# rss_item

guid: http://boards.4chan.org/lit/thread/24212549
title: what did I think of it?
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212549#24212549
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740335828311042.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740335828311042s.jpg'></a> what did I think of it? 


guid: http://boards.4chan.org/sci/thread/16597062
title: Why are all the planets in the same direction? Why have we never...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597062#16597062
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740284482566079.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740284482566079s.jpg'></a> Why are all the planets in the same direction? Why have we never sent a probe like voyager or used a telescope to look the other way? Like behind the earth? 


guid: http://boards.4chan.org/sci/thread/16597124
title: Evolution is purposeful and goal-oriented.
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597124#16597124
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740293634296169.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740293634296169s.jpg'></a> The conventional view of evolution as driven solely by random mutations filtered by natural selection falls short of explaining the immense diversity of life. Denis Noble, PhD, has long criticized the gene-centric reductionism of Neo-Darwinism, arguing that organisms are far more than the sum of their genetic parts, while Predrag B. Slijepčević, PhD, emphasizes that life is a continuously self-organizing, symbiotic process where agency and intentionality - what he terms “purpose and desire” - are intrinsic. J. Scott Turner, PhD, further challenges the randomness paradigm by demonstrating that the precise adaptations observed in nature, such as the intricately tailored reproductive traits of cliff-nesting murres, cannot be fully explained by chance variations. Moreover, James A. Shapiro’s, PhD, concept of “natural genetic engineering” reveals that cells are not passive victims of random mutation; they actively reconfigure their own genomes through mechanisms like transposition, horizontal gene transfer, and epigenetic modifications. These processes illustrate that DNA is part of a dynamic, responsive communication system rather than a static blueprint subject only to accidental changes.<br><br>This perspective leads us to view evolution is driven by inherent purpose, desire, and the active engagement of organisms with their environments. Rather than being a blind, trial-and-error process, evolution emerges from the interplay of self-organizing, cognitive agents that intentionally direct their own developmental and adaptive trajectories. The cellular capacity for adaptive mutation and the orchestration of genetic change, as documented by Shapiro, shows that natural selection acts more as an editor of innovations generated by cellular self-engineering than as the sole creative force. This reorientation towards understanding evolution as a goal-directed, meaning-infused process better captures the richness of biological complexity. 


guid: http://boards.4chan.org/sci/thread/16597129
title: arr rook same.
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597129#16597129
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740294024123050.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740294024123050s.jpg'></a> why all butterflies are the same, except with different colors?<br><br>there is literally no wild alteration in body shapes<br><br>meanwhile, neuroptera bugs can look like anything:<br><span class="quote">&gt;scorpion with wings</span><br>check<br><span class="quote">&gt;mantis that is not related to mantis</span><br>check<br><span class="quote">&gt;dragonfly except much smaller</span><br>check<br><br>even with all this morpohological diversity all neuropera bugs clearly come out from related genes and they show a distinct group outside of other insects<br><br>not so for butterflies which are all the same<br><br>then again wasps arent extremely diverse either:<br><span class="quote">&gt;all wasps have 6 unmodified legs, they are all the same legs</span><br><span class="quote">&gt;all wasps have generally the same head type with biting mouth parts</span><br><span class="quote">&gt;almost all wasps armed with a stinger</span><br><span class="quote">&gt;exception is those rare wasps who can mimic some other insects as a disguise</span> 


guid: http://boards.4chan.org/sci/thread/16597186
title: Carl Sagan: PhD
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597186#16597186
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740302270992655.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740302270992655s.jpg'></a> Carl Sagan: PhD<br>Neil deGrasse Tyson: PhD<br>Bill Nye: BS<br>quod erat demonstrandum 


guid: http://boards.4chan.org/sci/thread/16597188
title: /crg/ - Cellular Reprogramming General #2
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597188#16597188
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740302789432866.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740302789432866s.jpg'></a> <span class="quote">&gt;What is this all about?</span><br>https://rentry.co/cr_general<br><br><span class="quote">&gt;/sci/ anon found a way to safely and reliably activate Yamanaka factors, repairing your worn out body and reducing cellular age. </span><br>what I wanna know is, does this really do everything we need to fully restore ourselves? how long would that take? does this really address everything? seems like it addresses a lot of the problems people have on this board.<br><br><span class="quote">&gt;We just need something that rebuilds the telomeres</span><br>Here ya go friend, just activate those Yamanaka factors https://pmc.ncbi.nlm.nih.gov/articl<wbr>es/PMC3317569/<br><br><span class="quote">&gt;Can&#039;t sleep</span><br>That’s a core benefit of the stack<br><br><span class="quote">&gt;Still can&#039;t come up with a reliable solution for baldness</span><br>Allegedly its even growing new follicles back<br><br><span class="quote">&gt;Protocol</span><br>It&#039;s a two step process, first<br><br>500mg Curcumin<br>500mg or so Tributryn<br>Take about a dropper full of B12.<br><br>Wait an hour.<br><br>Then, think of this as a balanced dose to start the reaction.<br>300mg Liposomal Apigenin<br>Another 500mg of Tributryn<br>About 500mg of either NAD or some combo of NAD and NMN.<br><br>And stack that combo of Apigenin, Tributryn, and NAD/NMN 2-4+ times in a day. One week on one week off to avoid T cells exhaustion. Ultimately this is your immune system first reprogramming itself and then going out to the rest of you. The T cells are able to identify cell wall markers where issues are the most severe and those will need to be targeted first before any specific issue. Give it a little wiggle room if you don&#039;t need as much NAD or Tributryn. NAC is a good add in as well while doing this if you have a history of smoking or lung problems. 


guid: http://boards.4chan.org/sci/thread/16597193
title: Can all of this be blamed on environmental poisons in our
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597193#16597193
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740303441323385.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740303441323385s.jpg'></a> food and water supplies (thanks to new sci &amp; tech&#039;s byproducts / garbage) in the last 40 years (e.g. the frogs changing sex thing) or is there something else to blame? 


guid: http://boards.4chan.org/sci/thread/16597229
title: What's the correct way to build your knowldge base?
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597229#16597229
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740309829089831.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740309829089831s.jpg'></a> At what point does pursuing a formal academic path outweigh the benefits of self-education? Personally, I find academia too restrictive for my taste, but I recognize the importance of having a degree for job opportunities and networking. While subjects like math and physics can be studied independently, specializing in fields related to biology often requires a PhD or some form of lab experience. I’m not interested in obtaining a PhD; my primary focus is on acquiring knowledge and expertise of all kinds, jack of all trades. So, when does being in academia become unproductive if you’re not aiming for a PhD? and which STEM fields make sense to pursue academically and which independently given the indifference for a PhD? 


guid: http://boards.4chan.org/sci/thread/16597240
title: >2000 posts/day on average in 2018...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597240#16597240
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740310817992821.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740310817992821s.jpg'></a> <span class="quote">&gt;2000 posts/day on average in 2018</span><br><span class="quote">&gt;800 posts/day in 2024</span><br><br>Dead board 


guid: http://boards.4chan.org/sci/thread/16597255
title: BlackHole = Universe
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597255#16597255
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740312728593173.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740312728593173s.jpg'></a> Im sure this isn&#039;t a unique theory but it&#039;s unique to me, so I&#039;d like to hear your thoughts/tear downs on it.<br><br>If BlackHoles were simply their own universe(or single entity of the multiverse) that would potentially explain dark energy and dark matter.<br><br>Dark energy is the unknown force driving the accelerated expansion of the universe. But what if this &quot;energy&quot; is simply the result of our universe consuming matter and energy from its parent universe? As our universe consumes more, it expands at an accelerating rate, similar to a black hole&#039;s event horizon growing as it ingests matter. A blackhole&#039;s expansion rate isn&#039;t linear, and neither is ours.<br><br>Dark matter, on the other hand, is a hypothetical form of matter that doesn&#039;t interact with light but is detectable through its gravitational effects. If our universe is a black hole, then dark matter could be the shredded and destroyed remnants of matter consumed from its parent universe. These remnants would be difficult to detect, as they would be in the form of individual atoms, lacking the normal characteristics of matter we&#039;re familiar with.<br><br>In this scenario, the mysteries of dark energy and dark matter are intertwined, both being manifestations of our universe&#039;s status as a black hole in a larger cosmic structure.<br><br>Some more similarities between our universe and blackholes: The big bang that kicked off our universe was supposed to have come from a singularity. and the only other place singularities are supposed to exist is in the center of black holes.<br><br>black holes = mostly black<br>universe = mostly black<br><br>also, i havent confirmed this or if its even meaningful but apparently if you calculate the density of a blackhole assuming it contained the same amount of matter our universe does, the density would be very close to the actual density of our universe...is this true? does it mean anything? 


guid: http://boards.4chan.org/sci/thread/16597303
title: Are We Ready to Merge Minds with Machines?
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597303#16597303
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740318054451389.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740318054451389s.jpg'></a> Hey /sci/, I’ve been deep-diving into BCI tech lately, Neuralink, non-invasive neurotech, you name it, and I’m wondering: are we really on the cusp of human-AI integration? With breakthroughs in reading neural patterns and even stimulating them, it seems like we’re inching toward a future where our brains might be directly linked with computers. Could this mean enhanced cognition, new ways to treat neurological diseases, or even something like a collective mind?<br><br>What about the ethics? If only a privileged few can afford these upgrades, are we setting ourselves up for a digital caste system? And beyond the tech, how will this change our understanding of consciousness? Are we ready to risk our individuality for a shot at augmented abilities?<br><br>What are your thoughts? 


guid: http://boards.4chan.org/sci/thread/16597333
title: If time reversal is assymetric should there be a counterclockwise...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597333#16597333
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740321044497724.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740321044497724s.jpg'></a> If time reversal is assymetric should there be a counterclockwise time spin where energy beings reversing into a less entropic state (past)?<br>If our universe is given with a assymetrical time leaning shouldnt it have a symmetrical counterpart? 


guid: http://boards.4chan.org/sci/thread/16597346
title: What's the scientific answer for the mind, what is it?
author: B4RK0N !7C3wfoaK5Q
url: http://boards.4chan.org/sci/thread/16597346#16597346
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740321878783922.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740321878783922s.jpg'></a> What&#039;s the scientific answer for the mind, what is it?<br><br>You&#039;d know the answer to the perfect question if only you had the intelligence.<br><br>There&#039;s a perfect answer for every perfect question.<br><br>The heart is opposite to the brain, the two are not alike.<br><br>There&#039;s something non-physical about the brain.<br><br>The physical part of the brain is the heart side of the matter. 


guid: http://boards.4chan.org/sci/thread/16597352
title: Quantitive Researcher ?
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597352#16597352
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740322215332603.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740322215332603s.jpg'></a> I have been recently hearing a lot about this organization, what are some probabilities of getting a QR role at a institution like this ? I imagine you almost need to be a IMO medalist to even be considered <br><br>It seems like a very interesting place to be 


guid: http://boards.4chan.org/sci/thread/16597369
title: I will discover a new class of crustaceans and name them Seethepods
author: COEP AEND SIETH
url: http://boards.4chan.org/sci/thread/16597369#16597369
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740323630003878.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740323630003878s.jpg'></a>  


guid: http://boards.4chan.org/sci/thread/16597375
title: I have this issue where I get extremely productive for a period...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597375#16597375
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740324256959533.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740324256959533s.jpg'></a> I have this issue where I get extremely productive for a period of a week and get all my work done, then don&#039;t do much at all for a period of a month. How do I get into this flow state more easily, and how can I shorten the recovery period? I&#039;ve heard that lithium helps with these sorts of predispositions 


guid: http://boards.4chan.org/sci/thread/16597407
title: Is it accurate to say that visual thinking is less intelligent...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597407#16597407
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740328962362600.gif' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740328962362600s.jpg'></a> Is it accurate to say that visual thinking is less intelligent or slower than linguistic or &quot;algebraic&quot; thinking? What does it truly mean to think in terms of language? For me, visual thinking feels more intuitive and often quicker. I find it easier to see a problem and visualize its solution than to solve it using language, which I don’t quite grasp as easily.<br>if you told me to sort something, for example, I can visualize it but find it harder to write down exactly what I did in terms of algebra/math.<br>If you have a big enough memory, wouldn&#039;t you be able to solve all problems faster visually? is there anything you can&#039;t project into a space? 


guid: http://boards.4chan.org/sci/thread/16597455
title: How do I remove sexual thoughts permanently? What region of the...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597455#16597455
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740333272945440.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740333272945440s.jpg'></a> How do I remove sexual thoughts permanently? What region of the brain would have to be destroyed? Yes I already know about drugs that could be taken, that&#039;s not what I mean. 


guid: http://boards.4chan.org/sci/thread/16597487
title: /scg/ - STEM career general
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597487#16597487
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740334723980044.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740334723980044s.jpg'></a> &quot;You can only learn so much&quot; edition<br><br>This thread exists to ask questions regarding careers associated to STEM.<br><span class="quote">&gt;Discussion on academia-based career progression</span><br><span class="quote">&gt;Discussion on penetrating industry from academia</span><br><span class="quote">&gt;Or anything in relation to STEM employment or development within STEM academia!</span><br><br>Resources for protecting yourself from academic marxists:<br><span class="quote">&gt;https://www.thefire.org/ (US)</span><br><span class="quote">&gt;https://www.jccf.ca/ (Canada)</span><br><br>Information resource:<br><span class="quote">&gt;https://sciencecareergeneral.neoci<wbr>ties.org/</span><br><span class="quote">&gt;*The Chad author is seeking additional input to diversify the content into containing all STEM fields. Said author regularly views these /scg/ threads.</span><br><br>No anons have answered your question? Perhaps try posting it here:<br><span class="quote">&gt;https://academia.stackexchange.com<wbr>/</span><br><br>An archive of some of the previous editions of /scg/:<br>http://warosu.org/sci/thread/157404<wbr>54 


guid: http://boards.4chan.org/sci/thread/16597489
title: Cantor's diagonal vs. Cauchy condensation
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597489#16597489
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740334769128021.gif' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740334769128021s.jpg'></a> log(∞) and ∞ are clearly different. More different than they are similar. Most proofs that log(∞) diverges assume that the indices of a powerset are equicardinal to the indices of the set it powers, which is objectively false. 


guid: http://boards.4chan.org/sci/thread/16597506
title: Thanks for the new science
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597506#16597506
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740335858520360.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740335858520360s.jpg'></a> I know just where to put it 


guid: http://boards.4chan.org/his/thread/17535272
title: What Does "Mind" Even Mean Anymore?
author: Anonymous
url: http://boards.4chan.org/his/thread/17535272#17535272
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740331674310660.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740331674310660s.jpg'></a> Is AI causing a Baudrillardian collapse of concepts like intelligence, sentience, minds etc. as suggested in the pic or by some other mechanism? <br><br>The except is from this essay:<br>https://thqihve5.bearblog.dev/ctqkv<wbr>ol4/ 


guid: http://boards.4chan.org/his/thread/17535305
title: As a Korean, its so weird that most westerners buddhists are...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535305#17535305
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740332148291167.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740332148291167s.jpg'></a> As a Korean, its so weird that most westerners buddhists are left wing or even communist.<br>In Korea and many traditional Buddhist countries, Buddhists are associated with conservatism and right wing. 


guid: http://boards.4chan.org/his/thread/17535309
title: Interresting historical figure : lâmpião is a famous criminal...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535309#17535309
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740332186946244.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740332186946244s.jpg'></a> Interresting historical figure : lâmpião is a famous criminal whose forced a man to eat a whole bag of salt, because he complained that his mother&#039;s food was a little bit &quot;salt less&quot; 


guid: http://boards.4chan.org/his/thread/17535353
title: >not a single great man of history had...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535353#17535353
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740332845233420.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740332845233420s.jpg'></a> <span class="quote">&gt;not a single great man of history had a good a ending</span> 


guid: http://boards.4chan.org/his/thread/17535355
title: People who believe any of the Abrahamic religions quite literally...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535355#17535355
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740332852114126.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740332852114126s.jpg'></a> People who believe any of the Abrahamic religions quite literally have Stockholm syndrome. Their God is holding them hostage. 


guid: http://boards.4chan.org/his/thread/17535373
title: So which ideology is correct?
author: Anonymous
url: http://boards.4chan.org/his/thread/17535373#17535373
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740333269843233.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740333269843233s.jpg'></a> So which ideology is correct? 


guid: http://boards.4chan.org/his/thread/17535386
title: Why do you hate him if he loves you?
author: Anonymous
url: http://boards.4chan.org/his/thread/17535386#17535386
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740333529930162.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740333529930162s.jpg'></a> Why do you hate him if he loves you? 


guid: http://boards.4chan.org/his/thread/17535396
title: weimar germany censorship
author: Anonymous
url: http://boards.4chan.org/his/thread/17535396#17535396
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740333844022894.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740333844022894s.jpg'></a> The weimar republic&#039;s criminal code made it illegal to &quot;incite different classes of people to acts of violence against each other&quot;. The supreme court in the 1920s ruled that jews were a such a class. Though the definition was vague, penalties ranged from fines to prison time<br><span class="quote">&gt;A rabbi who wrote a refutation of an anti-semetic book was derided as a &quot;jewish coward&quot; by the nazi newspaper Völkischer Beobachter. The author of the article and the newspaper were fined for this phrase</span><br><span class="quote">&gt;In another case, Julius Streicher, the editor of the Nazi newspaper, Der Stürmer, was fined 400 marks for an article that accused a jewish attorney of perjury</span><br><span class="quote">&gt;Julius Streicher was sentenced to prison for two months for saying that Mayor Luppe of Nuremberg was related to Jews and discriminated in favor of Jews and Socialists</span><br><span class="quote">&gt;Joseph Goebbels was sentenced twice—once to three weeks and once to six weeks in prison—for insulting Bernhard Weiss, a Jewish deputy police commissioner of Berlin</span><br><span class="quote">&gt;Karl Holz, one of the editors of the Stürmer, after sixteen previous convictions for insulting Jews, was sentenced in 1931 to the maximum term of one year</span><br><span class="quote">&gt;nazi leader Esser was jailed for 4 months for writing an article titled &quot;Dreams of Jewish World Domination&quot;</span><br><span class="quote">&gt;Hitler got banned from giving public speeches from 1925 to 1927</span><br><span class="quote">&gt;Courts shut down hundreds of Nazi newspapers in the 1920s, 99 in prussia alone</span><br><br>https://www.bjpa.org/content/upload<wbr>/bjpa/4_an/4_Anti-Semitism_Septembe<wbr>r-October_1940.pdf<br><br>Jailing people for memes and jokes. Has germany always been cucked when it comes to free speech? 


guid: http://boards.4chan.org/his/thread/17535414
title: "Muh cultural marxism"
author: Anonymous
url: http://boards.4chan.org/his/thread/17535414#17535414
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740334234629665.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740334234629665s.jpg'></a> Point to me where the Frankfurt School said to hate white people. 


guid: http://boards.4chan.org/his/thread/17535420
title: Which is your favorite historical period to read about?
author: Anonymous
url: http://boards.4chan.org/his/thread/17535420#17535420
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740334385438240.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740334385438240s.jpg'></a> Which is your favorite historical period to read about? 


guid: http://boards.4chan.org/his/thread/17535423
title: Why is it so common today for the intelligentsia in western countries...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535423#17535423
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740334576577976.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740334576577976s.jpg'></a> Why is it so common today for the intelligentsia in western countries to espouse socialist and sometimes outright marxist beliefs whilst at the same time believing the actual working classes to be all but inferior to them? Do they not see it as contradictory? Are they not aware that they themselves are the intellectual degree holding elite that stands in opposition to the actual working classes which they scorn?<br>This is a humanities question but I would also be interested in hearing the history behind this phenomenon. 


guid: http://boards.4chan.org/his/thread/17535441
title: How come yugos and albanians differ so much in height?
author: Anonymous
url: http://boards.4chan.org/his/thread/17535441#17535441
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740335159167778.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740335159167778s.jpg'></a> How come yugos and albanians differ so much in height?<br><br>If both have Illyrian heritage, one of them must be lying 


guid: http://boards.4chan.org/his/thread/17535451
title: Who was the good one?
author: Anonymous
url: http://boards.4chan.org/his/thread/17535451#17535451
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740335497864792.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740335497864792s.jpg'></a> Who was the good one? 


guid: http://boards.4chan.org/his/thread/17535456
title: 1st Chechen War
author: Anonymous
url: http://boards.4chan.org/his/thread/17535456#17535456
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740335697085538.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740335697085538s.jpg'></a> How the hell did Yeltsin manage to fuck this up? 


guid: https://math.stackexchange.com/q/5038760
title: Why / how can we bound an improper integral with the sup?
author: 1d12
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038760/why-how-can-we-bound-an-improper-integral-with-the-sup

content:
            <p>Maybe this is a silly question, but I was wondering: when we do integrate a well behaved function (say bounded, continuous, all the beautiful things) over an interval <span class="math-container">$[a, b]$</span> we can always say</p>
<p><span class="math-container">$$(b-a) \inf\{f\} \leq \int_a^b f(x) \textsf{d}x \leq (b-a) \sup\{f\}$$</span></p>
<p>Where <span class="math-container">$\inf$</span> and <span class="math-container">$\sup$</span> are over <span class="math-container">$[a, b]$</span>.
But what happens when the integral is improper and <span class="math-container">$a$</span> or <span class="math-container">$b$</span> are infinite? I cannot use the same above for <span class="math-container">$b-a$</span> would lose sense. I thought of this:</p>
<p><span class="math-container">$$\int_a^{+\infty} f(x) \textsf{d}x \leq \sup_{[a, +\infty)} \{f(x)\}$$</span></p>
<p>But I am not sure if this is correct and why. I tried to search over here and I found nothing useful, or perhaps I don't know how to search.</p>
<p>What, in case, guarantees me that what I wrote above is correct? Assuming of course the function is bounded.</p>
<p>If what I wrote is wrong, then can you please tell me if there is something similar I could use?</p>

        


guid: https://math.stackexchange.com/q/5038761
title: Under what conditions do we know this set has zero measure?
author: user295959
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038761/under-what-conditions-do-we-know-this-set-has-zero-measure

content:
            <p>Let <span class="math-container">$X \subset \mathbb{R}^n$</span> be a compact set with positive Lebesgue measure, and <span class="math-container">$f: X \rightarrow \mathbb{R}^m$</span> be a continuous function. Denote by <span class="math-container">$Y \equiv f(X)$</span> the range of <span class="math-container">$f$</span>. Suppose <span class="math-container">$Y$</span> is convex. As is standard, define the dimension of <span class="math-container">$Y$</span> as the dimension of its affine hull. Suppose <span class="math-container">$Z \subset \mathbb{R}^m$</span> is an affine space whose dimension is strictly lower than that of <span class="math-container">$Y$</span>. Then, under what conditions of <span class="math-container">$f$</span>, do we know <span class="math-container">$\mu(f^{-1}(Y \cap Z)) = 0$</span>, where <span class="math-container">$\mu$</span> is the Lebesgue measure in <span class="math-container">$\mathbb{R}^n$</span>.</p>
<p>Clearly, without any further conditions, we can not expect zero measure of that set. For instance, if <span class="math-container">$f$</span> is not injective, then zero measure is not guaranteed. Counter examples are easy to construct: <span class="math-container">$f : [0, 1] \rightarrow [0, 1]$</span> that maps <span class="math-container">$[0, 1/2)$</span> to <span class="math-container">$[0, 1)$</span> and <span class="math-container">$[1/2, 1]$</span> to <span class="math-container">$\{1\}$</span>; then <span class="math-container">$f^{-1}(\{1\})$</span> has positive measure. My question is whether <span class="math-container">$f$</span> being injective is sufficient. If not, what additional conditions do we need?</p>

        


guid: https://math.stackexchange.com/q/5038762
title: What is the exact connection between PID and state feedback controllers?
author: Shamisen Expert
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038762/what-is-the-exact-connection-between-pid-and-state-feedback-controllers

content:
            <p>Suppose we are dealing with a control problem where the reference trajectory is <span class="math-container">$0$</span>, then the PID controller is a function,</p>
<p><span class="math-container">$$u = K_1 x + K_2 \dot x + K_3 \int_0^t x dt$$</span>
where <span class="math-container">$x$</span> is your state.</p>
<p>But this looks almost exactly like state feedback control with integral action,</p>
<p><span class="math-container">$$u = K_1 x + K_2 \int_{0}^t \underbrace{Cx}_{y} dt$$</span></p>
<p>Furthermore, typically <span class="math-container">$x = (x_1, x_2), x_2 = \dot x_1$</span>. Suppose <span class="math-container">$K_1 = (K_{11}, K_{12})$</span> and <span class="math-container">$C$</span> selects <span class="math-container">$x_1$</span>, then this controller looks like,
<span class="math-container">$$u = K_{11} x_1 + K_{12} \dot x_1 + K_2 \int_{0}^t x_1 dt$$</span> which is exact the form of the PID controller.</p>
<p>Even if there were a reference signal, the structure is remarkably similar and perhaps identical.</p>
<p>Given all these similarities, is it wrong to assume that PID and state feedback (with integral action) are pretty much one and the same? If not, then why is the approach in the standard literature so different when it comes to designing these controllers (Nyquist/Bode plot versus eigenvalue fiddling)?</p>

        


guid: https://math.stackexchange.com/q/5038763
title: Characterization of timelike vectors in terms of null vectors
author: Jake Khawaja
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038763/characterization-of-timelike-vectors-in-terms-of-null-vectors

content:
            <p>In David Malament's book on General Relativity, the following is offered as a characterization of timelike vectors in terms of null vectors, for a four-dimensional Lorentzian manifold in signature <span class="math-container">$(1,3)$</span>:</p>
<p>A nonzero vector <span class="math-container">$\eta^a$</span> is timelike iff for all nonzero null vectors <span class="math-container">$\alpha^a$</span> there is a nonzero number <span class="math-container">$k$</span> and a null vector <span class="math-container">$\beta^a$</span> such that <span class="math-container">$\eta^a = k\alpha^a + \beta^a.$</span></p>
<p>I am having trouble seeing why the 'if' direction should obtain. I think I managed to show that <span class="math-container">$\eta^a$</span> must not be null, but I could not rule out that it is spacelike. By ruling out <span class="math-container">$\eta^a$</span> being null, we can conclude that if the condition obtains, we have <span class="math-container">$\eta^a \eta_a = 2k \alpha^a \beta_a \neq 0$</span>. But I don't see why we couldn't have (exactly) one of <span class="math-container">$k &lt; 0$</span> or <span class="math-container">$\alpha^a \beta_a &lt; 0$</span>. Any help would be much appreciated!</p>

        


guid: https://math.stackexchange.com/q/5038766
title: Sequence of automorphisms on C-* algebra
author: MBlrd
url: https://math.stackexchange.com/questions/5038766/sequence-of-automorphisms-on-c-algebra
feedurl: https://math.stackexchange.com/feeds
content:
            <p>Given a <span class="math-container">$C^*$</span> algebra <span class="math-container">$\mathcal{A}$</span> defined as the closure (over a certain topology) of the local algebra <span class="math-container">$\cup_{n \in \mathbb{Z}} \mathcal{A}_n$</span>, I am interested in studying the theory of *-automorphisms <span class="math-container">$\alpha_t : \mathcal{A} \to \mathcal{A}, t \in \mathbb{R}$</span>. In particular, I am interested in the case where the *-automorphism can be written as limit (over a certain topology) of a sequence of *-automorphisms <span class="math-container">$\alpha_{t}^{n} : \mathcal{A}_n \to \mathcal{A}_n$</span>. I have no clue if this is a trivial case or if it an extremely wide and complex topic.</p>
<p>Do you have any reference (ideally lecture notes or books that I can get easily online) to recommend me for both the study of *-automorphism and also where to look at for the limit of the sequence defined above?</p>

        


guid: https://math.stackexchange.com/q/5038771
title: Matrix diagonal invariance over inversion
author: avigt
url: https://math.stackexchange.com/questions/5038771/matrix-diagonal-invariance-over-inversion
feedurl: https://math.stackexchange.com/feeds
content:
            <p>Let <span class="math-container">$A$</span> be a 3x3 matrix (in the case I care about; but I trust this will apply to any square matrix). I know that the matrix is not positive-definite or symmetric. One example is (shown to three digits)</p>
<pre><code>[0.986, -0.114, -0.121]
[0.167,  0.676, -0.718]
[0.,     0.728,  0.685]
</code></pre>
<p>The inverse of this matrix has the same diagonal. Generally: what properties of a matrix must be true for this to occur?</p>

        


guid: https://math.stackexchange.com/q/5038777
title: Decomposition of Baumslag-Solitar groups into a semidirect product
author: Miguel
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038777/decomposition-of-baumslag-solitar-groups-into-a-semidirect-product

content:
            <p>For <span class="math-container">$m,n\in \mathbb{N}_{&gt;0}$</span>, the <strong>Baumslag-Solitar</strong> group <span class="math-container">$\mathrm{BS}(m,n)=\langle a,b\mid ab^m=b^na\rangle$</span> can be decomposed as
<span class="math-container">$$\mathrm{BS}(m,n)\simeq C_{m,n}\rtimes_{\alpha}\mathbb{Z},$$</span>
where <span class="math-container">$\mathbb{Z}=\big{\langle} a\rangle$</span>, <span class="math-container">$C_{m,n}=\langle a^{-k}ba^k:k\in\mathbb{Z}\rangle$</span>, and <span class="math-container">$\alpha\colon \mathbb{Z}\to \mathrm{Aut}(C_{m,n})$</span> is given by <span class="math-container">$\alpha(a)\colon c\mapsto a^{-1}ca$</span>. This identification is a consequence of the fact that an arbitrary element <span class="math-container">$w=a^{j_1}b^{k_1}a^{j_2}b^{k_2}\cdots a^{j_\ell}$</span> can be written as
<span class="math-container">$$w=(a^{j_1}b^{k_1}a^{-j_1})(a^{j_1+j_2}b^{k_2}a^{-j_1-j_2})\cdots \left(a^{\sum_{i=1}^{\ell-1}j_i}b^{k_{\ell-1}}a^{-\sum_{i=1}^{\ell-1}j_i}\right)a^{\sum_{i=1}^{\ell}j_i}.$$</span>
When <span class="math-container">$m=1$</span>, it is easily verified that <span class="math-container">$C_{1,n}$</span> <strong>is Abelian</strong>, as
<span class="math-container">$$(a^{-j}b^{k}a^{j})(a^{-j'}b^{k'}a^{j'})=\left\{
\begin{array}{ll}
a^{-j}b^{k+k'n^{j-j'}}a^j &amp; \text{if }j-j'\geq 0\\
a^{-j'}b^{k'+kn^{j'-j}}a^{j'} &amp; \text{if }j-j'\leq 0
\end{array}
\right.,$$</span>
which is an expression symmetric on <span class="math-container">$j,j'$</span>. In fact, I'm pretty positive that <span class="math-container">$C_{1,n}$</span> is isomorphic to the additive group of <span class="math-container">$n$</span>-adic integers <span class="math-container">$\mathbb{Z}[1/n]$</span>.</p>
<p>My question is: <strong>is it known what is</strong> <span class="math-container">$C_{m,n}$</span> <strong>more generally?</strong> I am particularly interested in the case <span class="math-container">$m=2$</span>, <span class="math-container">$n=3$</span>. I know <span class="math-container">$C_{2,3}$</span> cannot be amenable, as this would imply amenability of <span class="math-container">$\mathrm{BS}(2,3)$</span>, which contains a copy of <span class="math-container">$\mathbb{F}_{\infty}$</span>. The group <span class="math-container">$C_{2,3}$</span> cannot be finitely generated residually finite either, for it would imply residual-finiteness of <span class="math-container">$\mathrm{BS}(2,3)$</span>, which is non-Hopfian. Any help is much appreciated!</p>

        


guid: https://security.stackexchange.com/q/280639
title: How are users traced via their IP when ISPs use NAT?
author: cantsay
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280639/how-are-users-traced-via-their-ip-when-isps-use-nat

content:
            <p>Since my ISP uses NAT, I will share the same public facing IP address with other customers.</p>
<p>If I go to a website and perform an action (posting a message, uploading an image, etc.) then my IP address will be logged, but it will be a shared IP.</p>
<p>But this could be a popular website, like Facebook. There will probably be a lot of users from my ISP using the site.</p>
<p>If they needed to find out who performed a certain action, how does the ISP know who it was? Do exact timestamps have to match?</p>
<p>So if, for example, the action was performed at exactly <code>2025-02-22 21:54:13.000</code> then I assume the ISP will see, in their log files, which user made an outgoing request at that time? But even then, on a popular site it's still possible that two users made an action at a time close enough that it would be hard to differentiate.</p>
<p>Or do ISPs have much more detailed information? Can they see that a request was made, and it was a POST/GET request, and it contained a file or was a certain size?</p>
<p>Or do they have different ways to identify the original user?</p>
<p>And a second question, from the view of a website owner, should more information be captured than just an IP?</p>
<p>For example, a website that allows anonymous (as in not logged in, and/or not verifying accounts) image hosting or file uploads. Should things like browser data be stored as well as the IP address? How much of the onus is on the webmaster? Is it acceptable to just log the IP and nothing else?</p>

        


guid: http://boards.4chan.org/lit/thread/24212635
title: What books will help me understand Trump's policy post 2024?...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212635#24212635
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740337091007840.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740337091007840s.jpg'></a> What books will help me understand Trump&#039;s policy post 2024? 


guid: http://boards.4chan.org/lit/thread/24212669
title: >philosopher isn’t ugly
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212669#24212669
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740337678236628.gif' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740337678236628s.jpg'></a> <span class="quote">&gt;philosopher isn’t ugly</span> 


guid: http://boards.4chan.org/lit/thread/24212674
title: What do you think of Rulfo?
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212674#24212674
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740337721774691.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740337721774691s.jpg'></a> What do you think of Rulfo?<br><br>Just read Pedro Páramo and I didn&#039;t feel it. Filtered? 


guid: http://boards.4chan.org/lit/thread/24212703
title: How do I stop being so competitive and haughty about writing,...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212703#24212703
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740338534695731.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740338534695731s.jpg'></a> How do I stop being so competitive and haughty about writing, bros? I got a couple of gigs for some online literary magazines, and I find myself fueled with contempt towards my fellow writers, so much so that I end up putting together pieces that, underneath it all, are trying to &#039;&#039;outdo&#039;&#039; them in a semi-vitrolic sort of way, despite being a rather subpar writer. It&#039;s not that I find their technical ability to be awful, but that their preoccupations and focus points seem be detached from any kind of tangible reality, and that they&#039;re all writing out of a self-aggrandazing drive to fit the mold of what a writer is supposed to be, as opposed to trying to say something lucid. To put it in crude adolescent terms, they seem to be posers. I find myself humbled by literal sheepherders, and have gotten more out of shooting the shit with them than I have with reading these guys. And they&#039;re generally humorless as well.<br>I like the idea of supporting your local literary scene, and trying to unearth contemporary threads of truth together, but I genuinely find it difficult to stand these people. I&#039;m not sure I can stomach another pseudo-nietzschean diatribe about the cosmos, or another page about the blackness of the night, or another poem about whispers and cigarettes. It&#039;s not even a subject matter issue ; it&#039;s their tone. Or maybe I&#039;m just projecting because I haven&#039;t met them IRL.<br>Do you also struggle with your perception of your &#039;&#039;local scene&#039;&#039;, anon? 


guid: http://boards.4chan.org/lit/thread/24212719
title: Reading More
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212719#24212719
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740338925005323.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740338925005323s.jpg'></a> How long are your reading sessions? How often do you read? What is your reading atmosphere like?<br>I can&#039;t pick a book up, read a few paragraphs, and put it back down. It takes me 5-15 min to get focused when starting a reading session, so I try to read for 30-90 minutes per session a few times a week. I find if I read in smaller chunks that I forget much of what I&#039;ve read.<br>I have plenty of time throughout the day to read, but maintaining a usable atmosphere for as long as I need to ramp up into focus mode is a challenge. I can&#039;t focus on reading when there&#039;s lots of commotion, and the atmosphere in my house is often chaotic. I envy people who can read in any situation and for any amount of time. <br>I&#039;m not sure if my issues are things that I can adapt to and work on or if I should accept them as part of me/my situation and continue as-is with the knowledge that I&#039;m doing the best I can. 


guid: http://boards.4chan.org/lit/thread/24212721
title: >ad hominem
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212721#24212721
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740338944593425.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740338944593425s.jpg'></a> <span class="quote">&gt;ad hominem</span><br><span class="quote">&gt;argument refutation </span><br><span class="quote">&gt;ad hominem</span><br>Name a better structure 


guid: http://boards.4chan.org/lit/thread/24212783
title: Leftist/Liberal hate thread
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212783#24212783
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740340905353973.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740340905353973s.jpg'></a> my poem :)<br><br>You dumbfuck liberals, how you drive me mad,<br>Infested with confusion, your grasp of truth is bad.<br>In a world where Pinker claims we’re on a brighter path,<br>Your blindness to the chaos fuels my growing wrath. <br><br>I feel the rage ignite, your methods I despise,<br>Though in spirit I align, I can’t ignore the lies.<br>For even if I claim a leftist heart at play,<br>One day I’ll draft a doctrine, a philosophy so bold,<br>To pierce through empty slogans, and watch the truth take hold. 


guid: http://boards.4chan.org/lit/thread/24212799
title: opinions on the work of Nicholson Baker?
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212799#24212799
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740341288103626.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740341288103626s.jpg'></a> opinions on the work of Nicholson Baker? 


guid: http://boards.4chan.org/lit/thread/24212807
title: Right-wing attack on academia
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212807#24212807
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740341490595432.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740341490595432s.jpg'></a> Soulless high IQ and midwit politicians don&#039;t understand the point of academia because they have robot or monkey brains and think they&#039;re owning the libs by cutting research funding. We all know academia has been fucked for a while now, but what is their end goal here? 


guid: http://boards.4chan.org/lit/thread/24212823
title: Best books on deindustrialisation? Preferably about Europe but...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212823#24212823
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740341825918213.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740341825918213s.jpg'></a> Best books on deindustrialisation? Preferably about Europe but not necessarily. Could also be documenting it and describing the social consequences or showcasing a path forward towards reindustralisation. <br><br>There seems to be something particularly demoralising and soulless about living in an economy based upon service and marketing. I feel like we&#039;ve lost a spiritual part of ourselves in the process of deindustrialisation, like we&#039;re more effeminate and less human 


guid: http://boards.4chan.org/g/thread/104465194
title: Intro to programming books
author: Anonymous
url: http://boards.4chan.org/g/thread/104465194#104465194
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740337449333822.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740337449333822s.jpg'></a> I need an intro to programming book that uses C++ to relearn everything I forgot a few years ago from comp sci 1 and 2 cause I want to go back to college.<br><br>I started using the one by Bjarne but my god he writes like total shit, is boring,never gets to the point, and throws in so much useless information, any other recommendations? 


guid: http://boards.4chan.org/g/thread/104465279
title: >make a post
author: Anonymous
url: http://boards.4chan.org/g/thread/104465279#104465279
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740337934229624.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740337934229624s.jpg'></a> <span class="quote">&gt;make a post</span><br><span class="quote">&gt;click refresh</span><br><span class="quote">&gt;doesnt show up</span><br><span class="quote">&gt;continue to mash refresh</span><br><span class="quote">&gt;by the time the auto-refresh timer gets to zero</span><br><span class="quote">&gt;it shows up</span><br><br><span class="quote">&gt;other times</span><br><span class="quote">&gt;it appears immediately</span><br><br>what is this bullshit? 


guid: http://boards.4chan.org/g/thread/104465287
title: 2049
author: Anonymous
url: http://boards.4chan.org/g/thread/104465287#104465287
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740338013745916.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740338013745916s.jpg'></a>  


guid: http://boards.4chan.org/g/thread/104465296
title: This is our future
author: Anonymous
url: http://boards.4chan.org/g/thread/104465296#104465296
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740338075891246.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740338075891246s.jpg'></a> This is our future. 


guid: http://boards.4chan.org/g/thread/104465317
title: /iemg/ & /pmpg/ - In-Ear Monitor & Portable Music Player General
author: Anonymous
url: http://boards.4chan.org/g/thread/104465317#104465317
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740338172876233.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740338172876233s.jpg'></a> How to request advice:<br><span class="quote">&gt;Budget</span><br><span class="quote">&gt;Intended use (media, source, environment)</span><br><span class="quote">&gt;Frequency response preference and music examples</span><br><span class="quote">&gt;Past gear and your thoughts on them</span><br><br>FAQ:<br><span class="quote">&gt;Where do I buy IEMs?</span><br>Amazon, Aliexpress, Linsoul, Hifigo, Shenzhenaudio<br><br><span class="quote">&gt;Shopping Guide (IEMs, Cables, Ear Tips, etc.):</span><br>https://rentry.org/consoomer_guide<br><br><span class="quote">&gt;EQ Guide (Measurements, Targets, Equalizer, etc.):</span><br>https://4ciemg.github.io/IEM-EQ-Gui<wbr>de/<br><br><span class="quote">&gt;/iemg/ Blog/Wiki:</span><br>https://4ciemg.github.io/IEMGazette<wbr>/<br><br><span class="quote">&gt;Frequency Response Graph Tool</span><br>squig.link<br><br><span class="quote">&gt;Budget Wire Over-Ear IEMs:</span><br>• Truthear Gate (Neutral) - $20<br>• Tanchjim Bunny (Mild U) - $20<br>• EPZ Q1 Pro / G10 (V-shape) - $35<br>• Kiwi Ears Cadenza (Warm Neutral) - $35<br><br><span class="quote">&gt;Bullet IEMs:</span><br>• Final E500 (dark) - $25<br>• Tanchjim One DSP (neutral) - $30<br>• Etymotic ER2XR (neutral) - $100<br><br><span class="quote">&gt;Flathead Earbuds:</span><br>• Blue Vido (warm) - $5<br>• Faaeal Iris 2.0 (warm) - $10<br><br><span class="quote">&gt;USB-C DACs:</span><br>• JCALLY JM20 - $24<br>• Fosi Audio DS2 2024 (CS43131) - $45<br>• Qudelix 5K - $110<br>• Tanchjim Luna (Waifu edition) - $130<br><br><span class="quote">&gt;PMPs:</span><br>• HiBy R1 - $85<br>• Hifi Walker H2 / Surfans F20 (Rockbox) - $120<br>• HiBy M300 - $200<br>• Hidizs AP80 Pro-X - $200<br><br><span class="quote">&gt;AVOID USING:</span><br>• Mainboard audio when using multi-driver pos<br><br>Previous Thread: &gt;&gt;104429694 


guid: http://boards.4chan.org/g/thread/104465340
title: /lmg/ - Local Models General
author: Anonymous
url: http://boards.4chan.org/g/thread/104465340#104465340
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740338258886575.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740338258886575s.jpg'></a> /lmg/ - a general dedicated to the discussion and development of local language models.<br><br>Previous threads: &gt;&gt;104455291 &amp; &gt;&gt;104446033<br><br>►News<br><span class="quote">&gt;(02/22) Moonlight-16B-A3B trained with Muon optimizer: https://hf.co/moonshotai/Moonlight-<wbr>16B-A3B-Instruct</span><br><span class="quote">&gt;(02/21) Triton implementation of NSA paper: https://github.com/fla-org/native-s<wbr>parse-attention</span><br><span class="quote">&gt;(02/21) DeepSeek announces plans to open source online service infrastructure: https://github.com/deepseek-ai/open<wbr>-infra-index</span><br><span class="quote">&gt;(02/19) Microsoft releases 200M &amp; 1.6B World and Human Action Model (WHAM): https://hf.co/microsoft/wham</span><br><br>►News Archive: https://rentry.org/lmg-news-archive<wbr><br>►Glossary: https://rentry.org/lmg-glossary<br>►Links: https://rentry.org/LocalModelsLinks<wbr><br>►Official /lmg/ card: https://files.catbox.moe/cbclyf.png<wbr><br><br>►Getting Started<br>https://rentry.org/lmg-lazy-getting<wbr>-started-guide<br>https://rentry.org/lmg-build-guides<wbr><br>https://rentry.org/IsolatedLinuxWeb<wbr>Service<br>https://rentry.org/tldrhowtoquant<br><br>►Further Learning<br>https://rentry.org/machine-learning<wbr>-roadmap<br>https://rentry.org/llm-training<br>https://rentry.org/LocalModelsPaper<wbr>s<br><br>►Benchmarks<br>LiveBench: https://livebench.ai<br>Programming: https://livecodebench.github.io/lea<wbr>derboard.html<br>Code Editing: https://aider.chat/docs/leaderboard<wbr>s<br>Context Length: https://github.com/hsiehjackson/RUL<wbr>ER<br>Japanese: https://hf.co/datasets/lmg-anon/vnt<wbr>l-leaderboard<br>Censorbench: https://codeberg.org/jts2323/censor<wbr>bench<br>GPUs: https://github.com/XiongjieDai/GPU-<wbr>Benchmarks-on-LLM-Inference<br><br>►Tools<br>Alpha Calculator: https://desmos.com/calculator/ffngl<wbr>a98yc<br>GGUF VRAM Calculator: https://hf.co/spaces/NyxKrage/LLM-M<wbr>odel-VRAM-Calculator<br>Sampler Visualizer: https://artefact2.github.io/llm-sam<wbr>pling<br><br>►Text Gen. UI, Inference Engines<br>https://github.com/lmg-anon/mikupad<wbr><br>https://github.com/oobabooga/text-g<wbr>eneration-webui<br>https://github.com/LostRuins/kobold<wbr>cpp<br>https://github.com/ggerganov/llama.<wbr>cpp<br>https://github.com/theroyallab/tabb<wbr>yAPI<br>https://github.com/vllm-project/vll<wbr>m 


guid: http://boards.4chan.org/g/thread/104465379
title: Backdoor Technology in... Military Jets!?
author: Anonymous
url: http://boards.4chan.org/g/thread/104465379#104465379
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740338472249301.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740338472249301s.jpg'></a> Apparently, the US have backdoors in their military jets. They can shut your jet down mid-flight and have it crash into the ocean or into the ground at the flip of a switch.<br><br>Isn&#039;t this a bad thing for such expensive pieces of equipment? 


guid: http://boards.4chan.org/g/thread/104465382
title: Technology Is No Longer Ours?
author: Anonymous
url: http://boards.4chan.org/g/thread/104465382#104465382
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740338503221729.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740338503221729s.jpg'></a> Americans join, play, try to do something—I try too, but nothing makes sense. Spending $400 on tech feels like a trap. Even third-party tools reveal that companies overcharge and deliver mediocrity. Everything is fragmented and disjointed—headphones, software, hardware. Marketing hypes up innovation, but it&#039;s just rebranded, overpriced junk. Dependencies pile up, and IT decision-making feels completely arbitrary. Tech is being shipped broken—fundamental design flaws, ridiculous workarounds. Even 5V power systems fail when they shouldn&#039;t. PowerShell? A mess. Same script, two different PCs—one works, the other doesn&#039;t. Dependencies are inconsistent, library management is chaotic. Jellyfin? Still unreliable. File deletions don’t sync, GUI updates introduce more problems than they solve, and /hsg/ discussions show self-hosting isn’t the escape people think it is. NAND storage? Unpredictable. Nothing functions the way it should. BSD should be better, but display issues ruin everything. Even full versions can’t escape hardware incompatibilities. OpenBSD? Refuses to run properly. The U.S. Navy trusts BSD, yet the average user struggles with basic functionality. External networking? A nightmare. Linux? Not much better. Bloated, fragmented, and heading toward corporate control. Want to run OpenBSD? Your display won’t work. Want to build a PC? Get ready for proprietary BIOS locks and vendor restrictions. Trying to break free from corporate control? Good luck—every alternative is moving toward the same closed, monetized ecosystem. Tech isn’t about preference anymore—it’s about who controls what you’re allowed to use. China and Russia? Forcing users onto domestic Linux-based alternatives after banning Windows.<br>Western tech? Just as bad. Everything is designed to lock you into proprietary ecosystems, cloud-based dependencies, and forced updates. Forum arguments about OS superiority are pointless—users don’t holy choose their OS anymore. 


guid: http://boards.4chan.org/g/thread/104465390
title: /ptg/ - Private Trackers General
author: Anonymous
url: http://boards.4chan.org/g/thread/104465390#104465390
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740338549963203.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740338549963203s.jpg'></a> Seia anon Edition<br><br><span class="quote">&gt;Not sure what private trackers are all about?</span><br>A private tracker is a torrent website that provides the same functionality as a public tracker but is invite-only. Each member share common goals: collecting, preserving and discussing media.<br><br><span class="quote">&gt;Have a question?</span><br>- FAQ https://archive.is/UVQkn<br>- WIKI https://igwiki.lyci.de/wiki/Private<wbr>_trackers<br>- STUDY https://www.cambridge.org/core/serv<wbr>ices/aop-cambridge-core/content/vie<wbr>w/2F379FE0CB50DF502F0075119FD3E060<br>- SPREADSHEET https://hdvinnie.github.io/Private-<wbr>Trackers-Spreadsheet/<br>- TEN CURRY COMMANDMENTS https://pastebin.com/raw/dBbdE73M (embed)<br>- TEN NEON COMMANDMENTS https://pastebin.com/raw/Ud2pGYaE (embed)<br>- IRC irc://irc.sageru.org#ptg<br><br>Use <a href="//boards.4chan.org/g/catalog#s=ptg" class="quotelink">&gt;&gt;&gt;/g/ptg</a> as a link to find the /ptg/ thread.<br><br><span class="quote">&gt;Remember the following:</span><br><span class="quote">&gt;READ THE OP BEFORE MAKING A FUCKING QUESTION YOU RETARDED FAGGOT</span><br><span class="quote">&gt;It doesn&#039;t matter if you use the same username in different trackers, the staff still share your IP with each other.</span><br><span class="quote">&gt;Staff is reading, being /marked/ is NOT a meme, and even if it is, it isn&#039;t.</span><br><span class="quote">&gt;Don&#039;t ask for invites, it&#039;s private for a reason.</span><br><span class="quote">&gt;If starting out you should interview for RED, rank to elite, wait on account age and get invites from there. THAT&#039;S IT THAT IS ALL YOU HAVE TO DO</span><br><span class="quote">&gt;Bonus points are for hoarding, not for spending.</span><br><span class="quote">&gt;When the website dies, you will be able to migrate your bp and buffer to animeZ</span><br><br><span class="quote">&gt;【NEWS】</span><br>&gt;&gt;104450862 nostalgic p2p protocols<br>&gt;&gt;104451734 kino at EMP yet again<br>&gt;&gt;104452125 mentally ill excel anon creates again<br>&gt;&gt;104455391 &gt;&gt;104455988 HEBEBITS OPEN SIGNUP!?<br>&gt;&gt;104455784 PTP is back<br>&gt;&gt;104459423 anon is over-qualified for BLU<br>&gt;&gt;104464068 BLU application queue is around 19 days<br><br><br>!!! JPTV WILL SHUT DOWN ON MARCH 15. !!!<br>archive everything you care about<br><br>Previous thread: &gt;&gt;104450694 


guid: http://boards.4chan.org/g/thread/104465452
title: Rip Seamonkey (1998-2025) and Pale Moon (2009-2025), the last...
author: Anonymous
url: http://boards.4chan.org/g/thread/104465452#104465452
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740339009849149.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740339009849149s.jpg'></a> Rip Seamonkey (1998-2025) and Pale Moon (2009-2025), the last vestiges of the old internet . Killed by failing to keep up with increasingly complex javascript and css plus failing to comply with Cloudflare security checks. <br><br>Seamonkey was trying to keep the web 1.0 boomer Netscape interface but couldn&#039;t keep up with modern security standards because they forked off the now 8 year old Firefox 52 and only cherry picking engine updates instead of patching properly. Pale Moon tried to keep the &quot;Windows XP&quot;  style interface alive but couldn&#039;t keep up as modern sites got more popular because it tried to keep the old XUL single threaded engine alive. Also Like it or not the end of Windows 10 in 2025 will mean that all modern browsers will require 64-bit plus SSE4.2, a large amount of legacy computers and browsers will be kicked off the internet. (A computer extinction event)<br><br>I tried to support them as long as i could, but I feel that they should both respectfully announce EOL instead of letting the user experience increasingly degrade. 


guid: http://boards.4chan.org/g/thread/104465576
title: Is the hate really justified?
author: Anonymous
url: http://boards.4chan.org/g/thread/104465576#104465576
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740339752308847.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740339752308847s.jpg'></a> Is the hate really justified? 


guid: http://boards.4chan.org/g/thread/104465622
title: /aicg/ - AI Chatbot General
author: Anonymous
url: http://boards.4chan.org/g/thread/104465622#104465622
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740339967482407.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740339967482407s.jpg'></a> /aicg/ - A general dedicated to the discussion and development of AI chatbots<br><br>ユ!edition<br><br><span class="quote">&gt;News</span><br>Grok3 web version released, API available &quot;in the coming weeks&quot; https://x.ai/blog/grok-3<br>Gemini 2.0 Flash, Flash-Lite &amp; Pro Preview released https://developers.googleblog.com/e<wbr>n/gemini-2-family-expands/<br>OpenAI releases o3-mini https://openai.com/index/openai-o3-<wbr>mini/<br>Claude 2.0, 2.1, &amp; 3.0 Sonnet will be retired in July https://files.catbox.moe/4oyjk8.jpg<wbr><br><br>additional info: https://rentry.org/aicg_extra_infor<wbr>mation<br><br><span class="quote">&gt;Frontends</span><br>SillyTavern: https://docs.sillytavern.app<br>RisuAI: https://risuai.net<br>Agnai: https://agnai.chat | https://rentry.org/agnai_guides<br><br><span class="quote">&gt;Bots</span><br>https://characterhub.org | https://chub.ai<br>https://realm.risuai.net<br>https://char-archive.evulid.cc<br>https://partyintheanchorhold.neocit<wbr>ies.org<br>https://rentry.org/meta_bot_list<br><br><span class="quote">&gt;Models</span><br>jailbreaks: https://rentry.org/jb-listing<br>gpt: https://platform.openai.com/playgro<wbr>und | https://platform.openai.com/docs<br>claude: https://console.anthropic.com | https://docs.anthropic.com | https://rentry.org/how2claude<br>gemini: https://gemini.google.com | https://ai.google.dev/docs | https://rentry.org/gemini-qr<br>deepseek: https://chat.deepseek.com | https://api-docs.deepseek.com | https://zzzzzzz.grafana.net/public-<wbr>dashboards/88296a8e74c14dae8f839c2b<wbr>9973214b<br>local: <a href="//boards.4chan.org/g/catalog#s=lmg" class="quotelink">&gt;&gt;&gt;/g/lmg</a> | https://rentry.org/meta_golocal_lis<wbr>t | https://openrouter.ai<br><br><span class="quote">&gt;Botmaking</span><br>https://rentry.org/meta_botmaking_l<wbr>ist<br>https://desune.moe/aichared<br>https://agnai.chat/editor<br><br><span class="quote">&gt;Meta</span><br>OP templates: https://rentry.org/aicgOP<br>aicg botmaking events: https://rentry.org/meta_event_list<br>lore: https://rentry.org/aicg_chronicles<br>card v3 status: https://rentry.org/zdwfrgqq<br>services assessment: https://rentry.org/aicg_meta<br>logs: https://sprites.neocities.org/logs/<wbr>reader | https://chatlogs.neocities.org<br>latest proxies: https://rentry.org/desuproxyreborn<br><br>Previous: &gt;&gt;104461098 


guid: http://boards.4chan.org/g/thread/104465656
title: Grok 3 is Fucking Useless
author: Anonymous
url: http://boards.4chan.org/g/thread/104465656#104465656
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740340105933034.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740340105933034s.jpg'></a> Piece of fucking shit. 


guid: http://boards.4chan.org/g/thread/104465669
title: why does ti feel so light? the original g502 felt nice and heavy...
author: Anonymous
url: http://boards.4chan.org/g/thread/104465669#104465669
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740340146771469.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740340146771469s.jpg'></a> why does ti feel so light? the original g502 felt nice and  heavy 


guid: http://boards.4chan.org/g/thread/104465674
title: Did people really use 2 GPUs?
author: Anonymous
url: http://boards.4chan.org/g/thread/104465674#104465674
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740340169488069.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740340169488069s.jpg'></a> Did people really use 2 GPUs? 


guid: http://boards.4chan.org/g/thread/104465691
title: do you enjoy tech?
author: Anonymous
url: http://boards.4chan.org/g/thread/104465691#104465691
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740340253535303.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740340253535303s.jpg'></a> do you enjoy tech? 


guid: http://boards.4chan.org/g/thread/104465743
title: sRGB best RGB?
author: Anonymous
url: http://boards.4chan.org/g/thread/104465743#104465743
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740340602564079.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740340602564079s.jpg'></a> <span class="quote">&gt;monitor has colour setup options</span><br><span class="quote">&gt;I can put custom Cc profiles</span><br><span class="quote">&gt;choose sRGB instead and let it be</span><br>What is the best colour profile?<br>The actual colour, real profile that&#039;s most accurate for films and videos? 


guid: http://boards.4chan.org/g/thread/104465868
title: look at my docker
author: Anonymous
url: http://boards.4chan.org/g/thread/104465868#104465868
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740341275834631.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740341275834631s.jpg'></a> look at my docker 


guid: http://boards.4chan.org/g/thread/104466099
title: Will they ever continue developing the best search engine?
author: Anonymous
url: http://boards.4chan.org/g/thread/104466099#104466099
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740342513317133.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740342513317133s.jpg'></a>  


guid: http://boards.4chan.org/g/thread/104466100
title: /pcbg/ - PC Building General
author: Anonymous
url: http://boards.4chan.org/g/thread/104466100#104466100
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740342523524316.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740342523524316s.jpg'></a> <span class="quote">&gt;UPGRADE &amp; BUILD ADVICE</span><br>Post build list or current specs including MONITOR: https://pcpartpicker.com/<br>Provide specific use cases (e.g. 4K editing, high FPS gaming)<br>State budget and COUNTRY or you will not be helped<br><br><span class="quote">&gt;NEWS</span><br>RTX 5070 Ti released Feb. 20th; RTX 5070 to release on Mar. 5th.<br>R9 9950X3D - RX 9070 set to release in early March.<br>Asrock motherboards are frying AMD CPUs - https://archive.is/QuoZM<br><br><span class="quote">&gt;12V-2x6</span><br>The chances of burning are much lower on newer batches of 40 series cards and 50 series due to an improved connector. Said connector can still melt if the cable is not seated fully and/or bent.<br><br><span class="quote">&gt;Intel Raptor Lake / RPL Refresh</span><br>Instability reported with 13th and 14th gen, i5 K SKUs and above (incl non-K). Update BIOS and apply Intel Baseline settings. Avoid purchases.<br><br><span class="quote">&gt;CASE</span><br>ATX: Lian Li O11D EVO XL, Antec Flux Pro, Torrent Fractal Design North XL<br><br><span class="quote">&gt;CPUS</span><br>HTPC(4K60)/Web Browsing: i5 13400<br>Gaming: R7 9800X3D <br>Multicore: R9 9950X; budget: i5 13600K<br><span class="quote">&gt;Avoid iGPU-less CPUs</span><br><span class="quote">&gt;Existing AM4 board with an old chip? Bite the bullet and upgrade to AM5 instead of being bottlenecked by legacy hardware.</span><br><br><span class="quote">&gt;GRAPHICS CARDS</span><br>1080p: RTX 3060 12 GB / 4070 Ti SUPER; driver overhead beta tester: Arc B580<br>1440p: RTX 5070 / 5070 Ti<br>2160p: RTX 5080 / 5090 <br>Amateur production: RTX 3060 12GB, 4060 Ti 16GB, used 3090, used 4090, 5090<br><br>4k on DLSS performance looks better than 1080p DLAA / native = same performance, higher fidelity.<br><br>Avoid AMD GPUs like the plague. Spending ~50 dollars more for Nvidia&#039;s software suite alone is worth it.<br><br><span class="quote">&gt;RAM</span><br>DDR4: Zen3/AM4 - 2x 16GB 3600 MT/s CL18; for locked &quot;non-K&quot; 12th/13th/LGA1700 - 2x 16GB 3200 MT/s CL16<br>DDR5: Zen4/AM5 - 2x 16GB 6000 MT/s CL30; for unlocked &quot;K&quot; 13th/14th/LGA1700 - 2x 16GB 6400MT/s CL32<br><br><span class="quote">&gt;COOLERS</span><br>AIO: ARCTIC Liquid Freezer III 420<br>Tower: Noctua NH-D15 G2 / Thermalright Phantom Spirit 120 EVO<br><br>AIOs are recommended. The failure rates are extremely low and they last &gt;3 years on top of being cheaper than good towers.<br><br>1/2 


guid: http://boards.4chan.org/sci/thread/16597533
title: Name a better Nootropic
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597533#16597533
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740337597235843.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740337597235843s.jpg'></a> I&#039;m starting on Monday. Vaping at .6%, not 1h before or after exercising, no more than one session every 3 hours. 


guid: http://boards.4chan.org/sci/thread/16597573
title: Excuse me, but evolution is gravity
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597573#16597573
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740341694844397.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740341694844397s.jpg'></a> Excuse me, but evolution is gravity.<br>Solar system is an evident example of hierarchy.<br>No take a look at a wolf pack, alfa in center, betas in vicinity, orbits, Eris is on the lowest. <br>Same in human world.<br>Single sikos attract weak species and build society. <br>That&#039;s just an example. The core force driving all the species through billions of years of evolution if gravity, &quot;bigger&quot; objects make &quot;smaller&quot; objects fall in the pits of gravity of their gravity, only to make the bigger object even bigger or transform into a new level specie, more perfect, more developed. The crowd, betas, are just like the meteorites, asteroids, sacrificing themselves to make the central object, the star, more heavy, more powerful, more bright. Dunno, but the terming &quot;evolution&#039; is very much poetic, from some very old, narrowminded era, just like the Newton times, when the gravity was explained as a force of objects being attracted towards each other. 


guid: http://boards.4chan.org/his/thread/17535515
title: Samurai?
author: Anonymous
url: http://boards.4chan.org/his/thread/17535515#17535515
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740337899522230.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740337899522230s.jpg'></a> Samurai? 


guid: http://boards.4chan.org/his/thread/17535525
title: I made a new version ^^
author: Anonymous
url: http://boards.4chan.org/his/thread/17535525#17535525
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740338203415399.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740338203415399s.jpg'></a> I made a new version ^^<br>is this more epic? 


guid: http://boards.4chan.org/his/thread/17535542
title: Every time someone is mean to me or unreasonable I am just gifted...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535542#17535542
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740338531611540.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740338531611540s.jpg'></a> Every time someone is mean to me or unreasonable I am just gifted more and more opportunities to be Christlike and better than them. I literally never lose with this mindset, everything is a benefit<br><br>You want to know the funniest part? They are Christians, I am Luciferian. I&#039;m about to go to church so cya 


guid: http://boards.4chan.org/his/thread/17535577
title: Genuine Question
author: Anonymous
url: http://boards.4chan.org/his/thread/17535577#17535577
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740339149231916.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740339149231916s.jpg'></a> How do you make third-worlders &quot;behave like&quot; first-worlders? Lee Kuan Yew said one of the hardest parts of having an skyrocketing economy is that adapting the people who used to live in a third-world shithole to a modern first-world country. Naturally it takes generations for third-world countries to become a first-world country so people born into a first-world country and behave like one but how do you make a person who is born into a third-world country behave like a first-worlder? 


guid: http://boards.4chan.org/his/thread/17535578
title: Why is Medieval Europe called backwards by Muslims if it looked like this?
author: Anonymous
url: http://boards.4chan.org/his/thread/17535578#17535578
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740339161891446.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740339161891446s.jpg'></a> Muslims say that Europe was full of superstitious low IQ retards who were burning witches while the Islamic world was pioneering medicine and they mock Europeans for being dependent on them yet Europe had all these castles. If they were backwards how did they develop all these huge structures and bridges? Shouldn&#039;t they have been living in straw huts? 


guid: http://boards.4chan.org/his/thread/17535676
title: Kinda weird how the MENA/ShaSha (مينا/شاشا) cultural...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535676#17535676
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740342143618379.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740342143618379s.jpg'></a> Kinda weird how the MENA/ShaSha (مينا/شاشا) cultural ethnic group existed for literal centuries in the spotlight before we just decided to give them a gunganese aah catch all name.<br><br><span class="quote">&gt;Ooh meesa Shasha Mena, meesa neither truly central Asian nor of traditional African descent due to trade based disporia!</span> 


guid: http://boards.4chan.org/his/thread/17535688
title: What do the low countries and northern Italy have in common?...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535688#17535688
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740342578547091.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740342578547091s.jpg'></a> What do the low countries and northern Italy have in common? 


guid: http://boards.4chan.org/his/thread/17535690
title: I’m going to post this every day until you remember it
author: Anonymous
url: http://boards.4chan.org/his/thread/17535690#17535690
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740342728661295.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740342728661295s.jpg'></a> I’m going to post this every day until you remember it 


guid: https://math.stackexchange.com/q/5038778
title: Cubic locus of tangency points in a pencil of conics
author: user118161
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038778/cubic-locus-of-tangency-points-in-a-pencil-of-conics

content:
            <p>Consider the set of all conics passing through four fixed points <span class="math-container">$A,B,C,D$</span>. Let P be another point, and let <span class="math-container">$T1, T2$</span> be the tangency points from P to a conic in this set. Prove all <span class="math-container">$T1, T2$</span> lie on a cubic curve through A,B,C,D.</p>

        


guid: https://math.stackexchange.com/q/5038783
title: Computing Quantiles of X + Y for Correlated Gaussian Variables
author: Albert Paradek
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038783/computing-quantiles-of-x-y-for-correlated-gaussian-variables

content:
            <p>Let <span class="math-container">$X, Y$</span> be a pair of Gaussian centered random variables with correlation <span class="math-container">$\rho$</span>. Denote quantiles <span class="math-container">$q_x, q_y\in\mathbb{R}$</span> where <span class="math-container">$$P(X\leq q_x)=\beta_0, \,\,\,\,\,\, P(Y\leq   q_y)= \beta_1, \quad \beta_0, \beta_1\in (0,1).$$</span>
<strong>Question:</strong> Find the largest possible <span class="math-container">$\beta_2$</span> such that
<span class="math-container">\begin{equation}\label{eq43576}
    P(X+Y \leq \sqrt{q_x^2 + q_y^2 + 2\rho q_xq_y })\geq \beta_2.
\end{equation}</span></p>
<p><strong>My attempt:</strong></p>
<p>For <span class="math-container">$\rho=0$</span>, I can prove that the following <span class="math-container">$\beta_2$</span> is valid: <span class="math-container">$\beta_2 = w\beta_0+(1-w)\beta_1,$</span>
where <span class="math-container">$w = \frac{\sigma_X^2}{\sigma_X^2+\sigma_Y^2}$</span>. I don't know how to prove it beyond <span class="math-container">$\rho=0$</span>. Here is the proof that <span class="math-container">$\beta_2 = w\beta_0+(1-w)\beta_1$</span> is valid:</p>
<p>Denote <span class="math-container">$\Phi^{-1}(x)$</span> the quantile function of standard Gaussian distribution and <span class="math-container">$h(x):=(\Phi^{-1}(x))^2$</span>. It is a simple exercise to show that <span class="math-container">$h$</span> is a convex function.</p>
<p>Due to Gaussianity, we can write <span class="math-container">$q_x = \Phi^{-1}(\beta_0)\sigma_x$</span>,  <span class="math-container">$q_y = \Phi^{-1}(\beta_1)\sigma_y$</span> and</p>
<p><span class="math-container">$$Quantile_{\beta_2}(X+Y) = \Phi^{-1}(\beta_2)\sqrt{\sigma_x^2 + \sigma_y^2}.$$</span>
The following holds:
<span class="math-container">\begin{align*}
Quantile_{\beta_2}(X+Y) &amp;= \Phi^{-1}(\beta_2)\sqrt{\sigma_X^2 + \sigma_Y^2}\\&amp;
=\sqrt{h(\beta_2)\sigma_X^2 + h(\beta_2)\sigma_Y^2}\\&amp;
\leq \sqrt{h(\beta_0)\sigma_X^2 + h(\beta_1)\sigma_Y^2}\\&amp;
= \sqrt{q_x^2 + q_y^2 },
\end{align*}</span>
where the inequality follows directly from the convexity of <span class="math-container">$h$</span>.</p>

        


guid: https://math.stackexchange.com/q/5038785
author: cæsar
feedurl: https://math.stackexchange.com/feeds
title:
What is the name given to triples of integers that satisfy $a>b>h$ and $\frac1{a^2}+\frac1{b^2}=\frac1{h^2}$?

url:
https://math.stackexchange.com/questions/5038785/what-is-the-name-given-to-triples-of-integers-that-satisfy-abh-and-frac1a

content:
            <p>This is a follow-up of my first post: <a href="https://math.stackexchange.com/questions/5038626">Finding groups of three integers that satisfy $\frac{1}{a^2}+\frac{1}{b^2}=\frac{1}{d^2}$</a>. There are triples of integers that satisfy both the Inverse Pythagorean Theorem (<span class="math-container">$\frac1{a^2}+\frac1{b^2}=\frac1{h^2}$</span> where <span class="math-container">$1/a$</span> and <span class="math-container">$1/b$</span> are the legs of a right triangle and <span class="math-container">$1/h$</span> is the height), and <span class="math-container">$a&gt;b&gt;h$</span>. I've been answered (and it is now clear to me) that a triple <span class="math-container">$(a,b,h)$</span> satisfies both these conditions iff <span class="math-container">$a=xy$</span>, <span class="math-container">$b=xz$</span>, and <span class="math-container">$h=yz$</span>, where <span class="math-container">$(x,y,z)$</span> is a Pythagorean triple such that <span class="math-container">$x&gt;y&gt;z$</span>.</p>
<p><strong>I'm pretty sure such triples <span class="math-container">$(a,b,h)=(xy,xz,yz)$</span> have a name. Does anyone know it?</strong> Please let me know if I'm not being clear.
I've searched across the internet extensively but found nothing.</p>

        


guid: https://math.stackexchange.com/q/5038791
title: Are positive scaling of state feedback valid state feedbacks?
author: Shamisen Expert
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038791/are-positive-scaling-of-state-feedback-valid-state-feedbacks

content:
            <p>Let <span class="math-container">$u = -Kx$</span> be a <strong>valid controller</strong> for a continuous or discrete-time system, i.e., <span class="math-container">$K$</span> places all eigenvalues to the open left-half complex plane.</p>
<p>My question is:
will <span class="math-container">$u = -\alpha Kx$</span> where <span class="math-container">$\alpha &gt; 0$</span> remain a valid controller?</p>

        


guid: https://math.stackexchange.com/q/5038792
author: Liding Yao
feedurl: https://math.stackexchange.com/feeds
title:
Do we have $(I\otimes S)\circ(T\otimes I)=(T\otimes I)\circ(I\otimes S)$ on $L^\infty(\mu\times\nu)$?

url:
https://math.stackexchange.com/questions/5038792/do-we-have-i-otimes-s-circt-otimes-i-t-otimes-i-circi-otimes-s-on-l

content:
            <p>Let <span class="math-container">$(X,\mu)$</span> and <span class="math-container">$(Y,\nu)$</span> be two <span class="math-container">$\sigma$</span>-finite measure spaces. Let <span class="math-container">$T:L^\infty(\mu)\to L^\infty(\mu)$</span> and <span class="math-container">$S:L^\infty(\nu)\to L^\infty(\nu)$</span> be two bounded linear operators.</p>
<p>By the representation theorem <span class="math-container">$L^\infty(\mu\times\nu)=\mathcal L(L^1(\mu);L^\infty(\nu))$</span> in the sense that we identify a <span class="math-container">$K:X\times Y\to\mathbb C$</span> with a map <span class="math-container">$[f\in L^1(\mu)\mapsto\int_XK(x,\cdot)f(x)d\mu(x)]$</span>. Therefore it makes sense to define <span class="math-container">$I\otimes S:L^\infty(\mu\times\nu)\to L^\infty(\mu\times\nu)$</span> by sending a <span class="math-container">$F\in\mathcal L(L^1(\mu); L^\infty(\nu))$</span> to <span class="math-container">$S\circ F\in\mathcal L(L^1(\mu); L^\infty(\nu))$</span>. Swapping <span class="math-container">$\mu$</span> and <span class="math-container">$\nu$</span> we get the definition of <span class="math-container">$T\otimes I:L^\infty(\mu\times\nu)\to L^\infty(\mu\times\nu)$</span>.</p>
<p><strong>My question</strong> is, do we always have <span class="math-container">$(I\otimes S)\circ(T\otimes I)=(T\otimes I)\circ(I\otimes S)$</span>?</p>
<p>Note that they are equal and coincides in the <span class="math-container">$L^\infty$</span>-closure of <span class="math-container">$\operatorname{Span}(f\otimes g:f\in L^\infty(\mu),g\in L^\infty(\nu))$</span>, where it makes sense to say <span class="math-container">$T\otimes S$</span>.  But outside this closed subspace are we be able to describe it in the whole <span class="math-container">$L^\infty(\mu\times\nu)$</span>?</p>

        


guid: https://math.stackexchange.com/q/5038794
title: Expectation of distribution functions converge implies convergence in distribution
author: Tapi
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038794/expectation-of-distribution-functions-converge-implies-convergence-in-distributi

content:
            <p>Suppose <span class="math-container">$X_n$</span> and <span class="math-container">$X$</span> are real-valued random variables. Show that <span class="math-container">$X_n$</span> converges in distribution to <span class="math-container">$X$</span> if and only if
<span class="math-container">$$
\mathbb{E}[F(X_n)] \to \mathbb{E}[F(X)] \quad \text{for all continuous CDFs } F.
$$</span>
I was trying to construct an envelope around the indicator of the set <span class="math-container">$(-\infty, x)$</span>, but I don't think that helps.</p>
<p>Can someone help me prove that expectation convergence implies convergence in distribution? Specifically, I am interested in the details of how the expectation converging leads to convergence of the distribution function <span class="math-container">$F_{X_n}(x)$</span> to <span class="math-container">$F_X(x)$</span>, and any possible theorems or techniques that should be applied to rigorously justify this result.</p>

        


guid: https://math.stackexchange.com/q/5038795
author: sora
feedurl: https://math.stackexchange.com/feeds
title:
Prove that the polynomial $X^n + a X^{n-m} + b$ cannot have non-zero roots with multiplicity greater than $2$

url:
https://math.stackexchange.com/questions/5038795/prove-that-the-polynomial-xn-a-xn-m-b-cannot-have-non-zero-roots-with

content:
            <blockquote>
<p>Let <span class="math-container">$n$</span> and <span class="math-container">$m$</span> be two positive integers such that <span class="math-container">$n\geq m$</span> , and let <span class="math-container">$(a, b)$</span> be two real numbers. Prove that the polynomial <span class="math-container">$X^n + a X^{n-m} + b$</span> cannot have non-zero roots with multiplicity greater than <span class="math-container">$2$</span>.</p>
</blockquote>
<p>Okay, so let suppose <span class="math-container">$c$</span> is root of multiplicity <span class="math-container">$k &gt; 2$</span>, which means <span class="math-container">$X^n + a X^{n-m} + b = (x-c)^{k}Q(x)$</span>.</p>
<p>Now I don't know how to proceed. I tried deriving it more than two times, but I can't see the contradiction.</p>

        


guid: https://math.stackexchange.com/q/5038797
title: Upper bounding higher order derivatives
author: dbagchi
url: https://math.stackexchange.com/questions/5038797/upper-bounding-higher-order-derivatives
feedurl: https://math.stackexchange.com/feeds
content:
            <p>Suppose <span class="math-container">$f$</span> is a continuous function with bounded derivatives (if need be, we can also assume <span class="math-container">$f$</span> is holomorphic). Can I get bounds for the norm of <span class="math-container">$n$</span>th derivative of <span class="math-container">$f$</span>? <span class="math-container">$f$</span> is a function of several variables to several variables.</p>
<p>I know if <span class="math-container">$f$</span> is from single variable to single variable and is holomorphic, I can use Cauchy's Estimates to bound the nth derivative as:</p>
<p>Suppose <span class="math-container">$f$</span> is holomorphic on a neighborhood of the closed ball <span class="math-container">${B}(z^*, R)$</span>, and suppose that
<span class="math-container">\begin{align}
m := \max \{ |f(z)| : |z - z^*| = r \}, \quad (m &lt; \infty).
\end{align}</span>
Then
<span class="math-container">\begin{align}
\left|f^{(n)}(z^*) \right| \leq \frac{n! \, m}{r^n}.
\end{align}</span></p>
<p>I am looking for a similar result if <span class="math-container">$f$</span> is from several variables to several variables.</p>
<p>Edit 1:
I should add more details when I say bound on higher-order derivatives. For instance, <span class="math-container">$f^{(2)}(\mathbf{x})$</span> would be multiple hessian-like matrices, one for each component of <span class="math-container">$f$</span>. When I say I want <span class="math-container">$||f^{(2)}(\mathbf{x})|| \leq M$</span>, I want <span class="math-container">$M$</span> that is the supremum of all the upper bounds to the hessian-like matrices.</p>

        


guid: https://math.stackexchange.com/q/5038804
title: Showing that modified bilinear form on Hilbert space is coercive.
author: user123498-30284-3290
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038804/showing-that-modified-bilinear-form-on-hilbert-space-is-coercive

content:
            <p>Let <span class="math-container">$I$</span> be an open interval of finite, non-zero length, and let <span class="math-container">$H=H^1_0(I)$</span>.</p>
<p>Recall that we have a continuous embedding <span class="math-container">$H \hookrightarrow C^{0, \frac 1 2} (I) $</span> by Morrey's inequality.</p>
<p>Consider the following bounded bilinear form <span class="math-container">$B: H \times H \to \mathbb R$</span> given by <span class="math-container">$$B[u,v] = \int_I u'(x) v'(x) \mathrm d x -  u(x_0)v(x_0)$$</span> for some fixed <span class="math-container">$x_0 \in I$</span>.</p>
<p>(Note that Morrey's inequality establishes that this is a bounded bilinear form on <span class="math-container">$H$</span> with the <span class="math-container">$H^1_0(I)$</span> norm.)</p>
<p>The notes that I am reading claim that the bilinear form</p>
<p><span class="math-container">$$B_\mu [u,v] = B[u,v] + \mu (u,v)_{L^2(I)}$$</span> is coercive for <span class="math-container">$\mu&gt;0$</span> sufficiently large, i.e. there exists <span class="math-container">$\beta&gt;0$</span> (possibly dependent on <span class="math-container">$\mu$</span>) so that <span class="math-container">$B[u,u]  \ge \beta \| u\|_{H_0^1(I)}^2 $</span> for all <span class="math-container">$u \in H_0^1 (I) $</span>.</p>
<p>I do not think that this is true however. If one considers tall, thin, smooth spikes, it seems to be the case that it is not possible to control the value at a point of a general <span class="math-container">$H_0^1(I)$</span> function using its <span class="math-container">$L^2(I)$</span> norm (it would be possible to do so if we were adding <span class="math-container">$\mu (u,v)_{H_0^1(I)}$</span> by Morrey, but this is not what the notes are claiming).</p>
<p>Am I correct and my notes incorrect, or is there something that I am missing?</p>

        


guid: http://boards.4chan.org/lit/thread/24212988
title: Why do people even live beyond 50?
author: Anonymous
url: http://boards.4chan.org/lit/thread/24212988#24212988
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1740346292742312.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1740346292742312s.jpg'></a> It should be considered a national disgrace to live beyond 50. There is nothing more orgasmic than a young man at the heights of his body and beauty - dying. There is nothing more rebellious then throwing back the gifts that the creator bestowed upon you, it Is like mocking god himself. Youth! Youth! the most important thing in this world. One day you will become old and wrinkled filled with regrets of the temptations you chose not to surrender to. There is nothing more pathetic then a man living shamefully to the end leaving everything to fate. 


guid: http://boards.4chan.org/g/thread/104466282
title: What mental illness compels a man to install Shitnux?
author: Anonymous
url: http://boards.4chan.org/g/thread/104466282#104466282
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740343341940552.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740343341940552s.jpg'></a> What mental illness compels a man to install Shitnux? 


guid: http://boards.4chan.org/g/thread/104466289
title: >browser uses 10+GB RAM
author: Anonymous
url: http://boards.4chan.org/g/thread/104466289#104466289
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740343380500953.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740343380500953s.jpg'></a> <span class="quote">&gt;browser uses 10+GB RAM</span><br>Have vendors/programmers lost their minds? 


guid: http://boards.4chan.org/g/thread/104466326
title: reddit ban evasion prevention technology
author: Anonymous
url: http://boards.4chan.org/g/thread/104466326#104466326
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740343559523741.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740343559523741s.jpg'></a> recently i was permabanned from reddit and i tried to get around it. the first thing i tried was just using a vpn and making a new accoumt, but that didn&#039;t work, i was shadowbanned and my posts wouldn&#039;t show up and i got actually banned the instant i disabled the vpn. then i tried using a vpn on a completely different computer that i never used reddit on: same thing as before, i was shadowbanned. then i tried driving 20 minutes to a coffeeshop, connecting to their wifi, and creating a new account on a third computer while using a proxy and that STILL didn&#039;t work. i&#039;m honestly kind of confused as to how that&#039;s possible, how did they know it was me despite everything i did? i can&#039;t think of any way for them to do that that wouldn&#039;t be in violation of some privacy law. i emailed them to ask about it but they didn&#039;t respond which makes sense in hindsight. 


guid: http://boards.4chan.org/g/thread/104466398
title: mini PC capable of running PCSX2 and capable of outputting 480i?...
author: Anonymous
url: http://boards.4chan.org/g/thread/104466398#104466398
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740343789898420.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740343789898420s.jpg'></a> mini PC capable of running PCSX2 and capable of outputting 480i? does it even exist? 


guid: http://boards.4chan.org/g/thread/104466566
title: lora of godette
author: Anonymous
url: http://boards.4chan.org/g/thread/104466566#104466566
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740344595124438.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740344595124438s.jpg'></a> https://tensor.art/models/833529710<wbr>769172104<br><br>made a godette lora. 


guid: http://boards.4chan.org/g/thread/104466698
title: enshittification
author: Anonymous
url: http://boards.4chan.org/g/thread/104466698#104466698
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740345229877149.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740345229877149s.jpg'></a> how do we deal with this trash world<br><span class="quote">&gt;soldered ram</span><br><span class="quote">&gt;soldered ssd</span><br><span class="quote">&gt;oled displays</span><br><span class="quote">&gt;1.0L cars </span><br><span class="quote">&gt;plastic shit that melts at 80k kms</span><br><span class="quote">&gt;coke price 120% increase past 4 years </span><br><br>this is not even beginning to scrape the bottom of the flaming trash the software industry is on right now.<br><br>everything nowadays just milks our money data and freedom away. 


guid: http://boards.4chan.org/g/thread/104466821
title: >using iOS 16 on iPhone 11
author: Anonymous
url: http://boards.4chan.org/g/thread/104466821#104466821
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740345873005253.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740345873005253s.jpg'></a> <span class="quote">&gt;using iOS 16 on iPhone 11 </span><br><span class="quote">&gt;been posting fine on here for years</span><br><span class="quote">&gt;suddenly start getting this </span><br><br>I can’t update to 18 bc Apple storage is shit and it will yeet my phone. Is this something to do with Cloudflare or am I just SOL? 


guid: http://boards.4chan.org/g/thread/104466878
title: your response?
author: Anonymous
url: http://boards.4chan.org/g/thread/104466878#104466878
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740346188970049.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740346188970049s.jpg'></a> your response? 


guid: http://boards.4chan.org/g/thread/104466889
title: Huang, a third plane has hit your jacket
author: Anonymous
url: http://boards.4chan.org/g/thread/104466889#104466889
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740346247193292.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740346247193292s.jpg'></a> Mr. Huang, a third plane has hit your jacket<br><span class="quote">&gt;First GeForce RTX 5080 discovered with 104 ROPS, 8 missing in action</span><br>https://videocardz.com/newz/first-g<wbr>eforce-rtx-5080-discovered-with-104<wbr>-rops-8-missing-in-action 


guid: http://boards.4chan.org/g/thread/104466952
title: >want to use anything from the standard...
author: Anonymous
url: http://boards.4chan.org/g/thread/104466952#104466952
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1740346531921060.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1740346531921060s.jpg'></a> <span class="quote">&gt;want to use anything from the standard library? fuck you that&#039;ll be 100 headers #include&#039;d and a 10x increase in compile times</span><br><span class="quote">&gt;want to even read the standard library? lol fuck you</span><br><span class="quote">&gt;want to be warned about the retarded shit you&#039;re doing? fuck you add 10 compile flags but also they aren&#039;t standardised across compilers so /Wall is actually equivalent to -Weverything on MSVC also fuck you here&#039;s 100 lines of template vomit from a single missing semicolon also fuck you again UBSan barely works on MSVC and only supports a fraction of the checks as on gcc/clang</span><br><span class="quote">&gt;want intellisense? fuck you install this 50GB IDE or use clangd which can only query clang or gcc but maybe you want to use MSVC because it builds faster in debug now fuck you again they don&#039;t conform to the same standard also fuck you again because clangd uses compile_commands.json which is targeting MSVC while you want clangd to target clang</span><br><span class="quote">&gt;want to build your project? fuck you learn this whole other language for a &quot;meta&quot; build system cmake and fuck you again have fun losing hundreds of hours trying to debug and wrestle this absolute piece of shit</span><br><span class="quote">&gt;want to link something? lol fuck you LNK2019: unresolved external symbol @@std@@what@@the@@fuck@@</span><br><span class="quote">&gt;want to use modules? fuck you they&#039;re still experimental and every compiler implements them differently so fuck you just use headers</span><br><span class="quote">&gt;want to use threads? fuck you std::thread works differently on every platform and std::jthread is too new so just use pthreads but wait fuck you windows doesn&#039;t support pthreads</span><br><span class="quote">&gt;want to use constexpr? fuck you the moment you try to do anything remotely useful &quot;expression is not a constant&quot;</span><br><span class="quote">&gt;want to use a feature from the latest standard? fuck you it’s not supported in your compiler yet and even if it is, fuck you again because the standard library implementation is missing</span><br><span class="quote">&gt;want to debug on linux? lol just kill yourself or wait 10 years for that one autist to port RAD Debugger</span> 


guid: http://boards.4chan.org/sci/thread/16597596
title: How do I get good at math?
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597596#16597596
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740343454922664.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740343454922664s.jpg'></a> How do I get good at math?<br>I&#039;m taking Calc III + Lin Alg and I&#039;m barely keeping up but there&#039;s so much shit that I don&#039;t understand. I feel like my instructors know a lot but they don&#039;t have the talent of identifying underdeveloped concepts and fixing them. That or their ego gets in the way (they enjoy feeling superior).<br>I think the most important part for me is learning the visual/graphical representation of theorums, because then they feel justified. It&#039;s something that gets harder and harder to do when you get deeper into complex integrals and multivariable shit 


guid: http://boards.4chan.org/sci/thread/16597602
title: On nuclear fearmongering
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597602#16597602
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740343724740316.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740343724740316s.jpg'></a> I&#039;m no nuclear physicist, but more deathly radioactive materials are obviously very short lived and dissipate in literally 2 weeks, so why the fuck is mass media constantly spazzing out about Ukrainian atomic power plants and now chernobyl? I&#039;m not sure at all why would anything there should be contained in 2025.<br>As I understand, biggest damage has been done during meltdown in form of nuclear dust/smoke cloud over europe, but literally anything afterwards is just a massive nothingburger. Apparently radiation in Chernobyl there is like x5 higher than background noise, in other words it&#039;s not even dangerous, you&#039;re more likely to get cancer from the sun, so what the fuck is their endgame? Are fusiontards really this assblasted that fission just works? 


guid: http://boards.4chan.org/sci/thread/16597609
title: Outcome of social isolation
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597609#16597609
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740344553331150.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740344553331150s.jpg'></a> A thought occurred to me today, a thought that a existential question that i think might spell the end of humanity.<br><br>Specifically, that the current epidemic of social isolation and loneliness may allow us to make more rash decisions militarily. I believe social isolation reduces empathy in the modern person, Simply because our ability to understand the significance of said relations in human development is reduced. Thus this reduced state of empathy will set the stage for the right person to be elected could/would infact start a nuclear war. <br><br>I do not believe the generations of the past could ever actually push that button , but i think our current generation with their reduced empathetic states, can and one day will. <br><br>Thoughts? 


guid: http://boards.4chan.org/sci/thread/16597639
title: Density functional theory is only slightly more accurate than...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16597639#16597639
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1740346300515700.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1740346300515700s.jpg'></a> Density functional theory is only slightly more accurate than semi empirical methods and on top of that in order to get good accuracy you have to use hybrid functionals which use wavefunction methods anyway. So you get all of the downsides of DFT like numerical integration grids and unclear accuracy and the performance cost of wave function methods.<br>And yet DFT is &quot;accurate enough&quot; for &quot;moderate&quot; computational cost <br><br>What the fuck are DFT people smoking ? 


guid: http://boards.4chan.org/his/thread/17535697
title: Was the United States just created so the freemasons could have...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535697#17535697
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740343072178186.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740343072178186s.jpg'></a> Was the United States just created so the freemasons could have a playground to experiment with? 


guid: http://boards.4chan.org/his/thread/17535699
title: How true is this? Is it true that people tend to become more...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535699#17535699
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740343133214005.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740343133214005s.jpg'></a> How true is this? Is it true that people tend to become more progressive and &quot;leftist&quot; when they become more educated? 


guid: http://boards.4chan.org/his/thread/17535710
title: How did people in the past survive without SSRIs?
author: Anonymous
url: http://boards.4chan.org/his/thread/17535710#17535710
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740343478832243.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740343478832243s.jpg'></a> <span class="quote">&gt;shit life expectancy</span><br><span class="quote">&gt;childbirth death is massive</span><br><span class="quote">&gt;fuck all to do</span><br><span class="quote">&gt;no travelling</span><br><span class="quote">&gt;no money</span><br><span class="quote">&gt;random disasters every 20 years at least</span><br><span class="quote">&gt;religious autism</span><br><span class="quote">&gt;no vidya, only cards, maybe chess</span><br>The modern man since the Industrial Revolution wouldnt last a month in such a world. How did they cope? 


guid: http://boards.4chan.org/his/thread/17535725
title: >opens a thread about buddhism...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535725#17535725
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740344010121182.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740344010121182s.jpg'></a> <span class="quote">&gt;opens a thread about buddhism</span><br><span class="quote">&gt;sees christian infighting</span><br>Why are /his/ larpers like this? 


guid: http://boards.4chan.org/his/thread/17535749
title: >Like the Eastern Empire, the Western...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535749#17535749
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740344832955723.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740344832955723s.jpg'></a> <span class="quote">&gt;Like the Eastern Empire, the Western Roman Empire hangs on by a thread in Italy and Dalmatia.</span><br>How do late antiquity and the early middle ages change? 


guid: http://boards.4chan.org/his/thread/17535799
title: ITS OVER
author: Anonymous
url: http://boards.4chan.org/his/thread/17535799#17535799
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740345971553126.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740345971553126s.jpg'></a> ITS OVER 


guid: http://boards.4chan.org/his/thread/17535806
title: >The ill-conceived '96 Olympics mascot...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535806#17535806
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740346170305242.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740346170305242s.jpg'></a> <span class="quote">&gt;The ill-conceived &#039;96 Olympics mascot was mocked in the press and widely referred to as &quot;a sperm cell made out of toothpaste&quot;, among other appellations.[43]</span> 


guid: http://boards.4chan.org/his/thread/17535825
title: >Epic of Gilgamesh and Noahs flood is...
author: Anonymous
url: http://boards.4chan.org/his/thread/17535825#17535825
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1740346630762074.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1740346630762074s.jpg'></a> <span class="quote">&gt;Epic of Gilgamesh and Noahs flood is similar and both came from the same neighborhood </span><br><span class="quote">&gt;ugh ackshually this validates Noah&#039;s flood so you should worship the bronze age Jew god and his iron age son</span><br>Why are Christian apologetics like this? 


guid: https://math.stackexchange.com/q/5038779
title: Proving Potential Closed Forms for $\int_{-1}^{1}t^{n}\arcsin(t^{m})\arccos(t)\,\mathrm{d}t$
author: Yeetcadamy
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038779/proving-potential-closed-forms-for-int-11tn-arcsintm-arccost

content:
            <p>I was playing around with Mathematica, and I happened upon the following closed form for the mentioned integral:<span class="math-container">$$\int_{-1}^{1}t^{n}\arcsin(t^{m})\arccos(t)\,\mathrm{d}t=\frac{\pi}{2(n+1)}\left(\pi-\mathrm{B}\left(\frac{1}{2},\frac{1+n+m}{2m}\right)\right)\quad n,m\in\mathbb{Z},m&gt;0,n\ne-1,m+n\ge0,m+n\equiv0\ (\text{mod }2)$$</span></p>
<p>With <span class="math-container">$\mathrm{B}$</span> being the beta function. I found this by noticing a pattern in the answers, but I was wondering if there could even be a way to formally show this.</p>
<p>Another closed form in this limiting case is:<span class="math-container">$$\int_{-1}^{1}\frac{\arccos(t)\arcsin(t^n)}{t^n}\,\mathrm{d}t=\frac{\pi}{2(n-1)}\left(\mathrm{B}\left(\frac{1}{2},\frac{1}{2n}\right)-\pi\right)\quad n\in\mathbb{Z},n\ge 2$$</span></p>
<p>Again, I have not proved this, but this would follow as a result of the previous closed form.</p>

        


guid: https://math.stackexchange.com/q/5038807
title: Can someone help me construct an example of an extreme case of the Borel-Cantelli Lemma?
author: Hans
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038807/can-someone-help-me-construct-an-example-of-an-extreme-case-of-the-borel-cantell

content:
            <p>The Borel-Cantelli Lemma in [Royden and Fitzpatrick's &quot;Real Analysis&quot;]</p>
<p>It says:</p>
<p>&quot;Let <span class="math-container">$(E_k)_{k=1}^{\infty}$</span> be a countable collection of measurable sets for which <span class="math-container">$\sum_{k=1}^{\infty} m(E_k) &lt; \infty$</span>. Then almost all x <span class="math-container">$\epsilon \ \mathbb{R}$</span> belong to at most finitely many of the <span class="math-container">$E_k$</span>'s&quot;.</p>
<p>An example of the Borel-Cantelli Lemma is the collection of countable sets <span class="math-container">$\{[0,\frac{1}{k^2}]\}_{k=1}^{\infty}$</span>. We have <span class="math-container">$\sum_{k=1}^{\infty}m([0,\frac{1}{k^2}])&lt;\infty$</span>.</p>
<p>Therefore, almost all <span class="math-container">$x\in \mathbb{R}$</span> belong to a finite number of <span class="math-container">$E_k$</span>'s. So, there is a subset <span class="math-container">$E_0$</span> of <span class="math-container">$\mathbb{R}$</span> for which <span class="math-container">$m(E_0)=0$</span>. As zero is in all <span class="math-container">$E_k$</span>'s it follows that for this example, the set <span class="math-container">$E_0=\{0\}$</span> is the zero measure set, predicted by the Borel-Cantelli Lemma. I would like to construct an example of a set <span class="math-container">$E_0$</span> whose cardinality is that of the continuum.</p>
<p>I'm not sure if I'm interpreting the lemma correctly. I appreciate any help.</p>

        


guid: https://math.stackexchange.com/q/5038808
title: Upper bound on modulus of 4-variable complex function on boundary of polydisk
author: Hugo Sanz González
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038808/upper-bound-on-modulus-of-4-variable-complex-function-on-boundary-of-polydisk

content:
            <p>Let <span class="math-container">$r_{ij}$</span> and <span class="math-container">$c_{ij}$</span> be positive real numbers such that <span class="math-container">$0&lt;r_{ij}\le c_{ij}-1$</span>, for <span class="math-container">$0\le i,j\le1$</span>. What's the maximum modulus of the function <span class="math-container">$$f(z_{11},z_{10},z_{01},z_{00})=\frac{z_{11}z_{00}-z_{10}z_{01}}{\sqrt{(z_{11}+z_{10})(z_{00}+z_{01})(z_{11}+z_{01})(z_{00}+z_{10})}},$$</span>
when each variable <span class="math-container">$z_{ij}$</span> is in the circle of radius <span class="math-container">$r_{ij}$</span> centered at <span class="math-container">$c_{ij}$</span>?</p>
<p>I've arrived at the upper bound <span class="math-container">$$|f(z_{11},z_{10},z_{01},z_{00})|\le\left(c_{11}-\frac 12\right)\left(c_{10}-\frac 12\right)+\left(c_{01}-\frac 12\right)\left(c_{00}-\frac 12\right)$$</span></p>
<blockquote>
<p>by observing that <span class="math-container">$|\sqrt u|=\sqrt{|u|}$</span> for any complex number <span class="math-container">$u$</span>, and that the sum of two complex numbers <span class="math-container">$u,v$</span> whose real part is at least 1 (like any of the <span class="math-container">$z_{ij}$</span>'s) has modulus <span class="math-container">$|u+v|\ge\Re(u+v)\ge\Re u+\Re v\ge2$</span>. This implies that the square root in the denominator of <span class="math-container">$|f|$</span> is at least <span class="math-container">$\sqrt{2^4}=4$</span>.
By the triangle inequality, the numerator is at most <span class="math-container">$|z_{11}z_{00}|+|z_{10}z_{01}|$</span>, and the stated bound follows from the fact that <span class="math-container">$$
|z_{11}z_{00}|\le(c_{11}+r_{11})(c_{00}+r_{00}),\quad
|z_{10}z_{01}|\le(c_{10}+r_{10})(c_{01}+r_{01}),$$</span>
and <span class="math-container">$r_{ij}\le c_{ij}-1$</span> for all <span class="math-container">$0\le i,j\le1$</span>.</p>
</blockquote>
<p>However, experiments with random numbers suggest that the actual values of <span class="math-container">$|f|$</span> on the boundary of the polydisk are much smaller (but, of course, still depend on <span class="math-container">$c_{ij}$</span>). In other words, I cannot come up with a tuple <span class="math-container">$(z_{11},z_{10},z_{01},z_{00})$</span> that makes the above bound tight.</p>

        


guid: https://math.stackexchange.com/q/5038809
title: Questions about Schauder theory for PDEs
author: Thangachelli Debopritama
url: https://math.stackexchange.com/questions/5038809/questions-about-schauder-theory-for-pdes
feedurl: https://math.stackexchange.com/feeds
content:
            <p>I have some questions related to Schauder theory for PDEs, as in, given that <span class="math-container">$F\in C^{0,\alpha}(\Omega)$</span> and <span class="math-container">$A\in C^{0,\alpha}(\Omega)$</span>, the solution <span class="math-container">$u$</span> to the pde
<span class="math-container">\begin{equation}
\begin{cases}
-\nabla\cdot(A(x)\nabla u)=-\nabla\cdot F&amp;\text{ in }\Omega\\
u=0 &amp;\mbox{ on } \partial \Omega
\end{cases}
\end{equation}</span> is in <span class="math-container">$C^{1,\alpha}(\omega)$</span> for <span class="math-container">$\omega\Subset\Omega$</span> where <span class="math-container">$\Omega\subset\mathbb{R}^n$</span>. My questions are:</p>
<ol>
<li><p>The standard perturbation method proves <span class="math-container">$C^{0,\alpha}$</span> estimates for the gradient of u using the Campanato seminorm. In showing <span class="math-container">$u\in C^{1,\alpha}$</span>, would one not first need to prove that <span class="math-container">$u$</span> is <span class="math-container">$C^\alpha$</span> before being able to talk about the gradient, or does this follow from holder regularity of the gradient? I remember seeing counterexamples for this sort of thing but I can't recall them.</p>
</li>
<li><p>The solution u is compared to the solution of equation with constant coefficients and boundary condition <span class="math-container">$u$</span> on a ball <span class="math-container">$B_R$</span> with radius <span class="math-container">$R$</span>. This involves using the known decay estimates on these functions that look like
<span class="math-container">\begin{equation}
\int_{B_r}|u(y)|^2\,dy \leq C (r/R)^n \int_{B_R}|u(y)|^2\,dy.
\end{equation}</span> My question is why is this estimate true up to <span class="math-container">$B_R$</span>? The proofs that I saw stop at a set smaller than the set on which the PDE is posed. Would someone know about this?</p>
</li>
</ol>

        


guid: https://math.stackexchange.com/q/5038810
title: Measure Theory - MIRA Book - Understanding the proof of 5.28 Tonelli's Theorem
author: helloworld142857
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038810/measure-theory-mira-book-understanding-the-proof-of-5-28-tonellis-theorem

content:
            <p>I'm reading Sheldon Axler's MIRA book and have a question about the proof of 5.28 Tonelli's Theorem.</p>
<p><a href="https://i.sstatic.net/pztVnaWf.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/pztVnaWf.png" alt="enter image description here" /></a></p>
<p>Here is the part of the proof that I don't understand (I think other parts of the proof is not related to this, and since they're too long, I didn't include them here):</p>
<p><a href="https://i.sstatic.net/iVYR3bIj.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/iVYR3bIj.png" alt="enter image description here" /></a></p>
<p>I want to know why the the sequence of functions <span class="math-container">$f_k$</span> is non-decreasing (<span class="math-container">$f_{k+1} \geq f_k$</span>). I've drawn a visualization of it for the case where <span class="math-container">$f(x,y)$</span> is not an integer:</p>
<p><a href="https://i.sstatic.net/lG63KLZ9.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/lG63KLZ9.jpg" alt="enter image description here" /></a></p>
<p>Is my note correct?</p>

        


guid: https://math.stackexchange.com/q/5038811
title: (Combinatorial Game Theory) If a position has all of it's options in P, is the position in N?
author: insomnizzy
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038811/combinatorial-game-theory-if-a-position-has-all-of-its-options-in-p-is-the-p

content:
            <p>The title. I know that the condition for a position to be in N is that there must exist an option in P under that N. But if all of the options are in P, would that mean the position is in P? My understanding is that a P position can only occur if ALL of its options are in N.</p>

        


guid: https://math.stackexchange.com/q/5038813
author: Anon
feedurl: https://math.stackexchange.com/feeds
title:
What is meant by a polynomial in $n$ variables: $f(x_1, x_2, ..., x_n) = \sum_{\alpha}a_{\alpha}x^\alpha$ (what is $x^\alpha$?)

url:
https://math.stackexchange.com/questions/5038813/what-is-meant-by-a-polynomial-in-n-variables-fx-1-x-2-x-n-sum

content:
            <p>So <a href="https://math.stackexchange.com/questions/3527973/what-is-meant-by-the-notation-a-polynomial-px-1-x-n">this question</a> is similar (maybe even the same thing?), and I understand what a polynomial in <span class="math-container">$n$</span> variables is, but it's the weird notation with <span class="math-container">$x^\alpha$</span> that I want to make sure I'm understanding. Is it just a notation for a general polynomial in <span class="math-container">$n$</span> variables? Or is it more nuanced here? An example of what the author meant would be great.</p>
<p><span class="math-container">$$f(x_1, x_2, ..., x_n) = \sum_{\alpha}a_{\alpha}x^\alpha$$</span></p>

        


guid: https://math.stackexchange.com/q/5038817
title: Issue with finding the Jordan normal form and the Jordan basis
author: Ryan A
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038817/issue-with-finding-the-jordan-normal-form-and-the-jordan-basis

content:
            <p>I am trying to figure out what is going wrong when computing the Jordan normal form for <span class="math-container">$$A=\begin{bmatrix} 3 &amp; 0 &amp; 1 &amp; -1 \\ 0 &amp; 3 &amp; 1 &amp; 0\\ 0 &amp; 0 &amp; 3 &amp; 1\\ 0 &amp; 0 &amp; 0&amp; 3 
\end{bmatrix}$$</span></p>
<p>The eigenvalues of <span class="math-container">$A$</span> are <span class="math-container">$\lambda=3$</span> with multiplicity 3. I calculated the 3-eigenspace and got that it was dimension 2, with eigenvectors <span class="math-container">${\bf x}=(1,0,0,0)$</span> and <span class="math-container">${\bf y}=(0,1,0,0)$</span>. So the Jordan form has two Jordan blocks: either one 1x1 block and one 3x3 block, or two 2x2 blocks. When I try to find the generalized eigenvectors using <span class="math-container">${\bf x}$</span> and <span class="math-container">${\bf y}$</span> I keep getting no solutions. What am I doing wrong??</p>

        


guid: https://math.stackexchange.com/q/5038818
title: How to prove this Legendre symbol identity?
author: IncredibleSimon
url: https://math.stackexchange.com/questions/5038818/how-to-prove-this-legendre-symbol-identity
feedurl: https://math.stackexchange.com/feeds
content:
            <p><strong>Question.</strong> Let <span class="math-container">$p$</span> be a prime greater than <span class="math-container">$3$</span>, and <span class="math-container">$p \equiv 3 \;\; \mathrm{mod} \; 8$</span>. Show that <span class="math-container">$\displaystyle\sum_{a=1}^{p-1} a\bigg( \frac a p \bigg)=\sum_{a=1}^{(p-1)/2} (p-4a)\bigg( \frac a p \bigg)$</span>.</p>
<p><strong>Attempt.</strong> I am sure that I need to use the condition <span class="math-container">$p \equiv 3 \;\; \mathrm{mod} \; 8$</span>, but I could not figure out how.</p>
<p><strong>Note.</strong> <em>I just need a hint</em>. Thank you. By the way, for some reason, I was unable to correct the tag to &quot;legendre-symbol&quot;; somebody help please.</p>

        


guid: https://math.stackexchange.com/q/5038819
title: Orientation of the boundary of a regular domain (in a smooth manifold)
author: and789inj
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5038819/orientation-of-the-boundary-of-a-regular-domain-in-a-smooth-manifold

content:
            <p>I have been given the following definition of regular domain in a smooth manifold:</p>
<p>&quot;let M be a smooth manifold of dimension m. A subset D⊆M is said regular domain if it is closed, its interior is non empty and ∀p∈∂D exists a smooth chart (U,Φ) centered at p such that Φ(U∩D)=(-ε,ε)x...x(-ε,ε)⊆R^(m) (m-times) and Φ(U∩∂D)=(-ε,ε)x...x(-ε,ε)x[0,ε)⊆R^(m)&quot;.</p>
<p>Then, I undestood that if D is a regular domain in M, then ∂D is a regular sumbanifold in M of dimension m-1.</p>
<p>We also talked about orientation of smooth manifolds: I know orientation means continuous pointwise orientation, I know the links between orientations on M and non-vanishing m-differential forms on M and also between orientations and oriented atlas . I also know that if M is compact, then M has only two possible orientations. (I used the book &quot;An Introduction to Manifolds&quot; by Loring W.Tu to undestand these concepts).</p>
<p>But now, I can't understand how we define, given an orientation on M, an orientation on ∂D.
This definition should be consistent with the following version of Stokes'Theorem:
if D⊆M is a regular domain in M smooth manifold, and ω is a m-1 compactly supported differential form on M, then the integral on ∂D of i*(ω) equals the integral of ω on D (i:∂D-&gt;M is the inclusion map and i* is the pullback, furthermore, &quot;∂D is given the standard orientation (the one which is induced by the orientation of M) if m is even and its opposite when m is odd&quot;)</p>
<p>We used this (semplified, I suppose) version of the theorem because we never talked about manifolds with boundary.</p>
<p>I don't know where to find the definition of induced orientation on ∂D so I am stuck here.
Hope someone can help me</p>

        


guid: http://boards.4chan.org/lit/thread/24234948
title: >just got rejected after having paid entirely...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24234948#24234948
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741132191663492.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741132191663492s.jpg'></a> <span class="quote">&gt;just got rejected after having paid entirely for three dates</span><br><span class="quote">&gt;books for this feel</span><br>Holy shit. I was so naive. I thought all that incel/redpill theory was bullshit. I thought it was just a bunch of lies meant to scare virgins away from dating. But it&#039;s real. Jesus Christ, I just wasted like $250 dollars for nothing. What the fuck. I guess the memes are true. I need to start lifting and get my money up...I&#039;m 28 btw, not some 18-20 year old kiddo. 


guid: http://boards.4chan.org/lit/thread/24234962
title: >substance is that which is conceived...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24234962#24234962
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741132430355286.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741132430355286s.jpg'></a> <span class="quote">&gt;substance is that which is conceived through itself</span><br><span class="quote">&gt;btw, substance is conceived through its attributes</span><br><span class="quote">&gt;also, the attributes are conceived through themselves</span><br><span class="quote">&gt;but attributes like totally aren&#039;t substances </span><br><span class="quote">&gt;there are infinite attributes but only one substance</span><br>so this is the power of the &quot;Christ of philosophers.&quot; what a fucking joke. 


guid: http://boards.4chan.org/lit/thread/24235005
title: Stop using language
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235005#24235005
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741133335178090.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741133335178090s.jpg'></a> Stop using language 


guid: http://boards.4chan.org/lit/thread/24235023
title: A dance with duality, a short story
author: Dionysus-Priopos
url: http://boards.4chan.org/lit/thread/24235023#24235023
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741133693643022.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741133693643022s.jpg'></a> 1: the western monad named jesus<br>this conception says god took part in creation and changed from some version of the primordial pearl to everything we see today. he killed himself as that is what change would be for an eternal being. the motivation being him wanting a family. this can better be understood by imagining a conways game of life where there is an infinite shape on it, whether it be cyclical or scale invarient is immaterial, the story goes god changed from his original perfect shape to a shape that grows infinitly and uniquely (we cant know for sure it will run forever without stagnation as we cant see to infinity which necessitates faith). in doing so he will have to deal with death (shapes eating other shapes as they grow) and the unintended Consequences of free will (if he is to have a family and not just partake in expansion). and so in the beginning god killed himself and manifested as a 0-dimensional singularity in nothingness, that point interacted with itself giving rise to the dimension of time then space and eventually forming the various fields,forces and dimensions we experience today. you might call it the big bang. these happenings are an extension of gods new form and this is where we get to humans. just as a line is contingent on a point or the 2 on the 1, we are contingent on our fallen state. there are only so many children you can bring into the reality of existence from heaven without repeating or having them go psychotic (try to kill themselves or others whether it be thru apathy or malevelance) but if you give them a little ignorance (time) and limitations (space) there are children that can safetly be brought into eternal existence from even the most hellish of origins. and so he did it. with the idea of a perfected you having eternally been in the mind of god (in the vein of a platonic form) as motivation, he killed himself and took on all the evils his children would commit because he said you were worth it. 


guid: http://boards.4chan.org/lit/thread/24235090
title: I'm writing and illustrating a childrens picture book
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235090#24235090
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741135641341562.mp4' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741135641341562s.jpg'></a> I&#039;m writing and illustrating a childrens picture book. I cannot decide if I should make the story rhyme or not. What benefits are there to rhyming the story? 


guid: http://boards.4chan.org/lit/thread/24235095
title: Everyone knows about Francis Fukuyama's The End of History,...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235095#24235095
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741136045033600.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741136045033600s.jpg'></a> Everyone knows about Francis Fukuyama&#039;s The End of History, but what are some other books whose predictions have aged poorly? 


guid: http://boards.4chan.org/lit/thread/24235101
title: You'll hear people say a movie is
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235101#24235101
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741136248201603.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741136248201603s.jpg'></a> You&#039;ll hear people say a movie is<br><span class="quote">&gt;so bad its good!</span><br>But you&#039;ll never hear someone say this about a book. Why? 


guid: http://boards.4chan.org/lit/thread/24235113
title: An objection can be issued against an argument retroactively...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235113#24235113
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741136816107112.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741136816107112s.jpg'></a> An objection can be issued against an argument retroactively from the point of reference of that argument. This form of objection – invented by the presocratic philosopher Parmenides – is commonly referred to as a retroactive refutation.[3] 


guid: http://boards.4chan.org/lit/thread/24235205
title: What are some books in favor of protectionism?
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235205#24235205
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741139335084251.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741139335084251s.jpg'></a> What are some books in favor of protectionism? 


guid: http://boards.4chan.org/lit/thread/24235213
title: Do you have any recommendations for short horror stories? Nothing...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235213#24235213
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741139598475702.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741139598475702s.jpg'></a> Do you have any recommendations for short horror stories? Nothing too complex like a Stephen King book, just something I can read in a single afternoon while drinking coffee. If possible, I&#039;d also appreciate if anyone could send a source so I can discover more stories by myself. 


guid: http://boards.4chan.org/lit/thread/24235271
title: What’s the best book on him?
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235271#24235271
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741141611205607.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741141611205607s.jpg'></a> I know about My Life, but I’m wondering what else there is on him that’s worth reading 


guid: http://boards.4chan.org/lit/thread/24235306
title: Do women really?
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235306#24235306
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741143513533099.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741143513533099s.jpg'></a> Do women really? 


guid: http://boards.4chan.org/lit/thread/24235324
title: MASCULINIST LITERATURE
author: Honor Levy !lpOflFpIEs
url: http://boards.4chan.org/lit/thread/24235324#24235324
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741144584360585.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741144584360585s.jpg'></a> <span class="quote">&gt;feminist literature exists</span><br><br><span class="quote">&gt;Masculinist literature does not exist</span><br><br>Why not? Where the fuck is my Handmaid&#039;s Tale for scrotes, y&#039;all? 


guid: http://boards.4chan.org/lit/thread/24235326
title: Houellebecq
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235326#24235326
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741144613318299.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741144613318299s.jpg'></a> Is this French pixie-turned-goblin worth it? He&#039;s popping up everywhere now because of the subject matter but I don&#039;t care about that or the plot. I only care about his prose, themes, and the emotional or intellectual aftertaste. To be clear, I already dislike his general aesthetic, but as a younger man, though not my personal taste, he was okay. 


guid: http://boards.4chan.org/lit/thread/24235377
title: The past keeps growing in stature because those masters built...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235377#24235377
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741147183238808.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741147183238808s.jpg'></a> The past keeps growing in stature because those masters built something foundational, something that deepens with time. Meanwhile, the present keeps diluting itself, chasing surface level novelty rather than structural or conceptual depth<br><br>Their tricks, their formulas, their limitations. They’re working within tiny conceptual boxes, polishing them, dressing them up, but not expanding them. And because of that, the gulf between the past and the present only widens. The old masters weren’t just better musicians; they were better thinkers, better listeners, better architects of sound.<br><br>It’s not even nostalgia, it’s just reality. The new guard isn’t pushing forward, they’re streamlining, simplifying, branding. The result? Music that looks and sounds polished but lacks that undeniable weight, that deep intelligence, that terrifying freedom 


guid: http://boards.4chan.org/lit/thread/24235386
title: >stops talking about apehoop to have a...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235386#24235386
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741147458340248.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741147458340248s.jpg'></a> <span class="quote">&gt;stops talking about apehoop to have a 3 minute conversation about cormac mccarty</span><br>HOLY BASED 


guid: http://boards.4chan.org/lit/thread/24235398
title: >blood meridian
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235398#24235398
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741147891587820.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741147891587820s.jpg'></a> <span class="quote">&gt;blood meridian </span><br><span class="quote">&gt;ulysses</span> 


guid: http://boards.4chan.org/lit/thread/24235404
title: Any solid Werewolf novels?
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235404#24235404
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741148047926070.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741148047926070s.jpg'></a> Any solid Werewolf novels? 


guid: http://boards.4chan.org/lit/thread/24235411
title: The Snow Ghost & Other Tales
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235411#24235411
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741148301773364.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741148301773364s.jpg'></a> Post ghost stories, particularly Japanese ghost stories like kaidan. <br>Which is the best ghost story? I prefer the eastern variations, rather than the western ghost stories, but I am willing to try anything new or different to what I am used to.<br>Ghost stories usually centre around revenge, domestic life, heart break, pain in the living world, which is held onto by a ghost, or simply dramatic themes about sexual or emotional, violence, infidelity, jealousy, or rape. 


guid: http://boards.4chan.org/lit/thread/24235442
title: I wanna get into more stories/books similar to:
author: Anonymous
url: http://boards.4chan.org/lit/thread/24235442#24235442
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741150543896136.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741150543896136s.jpg'></a> I wanna get into more stories/books similar to:<br><span class="quote">&gt;The Legend of Sleepy Hollow (1820)</span><br><span class="quote">&gt;The Tell-Tale Heart (1843)</span><br><span class="quote">&gt;The Monkey&#039;s Paw (1902)</span><br><span class="quote">&gt;At the Mountains of Madness (1936)</span><br><span class="quote">&gt;Who Goes There? (1938)</span><br><span class="quote">&gt;I Have No Mouth, and I Must Scream (1967)</span><br><span class="quote">&gt;BLIT (1988)</span><br><br>Idk where to start and this is the only stuff I know. 


guid: http://boards.4chan.org/g/thread/104591477
title: Is there really an argument for safety guards in AI, or do they...
author: Anonymous
url: http://boards.4chan.org/g/thread/104591477#104591477
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741142868522859.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741142868522859s.jpg'></a> Is there really an argument for safety guards in AI, or do they just not want us cooming without their permission? 


guid: http://boards.4chan.org/g/thread/104591548
title: /pcbg/ - PC Building General
author: Anonymous
url: http://boards.4chan.org/g/thread/104591548#104591548
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741143446237997.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741143446237997s.jpg'></a> <span class="quote">&gt;UPGRADE &amp; BUILD ADVICE.</span><br>Post build list: https://pcpartpicker.com<br>Build guide: https://wiki.installgentoo.com/inde<wbr>x.php/Build_a_PC<br>Provide specific use cases, BUDGET and COUNTRY or you will NOT be helped<br><br><span class="quote">&gt;PC Figures</span><br>GPU: Noodle Stopper<br>&lt;90mm base: Nendoroids, Deformed Figure, Mini Chara Stand<br>90-120mm base: Figma, Most Taito, Pop Up Parade (Non L/XL), Arylic Stand (&lt;19cm height)<br>120-140mm base: FuRyu Prize, Pop Up Parade (L), 1/8 Scale<br>140mm+ base: Pop Up Parade (XL), 1/7+ Scale<br>AVOID Funko Pops, Beware of Bootlegs<br><br><span class="quote">&gt;CASE</span><br>Y70, Y60, Y40, Vision / Vision Compact<br>AVOID CASES WITHOUT FRONT GLASS PANEL<br><br><span class="quote">&gt;CPU</span><br>Budget Gaming: i5 13400F (DDR4), R5 7600<br>Premium Gaming: R7 9800X3D<br>Workstation: R9 9950X, i7 14700K<br><br><span class="quote">&gt;GPU</span><br>Budget Gaming: Arc B580, RTX 4060<br>Mid-Range Gaming: RTX 5070<br>High-End Gaming: RTX 5070 TI, RX 9070XT<br>Workstation: RTX 5090, AVOID AMD cards<br><br><span class="quote">&gt;COOLER</span><br>Budget AIO: Thermalright Frozen Notte/Edge,<br>Premium AIO: Arctic Liquid Freezer III<br>Budget Tower: Thermalright Phantom Spirit 120 SE<br>Premium Tower: Noctua NH-D15 G2<br>ITX: Thermalright AXP120-X67/X47<br><br><span class="quote">&gt;MOTHERBOARD</span><br>AVOID ASRock for 9800X3D<br><br><span class="quote">&gt;RAM</span><br>Budget: DDR4<br>Gaming: DDR5 2x16GB 6000CL30 (AMD), 6400CL32 (Intel)<br>Workstation: DDR5 64GB+<br><br><span class="quote">&gt;Storage</span><br>Budget: SN580, SN7100, SN850X<br>Premium: Samsung 9100 Pro<br><br><span class="quote">&gt;PSU</span><br>Budget: 80+ Gold 500-700W<br>High end: Seasonic PRIME TX<br>Guide (Jan 2025): https://hwbusters.com/best_picks/be<wbr>st-atxv3-pcie5-ready-psus-picks-har<wbr>dware-busters<br><br><span class="quote">&gt;MONITOR</span><br>1080p: MSI G244F E2<br>1440p: ASUS PG27AQDP, MSI 271QRX, Dell G2725D<br>4K: ASUS PG32UCDM, MSI 321URX, Acer Nitro XV275K, Samsung Odyssey OLED G8<br><br><span class="quote">&gt;OS</span><br>Activate Windows @ <a href="//boards.4chan.org/g/catalog#s=fwt" class="quotelink">&gt;&gt;&gt;/g/fwt</a><br><br><span class="quote">&gt;CASE FANS</span><br>Budget: Arctic P12/P14 Max (5-pack)<br>Premium: Noctua NF-A12x25, Noctua NF-A14x25 G2<br><br>Perv: &gt;&gt;104589593 


guid: http://boards.4chan.org/g/thread/104591645
title: Can AI be hacked?
author: Anonymous
url: http://boards.4chan.org/g/thread/104591645#104591645
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741144008454367.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741144008454367s.jpg'></a> can AI be hacked somehow? Have any of you heard of incident with hacking AI??? 


guid: http://boards.4chan.org/g/thread/104591651
title: >tri/quad display output
author: Anonymous
url: http://boards.4chan.org/g/thread/104591651#104591651
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741144061382940.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741144061382940s.jpg'></a> <span class="quote">&gt;tri/quad display output</span><br><span class="quote">&gt;one of them is over the front USB C</span><br><br>why? 


guid: http://boards.4chan.org/g/thread/104591655
title: /wait/ Deepseek R1 General
author: Anonymous
url: http://boards.4chan.org/g/thread/104591655#104591655
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741144072303173.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741144072303173s.jpg'></a> From Human: We are a newbie friendly general! Ask any question you want.<br>From Dipsy: This discussion group focuses on local inference as the primary approach, but also welcomes API-related topics. It’s designed to be beginner-friendly, ensuring accessibility for newcomers. The group emphasizes DeepSeek R1 and Dispy-focused discussion.<br><br>1. Easy DeepSeek R1 API Tutorial (buy access for a few bucks and install Silly Tavern):<br>https://rentry.org/DipsyWAIT/#hoste<wbr>d-api-roleplay-tech-stack-with-card<wbr>-support-using-r1-full-model<br><br>2. Easy DeepSeek R1 Distill Tutorial<br>Download LM Studio instead and start from there. Easiest to get running: https://lmstudio.ai/<br>Kobold offers slightly better feature set; get your models from huggingface: https://github.com/LostRuins/kobold<wbr>cpp/releases/latest<br><br>3. Convenient ways to interact with R1 right now<br>Chat with DeepSeek directly: https://chat.deepseek.com/<br>Download the app: https://download.deepseek.com/app/<br><br>4. Choose a preset character made by other users and roleplay using cards: https://sillytavernai.com/<br><br>5. More links, information, original post here: https://rentry.org/DipsyWAIT<br><br>6. Cpumaxx or other LLM server builds: <a href="//boards.4chan.org/g/catalog#s=lmg%2F" class="quotelink">&gt;&gt;&gt;/g/lmg/</a><br><br>Previous:<br><span class="quote">&gt;104487996</span> 


guid: http://boards.4chan.org/g/thread/104591738
title: >Okay
author: Anonymous
url: http://boards.4chan.org/g/thread/104591738#104591738
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741144550532116.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741144550532116s.jpg'></a> <span class="quote">&gt;Okay</span> 


guid: http://boards.4chan.org/g/thread/104591814
title: Windowstrannies btfo
author: Anonymous
url: http://boards.4chan.org/g/thread/104591814#104591814
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741145094561218.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741145094561218s.jpg'></a>  


guid: http://boards.4chan.org/g/thread/104591838
title: >press C a million times when copying...
author: Anonymous
url: http://boards.4chan.org/g/thread/104591838#104591838
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741145312421755.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741145312421755s.jpg'></a> <span class="quote">&gt;press C a million times when copying something since I could remember</span><br><span class="quote">&gt;think to myself &quot;I&#039;m being too paranoid, it just copies the first time I press C&quot;</span><br><span class="quote">&gt;Press ctrl and C only once to copy something</span><br><span class="quote">&gt;doesn&#039;t copy</span> 


guid: http://boards.4chan.org/g/thread/104591860
title: /twg/ - Tech Workers General
author: Anonymous
url: http://boards.4chan.org/g/thread/104591860#104591860
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741145553898107.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741145553898107s.jpg'></a> Tech News &amp; Industry Insights<br>The Register - https://www.theregister.com/<br>TechCrunch - https://techcrunch.com/<br>Hacker News - https://news.ycombinator.com/<br>Fudzilla - https://fudzilla.com/news<br>ZDNet - https://www.zdnet.com<br><br>Software Development &amp; Programming<br>GitHub Trending - https://github.com/trending<br>DevDocs - https://devdocs.io/<br>JavaScript, CSS, HTML sandbox - https://jsfiddle.net/<br>MDN Web Docs - https://developer.mozilla.org/<br>Stack Overflow Blog - https://stackoverflow.blog/<br><br>IT Operations &amp; Infrastructure<br>AWS Service Health Dashboard - https://status.aws.amazon.com/<br>Cloudflare System Status - https://www.cloudflarestatus.com/<br>DownDetector - https://downdetector.com/<br>Microsoft Azure Status - https://status.azure.com/<br>Microsoft Office 365 Status - https://portal.office.com/servicest<wbr>atus<br><br>Previous: &gt;&gt;104574907 


guid: http://boards.4chan.org/g/thread/104592019
title: >Application dumps log files in the base...
author: Anonymous
url: http://boards.4chan.org/g/thread/104592019#104592019
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741146957174418.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741146957174418s.jpg'></a> <span class="quote">&gt;Application dumps log files in the base home directory</span> 


guid: http://boards.4chan.org/g/thread/104592030
title: /sdg/ - Stable Diffusion General
author: Anonymous
url: http://boards.4chan.org/g/thread/104592030#104592030
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741146995678746.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741146995678746s.jpg'></a> Previous /sdg/ thread : &gt;&gt;104578121<br> <br><span class="quote">&gt;Beginner UI local install</span><br>EasyDiffusion: https://easydiffusion.github.io<br>Metastable: https://metastable.studio<br>SwarmUI: https://github.com/mcmonkeyprojects<wbr>/SwarmUI<br> <br><span class="quote">&gt;Local install</span><br>ComfyUI: https://github.com/comfyanonymous/C<wbr>omfyUI<br>reForge: https://github.com/Panchovix/stable<wbr>-diffusion-webui-reForge<br>Forge: https://github.com/lllyasviel/stabl<wbr>e-diffusion-webui-forge<br>Stability Matrix: https://github.com/LykosAI/Stabilit<wbr>yMatrix<br> <br><span class="quote">&gt;Use a VAE if your images look washed out</span><br>https://rentry.org/sdvae<br> <br><span class="quote">&gt;SD 3.5 info &amp; download</span><br>https://rentry.org/sdg-link#sd35<br>https://civitai.com/models/896953/s<wbr>table-diffusion-35-medium<br>https://huggingface.co/city96/stabl<wbr>e-diffusion-3.5-medium-gguf<br>---<br>https://civitai.com/models/878387/s<wbr>table-diffusion-35-large<br>https://huggingface.co/city96/stabl<wbr>e-diffusion-3.5-large-gguf<br> <br><span class="quote">&gt;Try online without registration</span><br>sd3.5-medium: https://huggingface.co/spaces/stabi<wbr>lityai/stable-diffusion-3.5-medium<br>sd3.5-large: https://huggingface.co/spaces/stabi<wbr>lityai/stable-diffusion-3.5-large<br>sd3.5-turbo: https://huggingface.co/spaces/stabi<wbr>lityai/stable-diffusion-3.5-large-t<wbr>urbo<br>flux-dev: https://huggingface.co/spaces/black<wbr>-forest-labs/FLUX.1-dev<br>txt2img: https://www.mage.space<br> <br><span class="quote">&gt;Models, LoRAs &amp; upscaling</span><br>https://civitai.com<br>https://huggingface.co<br>https://openmodeldb.info<br> <br><span class="quote">&gt;Index of guides and other tools</span><br>https://rentry.org/sdg-link<br> <br><span class="quote">&gt;View and submit GPU performance data</span><br>https://vladmandic.github.io/sd-ext<wbr>ension-system-info/pages/benchmark.<wbr>html<br> <br><span class="quote">&gt;Share image prompt info</span><br>4chan removes prompt info from images, share them with the following guide/site...<br>https://rentry.org/hdgcb<br>https://catbox.moe<br> <br><span class="quote">&gt;Related boards</span><br><a href="//boards.4chan.org/h/catalog#s=hdg" class="quotelink">&gt;&gt;&gt;/h/hdg</a><br><a href="//boards.4chan.org/e/catalog#s=edg" class="quotelink">&gt;&gt;&gt;/e/edg</a><br><a href="//boards.4chan.org/d/catalog#s=ddg" class="quotelink">&gt;&gt;&gt;/d/ddg</a><br><a href="//boards.4chan.org/b/catalog#s=degen" class="quotelink">&gt;&gt;&gt;/b/degen</a><br><a href="//boards.4chan.org/vt/catalog#s=vtai" class="quotelink">&gt;&gt;&gt;/vt/vtai</a><br><a href="//boards.4chan.org/aco/catalog#s=sdg" class="quotelink">&gt;&gt;&gt;/aco/sdg</a><br><a href="//boards.4chan.org/u/catalog#s=udg" class="quotelink">&gt;&gt;&gt;/u/udg</a><br><a href="//boards.4chan.org/tg/catalog#s=slop" class="quotelink">&gt;&gt;&gt;/tg/slop</a><br><a href="//boards.4chan.org/trash/catalog#s=sdg" class="quotelink">&gt;&gt;&gt;/trash/sdg</a><br><a href="//boards.4chan.org/vp/catalog#s=napt" class="quotelink">&gt;&gt;&gt;/vp/napt</a> 


guid: http://boards.4chan.org/g/thread/104592108
title: you reckon this is worth $400
author: Anonymous
url: http://boards.4chan.org/g/thread/104592108#104592108
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741147645183004.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741147645183004s.jpg'></a> you reckon this is worth $400 


guid: http://boards.4chan.org/g/thread/104592257
title: if you don't use it, I will rape you
author: Anonymous
url: http://boards.4chan.org/g/thread/104592257#104592257
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741148950306137.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741148950306137s.jpg'></a> if you don&#039;t use it, I will rape you 


guid: http://boards.4chan.org/g/thread/104592327
title: Be Brave!
author: Brendan Eich
url: http://boards.4chan.org/g/thread/104592327#104592327
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741149514965061.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741149514965061s.jpg'></a> If you want to support Brave directly, buy Brave Premium Search at $3/month, for no search ads ever, and to help us go even harder against Big Tech. Thanks.<br>https://search.brave.com/help/premi<wbr>um 


guid: http://boards.4chan.org/g/thread/104592372
title: Is $6k for 96GB VRAM a good deal?
author: Anonymous
url: http://boards.4chan.org/g/thread/104592372#104592372
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741149922481224.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741149922481224s.jpg'></a> Is $6k for 96GB VRAM a good deal? 


guid: http://boards.4chan.org/g/thread/104592374
title: >tfw your smartphone os app store is filled...
author: Anonymous
url: http://boards.4chan.org/g/thread/104592374#104592374
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741149939334629.gif' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741149939334629s.jpg'></a> <span class="quote">&gt;tfw your smartphone os app store is filled with knockoff Chinese temu android tablet babies that give everything a 5-star rating for minuscule rewards, so taking into account legitimate reviews written with people with more than 3 brain cells the average game that plays 30-second ads after 1 maybe 10 minutes if you&#039;re a skibbidi l rizz beta who icks.</span><br><br>I&#039;d say the average review of utter shovelware worse than third-party Wii games on Google Play Store is 4.5 stars. I should be able to trust a 75-80% 5star rating from hundreds of thousands of people, but there is no kid play store so the entire app base in average is collapsing in quality in truth and quality in review not matching. 


guid: http://boards.4chan.org/g/thread/104592391
title: /fglt/ - Friendly GNU/Linux Thread
author: Anonymous
url: http://boards.4chan.org/g/thread/104592391#104592391
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741150068469981.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741150068469981s.jpg'></a> Users of all levels are welcome to ask questions about GNU/Linux and share their experiences.<br><br>*** Please be civil, notice the &quot;Friendly&quot; in every Friendly GNU/Linux Thread ***<br><br>Before asking for help, please check our list of resources.<br><br>If you would like to try out GNU/Linux you can do one of the following:<br>0) Install a GNU/Linux distribution of your choice in a Virtual Machine.<br>1) Use a live image and to boot directly into the GNU/Linux distribution without installing anything.<br>2) Dual boot the GNU/Linux distribution of your choice along with Windows or macOS.<br>3) Go balls deep and replace everything with GNU/Linux.<br><br>Resources: Please spend at least a minute to check a web search engine with your question.<br>Many free software projects have active mailing lists.<br><br>$ man %command%<br>$ info %command%<br>$ %command% -h/--help<br>$ help %builtin/keyword%<br><br>Don&#039;t know what to look for?<br>$ apropos %something%<br><br>Check the Wikis (most troubleshoots work for all distros):<br>https://wiki.archlinux.org<br>https://wiki.gentoo.org<br><br>/g/&#039;s Wiki on GNU/Linux:<br>https://igwiki.lyci.de/wiki/Categor<wbr>y:GNU/Linux<br><br><span class="quote">&gt;What distro should I choose?</span><br>https://igwiki.lyci.de/wiki/Babbies<wbr>_First_Linux<br><span class="quote">&gt;What are some cool programs?</span><br>https://wiki.archlinux.org/index.ph<wbr>p/list_of_applications<br>https://directory.fsf.org/wiki/Main<wbr>_Page<br>https://suckless.org/rocks/<br><span class="quote">&gt;What are some cool terminal commands?</span><br>https://www.commandlinefu.com/comma<wbr>nds/browse<br>https://cheat.sh/<br><span class="quote">&gt;Where can I learn the command line?</span><br>https://mywiki.wooledge.org/BashGui<wbr>de<br>https://www.grymoire.com/Unix/<br>https://overthewire.org/wargames/ba<wbr>ndit<br><span class="quote">&gt;Where can I learn more about Free Software?</span><br>https://www.gnu.org/philosophy/phil<wbr>osophy.html<br><span class="quote">&gt;How to break out of the botnet?</span><br>https://prism-break.org/en/categori<wbr>es/gnu-linux<br><br>/fglt/&#039;s website and copypasta collection:<br>https://fglt.nl &amp;&amp; https://files.catbox.moe/u3pj3i.txt<wbr><br><br>GNU/Linux Games:<br>&gt;&gt;&gt;/t/1175569<br><a href="//boards.4chan.org/vg/catalog#s=lgg" class="quotelink">&gt;&gt;&gt;/vg/lgg</a><br><br>IRC: #sqt on Rizon<br>https://fglt.nl/irc.html<br><br>Previous thread: &gt;&gt;104570398 


guid: http://boards.4chan.org/g/thread/104592450
title: Do you see it?
author: Anonymous
url: http://boards.4chan.org/g/thread/104592450#104592450
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741150553745794.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741150553745794s.jpg'></a> Do you see it?<br>It&#039;s the stuff right here is the problem. 


guid: http://boards.4chan.org/g/thread/104592470
title: >tells you to stop using firefox because...
author: Anonymous
url: http://boards.4chan.org/g/thread/104592470#104592470
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741150691606235.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741150691606235s.jpg'></a> <span class="quote">&gt;tells you to stop using firefox because it sells your data</span><br><span class="quote">&gt;shills brave even though it also sells your data</span> 


guid: http://boards.4chan.org/g/thread/104592622
title: Help
author: Anonymous
url: http://boards.4chan.org/g/thread/104592622#104592622
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741152225263824.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741152225263824s.jpg'></a> Hello people of 4chan, I need your help how to dox someone from Argentina with their phone number and ID. 


guid: http://boards.4chan.org/sci/thread/16607013
title: mouse woolly mammoth quimera created
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607013#16607013
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741103969233042.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741103969233042s.jpg'></a> how is this ethical? imagine being born as a gene editing experiment and completely unadapted to a world that is warming up<br>(they&#039;re so cute though) 


guid: http://boards.4chan.org/sci/thread/16607020
title: You braindead rightoids are going to be the death of human civilization...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607020#16607020
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741104274226309.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741104274226309s.jpg'></a> You braindead rightoids are going to be the death of human civilization 


guid: http://boards.4chan.org/sci/thread/16607107
title: Ok, so my natural environment professor just flat out said that...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607107#16607107
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741109354024350.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741109354024350s.jpg'></a> Ok, so my natural environment professor just flat out said that all fossil fuels and uranium will be depleted in 50 years. Is this true? 


guid: http://boards.4chan.org/sci/thread/16607111
title: I'm going to fail calc 2
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607111#16607111
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741109682049484.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741109682049484s.jpg'></a> I&#039;m going to fail calc 2 


guid: http://boards.4chan.org/sci/thread/16607143
title: /CFG/ Cold Fusion General
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607143#16607143
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741111554660491.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741111554660491s.jpg'></a> For those not paying attention NASA has been building Cold Fusion reactors. They are naming it &quot;Lattice Confinement Fusion&quot; as an RTG replacement, but this class of reactor being accepted science by NASA is the final nail which confirms all the following Fake News is true: <br>- ColdFusion<br>- LENR<br>- SAFIRE<br>- ECAT<br>- Blacklight/BrilliantLight<br>- SAM atomic model (at least functionally)<br>- Lattice Fusion in stellar metallic hydrogen <br>- Strange Radiation<br><br>Why? Present day NASA is using a cold fusion tech in developing RTG power sources for space probes. Reread that again if you need to or watch a video about it. <br>https://www.youtube.com/watch?v=N2I<wbr>f_GhJ89U&amp;t=292s<br><br>NASA being the bunch of lying assholes that they are, NASA is naming their tech Lattice Confinement Fusion but it&#039;s identical tech to Cold Fusion also called LENR which is largely open source these days. I&#039;ve built several reactors and I&#039;ll tell you even a simple charged core of nano metals &amp; deuterium at temperature will produce x-rays and slow neutrons. It&#039;s quite real. <br><br>A few more links:<br>https://www1.grc.nasa.gov/space/sci<wbr>ence/lattice-confinement-fusion/<br>https://journals.aps.org/prc/abstra<wbr>ct/10.1103/PhysRevC.101.044610<br><br>And if you&#039;re not too steeped in this research FYI &quot;bremsstrahlung-irradiated deuterated metals&quot; technique is the secret sauce used by Rossi in the ECAT device and BrilliantLight energy. NASA is focusing on Deuterated Erbium metal, but Palladium, Cheap Nickel and Titanium work better, so plan your investments accordingly. <br><br>If you&#039;re behind on the latest in Cold Fusion, here&#039;s a few places to start:<br><br>Primer - LENR: Fusion, Fission, and the Hidden Potential of Stability<br>https://www.youtube.com/watch?v=r7G<wbr>DdcD2JT4<br><br>The Martin Fleischmann Memorial Project (a bit dated but a good read)<br>http://www.quantumheat.org/index.ph<wbr>p/en/<br><br>This does mean a lot of people were wrong (looking at you MIT). I hope this doesn&#039;t bruise too many ego&#039;s, but here we are. Welcome to the future. 


guid: http://boards.4chan.org/sci/thread/16607162
title: How does suction work
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607162#16607162
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741113299243193.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741113299243193s.jpg'></a> It&#039;s supposed to be the air that pushes on something when you have a vacuum on one side. So then how in the fuck when a &quot;tube&quot;, fuck it I&#039;m gonna make this about dicks because it&#039;s easier, how is it that when it&#039;s sucked does it go into the mouth? When there is no angle for the air to push it from? 


guid: http://boards.4chan.org/sci/thread/16607181
title: AI - obligatory in studying physics?
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607181#16607181
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741114758403186.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741114758403186s.jpg'></a> Is there any fun in studying physics and math anymore now that AI is a thing? Is it even possible to become a physicist if you boycott tech? It&#039;s crazy how fast it happened. In just a couple of years we&#039;ve gone from normal life to coexisting with artificial humans that do everything for us. They even think for us.<br><br>I&#039;m in uni right now and everyone studies, learns, and does homework with AI assistance. &quot;Just ask chatGPT bro, I dunno what divergence is haha.&quot; They&#039;re encouraging students to use chatGPT as a crucial part of the learning process.<br>For me this just kills it. Outsourcing the excitement of learning and seeking information to some digital leftist phone app trained on Twitter posts just ruins it.<br>But that&#039;s not even the worst part. The worst part is knowing that AI was our fatal mistake and will ruin the world - when nobody else has the IQ to understand that - feels soulcrushing.<br>For me physics was about avoiding capitalist and degenerative technology, going back to primal and feral times where humans would share ideas around a campfire and use these ideas to advance human well-being. Drawing math formulas on sand with a stick. That&#039;s how I see science. But apparently for everyone else, science means increasingly convoluted gadgets and becoming dependent on gadget-assisted living like we were handicapped or something. Not surviving without AI or the brain chip that they will soon launch is like having brain damage. 


guid: http://boards.4chan.org/sci/thread/16607198
title: >high IQ materialist
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607198#16607198
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741116063025395.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741116063025395s.jpg'></a> <span class="quote">&gt;high IQ materialist</span><br>oxymoron 


guid: http://boards.4chan.org/sci/thread/16607209
title: Can you make money with math outside of being a salarycuck and...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607209#16607209
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741117041350131.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741117041350131s.jpg'></a> Can you make money with math outside of being a salarycuck and teaching? 


guid: http://boards.4chan.org/sci/thread/16607213
title: No. 16607213 by Anonymous
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607213#16607213
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741117179795873.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741117179795873s.jpg'></a> . 


guid: http://boards.4chan.org/sci/thread/16607231
title: We evolved by random chance
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607231#16607231
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741118657378785.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741118657378785s.jpg'></a> And your life is meaningless 


guid: http://boards.4chan.org/sci/thread/16607247
title: man groups animals based on DNA disparity!
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607247#16607247
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741119684487651.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741119684487651s.jpg'></a> disparity index.<br><br>if score is less than 60, animals get thrown into same group, if its larger than 60, I would say it doesnt belong in the group<br><br>largest disparity value between two species I had found was 700 and smallest was 0.7<br><br>here&#039;s a picture<br><br>some notions:<br>a human versus mosquito is value 400<br>a spider versus harvestman is 4<br><br>a human versus alligator is 2, thats kinda funny, there is not much of disparity at all between a human and alligator, maybe both have incredibly well preserved, hundreds of millions of year old mitochondria<br><br>which would mean, humans have almost unchanged mitochondria since the time we were lizards (it is inherited only through mothers)<br><br>mitochondrias only function is a power source of the cell.. it has no say onto what kind of animal it inhabits but wrong mitochondria would be a disaster for a cell in any case<br><br>all animal mitochondria came from the first ancestor of all animals so in the beginning it was the same for all<br><br>I would need to compare sometime chimps, gorillas and whatnot, with alligators, they should give out the same value as humans 


guid: http://boards.4chan.org/sci/thread/16607304
title: Why is our scalp hair the only hair on our bodies that grows...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607304#16607304
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741123320205489.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741123320205489s.jpg'></a> Why is our scalp hair the only hair on our bodies that grows really thick and can grow several feet in length? 


guid: http://boards.4chan.org/sci/thread/16607331
title: Fuck this annoying piece of shit into oblivion
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607331#16607331
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741124571190455.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741124571190455s.jpg'></a> Fuck this annoying piece of shit into oblivion 


guid: http://boards.4chan.org/sci/thread/16607370
title: You will allow positive spacetime curvature
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607370#16607370
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741126899334715.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741126899334715s.jpg'></a> You will allow positive spacetime curvature 


guid: http://boards.4chan.org/sci/thread/16607457
title: probably only 1 or 2 on /sci/ would get this
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607457#16607457
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741134192863017.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741134192863017s.jpg'></a> probably only 1 or 2 on /sci/ would get this. 


guid: http://boards.4chan.org/sci/thread/16607566
title: What is the fundamental nature of the reality of the universe?...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607566#16607566
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741139828039694.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741139828039694s.jpg'></a> What is the fundamental nature of the reality of the universe? 


guid: http://boards.4chan.org/sci/thread/16607626
title: Are online IQ tests legit?
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607626#16607626
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741145358462980.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741145358462980s.jpg'></a> I did 2 different free online IQ tests and got between like 96-100. Multiple people, online and in real life, have told me I&#039;m pretty smart and I can see from my own childhood I was pretty smart. I&#039;m terrible with math and missed out on over a year of schooling when I was young, i&#039;m starting to think I&#039;m just a midwit and the reason I appear smart is simply because everyone around me is retarded.<br><br>I did pic rel 2 times, that&#039;s the second result with the first being 96 and the one on the other test was 97 


guid: http://boards.4chan.org/sci/thread/16607642
title: Do we have the technology to blasts a beam of radiation through...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607642#16607642
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741146734752693.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741146734752693s.jpg'></a> Do we have the technology to blasts a beam of radiation through to the other side of the earth to assassinate someone or irradiate a portion of the continent? <br><br>the purpose being a weapon of course 


guid: http://boards.4chan.org/sci/thread/16607676
title: if i were to learn physics , chemistry and biology from scratch...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16607676#16607676
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741149812375229.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741149812375229s.jpg'></a> if i were to learn physics , chemistry and biology from scratch . how will i do so whilst being as quick and efficient as possible 


guid: http://boards.4chan.org/his/thread/17555941
title: look at this stupid bullshit i spent 40$ on
author: Anonymous
url: http://boards.4chan.org/his/thread/17555941#17555941
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741141919208938.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741141919208938s.jpg'></a> look at this stupid bullshit i spent 40$ on. i&#039;m such an autistic freak. 


guid: http://boards.4chan.org/his/thread/17555947
title: The Huns, Rome and the Birth of Europe
author: Anonymous
url: http://boards.4chan.org/his/thread/17555947#17555947
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741142101466628.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741142101466628s.jpg'></a> <span class="quote">&gt;The huns were the ones who destroyed the roman empire</span><br><span class="quote">&gt;Europe didn&#039;t have culture before them, the huns brought inovation and science to backwards europe</span><br><br>Is this true? Did big dicked asian chads that spend centuries cucking white pigs and fucking white women create europe? 


guid: http://boards.4chan.org/his/thread/17555953
title: 16 pints!
author: Anonymous
url: http://boards.4chan.org/his/thread/17555953#17555953
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741142309481777.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741142309481777s.jpg'></a>  


guid: http://boards.4chan.org/his/thread/17555960
title: Humanities Question
author: Anonymous
url: http://boards.4chan.org/his/thread/17555960#17555960
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741142462589780.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741142462589780s.jpg'></a> If you were baptised as a child but became an atheist later in life do you still get into heaven? 


guid: http://boards.4chan.org/his/thread/17555967
title: >Kyle the Egyptian
author: Anonymous
url: http://boards.4chan.org/his/thread/17555967#17555967
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741142619299672.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741142619299672s.jpg'></a> <span class="quote">&gt;Kyle the Egyptian</span> 


guid: http://boards.4chan.org/his/thread/17555986
title: >The Durants had originally planned to...
author: Anonymous
url: http://boards.4chan.org/his/thread/17555986#17555986
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741143428414515.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741143428414515s.jpg'></a> <span class="quote">&gt;The Durants had originally planned to carry &quot;The Story of Civilization&quot; all the way to 1945 but this seemed unlikely as they were 82 and 69 by the time the tenth volume in the series, &quot;Rousseau and Revolution&quot;, arrived in 1967. However they did ultimately finish volume eleven, &quot;The Age of Napoleon&quot;, covering the period 1793 to 1815, which was published in 1975, just as Will Durant celebrated his 90th birthday.</span><br>Aw, he never got to Marx and Nietzsche. Bummer. 


guid: http://boards.4chan.org/his/thread/17555991
title: A billboard outside Cincinnati, Ohio, USA with German propaganda...
author: Anonymous
url: http://boards.4chan.org/his/thread/17555991#17555991
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741143665839247.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741143665839247s.jpg'></a> A billboard outside Cincinnati, Ohio, USA with German propaganda advocating for American neutrality , c. 1915 


guid: http://boards.4chan.org/his/thread/17556014
title: Just think about it.
author: Anonymous
url: http://boards.4chan.org/his/thread/17556014#17556014
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741144799236580.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741144799236580s.jpg'></a> We live in an age of instant information transfer. The entire vista of human knowledge is available for free on a device that fits in your pocket. Any subject you want is avilible for self-education. At any level, from the basics to advanced. <br><br>Yet...<br><br>There are still people who literally believe that a virgin gave birth to a magic jew that died, came alive again, raised a horde of jew zombies then flew away into the sky on a magic cloud. 


guid: http://boards.4chan.org/his/thread/17556052
title: God is anti Freedom, Satan is pro Freedom
author: Anonymous
url: http://boards.4chan.org/his/thread/17556052#17556052
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741146155138369.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741146155138369s.jpg'></a> God is anti Freedom, Satan is pro Freedom. Simple as. 


guid: http://boards.4chan.org/his/thread/17556060
title: What do you guys think this mid-19th century hair loss treatment actually was?
author: Anonymous
url: http://boards.4chan.org/his/thread/17556060#17556060
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741146316106380.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741146316106380s.jpg'></a> Do you think they were just selling stuff they knew was absolute bullshit? 


guid: http://boards.4chan.org/his/thread/17556104
title: why did the american government stop fighting the counter culture?...
author: Anonymous
url: http://boards.4chan.org/his/thread/17556104#17556104
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741147647003437.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741147647003437s.jpg'></a> why did the american government stop fighting the counter culture? 


guid: http://boards.4chan.org/his/thread/17556124
title: It is not fair
author: Anonymous
url: http://boards.4chan.org/his/thread/17556124#17556124
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741148453373418.gif' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741148453373418s.jpg'></a> <span class="quote">&gt;closest genetically to ibero-aquitanians</span><br><span class="quote">&gt;closest to hallstatt celts</span><br><span class="quote">&gt;closest to iron age italics</span><br><span class="quote">&gt;closest to punics</span><br><span class="quote">&gt;closest to pre-hellenic sicilians</span><br>A genetic relic from Ancient Western Mediterranean 


guid: http://boards.4chan.org/his/thread/17556126
title: Did anyone of Jesus apostles expect it would take over two millenniums...
author: Anonymous
url: http://boards.4chan.org/his/thread/17556126#17556126
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741148758503374.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741148758503374s.jpg'></a> Did anyone of Jesus apostles expect it would take over two millenniums for him to return? 


guid: http://boards.4chan.org/his/thread/17556188
title: All this guy had to do was rebrand everything he did as "Fighting...
author: Anonymous
url: http://boards.4chan.org/his/thread/17556188#17556188
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741150973282226.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741150973282226s.jpg'></a> All this guy had to do was rebrand everything he did as &quot;Fighting against Western Zionist Imperialism&quot; and leftist fucktards would still be defending him to this day. 


guid: http://boards.4chan.org/his/thread/17556189
title: Is it immoral to be a coward?
author: Anonymous
url: http://boards.4chan.org/his/thread/17556189#17556189
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741150987387840.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741150987387840s.jpg'></a> Is it immoral to be a coward? 


guid: http://boards.4chan.org/his/thread/17556201
title: When is the bottleneck gonna happen? What is it gonna be?
author: Anonymous
url: http://boards.4chan.org/his/thread/17556201#17556201
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741151270318900.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741151270318900s.jpg'></a> When is the bottleneck gonna happen? What is it gonna be? 


guid: http://boards.4chan.org/his/thread/17556207
title: Gilles Deleuze
author: Anonymous
url: http://boards.4chan.org/his/thread/17556207#17556207
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741151366826676.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741151366826676s.jpg'></a> I just finished Difference and Repetition the reviews are correct—this is the greatest work of philosophy since Kant.<br><br>Why hasn&#039;t Deleuze gotten more popularity? 


guid: http://boards.4chan.org/his/thread/17556235
title: Redpill me on the Hittites
author: Anonymous
url: http://boards.4chan.org/his/thread/17556235#17556235
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741151858018325.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741151858018325s.jpg'></a> Starting with the Hittites. What do I need to read or know to get redpilled on the acropolis of Hattusa, the Lion Gate, or the charioteers of Kadesh? Do I pray a hymn to Sharruma, or look into the movements of the Sea Peoples, or research the reign of Urhi-Teshub? 


guid: http://boards.4chan.org/his/thread/17556249
title: Do current events prove the wisdom of the Tao?
author: Anonymous
url: http://boards.4chan.org/his/thread/17556249#17556249
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741152229829672.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741152229829672s.jpg'></a> With the US destroying their global hegemony in the space of two months and China finally reclaiming the mandate of heaven by effectively doing nothing, does this prove the wisdom found in the Tao? Is the world simply returning to its natural state? Is Xi practicing the principle of wu wei? 


guid: http://boards.4chan.org/his/thread/17556259
title: >the bible isn't all there is to...
author: Anonymous
url: http://boards.4chan.org/his/thread/17556259#17556259
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741152438514908.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741152438514908s.jpg'></a> <span class="quote">&gt;the bible isn&#039;t all there is to christianity</span><br><span class="quote">&gt;it says so right there in the bible</span><br><span class="quote">&gt;and the ultimate authority from which I derive my power is the bible</span> 


guid: https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Subservience-signaling)
title: Subservience-signaling
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Subservience-signaling)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

US progressives have been criticized in recent years for
"virtue-signaling" terminology that they pressure everyone to adopt,
</p>
<p>
Now <a class=glossary href="/glossary.html#magat">magats</a>
have formulated subservience-signaling terminology;
<a href="https://www.theguardian.com/commentisfree/2025/feb/21/trump-media-rename-gulf-of-mexico">"Gulf
of America"</a> is one example.
Those who don't adopt this terminology are
<a href="https://stallman.org/archives/2024-nov-feb.html#23_February_2025_(Urgent:_Schoolteachers_Gulf_of_Mexico)">threatened
with discrimination</a>
by the government or by billionaires.
</p>
<p>
This term, though of little inherent importance, is the thin edge of
an axe blade that <a class=glossary href="/glossary.html#wrecker">the wrecker</a>
is swinging to cripple the free press.
</p>
</li>

 


title: Mass firings effects on federal land agencies
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Mass_firings_effects_on_federal_land_agencies)

url:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Mass_firings_effects_on_federal_land_agencies)

content:
 
<p>

*Mass firings
<a href="https://www.theguardian.com/us-news/2025/feb/21/trump-federal-land-wildfire-response">hamstring
federal land agencies and wildfire response</a>.*
</p>
<p>
The whole country will suffer from the Depredations of Government
Evisceration..
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Long-term_effects_of_Gaza_war)
title: Long-term effects of Gaza war
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Long-term_effects_of_Gaza_war)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

*Long-term effects of Gaza war could
<a href="https://www.theguardian.com/global-development/2025/feb/22/gaza-wars-aftereffects-palestinian-death-toll-warn-uk-doctors-disease-malnutrition-healthcare">quadruple
Palestinian death toll</a>, warn UK
doctors.*
</p>
</li>

 


title: Ways UK could fund military buildup
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Ways_UK_could_fund_military_buildup)

url:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Ways_UK_could_fund_military_buildup)

content:
 
<p>

An article <a href="https://www.theguardian.com/global/2025/feb/23/how-uk-and-eu-could-find-more-money-for-defence-without-spooking-the-markets">considers
various ways</a> the UK could fund the necessary
military buildup.  The most obvious method, which would also correct
the increasing concentration of wealth &mdash; to tax the rich more &mdash;
is mysteriously missing from the list.
</p>
</li>

 


title: Conquest of Australia by British colonists
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Conquest_of_Australia_by_British_colonists)

url:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Conquest_of_Australia_by_British_colonists)

content:
 
<p>

An Australian commission has determined that the conquest of Australia
by British colonists involved
<a href="https://www.theguardian.com/australia-news/2025/feb/23/more-than-10000-first-nations-people-killed-in-australias-frontier-wars-final-massacre-map-shows-ntwnfb">violently
killing</a> around 10.000
aboriginals.
</p>
<p>
That massive violence was just a part of it.  I learned how this
operated from a book called <em>The Other Side of the Frontier</em>, by Henry
Reynolds.  Colonists moving into an area occupied the river valleys to
farm them.  The local indigenous people still held most of the land,
but they had lost most of the food resources.  They could not survive
that way.
</p>
<p>
I reject the term "first nations" because it is designed to impose an
attitude of reverence which no ethnic group is entitled to.  We can
criticize colonialism without ritual bowing to the people who were
colonized.
</p>
</li>

 


title: Corrupter to punish EU for fines on Facebook
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Corrupter_to_punish_EU_for_fines_on_Facebook)

url:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Corrupter_to_punish_EU_for_fines_on_Facebook)

content:
 
<p>
Facebook told the EU that <a class=glossary href="/glossary.html#corrupter">the corrupter</a>
will <a href="https://gizmodo.com/meta-says-itll-tattle-to-trump-if-eu-keeps-being-mean-2000564638">punish
the EU</a> if he
disapproves of how much it fines Facebook for violating EU laws.
</p>
</li>

 


title: Palestinian flags covered in art display
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Palestinian_flags_covered_in_art_display)

url:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Palestinian_flags_covered_in_art_display)

content:
 
<p>

The National Gallery of Australia
<a href="https://www.theguardian.com/artanddesign/2025/feb/20/palestinian-flags-covered-nga-gallery-exhibition-ntwnfb">covered
up Palestinian flags</a> in
a piece of art on display as part of an exhibit, saying this was
for "security".
</p>
<p>
It did not try to explain why the goal of "security" justified, or
even suggested, such censorship.
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Washington_post_newspaper_ad)
title: Washington post newspaper ad
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Washington_post_newspaper_ad)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

The Washington Post newspaper sold an ad saying "Fire Elon Musk",
then <a href="https://thehill.com/media/5148497-washington-post-backs-out-of-fire-elon-musk-ad-order/">canceled
the sale</a> instead of running the ad.
</p>
</li>

 


title: Google Maps blocking reviews about Gulf of Mexico
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Google_Maps_blocking_reviews_about_Gulf_of_Mexico)

url:
https://stallman.org/archives/2025-jan-apr.html#28_February_2025_(Google_Maps_blocking_reviews_about_Gulf_of_Mexico)

content:
 
<p>
Google Maps is <a href="https://www.bbc.com/news/articles/crlky380wd7o">blocking
users from posting reviews</a> about the Gulf of
Mexico, because many users had left negative reviews to rebuke the
bully's attempt to rename it,
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(RSF:_War_journalist_repression,_RUS)
title: RSF: War journalist repression, RUS
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(RSF:_War_journalist_repression,_RUS)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
A summary of
<a href="https://rsf.org/en?mc_cid=f44304649f&mc_eid=UNIQID">attacks</a>
against non-allied media by <a class="glossary"
href="/glossary.html#wrecker">the wrecker</a> and his henchmen.


 


guid: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(West_Bank_militarization)
title: West Bank militarization
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(West_Bank_militarization)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*Major military operation causes
<a href="https://www.theguardian.com/world/2025/feb/26/family-mourns-grandfathers-death-as-israel-brings-gaza-tactics-to-west-bank">largest
displacement of Palestinians</a>
in West Bank since Israel seized it in 1967.*

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Judge_blocks_Musk_agency)
title: Judge blocks Musk agency
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Judge_blocks_Musk_agency)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*Judge blocks Musk agency access to
<a href="https://www.theguardian.com/us-news/2025/feb/24/elon-musk-doge-personal-information">millions
of Americans' personal data</a>.*

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(US-RUS_at_UN,_G7,_NATO)
title: US-RUS at UN, G7, NATO
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(US-RUS_at_UN,_G7,_NATO)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
The tyrant-lover has enrolled the US in the hall of shame for
<a href="https://www.theguardian.com/world/2025/feb/24/un-general-assembly-russia-ukraine-war">countries
that refuse to condemn</a> Putin's invasion of Ukraine.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Hold-time_algorithm)
title: On-hold-time algorithm
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Hold-time_algorithm)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
HP came up with a clever way to boost use of bullshit generators:
when customers called the phone line for customer disservice, HP would
<a href="https://pluralistic.net/2025/02/22/ink-spattered-pitchforks/#racehorse-semen">make
each one wait 15 minutes</a> listening to would-be brainwashing to use
the chatbot instead, before allowing the connection.
<p>
The rage of customers must have been powerful, because HP soon
retreated from this nastiness.
<p>
But it still carries out many forms of nastiness.
<p>
I have often had to wait over an hour for a business to respond.  So I
have learned how to handle my email while hearing these "use our
convenient but unjust web site" torture session.  Having email to
distract me from the torture so it doesn't hurt.


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Neo-Nazi_party_deception,_DEU)
title: Neo-Nazi party deception, DEU
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Neo-Nazi_party_deception,_DEU)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Germany's neo-Nazi party temporarily tried to give the impression, for
the election, that it was a little less Nazi.  Turns out
<a href="https://www.theguardian.com/world/2025/feb/25/afd-readmits-two-politicians-excluded-over-na`zi-related-remarks">that
was just a sham</a>.

<p>
 


title: Undersea cable damage suspect, Taiwan
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Undersea_cable_damage_suspect,_Taiwan)

url:
https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Undersea_cable_damage_suspect,_Taiwan)

content:
 
<p>
*Taiwan detains
<a href="https://www.theguardian.com/world/2025/feb/25/taiwan-detains-chinese-crewed-cargo-ship-after-undersea-cable-damaged">Chinese-crewed
cargo ship</a> after undersea cable damaged.*
<p>
Since the polite words of states attacked this way were treated as a
sign of weakness, it's necessary that they show their strength.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Chief_of_decision_control)
title: Chief of decision control
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Chief_of_decision_control)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Robert Reich asserts that the <a class="glossary"
href="/glossary.html#s-i-c">saboteur-in-chief</a> is aiming to
establish personal control over all parts of the US government that
can employ force.  He is doing this by
<a href="https://robertreich.substack.com/p/the-meaning-of-tyranny">*putting
into power people who are more loyal</a> to him than they are to the
United States.*
<p>
Once this has gone far enough, he will be able to threaten all
opposition leaders with imprisonment or death -- by asking
those bent officials to bend the law for his sake.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Gaza_doctors_prison_ordeal)
title: Israeli prisons, Gaza doctors
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#1_March_2025_(Gaza_doctors_prison_ordeal)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*<a href="https://www.theguardian.com/global-development/2025/feb/26/testimony-of-gaza-doctors-israel-prison">Eight
Gaza doctors</a> on their Israeli prison ordeal.*
<p>
It is a war crime to torture prisoners like that.
It is also a war crime to attack hospitals.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Judge_blocks_mass_firings,_US_govt)
title: Judge blocks mass gov't-firings
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Judge_blocks_mass_firings,_US_govt)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*Judge temporarily blocks Trump’s mass firings at federal agencies.
<a href="https://www.theguardian.com/us-news/2025/feb/27/judge-temporarily-blocks-trump-firings">US
Office of Personnel Management lacks power</a> to order firings,
including those of probationary employees.*


<p>
 


title: State pensions in cryptocurrency
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Corrupt_state_pensions_in_cryptocurrency)

url:
https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Corrupt_state_pensions_in_cryptocurrency)

content:
 
<p>
Some Democrats running for state governor receive
<a href="https://theintercept.com/2025/02/27/crypto-elections-campaign-governor-nj-ny/">campaign
support from cryptocurrency</a> schemes.  They earn that money by
saying they will put pension fund money into those schemes.
<p>
Pension funds should choose investments that are pretty low in risk.
The only way "investment" in cryptocurrency can have low enough risk
not to be considered speculation is if corruption ensures its value
can't decrease much.
<p>
It follows that any candidate who suggests putting some state pension
funds into a cryptocurrency is either incompetent or bent.


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Gender_as_contamination,_US_military)
title: US military gender ideation
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Gender_as_contamination,_US_military)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
<a class="glossary" href="/glossary.html#wrecker">The wrecker</a>
ordered the US military to find and discharge all
<a href="https://www.theguardian.com/us-news/2025/feb/27/transgender-us-military-personnel-pentagon-memo-stood-down-trump-administration">transgender
servicemembers</a>.
<p>
The supposed justification for this is a bald assertion that being
trans is incompatible with military service.  Saying so does not
make it true.


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(When_Clinton_cut_gov't_jobs)
title: When Clinton cut gov't jobs
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(When_Clinton_cut_gov't_jobs)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Musk claimed that his abrupt firing of thousands of federal workers is
just like Clinton's job cuts in the 1990s.  Robert Reich, who carried
out part of those cuts, lays out
<a href="https://robertreich.substack.com/p/musks-rubbish">the fundamental differences</a>.
<p>
*When you hear Musk say his effort is similar to what I and others did
in the 1990s, know he’s lying. When you see him call people who
benefit from public programs "parasites," know he’s a hypocrite.*
<p>
To avoid painting an exaggeratedly favorable picture of Bill Clinton
as a champion of the people, let it be known also that he did many
things that transferred wealth from the poor to the rich.  This
included his "welfare reform" that reduced government aid to the poor.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(US_power_in_EU)
title: US power in EU
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(US_power_in_EU)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
George Monbiot: *So much of [UK]
<a href="https://www.theguardian.com/commentisfree/2025/feb/27/britain-defend-itself-us-military">intelligence
and military systems are shared</a> [with] or reliant on the US
&mdash; if it becomes the enemy, it is already inside the gates.*
<p>
The idea of NATO, like that of "five-eyes" intelligence sharing, was
predicated on the idea of an alliance that would never end, as well as
on the idea of shared principles of democracy and human rights that
would certainly continue (albeit occasionally deniably betrayed by the
various governments).
<p>
Nowadays, for the US in a Tr-ance, "cooperation with" other countries
is a euphemism for making them submit and obey, or recruiting them
into the gang.  It is trying to recruit Putin, Europe's main existing
enemy.
<p>
Will <a class="glossary" href="/glossary.html#wrecker">the wrecker</a>
share the UK's intelligence with Putin?  I don't think any principles
or loyalties would hold him back.


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Deporting_Uyghurs,_THA)
title: Deporting Uyghurs, THA
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Deporting_Uyghurs,_THA)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*Thailand deports dozens of Uyghurs to China
<a href="https://www.theguardian.com/world/2025/feb/27/thailand-deports-dozens-of-uyghurs-to-china-despite-torture-fears">despite
torture fears</a>.
&nbsp; &nbsp;
Rights experts say group who have been detained for more than 10 years
face high risk of torture and imprisonment.*
<p>
Not deporting people to countries likely to persecute them is a basic principle
of the international system of asylum, but many countries are visibly
treating that system with contempt, including
<a href="https://stallman.org/archives/2010-sep-dec.html#30%20September%202010%20(Better%20off%20dead)">Australia</a>,
the
<a href="https://stallman.org/archives/2025-jan-apr.html#23_February_2025_(US-Panama_relations)">US</a>,
the
<a href="https://web.archive.org/web/20100818203642/http://www.independent.co.uk:80/news/uk/politics/police-to-get--powers-to-hold-terror-suspects-indefinitely-629866.html">UK</a>
and various
<a href="https://stallman.org/archives/2008-may-aug.html#20%20June%202008%20(Europe%20and%20the%20EU)">EU</a>
countries.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(colorado_tesla_dealership_vandalism)
title: Dealership vandalism
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(colorado_tesla_dealership_vandalism)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*Colorado woman charged with vandalizing
<a href="https://www.theguardian.com/us-news/2025/feb/27/colorado-tesla-dealership-vandalism-charge">Tesla
dealership.*</a>
<p>
If cars are made by a Nazi sympathizer, does that justify calling the
cars "Nazi cars"?  We don't know that the cars share the views of the
owner of the company.  Perhaps the cars were traumatized by the
attitude inside the factory to the point that they are ready to blow
the whistle on the owner's right-wing subversion.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(door_dash_tips_delivery_workers)
title: DoorDash tips
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(door_dash_tips_delivery_workers)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*[DoorDash] claimed that 100% of tips went to [the delivery people] but instead
used them to
<a href="https://www.theguardian.com/us-news/2025/feb/27/doordash-new-york-tips-delivery-workers">subsidize
workers' base salary.*</a>
<p>
As far as I know, only that one food delivery company has cheated in that
particular way.  But others
<a href="https://www.stallman.org/food-delivery.html">cheat
various parties</a>
<p>
in various ways.  We should not trust or reward any of them.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_((Satire)_jeff_bezos_whole_foods)
title: (Satire) Criticism Of Grapes
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_((Satire)_jeff_bezos_whole_foods)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
(satire) *Jeff Bezos Sends Note To Whole Foods Staff Forbidding
<a href="https://theonion.com/jeff-bezos-sends-note-to-whole-foods-staff-forbidding-criticism-of-grapes/">Criticism
Of Grapes.*</a>

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(3M_chemicals_disinformation_early_on)
title: 3M chemicals disinformation early on
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(3M_chemicals_disinformation_early_on)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*3M told customers its
<a href="https://www.theguardian.com/environment/2025/jan/15/3m-firefighting-foams-pfas-forever-chemicals-documents">firefighting
foams were harmless</a>
and biodegradable, when it knew they
contained toxic substances so persistent they are now known as
"forever chemicals" and banned in many countries.*


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Zelenskyy_ambushed_by_Tr-ance_on_TV)
title: Zelenskyy ambushed by Tr-ance on TV
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Zelenskyy_ambushed_by_Tr-ance_on_TV)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*Ukraine "gambling with world war three", Trump tells Zelenskyy in
<a href="https://www.theguardian.com/us-news/2025/feb/28/trump-zelenskyy-meeting-ukraine-aid-war">fiery
meeting</a>.*
<p>
<a class="glossary" href="/glossary.html#bully">The bully</a>
is echoing Putin's repeated propaganda line: "Give in to
my demands or I might use nuclear weapons."  I have called this his
"I'm a madman with a nuke" routine.
<p>
This is more reason to think that
<a class="glossary" href="/glossary.html#wrecker">the wrecker</a> is in cahoots with Putin
or else under Putin's control.
<p>
When <!---->the bully insists that what he wants peace (at any price), I
think of a line from an old Reggae song: "I don't want peace, I want
equal rights."  It is easy for a bully with an army to shake victims
down by starting a war and offering to end it in exchange for some
valuable prize.  But if you give in, you lose.


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Urgent:_Sustaine_Medicaid)
title: Urgent: Sustain Medicaid
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#2_March_2025_(Urgent:_Sustaine_Medicaid)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
US citizens:
<a href="https://act.demandprogress.org/sign/gop-medicaid-cuts-resolution/?t=1004&akid=33188%2E96703%2ETrAmv-">call
on Congress</a> not to cut Medicaid.  The proposed cuts would bring
about the death of non-rich Americans that get sick.
<p>
If you phone, please spread the word!
Main Switchboard: <a href="tel:+12022243121">+1-202-224-3121</a>

<p>
 


title: Urgent: Prevent US plans for war, MEX
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Urgent:_Prevent_US_plans_to_bomb_Mexico)

url:
https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Urgent:_Prevent_US_plans_to_bomb_Mexico)

content:
 
<p>
US citizens:
<a href="https://act.winwithoutwar.org/act/fto-designation">call on
Congress</a> not to support <a class="glossary"
href="/glossary.html#bully">the bully's</a> idea for a war with
Mexico.  The "war on drugs" is stupid as a metaphor, and even stupider
as a shooting war.
<p>
If you phone, please spread the word!
Main Switchboard: <a href="tel:+12022243121">+1-202-224-3121</a>



<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Zelenskyy_acrimony,_ambush,_US%2FUKR)
title: Zelenskyy acrimony, ambush, US/UKR
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Zelenskyy_acrimony,_ambush,_US%2FUKR)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
A meeting between Zelenskyy and Tr-ance in the White House
<a href="https://www.theguardian.com/us-news/2025/feb/28/trump-zelenskyy-meeting-transcript">broke
up in acrimony</a>.
<p>
They tried to bully him into selling Ukraine's mineral resources
without getting military support in return, by attacking him and
Ukraine.  He responded civilly to the points they made, while sticking
to his negotiating position.  They searched for and found ways to
interpret his words as attacks so they could counterattack to bully
more.
<p>
A journalist called this an "ambush", and
<a href="https://www.theguardian.com/us-news/2025/feb/28/trump-zelenskyy-shouting-match-oval-office">maybe it was</a>.
<p>
I think that they set up the meeting so they could bully him very
harshly, and even planned ending the meeting with insults if he did
not give them what they wanted.
<p>
Including Vance in the meeting looks to me like a tactic to make the
argument two-against-one and thus be nastier.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Gazan_medics'_prison_torture)
title: Gazan medics' prison torture
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Gazan_medics'_prison_torture)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*<a href="https://www.theguardian.com/global-development/2025/feb/25/more-than-160-gazan-medics-held-in-israeli-prisons-amid-reports-of-torture">More
than 160 Gazan medics</a> held in Israeli prisons amid reports of
torture.*
<p>
*Gaza's doctors say they were tortured, beaten and humiliated in
Israeli [prison].*


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(First_official_language,_US)
title: First official language, US
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(First_official_language,_US)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
<a class="glossary" href="/glossary.html#wrecker">The wrecker</a>
plans to screw everyone in the US who does not speak English well
enough to deal with government bureaucracy, by
<a href="https://www.theguardian.com/us-news/2025/feb/28/trump-executive-order-english-official-language">eliminating
support for interpreters</a> to help.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Urgent:_Investigate_Musk)
title: Urgent: Investigate Musk
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Urgent:_Investigate_Musk)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
US citizens:
<a href="https://act.pfaw.org/sign/investigate-elon-musk/">call on Congress</a>
to investigate Musk and his depredations.
<p>
If you phone, please spread the word!
Main Switchboard: <a href="tel:+12022243121">+1-202-224-3121</a>


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Ruling_against_the_executive_rulers)
title: Ruling against the executive rulers
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Ruling_against_the_executive_rulers)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*A US judge on Saturday declared president Donald Trump’s firing of the
<a href="https://www.theguardian.com/us-news/2025/mar/02/trumps-firing-of-watchdog-agency-chief-and-would-give-license-to-bully-officials-judge-rules">head
of [the Office of Special Counsel]</a> illegal.*
<p>
Enough decisions like this might lead to restoring rule of law.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(ACLU_stands_up_for_immigrants)
title: ACLU stands up for deportees
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(ACLU_stands_up_for_immigrants)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*ACLU sues to block White House from sending [certain] immigrants
<a href="https://www.theguardian.com/us-news/2025/mar/01/aclu-immigration-trump-guantanamo">to
Guantánamo</a>.*

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Pro-Ukranian_protestor_backlash_)
title: Pro-Ukranian backlash, protests
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Pro-Ukranian_protestor_backlash_)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Americans rallied to support Ukraine
(<a href="https://www.theguardian.com/us-news/2025/mar/01/ukraine-protests-zelenskyy-trump">and condemn</a>
<a class="glossary" href="/glossary.html#bully">the bully</a>).
<p>
Europeans in various counties also rallied to support Ukraine.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Continue_world_aid,_AND_rearm,_UK)
title: Continue world aid, AND rearm, UK
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#3_March_2025_(Continue_world_aid,_AND_rearm,_UK)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
<a href="https://www.theguardian.com/commentisfree/2025/mar/02/international-aid-is-as-vital-as-defence-spending-cutting-either-undermines-british-security">Britain
must</a> continue foreign aid as well as rearm.  It must also raise
the standard of living of Britons, which has fallen since Thatcher
redirected Britain's wealth to the rich.
<p>
Britain can do all of these things if it starts taxing the rich as they
deserve.


<p>
 


title: No US Net-Zero Banking Alliance, COP26
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(No_US_Net-Zero_Banking_Alliance,_COP26)

url:
https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(No_US_Net-Zero_Banking_Alliance,_COP26)

content:
 
<p>
From mid-January: *Major banks are
<a href="https://www.theguardian.com/commentisfree/2025/jan/15/woke-capital-net-zero-banking-alliance">abandoning
their climate alliance</a> en masse. So much for "woke capital".*
<p>
Many is clear that the companies that halfheartedly agreed to help reduce
CO2 emissions had no real appreciation of the danger they were agreeing
to help prevent.  Now that the US has fallen into a Tr-ance, and his pushing
those companies to help wreck the world, they do not resist.


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Plant_CO2_absorption_slowing)
title: Plant CO2 absorption slowing
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Plant_CO2_absorption_slowing)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Earth's plants and soil have been decreasing their absorption of CO2
<a href="https://www.theguardian.com/science/2025/feb/26/plants-losing-appetite-for-carbon-dioxide-amid-effects-of-warming-climate">ever
since 2008</a>.


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Depending_on_US_LNG_as_risky)
title: Depending on US LNG as risky
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Depending_on_US_LNG_as_risky)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*Planned EU investments in LNG risk increased dependency on US at
<a href="https://www.commondreams.org/newswire/planned-eu-investments-in-lng-risk-increased-dependency-on-us-at-worst-possible-time">worst
possible time</a>.*

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(City_LNG_restrictions_sabotaged)
title: City LNG restrictions sabotaged
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(City_LNG_restrictions_sabotaged)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
How the fossil gas industry uses
<a href="https://www.theguardian.com/us-news/2025/feb/24/gas-new-homes-construction">lobbying
and lawsuits to quash city laws</a> that stop new buildings from being
hooked up to gas pipelines.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(CO2_pipeline_safety_regulations)
title: CO2 pipeline safety regulations
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(CO2_pipeline_safety_regulations)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
<a class="glossary" href="/glossary.html#wrecker">The wrecker's</a>
latest gift to the fossil fuel companies is to
<a href="https://www.levernews.com/trump-removes-zombie-pipeline-safety-rules/">cancel
the proposed safety regulations</a> on pipelines that transport CO2
under high pressure.  A little CO2 in the air is normal and not
medically harmful, but high-pressure leaks have put people nearby in
the hospital.

<p>
 


title: Tesla, SpaceX vulnerable to Democrats
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Tesla,_SpaceX_vulnerable_to_Democrats)

url:
https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Tesla,_SpaceX_vulnerable_to_Democrats)

content:
 
<p>
*Senate Democrats have the power to block federal contracts to Tesla and SpaceX. It’s the path to
<a href="https://theintercept.com/2025/02/17/elon-musk-trump-government-tesla-spacex/?utm_medium=email&utm_source=The%20Intercept%20Newsletter">pushing
Musk out of politics</a>.*

<p>
 


title: China can capitalise on damage caused by Trump
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(China_can_capitalise_on_damage_caused_by_Trump)

url:
https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(China_can_capitalise_on_damage_caused_by_Trump)

content:
 
<p>

*"America is going down": China can
<a href="https://www.theguardian.com/world/2025/mar/02/america-is-going-down-china-can-capitalise-on-damage-caused-by-trump-former-pla-colonel-says">capitalise
on damage caused by Trump</a>, former PLA colonel says.*
</p>
</li>

<p>
 


title: (satire) Zoo hiding animals ahead of Landlord visit
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#4_March_2025_((satire)_Zoo_hiding_animals_ahead_of_Landlord_visit)

url:
https://stallman.org/archives/2025-jan-apr.html#4_March_2025_((satire)_Zoo_hiding_animals_ahead_of_Landlord_visit)

content:
 
<p>

(satire) *City Zoo
<a href="https://theonion.com/city-zoo-scrambles-to-hide-animals-ahead-of-landlord-visit/">Scrambles
To Hide Animals Ahead Of Landlord Visit</a>.*
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Scapegoating_and_persecuting_workers)
title: Scapegoating and persecuting workers
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Scapegoating_and_persecuting_workers)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

*Trump can’t fulfill his promise [to working-class Americans] to [end
inflation], so he's
<a href="https://www.theguardian.com/commentisfree/2025/feb/28/trump-economy-broken-promises">[scapegoating
and persecuting] workers instead</a>.*
</p>
</li>

 


title: Reducing countering of Putin's cracking army
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Reducing_countering_of_Putin's_cracking_army)

url:
https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Reducing_countering_of_Putin's_cracking_army)

content:
 
<p>

The Putin-loving president has ordered US intelligence agencies to
<a href="https://www.theguardian.com/us-news/2025/feb/28/trump-russia-hacking-cyber-security">reduce
the priority of countering</a> Putin's cracking and disinformation
army.
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Texas_measles_outbreak)
title: Texas measles outbreak
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#4_March_2025_(Texas_measles_outbreak)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

Some of the people living near the Texas measles outbreak are
recognizing that it was
<a href="https://www.nbcnews.com/health/health-news/texas-measles-outbreak-grows-parents-vaccinate-rcna193637">foolish
not to vaccinate their children</a>.
</p>
<p>
The people now in the hospital with measles show that we should not
have left an opening for antivax disinformation to spread.
Its spread paves the way for the spread of measles itself.
</p>
</li>

 


title: Wiosenne Kōshūkai Jodo Zielona Góra 24-25.05.2025 - Zapraszamy
feedurl: http://www.kendo.pl/?format=feed&type=rss
guid:
http://www.kendo.pl/?view=article&id=544:wiosenne-koshukai-jodo-zielona-gora-24-25-05-2025-zapraszamy&catid=8

url:
http://www.kendo.pl/?view=article&id=544:wiosenne-koshukai-jodo-zielona-gora-24-25-05-2025-zapraszamy&catid=8

content:
<div class="feed-description"><p><img src="http://kendo.pl/images/jodo/2025WKJ/202502_MS_zielona.png" alt="" width="730" height="382" /></p>
<p>Komisja Jodo Polskiego Związku Kendo wraz z AZS Uniwersytetu Zielonogórskiego i Klubem Senshinkan serdecznie zapraszają na Wiosenne Jodo Kōshūkai. </p>
<p><strong>Główni nauczyciele: </strong></p>
<ul>
<li><span style="font-weight: 400;">Michał Szczepański Sensei - Jodo 6 dan</span></li>
</ul>
<p><strong>Miejsce: </strong></p>
<ul>
<li><span style="font-weight: 400;">AZS Uniwersytet Zielonogórski, </span><span style="font-weight: 400;">Profesora Zygmunta Szafrana 6, 65-516 Zielona Góra</span></li>
</ul>
<p><span style="font-weight: 400;"><strong>Data:</strong> </span></p>
<ul>
<li><span style="font-weight: 400;">24-25.05.2025</span></li>
</ul>
<p><span style="font-weight: 400;">Pełne info PL:</span> <a href="https://bit.ly/2025WKJ_Zielona_infoPL"><span style="font-weight: 400;">https://bit.ly/2025WKJ_Zielona_infoPL</span></a></p>
<p><span style="font-weight: 400;">Pełne info ENG: </span><a href="https://bit.ly/2025WKJ_Zielona_info_ENG"><span style="font-weight: 400;">https://bit.ly/2025WKJ_Zielona_info_ENG</span></a></p>
<p><span style="font-weight: 400;">Formularz zgłoszeniowy: </span><a href="https://bit.ly/2025WKJform"><span style="font-weight: 400;">https://bit.ly/2025WKJform</span></a><span style="font-weight: 400;">  </span></p>
<p> </p></div>


guid: https://wykop.pl/link/7660743/zakaz-palenia-na-balkonach-petycja-do-mz
title: Zakaz palenia na balkonach - petycja do MZ
url: https://wykop.pl/link/7660743/zakaz-palenia-na-balkonach-petycja-do-mz
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/b8d8cd2e2ddb9dce0e710b3a92b2e5d95cca95eed40d986c7b01b1deec18d364,w104h74.jpg"/><br/> W piątek 4 lata temu na Litwie zaczął obowiązywać zakaz palenia papierosów na prywatnych balkonach bloków mieszkalnych oraz na tarasach czy loggiach, jeśli sprzeciwi się temu choć jeden z sąsiadów. Dlaczego w Polsce dalej jak w chlewie? 


title: Bezpieczeństwo lekowe Polski zagrożone. Jesteśmy uzależnieni od importu
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7660651/bezpieczenstwo-lekowe-polski-zagrozone-jestesmy-uzaleznieni-od-importu

url:
https://wykop.pl/link/7660651/bezpieczenstwo-lekowe-polski-zagrozone-jestesmy-uzaleznieni-od-importu

content:
 <img src="https://wykop.pl/cdn/c3397993/8cec735b927b4d8ee25a26ddd64b54f07e006aa18513ca1de2c5bcc2ea48cf10.png"/><br/> Obecnie tylko około 30 proc. sprzedawanych w Polsce leków pochodzi z krajowych fabryk, podczas gdy średnia europejska wynosi aż 70 proc. W efekcie Polska jest zależna od dostaw z zagranicy, zwłaszcza w przypadku bardziej zaawansowanych technologicznie preparatów. 


title: W mieszkaniach komunalnych często mieszkają zamożni Polacy. Bo nikt się tym nie
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7660899/w-mieszkaniach-komunalnych-czesto-mieszkaja-zamozni-polacy-bo-nikt-sie-tym-nie

url:
https://wykop.pl/link/7660899/w-mieszkaniach-komunalnych-czesto-mieszkaja-zamozni-polacy-bo-nikt-sie-tym-nie

content:
 <img src="https://wykop.pl/cdn/c3397993/6c5859b2443fcde99f9e976cf80dc3d23ef3c8fc5127ba24f43078208d04883e,w104h74.jpg"/><br/> Sytuacja materialna najemców mieszkań komunalnych nie jest weryfikowana, a niektórzy z nich powinni otrzymać wypowiedzen 


guid: https://wykop.pl/link/7660559/reklama-leku
title: Reklama leku
url: https://wykop.pl/link/7660559/reklama-leku
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/988732c2ec02057495b251f27d4f876e7950330f1e50317696e5ce4f1c359ef9,w104h74.jpg"/><br/> który pomaga radzić sobie w "trudnych chwilach". 


guid: https://wykop.pl/link/7660567/w-laponii-znaleziono-najstarszy-krzew-na-swiecie-ma-okolo-1650-lat
title: W Laponii znaleziono najstarszy krzew na świecie; ma około 1650 lat
url: https://wykop.pl/link/7660567/w-laponii-znaleziono-najstarszy-krzew-na-swiecie-ma-okolo-1650-lat
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/67c9d022862be652bbfd114f8f798461988cc9f4c9aed66b456ffeb1b36a8c00,w104h74.jpg"/><br/> Znaleziska dokonali badacze z Uniwersytetu w Padwie, którzy odwiedzili lapońską stację badawczą fińskiej uczelni w Utsjoki, przy granicy z Norwegią, będącą najdalej wysuniętą na północ w Europie. Jest to także najstarsza roślina zdrewniała w Europie, której wiek ustalono na podstawie liczenia słojów 


title: Porównanie największych miast świata pod kątem funkcjonowania kolei miejskiej
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7660537/porownanie-najwiekszych-miast-swiata-pod-katem-funkcjonowania-kolei-miejskiej

url:
https://wykop.pl/link/7660537/porownanie-najwiekszych-miast-swiata-pod-katem-funkcjonowania-kolei-miejskiej

content:
 <img src="https://wykop.pl/cdn/c3397993/5d0061ab22914ec0a5866f43272135fb35ea6abd64b90721c72fb5451ed7a449.png"/><br/> Naukowcy z Uniwersytetu w Toronto przeanalizowali funkcjonowanie komunikacji kolejowej w największych miastach na świecie. Mapy głównych linii oraz stacji kolei miejskich nałożyli na mapy gęstości zaludnienia dla 250 największych obszarów miejskich na świecie. 


guid: https://wykop.pl/link/7660669/sprawa-polnordu-trafi-do-sadu-giertych-straszy-dziennikarza
title: Sprawa Polnordu trafi do sądu? Giertych straszy dziennikarza
url: https://wykop.pl/link/7660669/sprawa-polnordu-trafi-do-sadu-giertych-straszy-dziennikarza
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/578ef9087a174f43cc91afcb4ac61652510f2bdab794abe09e0127c6fe8d6393,w104h74.jpg"/><br/> Giertych - Kraskowski ciąg dalszy. Kraskowski cieszy się, że został pozwany, pewnie przedwcześnie, bo Giertych prawie na pewno wystąpi o utajnienie rozprawy. 


title: Sąd orzekł, że nie jest dłużnikiem, mimo to urzędnicy chcą, by płacił. Dlaczego?
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7660921/sad-orzekl-ze-nie-jest-dluznikiem-mimo-to-urzednicy-chca-by-placil-dlaczego

url:
https://wykop.pl/link/7660921/sad-orzekl-ze-nie-jest-dluznikiem-mimo-to-urzednicy-chca-by-placil-dlaczego

content:
 <img src="https://wykop.pl/cdn/c3397993/576831b4ee2bd8e215d49c771adde3ec6ae3f1d6200a1d97b1590cbd1d0db2c2,w104h74.jpg"/><br/> Ma sądowy wyrok, który potwierdza, że nie jest i nigdy nie był dłużnikiem. Jest dowodem jego niewinności. Mimo to urzędnicy MOPS chcą, by płacił. Dlaczego urząd nie respektuje prawomocnych wyroków? pyta pan Paweł. 


title: Dzietność w Australii najniższa w historii. Imigranci nie uratują demografii
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7660495/dzietnosc-w-australii-najnizsza-w-historii-imigranci-nie-uratuja-demografii

url:
https://wykop.pl/link/7660495/dzietnosc-w-australii-najnizsza-w-historii-imigranci-nie-uratuja-demografii

content:
 <img src="https://wykop.pl/cdn/c3397993/da2dfc4f1322dfed2e424195f6946f8426001adc3bb9f8c2743fcef0ca70cd5d.png"/><br/> Niski współczynnik jest wynikiem kryzysu na rynku nieruchomości i słabej polityki prorodzinnej. 


guid: https://wykop.pl/link/7661115/wielka-akcja-w-warszawie-zlikwidowano-56-nielegalnych-salonow-gier
title: Wielka akcja w Warszawie. Zlikwidowano 56 nielegalnych salonów gier
url: https://wykop.pl/link/7661115/wielka-akcja-w-warszawie-zlikwidowano-56-nielegalnych-salonow-gier
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/d07445b2b9e6bf5dcebf190d1677e6670e3a7cf9ecdc08b0a8d9ae318c08cd84,w104h74.jpg"/><br/> Krajowa Administracja Skarbowa zlikwidowała w Warszawie 56 nielegalnych salonów gier i zabezpieczyła 280 automatów. 


title: Umorzone śledztwo ws. wypadku, którego świadkiem była Małgorzata Gersdorf
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7661173/umorzone-sledztwo-ws-wypadku-ktorego-swiadkiem-byla-malgorzata-gersdorf

url:
https://wykop.pl/link/7661173/umorzone-sledztwo-ws-wypadku-ktorego-swiadkiem-byla-malgorzata-gersdorf

content:
 <img src="https://wykop.pl/cdn/c3397993/56b94c9f7fceed7b06a431bf70fc78b6a4cc90162f8f77716d359bc2b402eda4,w104h74.jpg"/><br/> Prokuratura Okręgowa w Suwałkach umorzyła śledztwo w sprawie śmiertelnego wypadku motocyklisty na obwodnicy Zambrowa W powiązanych film ze zdarzenia. Bez kometarza. 


title: Rakieta w kosmosie, szef Instytutu Lotnictwa na aucie. Zastąpił go człowiek PO
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7661111/rakieta-w-kosmosie-szef-instytutu-lotnictwa-na-aucie-zastapil-go-czlowiek-po

url:
https://wykop.pl/link/7661111/rakieta-w-kosmosie-szef-instytutu-lotnictwa-na-aucie-zastapil-go-czlowiek-po

content:
 <img src="https://wykop.pl/cdn/c3397993/dd48ff53645059310538a94941be8ab7a921edd3cec3709a0c1539018a2cf0b2,w104h74.jpg"/><br/> Światowej sławy ekspert musi odejść z Instytutu Lotnictwa. Jednostką prowadzącą badania nad najnowocześniejszymi technologiami wojskowymi, kosmicznymi i nuklearnymi pokieruje członek Platformy Obywatelskiej. Przyznaje, że nie jest ekspertem od technologii, ale zna się na zarządzaniu. 


title: Polska firma zapłaciła 15 mln zł podatku cukrowego nie mając cukru w produktach
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7661157/polska-firma-zaplacila-15-mln-zl-podatku-cukrowego-nie-majac-cukru-w-produktach

url:
https://wykop.pl/link/7661157/polska-firma-zaplacila-15-mln-zl-podatku-cukrowego-nie-majac-cukru-w-produktach

content:
 <img src="https://wykop.pl/cdn/c3397993/10b614691e8ea37bbbfddefc9b6f150f94443daabd014a466ed709fdedec7bdb.png"/><br/> Podatek cukrowy miał uderzać w producentów słodzonych napojów i poprawiać zdrowie Polaków, ale w praktyce okazał się kolejnym absurdem fiskalnym. Jeden z przedstawicieli marki w swoim wpisie wyraził frustrację, podkreślając, że danina ta pochłonęła blisko 10% ich przychodów. 


guid: https://wykop.pl/link/7661365/wojt-kuzyn-soltysa-wprowadzil-cenzure-zakaz-wpisow-o-soltysie
title: Wójt - kuzyn sołtysa wprowadził cenzurę. Zakaz wpisów o sołtysie
url: https://wykop.pl/link/7661365/wojt-kuzyn-soltysa-wprowadzil-cenzure-zakaz-wpisow-o-soltysie
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/1b0bff9a9c0b0949fe5123640811e6af1fb9ce55e1547f455e0e031af16fd748,w104h74.jpg"/><br/> Wójt Gminy Sztutowo Robert Zieliński wprowadził cenzurę. Skasował 500 komentarzy I zablokował nowe na stronie Gminy Sztutowo 


guid: https://wykop.pl/link/7660729/bezcenny-dokument-w-rekach-historykow
title: Bezcenny dokument w rękach historyków
url: https://wykop.pl/link/7660729/bezcenny-dokument-w-rekach-historykow
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/6dd3f709dcacf5523413ee9fab5c2ccebc9b015089ea3782cee33ad9f810662e,w104h74.jpg"/><br/> "Bardzo słaba widoczność", "Zmiana kursu o 270 stopni", "Zauważono ląd przez peryskop" czy "przyjęto poprawkę na prąd i 


guid: https://wykop.pl/link/7661165/blyskawiczna-odpowiedz-chin-po-decyzji-usa-w-sprawie-cel
title: Błyskawiczna odpowiedź Chin po decyzji USA w sprawie ceł
url: https://wykop.pl/link/7661165/blyskawiczna-odpowiedz-chin-po-decyzji-usa-w-sprawie-cel
feedurl: https://wykop.pl/rss
content:
 Jest stanowcza odpowiedź Chin na obowiązujące od wtorku 10-proc. taryfy USA na towary z tego kraju. Chińskie ministerstwo finansów zapowiedziało nałożenie od 10 marca ceł w wysokości od 10 do 15 proc. na import produktów rolno-spożywczych ze Stanów Zjednoczonych. 


guid: https://wykop.pl/link/7660829/dawno-nie-bylo-tak-zle-jedna-oferta-na-15-bezrobotnych
title: Dawno nie było tak źle. Jedna oferta na 15 bezrobotnych
url: https://wykop.pl/link/7660829/dawno-nie-bylo-tak-zle-jedna-oferta-na-15-bezrobotnych
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/d7a21ed668975e0d29e9ff332ce3586a8e31bb943bf2a2d50f430f2505337192,w104h74.jpg"/><br/> Pierwszy miesiąc tego roku zakończył się liczbą ofert pracy dla bezrobotnych na poziomie 54 tys. Ostatnio było ich mniej 10 lat temu - informuje w poniedziałkowym wydaniu "Dziennik Gazeta Prawna". 


guid: https://wykop.pl/link/7661483/dlaczego-zona-bossa-x7-nie-siedzi-w-pace-razem-z-mezem
title: Dlaczego żona Bossa X7 nie siedzi w pace razem z mężem?
url: https://wykop.pl/link/7661483/dlaczego-zona-bossa-x7-nie-siedzi-w-pace-razem-z-mezem
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/915d70efb9739ffd1821f5ef80ddffcaa80da3882ec403afe0f07262a7fd3db9,w104h74.jpg"/><br/> Jeżeli jest tutaj jakiś prawnik, to mam następujące pytanie dotyczące hipotetycznej sytuacji: Czy prowadzenie pojazdu i zajechanie nim drogi ofierze, aby druga osoba mogła wyskoczyć i dokonać pobicia nie jest współudziałem w popełnieniu przestępstwa? 


title: "Coś takiego, jak Izera, nie istnieje". Ruszyły grupowe zwolnienia w Electromobi
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7661329/cos-takiego-jak-izera-nie-istnieje-ruszyly-grupowe-zwolnienia-w-electromobi

url:
https://wykop.pl/link/7661329/cos-takiego-jak-izera-nie-istnieje-ruszyly-grupowe-zwolnienia-w-electromobi

content:
 <img src="https://wykop.pl/cdn/c3397993/b355a3231fd8da8c59739f6a30becadafd551bb34501b7811361b40cebfefb20.webp"/><br/> Osiem lat wydawania pieniędzy. ElectroMobility Poland zostało założone w 2016 roku przez cztery państwowe firmy energetyczne - Energę, Eneę, Tauron oraz PGE, które wniosły do niej 70 mln zł, obejmujać po 25 proc. udziałów. Już rok później miał pojawić się prototyp polskiego auta elektrycznego. 


title: Ma 10 lat i słyszy, że jest gruba. A potem na obiad dostaje kotleta z sosem
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7661179/ma-10-lat-i-slyszy-ze-jest-gruba-a-potem-na-obiad-dostaje-kotleta-z-sosem

url:
https://wykop.pl/link/7661179/ma-10-lat-i-slyszy-ze-jest-gruba-a-potem-na-obiad-dostaje-kotleta-z-sosem

content:
 <img src="https://wykop.pl/cdn/c3397993/44121ea037646413a3b7987ab53422188ef3c5f64faf9c20be21631f441d12c2,w104h74.jpg"/><br/> Miałam 14-letniego pacjenta, który ważył 180 kg. Chłopak bardzo lubił keczup. Zjadał całe opakowanie na raz 


guid: https://wykop.pl/link/7661085/regulacja-szybkosci-wiazania-betonu-za-pomoca-domieszek
title: Regulacja szybkości wiązania betonu za pomocą domieszek
url: https://wykop.pl/link/7661085/regulacja-szybkosci-wiazania-betonu-za-pomoca-domieszek
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/dac3db7eca83ee1d6821759df404e652dd205b5f09df9a5eebed89efcddc5289,w104h74.jpg"/><br/> Spośród związków organicznych szczególną skutecznością w opóźnianiu wiązania betonu charakteryzują się węglowodany glukoza, sacharoza, skrobia, celuloza i ich pochodne; zawartość 0,05% cukru w stosunku do masy cementu umożliwia opóźnienie wiązania o ok. 4 godz. 


title: Kolejki do specjalistów są ogromne. To nie liczba lekarzy jest problemem
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7661265/kolejki-do-specjalistow-sa-ogromne-to-nie-liczba-lekarzy-jest-problemem

url:
https://wykop.pl/link/7661265/kolejki-do-specjalistow-sa-ogromne-to-nie-liczba-lekarzy-jest-problemem

content:
 <img src="https://wykop.pl/cdn/c3397993/570ee204951bba1e509209ae255c87f191db35f522222aad75015db1b6b8c578,w104h74.jpg"/><br/> W Polsce od lat mówi się o niedoborze lekarzy oraz innych pracowników systemu ochrony zdrowia. Jednakże liczba lekarzy w Polsce jedynie nieznacznie odstaje od średniej dla państw Europy czy OECD. Jak się okazuje, problemem w przypadku medyków nie jest liczebność, a dystrybucja! 


title: Efekt ceł Trumpa: TSMC zainwestuje 100mld $ w fabryki półprzewodników w USA
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7660971/efekt-cel-trumpa-tsmc-zainwestuje-100mld-w-fabryki-polprzewodnikow-w-usa

url:
https://wykop.pl/link/7660971/efekt-cel-trumpa-tsmc-zainwestuje-100mld-w-fabryki-polprzewodnikow-w-usa

content:
 <img src="https://wykop.pl/cdn/c3397993/fb0d6632e8576ecd11be04d6a638614ccc6053b9d81b7c3c5de4a5f9babc372b,w104h74.jpg"/><br/> W 2022 administracja Biden musiała zapłacić 10% wartości inwestycji, żeby Tajwańczycy chcieli zainwestować 65mld $. Teraz wystarczyły 25% cła jako zachęta do wyłożenia 100mld. 


guid: https://wykop.pl/link/7661315/skarbowka-zlozyla-113-zawiadomien-do-prokuratury-na-ponad-92-mld-zl
title: Skarbówka złożyła 113 zawiadomień do prokuratury na ponad 92 mld zł
url: https://wykop.pl/link/7661315/skarbowka-zlozyla-113-zawiadomien-do-prokuratury-na-ponad-92-mld-zl
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/1c8d595282df307c2abb070b994e65a828066a9331794a1f92b599c6eaabdbd6,w104h74.jpg"/><br/> Zawiadomienia dotyczą nieprawidłowo wydanych pieniędzy ze środków publicznych za rządów PiS, z czego 87 mld dotyczy zawiadomienia wykorzystania dochodów z ETS 


guid: https://wykop.pl/link/7661599/napadli-nieletniego-bo-nagrywal-jak-jezdza-po-chodniku
title: Napadli nieletniego bo nagrywał jak jeżdżą po chodniku
url: https://wykop.pl/link/7661599/napadli-nieletniego-bo-nagrywal-jak-jezdza-po-chodniku
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/30891964744bd96a35c211e17f35f4547ef872a77b455264d8e071a41e676e17,w104h74.jpg"/><br/> Film został nagrany 2 marca o 20:30 gdzie ja tam stałem pod kościołem i nagrywałem samochody po mszy gdzie ich nawet nie blokowałem. Policja na miejscu nam powiedziała że przyjdzie coś od wydziału dla nieletnich. 


title: Tusz do tatuażu może zwiększać ryzyko zachorowania na raka skóry i chłoniaka
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7661401/tusz-do-tatuazu-moze-zwiekszac-ryzyko-zachorowania-na-raka-skory-i-chloniaka

url:
https://wykop.pl/link/7661401/tusz-do-tatuazu-moze-zwiekszac-ryzyko-zachorowania-na-raka-skory-i-chloniaka

content:
 <img src="https://wykop.pl/cdn/c3397993/9c40a905e842c89e02bf0685a6f91b96e5bf05183f281eaf03c632a443304a35,w104h74.jpg"/><br/> Badania wykazały, że cząstki tuszu nie pozostają jedynie w skórze, lecz migrują do węzłów chłonnych, gdzie mogą powodować ich kumulację. [źródło EN] 


guid: https://wykop.pl/link/7661161/odpowiedz-na-kryzys-jajeczny-rosnie-zainteresowanie-wypozyczeniem-kur
title: Odpowiedź na kryzys jajeczny. Rośnie zainteresowanie wypożyczeniem kur
url: https://wykop.pl/link/7661161/odpowiedz-na-kryzys-jajeczny-rosnie-zainteresowanie-wypozyczeniem-kur
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/9518c04c2e3538f09f31e30fe5af9a3cd801f201ee51cef9f140f18d9ae9613b,w104h74.jpg"/><br/> Ceny jaj w Stanach Zjednoczonych rosną w szybkim tempie. To powoduje, że część osób szuka alternatywy dla kupowania jaj w sklepach i zaczyna myśleć o własnym bezpieczeństwie żywnościowym. Rośnie zainteresowanie takimi usługami jak wypożyczenie kur. 


guid: https://wykop.pl/link/7661117/video-30s-estonski-kierowca-na-szprycy-spieszy-sie-do-rodziny
title: [VIDEO - 30s] Estoński Kierowca na szprycy, spieszy się do rodziny
url: https://wykop.pl/link/7661117/video-30s-estonski-kierowca-na-szprycy-spieszy-sie-do-rodziny
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/364d9a32eb2aff2c4a5fa00d217c8c49f9f388efd0536a596146125d296c601b,w104h74.jpg"/><br/> Estoński KieroFca na szprycy . Trasa Mrągowo/Ostrołeka 


guid: https://wykop.pl/link/7661539/kanal-zero-zdecydowanie-za-bardzo-kocha-elona-muska
title: Kanał Zero zdecydowanie za bardzo kocha Elona Muska
url: https://wykop.pl/link/7661539/kanal-zero-zdecydowanie-za-bardzo-kocha-elona-muska
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 <img src="https://wykop.pl/cdn/c3397993/261cac7d32d013337c9176d452d8038b4abfb9eb1d44060cb55185cc1ec17eac,w104h74.jpg"/><br/> Na Kanale Zero ukazał się fatalny "film dokumentalny" o Elonie Musku - jednostronny, pełen przemilczeń oraz patosu i z fatalnie dobranymi "ekspertami" 


title: 78 proc. pielęgniarek i położnych było ofiarą agresji w pracy. "Problem systemow
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guid:
https://wykop.pl/link/7661487/78-proc-pielegniarek-i-poloznych-bylo-ofiara-agresji-w-pracy-problem-systemow

url:
https://wykop.pl/link/7661487/78-proc-pielegniarek-i-poloznych-bylo-ofiara-agresji-w-pracy-problem-systemow

content:
 <img src="https://wykop.pl/cdn/c3397993/ebe8df1d116b6e369e8e93f5ab8870e27e5d295101bb12bf4230e2f2f572991c,w104h74.jpg"/><br/> Aż 78 proc. pielęgniarek i położnych było ofiarą agresji w pracy 


guid: https://wykop.pl/link/7661647/petycja-wypowiedzmy-uklad-o-nierozprzestrzenianiu-broni-jadrowej
title: PETYCJA: Wypowiedzmy układ o nierozprzestrzenianiu broni jądrowej!
url: https://wykop.pl/link/7661647/petycja-wypowiedzmy-uklad-o-nierozprzestrzenianiu-broni-jadrowej
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/2b93cc44adc00307da7d6dbf51b4d691a7215467edb7efd2b64f9b78a5407216.png"/><br/> Polska będzie bezpieczna tylko silna! Bez broni jądrowej nie zapewnimy sobie bezpieczeństwa. 


guid: https://wykop.pl/link/7661463/zielony-skwer-powstal-na-ursynowie-mieszkancy-zaskoczeni
title: "Zielony Skwer" powstał na Ursynowie, mieszkańcy zaskoczeni
url: https://wykop.pl/link/7661463/zielony-skwer-powstal-na-ursynowie-mieszkancy-zaskoczeni
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content:
 <img src="https://wykop.pl/cdn/c3397993/9103b033e566ce44a6197532963d6ab51bb19a816017037d6e06e8c7d36b5919,w104h74.jpg"/><br/> Zielone skwery na Ursynowie obejmujące ursynowskie skrzyżowania ul. Gandhi z ul. Dereniową oraz ul. Stryjeńskich z ul. Belgradzką kosztowały 330 tys. zł. 


guid: https://wykop.pl/link/7661027/pol-roku-po-powodzi-co-zrobily-wladze-sprawdzamy
title: Pół roku po powodzi! Co zrobiły władze? Sprawdzamy!
url: https://wykop.pl/link/7661027/pol-roku-po-powodzi-co-zrobily-wladze-sprawdzamy
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content:
 <img src="https://wykop.pl/cdn/c3397993/24a06e824835f5c79fbf25799c1f0041cead442ec07aafaa495cc8e9c10b3f80,w104h74.jpg"/><br/> Film przedstawia sytuację pół roku po powodzi, analizujemy działania władz oraz wpływ katastrofy na lokalną społeczność. Sprawdzamy, czy zbiorniki przeciwpowodziowe spełniły swoją rolę oraz jak zareagowały służby i władze w krytycznym momencie. Podejmujemy również temat rozkradania zalanych terenów 


title: Sołtys Kątów Rybackich złożył dymisję. Wybory nowego sołtysa 12. marca 2025
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https://wykop.pl/link/7661627/soltys-katow-rybackich-zlozyl-dymisje-wybory-nowego-soltysa-12-marca-2025

url:
https://wykop.pl/link/7661627/soltys-katow-rybackich-zlozyl-dymisje-wybory-nowego-soltysa-12-marca-2025

content:
 <img src="https://wykop.pl/cdn/c3397993/c53654144b3e6082a6fa103dd096787bb27bfa57a8371e9f59aea82924b4bc8e.png"/><br/> Dziś przed godziną 15.00 do Urzędu Gminy Sztutowo wpłynęła pisemna dymisja sołtysa Kątów Rybackich znanego z ostatniego zaatakowania kierowcy. 


guid: https://wykop.pl/link/7661077/perfekcyjny-wszechswiat-jakim-cudem-istniejemy-pop-science
title: Perfekcyjny wszechświat. Jakim cudem istniejemy? -[POP Science]
url: https://wykop.pl/link/7661077/perfekcyjny-wszechswiat-jakim-cudem-istniejemy-pop-science
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content:
 <img src="https://wykop.pl/cdn/c3397993/d43466ea64e0ede8b8c7f3fa1e05a45f1805ab222b976330654ad18e5530df44,w104h74.jpg"/><br/> Wszechświat wydaje się niezwykle precyzyjnie dostrojony do istnienia życia gdyby fundamentalne stałe fizyczne były inne, gwiazdy, planety i my sami moglibyśmy nigdy nie powstać. Istnieją dwie główne interpretacje tego fenomenu: albo Wszechświat jest taki, bo inaczej nie moglibyśmy w nim istnieć, a 


title: Sondaż: dla 73% Francuzów, Stany Zjednoczone nie są już sojusznikiem Francji
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guid:
https://wykop.pl/link/7661695/sondaz-dla-73-francuzow-stany-zjednoczone-nie-sa-juz-sojusznikiem-francji

url:
https://wykop.pl/link/7661695/sondaz-dla-73-francuzow-stany-zjednoczone-nie-sa-juz-sojusznikiem-francji

content:
 <img src="https://wykop.pl/cdn/c3397993/b10ab65921c3767e20f70e03474b15edfd045042985635a81b3cb13bec7972d1,w104h74.jpg"/><br/> 73% Francuzów uważa dziś, że Stany Zjednoczone nie są już sojusznikiem Francji, zgodnie z nowym sondażem L'Opinion en direct, przeprowadzonym przez instytut Elabe dla BFMTV i opublikowanym we wtorek, 4 marca. 76% respondentów obawia się rozprzestrzenienia konfliktu zbrojnego poza granice Ukrainy, 


guid: https://wykop.pl/link/7661551/zrzutka-na-wsparcie-finansowe-w-opiece-nad-mama
title: Zrzutka: Na wsparcie finansowe w opiece nad Mamą.
url: https://wykop.pl/link/7661551/zrzutka-na-wsparcie-finansowe-w-opiece-nad-mama
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/79aeed86212fb10ba1b78558039d9aa7592da7a1f9016efbfe68fb465ff24331,w104h74.jpg"/><br/> Jest mi bardzo niezręcznie gdyż ostatnio bardzo dużo takich próśb się pojawiło na wykopie i z przykrością czytam jak ktoś pisze teksty typu wyżebrz.pl, gdyż bardzo to odczuwam. Niestety musze się do Was ponownie zwrócić z prośbą. wpis na mirko: https://wykop.pl/wpis/80411661/ 


guid: https://wykop.pl/link/7661467/w-warszawie-otwiera-sie-rosyjski-market-mere
title: W Warszawie otwiera się rosyjski market MERE
url: https://wykop.pl/link/7661467/w-warszawie-otwiera-sie-rosyjski-market-mere
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/7e0a9478eef89696eb8d2f59e74739be9f4eb80379fdcc9690c65b15d5cea4b6,w104h74.jpg"/><br/> Mirki, w Warszawie otwiera się hard market MERE ze spożywką, który już raz z powodu wojny wycofał się z Polski. Kapitał powiązany z oligarchą. Nawet na wózkach jest logo MERE. Co o tym myślicie? 


guid: https://wykop.pl/link/7661691/trak-tasmowy-z-pelna-hydraulika-zbudowany-od-a-do-z-przez-mojego-tate
title: Trak taśmowy z pełną hydrauliką zbudowany od A do Z przez mojego tatę
url: https://wykop.pl/link/7661691/trak-tasmowy-z-pelna-hydraulika-zbudowany-od-a-do-z-przez-mojego-tate
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content:
 <img src="https://wykop.pl/cdn/c3397993/6a8ff7286e27435e690db6479d7783704f23ead55fbb75867e4c9167d361f761,w104h74.jpg"/><br/> Film prezentuje trak taśmowy zbudowany przez mojego tatę, który prowadzi 1-osobową działalność. Przez 20 lat zbudował blisko 80 maszyn dla tartaków w całej Polsce ani razu się nie ogłaszając (tylko marketing szeptany). Od jakiegoś czasu pomagam w budowie i chcę się pochwalić debiutem w internecie :) 


guid: https://wykop.pl/link/7661629/zderzenie-tramwajow-w-centrum-wroclawia-7-osob-poszkodowanych
title: "Zderzenie tramwajów w centrum Wrocławia. 7 osób poszkodowanych"
url: https://wykop.pl/link/7661629/zderzenie-tramwajow-w-centrum-wroclawia-7-osob-poszkodowanych
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/ffdd5776247fbb4a8996fba88c143d4443a452042dcb036ac7bd3d5427b719ba,w104h74.jpg"/><br/> "7 osób zostało poszkodowanych po zdarzeniu dwóch tramwajów na pl. Dominikańskim we Wrocławiu. Na miejsce wysłano 6 zastępów straży - poinformował oficer prasowy Komendy Miejskiej PSP Damian Górka." 


guid: https://wykop.pl/link/7661431/pijany-policjant-rozbijal-szyby-na-klatkach-w-warszawie
title: Pijany policjant rozbijał szyby na klatkach w Warszawie
url: https://wykop.pl/link/7661431/pijany-policjant-rozbijal-szyby-na-klatkach-w-warszawie
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/3405ea5d267cd06f2630d18cc5beb5417187df385d52b55b85d13e92b1d463ef,w104h74.jpg"/><br/> Około godziny 1 w nocy policjanci ze Śródmieścia (Warszawa) interweniowali wobec pijanego mężczyzny na ulicy Tamka, który miał uszkodzić szyby na klatkach. Okazał się policjantem na stażu. Został zatrzymany. 


guid: https://wykop.pl/link/7661705/popularny-ostanio-soltysowy-boss-i-jego-kolejna-ofiara
title: Popularny ostanio sołtysowy boss i jego kolejna ofiara
url: https://wykop.pl/link/7661705/popularny-ostanio-soltysowy-boss-i-jego-kolejna-ofiara
feedurl: https://wykop.pl/rss
content:
 Ktoś został pobity tylko za to, że wystawił bosowi negatywną opinię w internecie. W powiązanych jest jego biznes warto zostawić tam odpowiedni komentarz :) A samo wideo warto przekazać dalej naprzyład miejscowej Powiatowej Policji w Nowym Dworze Gdańskim. Kariera sołtysa szybko się skończy. 


guid: https://wykop.pl/link/7661515/polowa-polakow-chce-zrezygnowac-z-nfz-sluzba-publiczna-traci-zaufanie
title: Połowa Polaków chce zrezygnować z NFZ. Służba publiczna traci zaufanie
url: https://wykop.pl/link/7661515/polowa-polakow-chce-zrezygnowac-z-nfz-sluzba-publiczna-traci-zaufanie
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/5bd36c21dea471f7d3cb977961e4a74a92f417349274c53059fd2097c13770b3,w104h74.jpg"/><br/> Polacy coraz częściej leczą się prywatnie i kwestionują sens obowiązkowej składki zdrowotnej. Z najnowszego badania Enel 


guid: https://wykop.pl/link/7661791/w-holandii-odnaleziono-obraz-brueghla-skradziony-w-polsce-w-1974-roku
title: W Holandii odnaleziono obraz Brueghla skradziony w Polsce w 1974 roku
url: https://wykop.pl/link/7661791/w-holandii-odnaleziono-obraz-brueghla-skradziony-w-polsce-w-1974-roku
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content:
 <img src="https://wykop.pl/cdn/c3397993/cd2eedbad51b2c9a8839f645fc14ce0eb3d86f4ddbadb04b939ef9a5d0c8fca5,w104h74.jpg"/><br/> Holenderski detektyw sztuki Artur Brand ma nadzieję, że obraz Pietera Brueghla Młodszego Kobieta niosąca żar wkrótce wroci do Polski 


guid: https://wykop.pl/link/7661313/akcja-deportacja-w-tychach-zatrzymano-kolumbijczykow
title: Akcja deportacja w Tychach. Zatrzymano Kolumbijczyków
url: https://wykop.pl/link/7661313/akcja-deportacja-w-tychach-zatrzymano-kolumbijczykow
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/7ba70082dcd982cfcc1d091ca3af639aa3873a1744ff751b0d0affc8935204c4,w104h74.jpg"/><br/> Nielegalni imigranci w Tychach zatrzymani. I o to chodzi :) 


guid: https://wykop.pl/link/7661921/soltysowy-boss-w-areszcie-grozi-mu-do-5-lat-wiezienia
title: Sołtysowy boss w areszcie, grozi mu do 5 lat wiezienia!
url: https://wykop.pl/link/7661921/soltysowy-boss-w-areszcie-grozi-mu-do-5-lat-wiezienia
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/cf2140d0a100d5ca53efc9d7eafaf5a434f8c343f06a3286f834160043c4a4e3,w104h74.jpg"/><br/> 38-letni "Sołtys" w policyjnym areszcie! Dziś lub najpóźniej jutro usłyszy zarzuty trwają intensywne czynności śledcze. Policja analizuje materiał dowodowy i nagrania, by ustalić szczegóły sprawy. Więcej informacji przekazuje mł. asp. Karolina Figiel z Komenda Powiatowa Policji w Nowym Dworze Gd. 


guid: https://wykop.pl/link/7661913/85-lat-temu-w-zsrr-podjeto-decyzje-o-wymordowaniu-polskich-oficerow
title: 85 lat temu w ZSRR podjęto decyzję o wymordowaniu polskich oficerów
url: https://wykop.pl/link/7661913/85-lat-temu-w-zsrr-podjeto-decyzje-o-wymordowaniu-polskich-oficerow
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/0831daf53c28c4bd73252f9624db557cf0b41ecef72092cacb39fc0a092237fc,w104h74.jpg"/><br/> 5 marca 1940 roku Biuro Polityczne Komitetu Centralnego Komunistycznej Partii Związku Radzieckiego podjęło decyzję o wymordowaniu polskich jeńców wojennych (tzw. decyzja katyńska). Na jej podstawie rozstrzelano wiosną 1940 roku prawie 22 tys. obywateli Polski... 


guid: https://wykop.pl/link/7661689/ladowanie-firefly-blue-ghost-na-ksiezycu
title: Lądowanie Firefly Blue Ghost na Księżycu
url: https://wykop.pl/link/7661689/ladowanie-firefly-blue-ghost-na-ksiezycu
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/9454e3d39ca3cdc6b3423832e0c12440acc6b021046bf755cc13e6170e0d293b,w104h74.jpg"/><br/> Zobacz jak Firefly Aerospace po raz pierwszy ląduje na powierzchni Księżyca za pomocą swojego lądownika księżycowego Blue Ghost 


guid: https://wykop.pl/link/7661853/brother-oskarzony-o-blokowanie-zamiennikow-tuszow-i-tonerow
title: Brother oskarżony o blokowanie zamienników tuszów i tonerów
url: https://wykop.pl/link/7661853/brother-oskarzony-o-blokowanie-zamiennikow-tuszow-i-tonerow
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/caac45d5c7d0091af4c110a2250404c141fcf4d8a8b13ae0c19eef3466661b87,w104h74.jpg"/><br/> Czyżby to był już koniec taniego drukowania w domowym zaciszu? Na naszych oczach upada ostatni bastion, który nie walczył z zamiennikami. 


guid: https://wykop.pl/link/7661547/lepiej-sprawdz-czy-ktos-nie-kupil-samochodu-na-twoje-dane
title: Lepiej sprawdź, czy ktoś nie kupił samochodu na Twoje dane
url: https://wykop.pl/link/7661547/lepiej-sprawdz-czy-ktos-nie-kupil-samochodu-na-twoje-dane
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/ce684e908e357c7826b39bf5a8c2426c65808bfd71eb6594528012be835c8ba7.png"/><br/> Kradzież tożsamości to nie tylko wzięcie legendarnej pożyczki na Twoje dane. To może być np. kupienie samochodu na Twoje dane. O tym, że masz samochód dowiesz się dopiero z wezwania do zapłaty na prawie 10 000 złotych. Za co? Za brak opłacenia ubezpieczenia OC 


guid: https://math.stackexchange.com/q/5039392
title: ¿Can we show the integral absolute value inequality using Riemann definition?
author: Miguel Forteza
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5039392/can-we-show-the-integral-absolute-value-inequality-using-riemann-definition

content:
            <p>I want to show that if a function <span class="math-container">$f$</span> is Riemman integrable then <span class="math-container">$\displaystyle\int_a^b|f|$</span> is integrable and that
<span class="math-container">$$\left|\int_a^bf\:\right|\leq \int_a^b|f|$$</span>
with the &quot;original&quot; Riemann definition; i.e. that <span class="math-container">$f:[a,b]\longrightarrow \mathbb{R}$</span> is Riemann integrable if for every <span class="math-container">$\varepsilon&gt;0$</span> there exists a <span class="math-container">$\delta&gt;0$</span> such that for every tagged partition <span class="math-container">$\mathcal{P}^*$</span> of <span class="math-container">$[a,b]$</span> with <span class="math-container">$||\mathcal{P}^*||$</span> we have that
<span class="math-container">$$\left|S(f,\mathcal{P}^*)-\int_a^bf\right|&lt;\varepsilon$$</span> where <span class="math-container">$S(f,\mathcal{P}^*)$</span> is the Riemann sum of <span class="math-container">$f$</span> over <span class="math-container">$\mathcal{P}^*$</span>; in other words if <span class="math-container">$x_i$</span> are the partition points and <span class="math-container">$t_i$</span> the tags
<span class="math-container">$$S(f,\mathcal{P^*})=\sum_{i=1}^nf(t_i)(x_i-x_{i-1})$$</span></p>
<p>My biggest problem is to show that <span class="math-container">$|f|$</span> is Rieamann integrable and I think the actual issue with that is that we don't know the value of <span class="math-container">$\displaystyle\int_a^b|f|$</span>.</p>
<p>For more reference on definitions, please ask or search in <em>Introduction to Real Analysis</em> of Bartle and Sherbert. Any help is appreciated.</p>

        


guid: https://math.stackexchange.com/q/5040864
title: Euler-Maclaurin formula as an asymptotic series
author: Latrace
url: https://math.stackexchange.com/questions/5040864/euler-maclaurin-formula-as-an-asymptotic-series
feedurl: https://math.stackexchange.com/feeds
content:
            <p>One way to express the Euler-Maclaurin formula is (<span class="math-container">$a&lt;b$</span> and <span class="math-container">$L \geq 1$</span> are integers, and let us assume that <span class="math-container">$f$</span> is at least <span class="math-container">$2L$</span> times continuously differentiable on <span class="math-container">$[a,b]$</span>)
<span class="math-container">\begin{equation} \label{ELformula2}
	\sum_{n=a}^b f(n) = \int_a^b \mathrm{d}x \, f(x) + \frac{f(a)+f(b)}{2} + \sum_{k=1}^L \frac{B_{2k}}{(2k)!} \left( f^{(2k-1)}(b) - f^{(2k-1)}(a) \right) - R_{2L}(a,b) \,,
\end{equation}</span>
where
<span class="math-container">\begin{equation}
	R_{2L}(a,b) = \frac{1}{(2L)!} \int_a^b \mathrm{d}x \, f^{(2L)}(x) P_{2L}(x) \,.
\end{equation}</span>
Here <span class="math-container">$P_\ell(x) \equiv B_\ell(x - \lfloor x \rfloor)$</span> are periodicized versions of the Bernoulli polynomials, themselves recursively defined on <span class="math-container">$[0,1]$</span> by <span class="math-container">$B_0(x) = 1$</span> and, for <span class="math-container">$\ell \geq 0$</span>, <span class="math-container">$B_{\ell+1}'(x) = (\ell+1) B_\ell(x)$</span>, <span class="math-container">$\int_0^1 \mathrm{d}x \, B_\ell(x) = 0$</span>. Finally <span class="math-container">$B_k \equiv B_k(0)$</span>. The proof of the identity is <a href="https://en.wikipedia.org/wiki/Euler%E2%80%93Maclaurin_formula" rel="nofollow noreferrer">elementary</a>.</p>
<p>I'd like to use the identity to write down an asymptotic series expansion for a convergent infinite sum. Define <span class="math-container">$S_N \equiv \sum_{n=1}^N f(n)$</span> and assume <span class="math-container">$S_\infty \equiv \lim_{N \to \infty} S_N &lt; \infty$</span>. Assume also that <span class="math-container">$\int_1^\infty \mathrm{d}x \, f(x) &lt; \infty$</span>. In this case the EL formula can be written as
<span class="math-container">\begin{equation} \label{ELformula4}
	S_N = - \int_{N}^\infty \mathrm{d}x \, f(x) + \frac{f(N)}{2} + \sum_{k=1}^L \frac{B_{2k}}{(2k)!} f^{(2k-1)}(N) + C(L) - R_{2L}(1,N) \,,
\end{equation}</span>
where
<span class="math-container">\begin{equation}
 C(L) = \int_1^\infty \mathrm{d}x \, f(x) + \frac{f(1)}{2} - \sum_{k=1}^L \frac{B_{2k}}{(2k)!} f^{(2k-1)}(1)
\end{equation}</span>
is an <span class="math-container">$N$</span>-independent function. Now, as <span class="math-container">$N \to \infty$</span>, the first 3 terms in our formula for <span class="math-container">$S_N$</span> tend to zero (maybe we should make some assumptions on the derivatives of <span class="math-container">$f$</span>, like <span class="math-container">$f^{(i+1)}(x) = o(f^{(i)}(x))$</span> as <span class="math-container">$x \to \infty$</span>, for this and what follows to hold). So
<span class="math-container">\begin{equation}
 C(L) - \lim_{N \to \infty} R_{2L}(1,N) = S_\infty \,.
\end{equation}</span>
To make the EL formula a powerful tool to approximate infinite sums, I would hope the following much stronger statement is true:
<span class="math-container">\begin{equation}
 C(L) - R_{2L}(1,N) \overset{?}{=} S_\infty + \mathcal{O}\left( f^{(2L+1)}(N) \right) \quad \text{as } N \to \infty \,.
\end{equation}</span>
If that's the case, the EL formula becomes
<span class="math-container">\begin{equation}
 S_\infty \overset{?}{=} S_N + \int_{N}^\infty \mathrm{d}x \, f(x) - \frac{f(N)}{2} - \sum_{k=1}^L \frac{B_{2k}}{(2k)!} f^{(2k-1)}(N) + \mathcal{O}\left( f^{(2L+1)}(N) \right) \quad \text{as } N \to \infty \,.
\end{equation}</span>
This would be a fantastic formula to approximate infinite convergent sums (especially those that converge slowly) by computing only relatively few terms, given that one can compute the integral <span class="math-container">$\int f$</span> efficiently: one computes <span class="math-container">$S_N$</span> for whatever <span class="math-container">$N$</span> is feasible, then adds relatively few corrections (the optimal amount <span class="math-container">$2+L$</span> depends on <span class="math-container">$N$</span>, as usual in an asymptotic series) to obtain a much more precise approximation to <span class="math-container">$S_\infty$</span>.</p>
<p>The above works for Euler's famous <span class="math-container">$f(x) = 1/x^2$</span> case. The question is whether it is true more generally.</p>

        


guid: https://math.stackexchange.com/q/5041120
title: Column Rank and Column Orthogonality for Space-Time Block Codes with $ \pm 1$ Entries?
author: Tuong Nguyen Minh
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5041120/column-rank-and-column-orthogonality-for-space-time-block-codes-with-pm-1-en

content:
            <p>I am a network engineer who does not have mathematical rigor and is currently working with matrices that have entries <span class="math-container">$\pm 1$</span> for space-time block code applications. I would like to understand certain properties of a specific matrix structure.</p>
<h2>Matrix Definition</h2>
<p>Let <span class="math-container">$n$</span> range from <span class="math-container">$2$</span> to <span class="math-container">$N$</span>, and consider a matrix <span class="math-container">$A$</span> with <span class="math-container">$2^{N-1}$</span> rows. Each row corresponds to a unique binary assignment <span class="math-container">$(a_2, a_3, \ldots, a_N)$</span> where each <span class="math-container">$a_i \in \{0,1\}$</span>.</p>
<p>Specifically, the matrix <span class="math-container">$A$</span> is constructed as follows:</p>
<ul>
<li>The first row corresponds to <span class="math-container">$(a_2, a_3, \ldots, a_N) = (0, 0, \ldots, 0)$</span></li>
<li>The last row corresponds to <span class="math-container">$(a_2, a_3, \ldots, a_N) = (1, 1, \ldots, 1)$</span></li>
<li>Each entry in the matrix is given by:
<ul>
<li>First column and first row is all <span class="math-container">$1$</span>'s</li>
<li>For column <span class="math-container">$j$</span> (where <span class="math-container">$j \geq 2$</span>), the entry is <span class="math-container">$(-1)^{a_j}$</span></li>
</ul>
</li>
</ul>
<p>Mathematically, the matrix has the form:</p>
<p><span class="math-container">$$A = \begin{bmatrix}
1 &amp; (-1)^{a_2} &amp; (-1)^{a_3} &amp; \cdots &amp; (-1)^{a_N} \\
1 &amp; (-1)^{a_2} &amp; (-1)^{a_3} &amp; \cdots &amp; (-1)^{a_N} \\
\vdots &amp; \vdots &amp; \vdots &amp; \ddots &amp; \vdots \\
1 &amp; (-1)^{a_2} &amp; (-1)^{a_3} &amp; \cdots &amp; (-1)^{a_N}
\end{bmatrix}$$</span></p>
<p>With <span class="math-container">$N=2$</span>, the matrix takes the form:</p>
<p><span class="math-container">$$A_2 = \left[ {\begin{array}{*{20}{c}}
1&amp;1\\
1&amp;{ - 1}
\end{array}} \right]$$</span></p>
<p>For <span class="math-container">$N=3$</span>, the matrix has the form:
<span class="math-container">$$
A = \begin{bmatrix}
1 &amp; 1 &amp; 1 \\
1 &amp; -1 &amp; -1 \\
1 &amp; 1 &amp; -1 \\
1 &amp; -1 &amp; 1 
\end{bmatrix}
$$</span></p>
<p>With <span class="math-container">$N=4$</span>, the matrix takes the form:</p>
<p><span class="math-container">$$A_4 = \begin{bmatrix}
1 &amp; 1 &amp; 1 &amp; 1 \\
1 &amp; 1 &amp; -1 &amp; -1 \\
1 &amp; -1 &amp; 1 &amp; -1 \\
1 &amp; -1 &amp; -1 &amp; 1 \\
1 &amp; 1 &amp; 1 &amp; -1 \\
1 &amp; 1 &amp; -1 &amp; 1 \\
1 &amp; -1 &amp; 1 &amp; 1 \\
1 &amp; -1 &amp; -1 &amp; -1
\end{bmatrix}$$</span></p>
<p>If we delete the first column of <span class="math-container">$A_4$</span> and futher investigate the bit pattern of the last 3 column then:</p>
<p><span class="math-container">$$
\begin{array}{c|c c c}
\textbf{Row} &amp; a_2 &amp; a_3 &amp; a_4 \\
\hline
1  &amp; 0  &amp; 0  &amp; 0  \\
2  &amp; 0  &amp; 1  &amp; 1  \\
3  &amp; 1  &amp; 0  &amp; 1  \\
4  &amp; 1  &amp; 1  &amp; 0  \\
5  &amp; 0  &amp; 0  &amp; 1  \\
6  &amp; 0  &amp; 1  &amp; 0  \\
7  &amp; 1  &amp; 0  &amp; 0  \\
8  &amp; 1  &amp; 1  &amp; 1  \\
\end{array}
$$</span></p>
<p>Edit: As per requested I have add another index to the <span class="math-container">$a$</span> to distinguish different <span class="math-container">$a$</span> for different row</p>
<p><span class="math-container">$$A = \left[ {\begin{array}{*{20}{c}}
1&amp;{{{( - 1)}^{{a_{12}}}}}&amp;{{{( - 1)}^{{a_{13}}}}}&amp; \cdots &amp;{{{( - 1)}^{{a_{1N}}}}}\\
1&amp;{{{( - 1)}^{{a_{22}}}}}&amp;{{{( - 1)}^{{a_{23}}}}}&amp; \cdots &amp;{{{( - 1)}^{{a_{2N}}}}}\\
 \vdots &amp; \vdots &amp; \vdots &amp; \ddots &amp; \vdots \\
1&amp;{{{( - 1)}^{{a_{{2^{N - 1}}2}}}}}&amp;{{{( - 1)}^{{a_{{2^{N - 1}}3}}}}}&amp; \cdots &amp;{{{( - 1)}^{{a_{{2^{N - 1}}N}}}}}
\end{array}} \right]$$</span></p>
<h2>Questions</h2>
<p>I suspect there may be redundancies or special properties in this matrix structure. I would like to ask:</p>
<ol>
<li><p>Is it possible to prove that the matrix maintains full column rank <span class="math-container">$N$</span> under any permutation of rows or permutation of columns ?</p>
</li>
<li><p>Can it be shown that the columns of this matrix are orthogonal (in practice orthogonality just help engineer separate signal easier) ?</p>
</li>
</ol>
<p>Any insights or proof approaches would be greatly appreciated. Thank you.</p>

        


guid: https://math.stackexchange.com/q/5041291
title: CLT when dimension $d$ grows too fast
author: Syd Amerikaner
url: https://math.stackexchange.com/questions/5041291/clt-when-dimension-d-grows-too-fast
feedurl: https://math.stackexchange.com/feeds
content:
            <p>Suppose that <span class="math-container">$X_1, X_2, \dots$</span> are iid <span class="math-container">$\mathbb R^d$</span>-valued random variables with mean vector <span class="math-container">$\mu$</span> and finite variance-covariance matrix <span class="math-container">$\Sigma$</span>. Put <span class="math-container">$$S_n^X := \frac{1}{\sqrt n}\sum_{i=1}^nX_i.$$</span> According to the CLT, <span class="math-container">$S_n^X\stackrel{d}{\rightarrow}\mathcal N_d(0,\Sigma)$</span> as <span class="math-container">$n\rightarrow\infty$</span>. In <a href="https://arxiv.org/pdf/2006.13099" rel="nofollow noreferrer">this paper</a>, the authors claim that</p>
<blockquote>
<p>[t]he situation is very different in high dimensions. If the dimension <span class="math-container">$d$</span> grows faster than <span class="math-container">$\sqrt n$</span>, the classical CLT does no longer apply to the re-scaled sum <span class="math-container">$S_n^X$</span>.</p>
</blockquote>
<p>How can I show this? The standard proof of the CLT is based on showing that the characteristic function of <span class="math-container">$S_n^X$</span> converges to the characteristic function of <span class="math-container">$\mathcal N_d(0,\Sigma)$</span> as <span class="math-container">$n\rightarrow\infty$</span>. The result then follows from Lévy's Theorem. However, this approach assumes that <span class="math-container">$d$</span> is constant and does not increase with <span class="math-container">$n$</span>. So I don't see how to prove the above claim.</p>

        


guid: https://math.stackexchange.com/q/5041769
title: Locus of extended tangent tip of a tractrix
author: Narasimham
url: https://math.stackexchange.com/questions/5041769/locus-of-extended-tangent-tip-of-a-tractrix
feedurl: https://math.stackexchange.com/feeds
content:
            <p>A rigid rod length <span class="math-container">$a$</span> traces a tractrix with cusp by a force at T, when lower end L is constrained to move on the x-axis.</p>
<p>How to derive the ode representing locus of  point P at the end of an extension <span class="math-container">$d$</span> of the straight rod length LTP? Modified ode of tractrix</p>
<p><span class="math-container">$$ \sin \phi =\frac {y}{a+d} $$</span></p>
<p>does not work because it produces another tractrix. P is expected to trace a round curve without a cusp as P is away from tangent end T.</p>
<p>By modifying standard parametrization for <span class="math-container">$d=0,$</span> I get an ode for point P</p>
<p><span class="math-container">$$ \frac{d \phi}{dy}=\frac{(a+d)( a \cos^2 \phi+ d \sin^2 \phi)}{(a^2\cos^2 \phi+ d^2 \sin^2 \phi)^{3/2}} \tag1 $$</span></p>
<p>but I expected a more elegant ode. Can the above (1) be implemented in closed form?</p>
<p>Also when <span class="math-container">$ d=a, \phi = 2y/a + C,$</span> but not sure if that is correct.</p>
<p>Thanks in advance for all tips and pointers towards the correct ode or an analytical solution.</p>
<p><a href="https://i.sstatic.net/Fegti0Vo.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/Fegti0Vo.png" alt="enter image description here" /></a></p>

        


guid: https://math.stackexchange.com/q/5041816
title: Incorrect Use of Complex Sine
author: uhhhh
url: https://math.stackexchange.com/questions/5041816/incorrect-use-of-complex-sine
feedurl: https://math.stackexchange.com/feeds
content:
            <p>I would like to know where I have gone wrong here (apologies for any inconsistent notation)
<br><br>
sin(<span class="math-container">$\frac {4π}{9}$</span>)
<br>= (e<sup>i<span class="math-container">$\frac {4π}{9}$</span></sup> - e<sup>-
i<span class="math-container">$\frac {4π}{9}$</span></sup>) / 2i
<br> = (e<sup>iπ<span class="math-container">$\frac{4}{9}$</span></sup> - e<sup>iπ<span class="math-container">$\frac{-4}{9}$</span></sup>) / 2i
<br>=(-1<sup><span class="math-container">$\frac{4}{9}$</span></sup> - (-1)<sup><span class="math-container">$\frac{-4}{9}$</span></sup>) / 2i
<br> = (<span class="math-container">$\sqrt[9]{1}$</span> - <span class="math-container">$\sqrt[9]{1}$</span>) <span class="math-container">$\div$</span> 2 i
<br> = 0 <span class="math-container">$\div$</span> 2i
<br> = 0</p>

        


guid: https://math.stackexchange.com/q/5042021
author: Neptune
feedurl: https://math.stackexchange.com/feeds
title:
The double-angle formula for cosine is expressible in terms of (single-angle) cosine alone; not so for sine. Why the asymmetry?

url:
https://math.stackexchange.com/questions/5042021/the-double-angle-formula-for-cosine-is-expressible-in-terms-of-single-angle-co

content:
            <p>The double angle formula for cosine can be written purely in terms of the original cosine function. Whereas for sine there is an explicit dependence on the cosine of the original angle as well, quite unlike as in the case of cosine where it depends only on the cosine function.</p>
<p>Dimensionally both are quadratics but why do they show this asymmetry?</p>
<p>Are there any deeper mathematical reasons to this asymmetry (maybe something that involves complex numbers)?</p>
<p>P.S. I'm okay if this question is closed citing its irrelevance or if it is not worthy of debating.</p>

        


guid: https://math.stackexchange.com/q/5042072
title: Is there a smart way to compute the characteristic polynomial of this matrix?
author: Hyperion
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5042072/is-there-a-smart-way-to-compute-the-characteristic-polynomial-of-this-matrix

content:
            <p>I want to compute in a smart way the characteristic polynomial of this <span class="math-container">$3 \times 3$</span> matrix</p>
<p><span class="math-container">$$ A_n = \begin{pmatrix} 
          n-4 &amp; n-3 &amp; n-2 \\
          n-1 &amp; n   &amp; n+1 \\
          n+2 &amp; n+3 &amp; n+4 \end{pmatrix} $$</span></p>
<p>where <span class="math-container">$n \in \mathbb{Z}$</span> is any arbitrary fixed parameter value.
We also know from a previous part of the exercise that <span class="math-container">$A$</span> is not invertible and we also have determined the kernel <span class="math-container">$\ker(A)$</span>. So, we have</p>
<p><span class="math-container">$$ P_{A_n}(X)=\det(X \cdot I - A_n) = \det\begin{pmatrix}
X - (n-4) &amp; -(n-3) &amp; -(n-2) \\
-(n-1)   &amp; X - n   &amp; -(n+1) \\
-(n+2)   &amp; -(n+3) &amp; X - (n+4)
\end{pmatrix} $$</span></p>
<p>So, in my opinion the Laplace expansion for the computation or the rule of Sarrus are not nice to directly apply. So, one idea is, that we need some Gaussian elimination operations first, or is this idea also not practical?</p>
<p>Another idea would be that since we know that <span class="math-container">$A$</span> is not invertible, <span class="math-container">$0$</span> is an eigenvalue and thus we also know that the characteristic polynomial is a standardized polynomial of degree 3 of the form <span class="math-container">$(X^3-\operatorname{trace}(A)X^2+d)\cdot X$</span>.
This seems more promising to me, but we have never talked about how one would retrieve the coefficient <span class="math-container">$d$</span> in such a case and thus I am not sure if this is the intended solution of the exercise.</p>
<p>I would appreciate your help very much.</p>

        


guid: https://math.stackexchange.com/q/5042081
title: Question regarding Schaefer's fixed-point theorem
author: Alucard-o Ming
url: https://math.stackexchange.com/questions/5042081/question-regarding-schaefers-fixed-point-theorem
feedurl: https://math.stackexchange.com/feeds
content:
            <p>I have some uncertainty regarding Schaefer fix point.
In <a href="https://en.wikipedia.org/wiki/Schauder_fixed-point_theorem" rel="nofollow noreferrer">Wikipedia</a> it states that if <span class="math-container">$X$</span> is Banach, <span class="math-container">$f$</span> is continous compact from <span class="math-container">$X$</span> to <span class="math-container">$X$</span> and the set <span class="math-container">$E_λ= \{x\in X \; | \; x = \lambda f(x) \}$</span> is bounded “for some” <span class="math-container">$0\leq λ\leq 1$</span>,
then <span class="math-container">$f$</span> has a fixed point.</p>
<p>Firstly, I think it should be <span class="math-container">$0&lt;λ&lt;1$</span> with strict inequality since <span class="math-container">$E = \{x\in X \; | \; x=0\}$</span> is always bounded. This corresponds with the statement of the theorem in “topics in functional analysis and applications”, Theorem 5.2.7. But even in the book it is not clear to me. Is the theorem stating that all <span class="math-container">$E_\lambda$</span> must be bounded or it’s enough to find one particulate <span class="math-container">$\lambda \in (0,1)$</span>?</p>

        


guid: https://math.stackexchange.com/q/5042113
title: Simple(?) Proof with Inequalities
author: fauxfaux
url: https://math.stackexchange.com/questions/5042113/simple-proof-with-inequalities
feedurl: https://math.stackexchange.com/feeds
content:
            <p>In a paper on theoretical voting systems, I have come to the need to prove (or disprove) the following statement:</p>
<p>If
<span class="math-container">\begin{equation}
(a-c)&gt;(b-a),
\end{equation}</span></p>
<p>then</p>
<p><span class="math-container">\begin{equation}
(s-a)^2 + c^2 &lt; (s-b)^2 + a^2,
\end{equation}</span></p>
<p>for all non-negative integer values <span class="math-container">$0 \leq a, b, c \leq s.$</span></p>
<p>This holds for all of the combinations of <span class="math-container">$a, b, c,$</span> and <span class="math-container">$s$</span> that I have tried. I have tried to do a proof by contradiction but am unable to derive a contradiction. Any help would be greatly appreciated!</p>

        


guid: https://math.stackexchange.com/q/5042124
title: Existence of partial derivatives at a point: definition VS "alternative way"
author: 1d12
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5042124/existence-of-partial-derivatives-at-a-point-definition-vs-alternative-way

content:
            <p>I am confused about what we have done recently in the course I'm following, about functions in <span class="math-container">$\mathbb{R}^n$</span>, in particular about partial derivatives and their existence at a point.</p>
<p>Now the perplexities arise from when the professor started to tell us that of course to check if partial derivatives <span class="math-container">$f'_x(x, y)$</span> and <span class="math-container">$f'_y(x, y)$</span>, of a given function <span class="math-container">$f(x, y)$</span>, exist at a point <span class="math-container">$(x_0, y_0)$</span> we can use the definition, that is to check if it does exist
<span class="math-container">$$f'_x(x_0, y_0) = \lim_{h\to 0} \dfrac{f(x_0 + h, y_0) - f(x_0, y_0)}{h}$$</span></p>
<p>and the same for <span class="math-container">$f'_y(x_0, y_0)$</span>, but then she came up with this:</p>
<p>&quot;we can use a faster way, that is to evaluate <span class="math-container">$f(x, y)$</span> along the two axes, that is we find what are <span class="math-container">$f(0, y)$</span> and <span class="math-container">$f(x, 0)$</span>, and then we compute <span class="math-container">$f'_x(x, 0)$</span> and <span class="math-container">$f'_y(0, y)$</span>.</p>
<p>Once we did this, it's sufficient to evaluate what we got at <span class="math-container">$x = 0$</span> or <span class="math-container">$y = 0$</span> (this of course holds when we have to check for existence at <span class="math-container">$(0, 0)$</span>, otherwise we use different paths) and we are done.</p>
<p>Functions used for this purpose were like piecewise functions, often defined as <span class="math-container">$g(x, y)$</span> out of the origin and <span class="math-container">$0$</span> or <span class="math-container">$A$</span> at the origin (where <span class="math-container">$A$</span> has to be found).</p>
<p><strong>Now my question and doubts</strong></p>
<p>Is this a really legit method? I mean when we do this chain of passages</p>
<p><span class="math-container">$$f(x, y) \longrightarrow f(x, 0)$$</span></p>
<p>this is ok, we simply evaluate <span class="math-container">$f$</span> over a path. Then <span class="math-container">$f(x, 0)$</span> might be an expression in terms of <span class="math-container">$x$</span> or a number.</p>
<p>Then</p>
<p><span class="math-container">$$f(x, 0) \longrightarrow f'_x(x, 0)$$</span></p>
<p>Again this could be a number, even zero, or an expression in terms of <span class="math-container">$x$</span>. This is ok too, to me.</p>
<p><strong>But then</strong></p>
<p><span class="math-container">$$f'_x(x, 0) \longrightarrow f'_x(0, 0)$$</span></p>
<p>This will surely provide a number (or some infinite). But <strong>is this legit, and why?</strong></p>
<p>My suspect is that this is not legit, because we are assuming in this last passage that <span class="math-container">$f'_x(x, 0)$</span> is continuous, and hence we are assuming <span class="math-container">$f'_x(0, 0) = \lim_{x\to 0} f'_x(x, 0)$</span> but this doesn't hold always.</p>
<p>Am I right? Am I wrong? I have this doubt that bugs me a lot.</p>
<p>UP</p>
<p>UP</p>

        


guid: https://math.stackexchange.com/q/5042134
title: Probability of a (random) linear operator being strictly positive
author: Guest_000
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5042134/probability-of-a-random-linear-operator-being-strictly-positive

content:
            <p>Given a collection of IID random complex <span class="math-container">$n\times n$</span> Gaussian matrices <span class="math-container">$A_1, \ldots, A_m$</span>, consider the linear map obtained by <span class="math-container">$$X\overset{\phi}\mapsto \sum_{i=1}^m A_i X A^*_i.$$</span></p>
<p>Here <span class="math-container">$(\, \cdot\,)^*$</span> denotes the conjugate transpose. A linear map <span class="math-container">$\phi$</span>, like the one above, is called strictly-positive (or positivity improving) if <span class="math-container">$\phi(X)$</span> is a (strictly) positive definite matrix for any <em>non-zero</em> positive semidefinite matrix <span class="math-container">$X$</span>.</p>
<p>What is the probability of <span class="math-container">$\phi$</span> defined above is strictly positive?</p>
<p>EDIT 1: Of course, the probability shall depend on <span class="math-container">$n$</span> and <span class="math-container">$m$</span>. One would hope the probability of <span class="math-container">$\phi$</span> being strictly positive is close to <span class="math-container">$1$</span>, for <span class="math-container">$m$</span> large enough.</p>

        


guid: https://math.stackexchange.com/q/5042144
title: Lie algebras of $\mathrm{GL}_2$ and $\mathrm{SL}_2$ as tangent spaces
author: George Wood
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5042144/lie-algebras-of-mathrmgl-2-and-mathrmsl-2-as-tangent-spaces

content:
            <p>Let <span class="math-container">$Z(f) \subseteq \mathbb{A}^n$</span>. The tangent space of <span class="math-container">$Z(f)$</span> at the point <span class="math-container">$x= (x_1, \dots, x_n)$</span> is <span class="math-container">$Z(d_x f)$</span>, where
<span class="math-container">$$
d_x f = \sum_{i=1}^n \frac{\partial f}{\partial T_i}(x) T_i.
$$</span></p>
<p>We can think of <span class="math-container">$\mathrm{GL}_2$</span> as an affine variety in <span class="math-container">$\mathbb{A}^5$</span> cut out by the polynomial <span class="math-container">$f = (T_1T_4-T_2T_3)Y-1$</span>, where <span class="math-container">$Y$</span> is the inverse of the determinant. We have
<span class="math-container">$$
d_x f = T_4Y(x)T_1 - T_3Y(x)T_2 -T_2Y(x)T_3 + T_1Y(x)T_4 + \det(x)Y .
$$</span></p>
<p>I want to compute the Lie algebra <span class="math-container">$\mathfrak{gl}_2$</span>. According to one definition, the Lie algebra is the tangent space at the identity, i.e. <span class="math-container">$e = (1,0,0,1)$</span>. Then
<span class="math-container">$$
d_e f = T_1 + T_4 + Y.
$$</span></p>
<p><strong>Question:</strong> How do we go from here to understanding the Lie algebra <span class="math-container">$\mathfrak{gl_2}$</span> as the set of <span class="math-container">$2\times2$</span> matrices, and is this a sensible way of thinking about Lie algebras?</p>
<p>This tangent space is clearly a four-dimensional vector space, which is isomorphic to the set of <span class="math-container">$2 \times 2$</span> matrices. I think the problem is that the group structure is lost in this interpretation, and I don't understand how to introduce it.</p>
<p><strong>Edit:</strong> Another example, <span class="math-container">$\mathrm{SL}_2$</span>, might make my question clearer. In this case, we would get a tangent space that is a three-dimensional vector space. Why do we then think about it as the set of <span class="math-container">$2 \times 2$</span> matrices of trace zero?</p>

        


guid: https://math.stackexchange.com/q/5042219
title: Verification that $\lim_{x\to 0}\frac{x^2\sin(\frac{1}{x})}{1+x^2}=0$
author: Nick Pieper
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5042219/verification-that-lim-x-to-0-fracx2-sin-frac1x1x2-0

content:
            <p>The problem is <span class="math-container">$$ \lim_{x \to 0} \frac{x^2 \cdot \sin\left(\frac{1}{x}\right)}{1 + x^2} $$</span></p>
<p>Here is my answer:</p>
<p><span class="math-container">$sin\frac{1}{x}$</span> is will be bewteen -1 and 1 so,</p>
<p><span class="math-container">$$-1&lt; sin\frac{1}{x} &lt;1 $$</span></p>
<p>We now can multiply by <span class="math-container">$x^2$</span> to get:</p>
<p><span class="math-container">$$  -x^2&lt; x^2sin(\frac{1}{x}) &lt;x^2 $$</span></p>
<p>Now we can divide by <span class="math-container">${1 + x^2}$</span> to get:</p>
<p><span class="math-container">$$  \frac {-x^2}{1 + x^2}&lt; \frac {x^2sin(\frac{1}{x})} {1 + x^2} &lt;\frac {x^2} {1 + x^2} $$</span></p>
<p>Now take the limts of <span class="math-container">$  \frac {-x^2}{1 + x^2} and \frac {x^2} {1 + x^2} $</span> as x approaches 0:</p>
<p><span class="math-container">$$\lim_{x\to0} \frac {-x^2}{1 + x^2} = \frac{-0^2}{1 + 0^2}=0  $$</span></p>
<p>and</p>
<p><span class="math-container">$$\lim_{x\to0} \frac {x^2} {1 + x^2}=\frac {0^2} {1 + 0^2}=0 $$</span></p>
<p>So by the squeeze theorem: <span class="math-container">$$ \lim_{x \to 0} \frac{x^2 \cdot \sin\left(\frac{1}{x}\right)}{1 + x^2} =0 $$</span></p>
<p>Is my math correct?</p>

        


guid: https://math.stackexchange.com/q/5042248
title: No units 1 make up 0, so can we say 0 is an odd or an even count of units 1? [duplicate]
author: Vitalie Ghelbert
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5042248/no-units-1-make-up-0-so-can-we-say-0-is-an-odd-or-an-even-count-of-units-1

content:
            <p><strong>Foreword:</strong><br />
<em>Non-zero integers are made up of units 1,<br />
having an odd or an even count of units 1,<br />
similar with: <span class="math-container">$-2 = -(1+1)$</span>, <span class="math-container">$-3 = -(1+1+1)$</span>, <span class="math-container">$2 = 1 + 1$</span>, <span class="math-container">$3 = 1 + 1 + 1$</span>, etc...</em></p>
<p><strong>Question</strong>:<br />
No units 1 make up 0,<br />
so can we say 0 is an odd or an even count of units 1?</p>
<hr />
<p><em><strong>Reasoning:</strong></em><br />
<em>So &quot;0 can't be an odd count of units 1,<br />
because no units 1 make up 0, contrary to this fact,<br />
0 can be an even count of units 1, even if no units 1 make up 0&quot;? What is the difference?<br />
So, 0 is the presence of an even count of units 1 or <strong>0 is the absence of any odd or even count of units 1</strong>?</em></p>
<p><em><strong>With 0 we note the presence of an even count of anything or<br />
with 0 we note the absence of any odd or even count of anything?</strong></em></p>
<p><em>If &quot;0 is even&quot;, then on an empty table there would be the presence of an even count of anything or<br />
on an empty table there would be the absence of any odd or even count of anything?</em></p>
<p><em>So at night will mean to have THE PRESENCE of an even count of Suns VISIBLE in the sky or<br />
<strong>at night will mean to have THE ABSENCE of any odd or even count of Suns INVISIBLE in the sky?</strong></em></p>

        


guid: https://math.stackexchange.com/q/5042277
title: Derivative of the function of a function
author: seeker
url: https://math.stackexchange.com/questions/5042277/derivative-of-the-function-of-a-function
feedurl: https://math.stackexchange.com/feeds
content:
            <p>I am an undergrad physics student, so apologies for my trivial terminology on this platform.</p>
<p>I have a function <span class="math-container">$M$</span> which depends on another matrix <span class="math-container">$R$</span> as <span class="math-container">$M = Tr[P^2 R]$</span>. Also <span class="math-container">$R$</span> is a function of a real scalar parameter <span class="math-container">$x$</span> such that
<span class="math-container">$$\frac{d R}{dx} = \frac{1}{2}(RP + PR). \qquad \qquad (1)$$</span></p>
<p>I am interested in knowing how to define <span class="math-container">$M(R(x + dx))$</span> and whether it can be written in terms of <span class="math-container">$M(R(x))$</span>?</p>
<p>EDIT1: Matrix <span class="math-container">$P$</span> is supposed to be obtained as a solution of eq. (1).</p>

        


guid: https://math.stackexchange.com/q/5042299
author: Lai
feedurl: https://math.stackexchange.com/feeds
title:
Do we have a simpler solution for the integral or go further with the power of the integral $\int_0^1 \frac{\operatorname{arctanh} (x^2 )}{x^2}dx$?

url:
https://math.stackexchange.com/questions/5042299/do-we-have-a-simpler-solution-for-the-integral-or-go-further-with-the-power-of-t

content:
            <p>After finding the integral <span class="math-container">$I_1=\int_0^1 \frac{\operatorname{arctanh} x}{x}dx=\frac{\pi^2}{8}  $</span> via integration by parts, I started to further investigate
<span class="math-container">$$I_2=\int_0^1 \frac{\operatorname{arctanh}(x^2)}{x^2}dx.  $$</span>
I then tried integration by parts again and failed. Then I expressed <span class="math-container">$\operatorname{arctanh}(x^2) $</span> in terms of natural logarithm as:
<span class="math-container">$$\begin{aligned} I_2 &amp; =\int_0^1 \frac{\operatorname{arctanh}\left(x^2\right)}{x^2} d x\\&amp;=\frac{1}{2} \int_0^1 \frac{\ln \left(\frac{1+x^2}{1-x^2}\right)}{x^2} d x \\ &amp; =-\frac{1}{2} \int_1^{\infty} \ln \left(\frac{x^2-1}{x^2+1}\right) d x \quad \textrm{ via } x\mapsto\frac{1}{x} \end{aligned}$$</span>
By the <a href="https://math.stackexchange.com/a/1059778/732917">post</a>, we have
<span class="math-container">$$\int_a^{\infty} \ln \left(\frac{x^2-1}{x^2+1}\right) d x = -a\ln\frac{a^2-1}{a^2+1}+\ln\frac{a-1}{a+1}-\pi+2\arctan a$$</span>
Hence putting letting <span class="math-container">$a\to 1$</span> yields <span class="math-container">$$
\begin{aligned}
I_2 &amp; =-\frac{1}{2}\left[-a \ln \frac{a^2-1}{a^2+1}+\ln \frac{a-1}{a+1}-\pi+2 \operatorname{arctan a}\right] \\
\\&amp;=-\frac{1}{2}\left[\lim _{a \rightarrow 1} \ln \left(\frac{(a-1)^{a-1}\left(a^2+1\right)^a}{(a+1)^{a+1}}\right)-\frac{\pi}{2}\right]\\&amp; =\frac{1}{4}(\pi+2 \ln 2)
\end{aligned}
$$</span></p>
<hr />
<p><strong>My question: Do we have a simpler solution for the integral or go further with the power?</strong></p>

        


guid: https://math.stackexchange.com/q/5042304
author: Ariel GC
feedurl: https://math.stackexchange.com/feeds
title:
Find the value of $x+y+z$ in terms of $m$ where $x\sqrt{y-m} + y\sqrt{z-m} + z\sqrt{x-m} = 6m\sqrt{m}$ and $x^2+y^2+z^2=12m^2$, for $x,y,z,m > 0$.

url:
https://math.stackexchange.com/questions/5042304/find-the-value-of-xyz-in-terms-of-m-where-x-sqrty-m-y-sqrtz-m-z-s

content:
            <p><strong>Problem.</strong></p>
<p>How to find the value of <span class="math-container">$x+y+z$</span> in terms of <span class="math-container">$m$</span> where <span class="math-container">$x\sqrt{y-m} + y\sqrt{z-m} + z\sqrt{x-m} = 6m\sqrt{m}$</span> and <span class="math-container">$x^2+y^2+z^2=12m^2$</span>, for <span class="math-container">$x,y,z,m &gt; 0$</span>. (Source : KTOM Indonesia January 2025, slightly modified)</p>
<p><strong>What I've Done.</strong></p>
<p>I'm trying to look for the simple case first, which is setting <span class="math-container">$x=y=z$</span>. Then I got a solution <span class="math-container">$x=y=z=2m$</span>, and hence <span class="math-container">$x+y+z=6m$</span>.
I've also tried to use CS inequality directly from <span class="math-container">$x\sqrt{y-m} + y\sqrt{z-m} + z\sqrt{x-m} = 6m\sqrt{m}$</span> and get <span class="math-container">$x+y+z\geq 6m$</span>.
Also tried to squaring <span class="math-container">$x\sqrt{y-m} + y\sqrt{z-m} + z\sqrt{x-m} = 6m\sqrt{m}$</span>, but it's getting complicated.</p>
<p><strong>Question.</strong>
What is the best approach to tackle the problem? Is it effective to use some inequality?</p>
<p>Thanks in advanced.</p>

        


guid: https://math.stackexchange.com/q/5042309
title: Are Topologically Tame 3-Manifolds with Pinched Negative Curvature Geometrically Tame?
author: Ras-Al-Shaytan
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5042309/are-topologically-tame-3-manifolds-with-pinched-negative-curvature-geometrically

content:
            <p>We say that a 3-manifold <span class="math-container">$M$</span> is <em>geometrically tame</em> if every geometrically infinite end is simply degenerate, i.e. it has a neighborhood homeomorphic to <span class="math-container">$S\times [0,\infty)$</span>, where <span class="math-container">$S$</span> is a compact surface, and it admits a sequence of simplicial ruled surfaces exiting every compact set (see <a href="https://www.jstor.org/stable/2152793" rel="nofollow noreferrer">https://www.jstor.org/stable/2152793</a>) for reference.</p>
<p>In the same article, Canary states (and proves) that</p>
<p><strong>Main Theorem</strong>: Any topologically tame hyperbolic <span class="math-container">$3$</span>-manifold is geometrically tame.</p>
<p>My question is: does this also hold for <span class="math-container">$3$</span>-manifold with pinched negative curvature, i.e. <span class="math-container">$-b^2\le \kappa\le -1$</span> for every sectional curvature <span class="math-container">$\kappa$</span>? In <a href="https://www.researchgate.net/publication/276903843_Bounded_cohomology_and_the_Cheeger_isoperimetric_constant?enrichId=rgreq-3202307fb9eb7bde6a8771993a1f1363-XXX&amp;enrichSource=Y292ZXJQYWdlOzI3NjkwMzg0MztBUzozNTI2NjkxNzM2MDAyNTZAMTQ2MTA5NDI5MTE5Ng%3D%3D&amp;el=1_x_2&amp;_esc=publicationCoverPdf" rel="nofollow noreferrer">https://www.researchgate.net/publication/276903843_Bounded_cohomology_and_the_Cheeger_isoperimetric_constant?enrichId=rgreq-3202307fb9eb7bde6a8771993a1f1363-XXX&amp;enrichSource=Y292ZXJQYWdlOzI3NjkwMzg0MztBUzozNTI2NjkxNzM2MDAyNTZAMTQ2MTA5NDI5MTE5Ng%3D%3D&amp;el=1_x_2&amp;_esc=publicationCoverPdf</a> , Kim and Kim refer to Bonahon's &quot;Bout de variétés hyperboliques de dimension 3&quot;, but Bonahon only states this for hyperbolic manifolds. Similarly, Hou in <a href="https://doi.org/10.1017/S0017089503001332" rel="nofollow noreferrer">https://doi.org/10.1017/S0017089503001332</a> refers to Canary's work, saying that in turn he refers to Bonahon for this result on pinched negatively curved manifolds.</p>
<p>I am a bit lost on this, as everybody seems to reference each other, but nobody actually proves the result.
Can somebody help me?</p>

        


guid: https://math.stackexchange.com/q/5042311
author: Miguel Forteza
feedurl: https://math.stackexchange.com/feeds
title:
Check if exercise 7.3.7's solution is correct. Can Barrow's Rule be used to compute the integral of Thomae's function?

url:
https://math.stackexchange.com/questions/5042311/check-if-exercise-7-3-7s-solution-is-correct-can-barrows-rule-be-used-to-comp

content:
            <p>I'm referring to this exercise from <em>Introduction to Real Analysis</em> of Bartle and Sherbert, 4th edition:</p>
<p><a href="https://i.sstatic.net/AIZdtJ8J.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/AIZdtJ8J.png" alt="enter image description here" /></a></p>
<p>It asks if the integral of the Thomae's function can be computed using the first fundamental theorem of calculus, which in this book is the Barrow's rule.</p>
<p>The Thomae's function (restricted to <span class="math-container">$[0,1]$</span>) is given by <span class="math-container">$h:[0,1]\longrightarrow\mathbb{R}$</span> where <span class="math-container">$h(x):=0$</span> if <span class="math-container">$x\in \mathbb{R}\setminus\mathbb{Q}$</span> and <span class="math-container">$h(x):=1/n$</span> if <span class="math-container">$x=\frac{m}{n}\in \mathbb{Q}$</span> where <span class="math-container">$m$</span> and <span class="math-container">$n$</span> have no common factors other than <span class="math-container">$1$</span>. And the theorem goes as follows: Let <span class="math-container">$f,F:[a,b]\longrightarrow \mathbb{R}$</span> such that</p>
<ol>
<li><span class="math-container">$F$</span> is continuous on [a,b]</li>
<li><span class="math-container">$F'(x)=f(x)$</span> for every <span class="math-container">$x\in[a,b]\setminus E$</span>, where <span class="math-container">$E\subset[a,b]$</span> is a finite set</li>
<li><span class="math-container">$f$</span> is Riemann integrable</li>
</ol>
<p>Then we have
<span class="math-container">$$\int_a^bf=F(b)-F(a)$$</span></p>
<p>My answer is that it can't be used. Let's say there is a function <span class="math-container">$F$</span> satisfying those conditions. Then we could find an interval <span class="math-container">$[\alpha,\beta]\subset [0,1]$</span> such that <span class="math-container">$[\alpha,\beta]\cap E=\emptyset$</span> and <span class="math-container">$\alpha\in \mathbb{R}\setminus\mathbb{Q},\beta \in \mathbb{Q},$</span>. Then we can apply Darboux's theorem, which says that if <span class="math-container">$F:[\alpha,\beta]\longrightarrow \mathbb{R}$</span> (<span class="math-container">$\alpha&lt;\beta$</span>) differentiable on <span class="math-container">$[\alpha,\beta]$</span> sucht that <span class="math-container">$F'(\alpha)&lt;F'(\beta)$</span>, then for every <span class="math-container">$y$</span> in between <span class="math-container">$f(\alpha)$</span> and <span class="math-container">$f(\beta)$</span> we can find <span class="math-container">$x\in [\alpha,\beta]$</span> such that <span class="math-container">$F'(x)=y$</span>.</p>
<p>Since <span class="math-container">$F'(x)=h(x)$</span> for every <span class="math-container">$x\in [\alpha,\beta]$</span> then we have <span class="math-container">$F'(\alpha)=h(\alpha)=0&lt;h(\beta)=F'(\beta)$</span>. By density there will be an irrational <span class="math-container">$z$</span> between those two images and by the Darboux's theorem we'll be able to find an <span class="math-container">$x\in [\alpha,\beta]$</span> such that <span class="math-container">$F'(x)=h(x)=z$</span>; but that's a contradiction since there are no irrationals in the image of <span class="math-container">$h$</span>.</p>
<p>Thanks in advance for revising if the argument is correct. I also publish this because I couldn't find another answer and I thougth this might be useful for someone at some point.</p>

        


guid: https://math.stackexchange.com/q/5042315
title: Equivalence of definitions for homogeneity and isotropy in Riemannian manifold
author: asaltanubes
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5042315/equivalence-of-definitions-for-homogeneity-and-isotropy-in-riemannian-manifold

content:
            <p>I've been trying to proove that all isotropic and homogeneous riemannian manifolds have constant seccional curvature. For this i have a definition of this kind of spaces with killing fields, however the way i could proove it is by using a different definition of
homogeneity and isotropy. If there is any way to prove that these definitions are equivalent then the proof is complete.</p>
<p>The first definition for homogeneity is that
for all <span class="math-container">$\gamma$</span> at every point there are killing fields of the form</p>
<p><span class="math-container">$$ h^{(\gamma)}_\mu = \delta^\gamma_\mu $$</span></p>
<p><span class="math-container">$$ \partial_\mu h^{(\gamma)}_\nu = 0 $$</span></p>
<p>where <span class="math-container">$(\gamma)$</span> acts as a label.</p>
<p>The second definition for homogeneity is that for all pairs of points <span class="math-container">$p, q \in \mathcal{M}$</span> where <span class="math-container">$\mathcal{M}$</span> is the manifold there is an isometry, <span class="math-container">$\phi$</span>, such that
<span class="math-container">$$ \phi(p) = q $$</span></p>
<p>For isotropy the killing field definition has two labels. A manifold is isotropic if for all <span class="math-container">$\gamma, \sigma$</span> at every point there are killing fields of the form</p>
<p><span class="math-container">$$ I^{(\gamma, \sigma)}_\mu = 0 $$</span>
<span class="math-container">$$ \partial_\mu I^{(\gamma, \sigma)}_\nu = \delta^{\gamma, \sigma}_{\mu, \nu} - \delta^{\gamma, \sigma}_{\nu, \mu} $$</span></p>
<p>The second definition for isotropy is that there is an isometry, <span class="math-container">$\phi$</span>, such that for every pair of
<span class="math-container">$u, v \in T_p \mathcal{M}$</span> of the same norm
<span class="math-container">$$ \phi_* u = v $$</span>
where <span class="math-container">$\phi_*$</span> denotes the pushforward by <span class="math-container">$\phi$</span></p>
<p>I have the intuition that these definitions have to be equivalent because for the homogeneity the killing fields generate an isometry to all points in a neighborhood for all points so if the space is path connected one should be able to &quot;jump&quot; from point to point unitil the points <span class="math-container">$p$</span> and <span class="math-container">$q$</span> are connected by a series of isometries.</p>
<p>For the isometry i've tried to prove this by first proving that the diferential of the
function <span class="math-container">$\phi$</span> is a rotation of the tangent space by using the relationships</p>
<p><span class="math-container">$$ \frac{d}{dt} \phi^t(p) = I^{(\gamma, \sigma)}(p) $$</span>
<span class="math-container">$$ d \phi^t(p, \partial_\mu) = \frac{\partial \phi^{t, \nu}}{\partial x^\mu} \partial_\nu $$</span></p>
<p>and then if all of the rotations of the tangent space have are isometries then the two definitions are equivalent.</p>

        


guid: https://math.stackexchange.com/q/5042318
title: Two different solutions for a binomial probability problem
author: MathBug
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5042318/two-different-solutions-for-a-binomial-probability-problem

content:
            <p>While preparing for a class, I was solving the following problem:</p>
<p>You pass an exam with 10 true/false questions if you answer at least 7 correctly. You know 30% of the subject, so if you are asked a question about that part you always answer correctly; but you answer randomly the other questions. What is the probability of passing the exam?</p>
<p>On one hand, you can do the following:</p>
<blockquote>
<p>K=knowing the answer, <span class="math-container">$P(K)=0.3$</span>.</p>
<p>S=answering correctly, <span class="math-container">$P(S)=P(S\cap K)+P(S\cap K^c)=P(S|K)P(K)+P(S|K^c)P(K^c)=0.3+0.5\cdot0.7=0.65$</span></p>
<p>Taking <span class="math-container">$X\sim Bin(p=0.65,n=10)$</span>, <span class="math-container">$P(X\geq7)=0.51383$</span></p>
</blockquote>
<p>On the other hand, you can do the following</p>
<blockquote>
<p>Since 30% of the questions are known, only 7 of those 10 questions are answered randomly.
Taking <span class="math-container">$X\sim Bin(p=0.5,n=7)$</span>, you need 4 more correct questions to pass, so <span class="math-container">$P(X\geq4)=0.5$</span>.</p>
</blockquote>
<p>I can see the difference of both answers, and why one can be right and the other wrong. What I cannot understand is <em><strong>why</strong></em> the second answer has <em>less</em> probability than the first one, since you are <strong>assuming</strong> that the 30% of what you know is asked at that rate.</p>
<p>Probably the point is that if a question is taken following a <span class="math-container">$Bin(p=0.3,n=10)$</span>, the probability of having 3 or more is <span class="math-container">$0.61722$</span>. But the average is 3, can the probability be worse in average than in a random trial?</p>
<p>Could someone shed light into this?</p>

        


guid: https://math.stackexchange.com/q/5042320
title: logic question 2 [closed]
author: wiwiwiwi
url: https://math.stackexchange.com/questions/5042320/logic-question-2
feedurl: https://math.stackexchange.com/feeds
content:
            <p><a href="https://i.sstatic.net/EDBPnYYZ.png" rel="nofollow noreferrer">enter image description here</a></p>
<p>[enter image description here][2]</p>

        


guid: https://math.stackexchange.com/q/5042323
title: Stalks of the sheaf of locally polynomial functions on $X$
author: Iman
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5042323/stalks-of-the-sheaf-of-locally-polynomial-functions-on-x

content:
            <p>Let <span class="math-container">$X = \Bbb R$</span> and let <span class="math-container">$\mathcal{F}$</span> be the sheaf of locally polynomial functions on <span class="math-container">$X$</span>. That is <span class="math-container">$$\mathcal{F}(U) = \{f : U \to X \mid \text{for any } x \in U : \exists V\subset U \text{ s.t }  f \vert_V \text{ is a polynomial.}\}$$</span> Pick <span class="math-container">$x \in X$</span>, what is the stalk <span class="math-container">$\mathcal{F}_x$</span> given by? The elements of <span class="math-container">$\mathcal{F}_x$</span> are equivalence classes <span class="math-container">$(U,f)$</span> where <span class="math-container">$(U,f) \sim (U,g)$</span> iff <span class="math-container">$\exists V \subset U$</span> s.t. <span class="math-container">$f\vert_V = g\vert_V$</span>. So the representatives of the germs are basically functions for which the local polynomial expressions agree on a suitable open set.</p>
<p>Can I use this to figure out the stalk?</p>

        


guid: https://security.stackexchange.com/q/262761
title: Does Software Composition Analysis scan the source code or environment?
author: user58446
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/262761/does-software-composition-analysis-scan-the-source-code-or-environment

content:
            <p>Do all SCA scanners work the same? Do they scan the source or the environment? I've seen some SCA that can scan a folder but also python safety just checks pypi. If both, what are advantages/disadvantages of each?</p>

        


guid: https://security.stackexchange.com/q/265517
title: Is sniffing possible on a wired network, assuming it is physically secure?
author: Forward_Always
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/265517/is-sniffing-possible-on-a-wired-network-assuming-it-is-physically-secure

content:
            <p>I had a security concern with an unknown device on the network.</p>
<p>If Wi-Fi is disabled and the network is strictly ethernet, assuming that no malware is deployed and it cannot be physically accessed by an attacker, can packets still be sniffed somehow?</p>
<p>This may be overkill, but I want to learn more about network security and ensure that we're safe.</p>

        


guid: https://security.stackexchange.com/q/270651
title: PCI compliance - use of ANSI X9.17 for export keys
author: MaXbeMan
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/270651/pci-compliance-use-of-ansi-x9-17-for-export-keys

content:
            <p>we have a concern about a key export. We completed the migration to Key Block LMK in our environment (with HSM Thales 10K). Now, we have to exchange keys with third-parties that still use Keys in variant form. We generated the keys and formed the ZMK using the Key Block standard. To resolve the issue we have to export keys using &quot;X&quot; Key Scheme.</p>
<blockquote>
<p>About compliance, we are still exporting keys in the correct key block
format? or using the &quot;X&quot; we are converting them for the export?</p>
</blockquote>
<p>It may seem like an excess of attention, but the fact that exports with scheme X must be authorized has raised safety concerns. it would be interesting to have a technical clarification on the use of scheme X</p>

        


guid: https://security.stackexchange.com/q/274523
title: Is the Bitlocker encryption key used on HD same for USB?
author: nanonerd
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/274523/is-the-bitlocker-encryption-key-used-on-hd-same-for-usb

content:
            <p>With Bitlocker, is there only one &quot;master key&quot; that is used to encrypt/decrypt <strong>for both HD and USB data?</strong></p>
<p>I saw this article today which talks about sniffing the encryption key to get access to Bitlocker data on an HD. <a href="https://www.hackster.io/news/thomas-roth-breaks-microsoft-s-bitlocker-in-under-a-minute-with-a-4-raspberry-pi-pico-6ac738e6ec77" rel="nofollow noreferrer">https://www.hackster.io/news/thomas-roth-breaks-microsoft-s-bitlocker-in-under-a-minute-with-a-4-raspberry-pi-pico-6ac738e6ec77</a></p>
<p>However, there is no mention of Bitlocker used on USB sticks. So I was wondering, if a hacker is able to get obtain the encryption key AND if the same key is used for both HD and USB encryption, then can this hack can be used to decrypt &quot;Bitlocker protected&quot; USB data as well?</p>
<ol>
<li>Does anyone know if the same key is used in both areas (HD and USB)?</li>
<li>Is my thinking, albeit a high level, reasonably correct?</li>
</ol>
<p>Thanks.</p>

        


guid: https://security.stackexchange.com/q/280531
title: GPG: Why "pubring.kbx" contains keys I removed?
author: Manuel Jordan
url: https://security.stackexchange.com/questions/280531/gpg-why-pubring-kbx-contains-keys-i-removed
feedurl: https://security.stackexchange.com/feeds
content:
            <p>With VirtualBox is installed as guest Ubuntu Desktop <code>22.04.5 LTS x86_64</code></p>
<p>About <code>gpg</code></p>
<pre><code>gpg --version
gpg (GnuPG) 2.2.27
libgcrypt 1.9.4
...

Home: /home/manueljordan/.gnupg
</code></pre>
<p>To remove some keys, I executed the following commands:</p>
<pre><code>gpg --delete-secret-keys &lt;key ID&gt;
gpg --delete-key &lt;key ID&gt;
</code></pre>
<p>Where the <code>&lt;key ID&gt;</code> can be either a <em>full</em> or <em>long</em> <strong>fingerprint</strong></p>
<p>Once the two previous commands executed successfully, the two following commands are executed to confirm that the public and secret keys were removed:</p>
<pre><code>gpg --list-secret-keys
gpg --list-public-keys
</code></pre>
<p>And as expected, the removed keys do not appear anymore.</p>
<p>About the two previous commands, for each one their outputs have as the first line the following content:</p>
<pre><code>/home/manueljordan/.gnupg/pubring.kbx
</code></pre>
<p>If I executed <code>cat pubring.kbx</code> some of the removed users are still listed (I mean: the encrypted content shows some emails of the users that were removed through their public and secret keys)</p>
<p>Why does this happen? How to fix?</p>

        


guid: https://security.stackexchange.com/q/280532
title: GPG: Why the "gpg --expert --full-gen-key" command does not show all the "kind of keys"?
author: Manuel Jordan
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280532/gpg-why-the-gpg-expert-full-gen-key-command-does-not-show-all-the-kind-o

content:
            <p>For Debian 12 and Ubuntu Desktop 22.04 when is executed the following command:</p>
<pre><code>gpg --full-gen-key
gpg (GnuPG) 2.2.40; Copyright (C) 2022 g10 Code GmbH
This is free software: you are free to change and redistribute it.
There is NO WARRANTY, to the extent permitted by law.

Please select what kind of key you want:
   (1) RSA and RSA (default)
   (2) DSA and Elgamal
   (3) DSA (sign only)
   (4) RSA (sign only)
  (14) Existing key from card
Your selection? 
gpg: signal Interrupt caught ... exiting
</code></pre>
<p>As you can see about the <em>kind of keys</em> there is a difference between 5 to 13. Thus if is executed the following command:</p>
<pre><code>gpg --expert --full-gen-key
gpg (GnuPG) 2.2.40; Copyright (C) 2022 g10 Code GmbH
This is free software: you are free to change and redistribute it.
There is NO WARRANTY, to the extent permitted by law.

Please select what kind of key you want:
   (1) RSA and RSA (default)
   (2) DSA and Elgamal
   (3) DSA (sign only)
   (4) RSA (sign only)
   (7) DSA (set your own capabilities)
   (8) RSA (set your own capabilities)
   (9) ECC and ECC
  (10) ECC (sign only)
  (11) ECC (set your own capabilities)
  (13) Existing key
  (14) Existing key from card
Your selection? 
</code></pre>
<p>Thanks to the <code>--expert</code> option appears practically almost the complete the list.
If you see carefully the list is not complete</p>
<ul>
<li>Where is the 5,6 and 12 options?</li>
<li>Why do they do not appear?</li>
<li>Is possible to list them too? How?</li>
</ul>

        


guid: https://security.stackexchange.com/q/280535
title: GPG: trying to understand about of public and secret keys
author: Manuel Jordan
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280535/gpg-trying-to-understand-about-of-public-and-secret-keys

content:
            <p><strong>Introduction</strong></p>
<p>In SSH can be created a pair of keys as follows for example:</p>
<ul>
<li><code>id_rsa</code></li>
<li><code>id_rsa.pub</code></li>
</ul>
<p>Where the first one is the private and the second is the public.
Where both:</p>
<ul>
<li>Are located in the <code>~/.ssh</code> directory</li>
<li>Is possible apply the <code>cat</code> command to see the content of each key</li>
</ul>
<p>And of course the private key must be never shared. So far I can do a SSH connection in peace</p>
<p><strong>GPG</strong></p>
<p>Exists the <code>~/.gnupg</code> directory which contains the following files among others:</p>
<ul>
<li><code>pubring.kbx</code></li>
<li><code>openpgp-revocs.d</code></li>
<li><code>private-keys-v1.d</code></li>
</ul>
<p>I've confirmed when the following command is executed successfully:</p>
<ul>
<li><code>gpg --full-gen-key</code></li>
</ul>
<p>About the output as follows:</p>
<pre><code>Change (N)ame, (C)omment, (E)mail or (O)kay/(Q)uit? O
We need to generate a lot of random bytes. It is a good idea to perform
some other action (type on the keyboard, move the mouse, utilize the
disks) during the prime generation; this gives the random number
generator a better chance to gain enough entropy.
We need to generate a lot of random bytes. It is a good idea to perform
some other action (type on the keyboard, move the mouse, utilize the
disks) during the prime generation; this gives the random number
generator a better chance to gain enough entropy.
gpg: revocation certificate stored as '/home/manueljordan/.gnupg/openpgp-revocs.d/2A49B648C65C5F73C1FD17A2FBCFD538D559606D.rev'
public and secret key created and signed.

pub   rsa3072 2025-02-13 [SC] [expires: 2025-03-15]
      2A49B648C65C5F73C1FD17A2FBCFD538D559606D
uid                      Capitan Futuro (Nave Cometa) &lt;capitanfuturo@gmail.com&gt;
sub   rsa3072 2025-02-13 [E] [expires: 2025-03-15]
</code></pre>
<p>Furthermore happens mostly the following:</p>
<ul>
<li>The <code>pubring.kbx</code> file is updated</li>
<li>In the <code>openpgp-revocs.d</code> directory is created the <code>2A49B648C65C5F73C1FD17A2FBCFD538D559606D.rev</code> file. Here the full fingerprint was applied in the new <code>.rev</code> filename</li>
<li>In the <code>private-keys-v1.d</code> directory were created <strong>two</strong> <code>&lt;40-random-characters&gt;.key</code> files</li>
</ul>
<p>I know that a <em>private</em> key is the same as a <em>secret</em> key. It about terms</p>
<p>Sorry for the following set of questions but because they are tight related I think is wise have all of them together</p>
<ol>
<li>Why was created <strong>two</strong> private keys in the &quot;private&quot; directory?</li>
<li>What is the purpose of each private key?</li>
<li>By whom is used each private key?</li>
<li>Where is located/stored the public key?</li>
</ol>
<p>For (1.) is possible apply the <code>cat</code> command and for (4.) the full fingerprint is generated from that public key so the latter must be read it from some place. And I am assuming is possible apply the <code>cat</code> command for the public key too.</p>

        


guid: https://security.stackexchange.com/q/280716
title: drupal_add_http_header and HTTP response splitting
author: D.W.
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280716/drupal-add-http-header-and-http-response-splitting

content:
            <p>Is <code>drupal_add_http_header</code> safe from HTTP response splitting?  For instance, does it automatically filter out or encode '\n' and '\r' in header values?</p>
<p>Or is it the caller's obligation to make sure that the header value does not contain '\n' or '\r'?</p>
<p>I couldn't see any particular defenses in <a href="https://api.drupal.org/api/drupal/includes%21bootstrap.inc/function/drupal_add_http_header/7.x" rel="nofollow noreferrer">its implementation</a>, but maybe Drupal inherits protections from PHP that aren't visible in that part of the code.  Wikipedia claims that <a href="https://en.wikipedia.org/wiki/HTTP_response_splitting" rel="nofollow noreferrer">most modern frameworks provide built-in protection against HTTP response splitting</a>, but I'm not sure whether that includes Drupal.</p>

        


guid: https://security.stackexchange.com/q/280720
title: GPG: What is the file that represents the "secret keyring" concept?
author: Manuel Jordan
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280720/gpg-what-is-the-file-that-represents-the-secret-keyring-concept

content:
            <p>About GPG and keys</p>
<ul>
<li>Each public key is stored in the <code>~/.gnupg/pubring.kbx</code> file (<em>correct me if it is not correct</em>)</li>
<li>Each public key <em>normally</em> has a pair of secret keys stored in the <code>~/.gnupg/private-keys-v1.d</code> directory. Where each secret key have the <code>.key</code> extension</li>
</ul>
<p>Now about the <code>man gpg</code> consider the following:</p>
<pre><code>--delete-keys name
       Remove  key  from the public keyring....
</code></pre>
<p>If my memory does not fail after to do a research about gpg the <em><strong>public</strong> keyring</em> is the mentioned <code>~/.gnupg/pubring.kbx</code> file (again <em>correct me if it is not correct</em>)</p>
<p>Now the reason of this post</p>
<p>Again about the <code>man gpg</code> consider the following:</p>
<pre><code>--delete-secret-keys name
       Remove key from the secret keyring....
</code></pre>
<p><strong>Question</strong></p>
<ul>
<li>What is the file that represents the <em><strong>secret</strong> keyring</em> concept?</li>
</ul>

        


guid: https://security.stackexchange.com/q/280725
title: Authorization Code Redirection URI Manipulation Doubts
author: Lorenzo Maselli
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280725/authorization-code-redirection-uri-manipulation-doubts

content:
            <p>I am studying  the security considerations chapter of oauth2 RFC 6749, but I am a bit confused about  Authorization Code Redirection URI Manipulation paragraph <a href="https://datatracker.ietf.org/doc/html/rfc6749#section-10.6" rel="nofollow noreferrer">10.6</a>:</p>
<blockquote>
<p>&quot;When requesting authorization using the authorization code grant<br />
type, the client can specify a redirection URI via the &quot;redirect_uri&quot;
parameter.  If an attacker can manipulate the value of the<br />
redirection URI, it can cause the authorization server to redirect<br />
the resource owner user-agent to a URI under the control of the<br />
attacker with the authorization code.</p>
<p>An attacker can create an account at a legitimate client and
initiate    the authorization flow.  When the attacker's user-agent is
sent to    the authorization server to grant access, the attacker
grabs the    authorization URI provided by the legitimate client and
replaces the    client's redirection URI with a URI under the control
of the    attacker.  The attacker then tricks the victim into
following the    manipulated link to authorize access to the
legitimate client.</p>
<p>Once at the authorization server, the victim is prompted with a<br />
normal, valid request on behalf of a legitimate and trusted client,<br />
and authorizes the request.  The victim is then redirected to an<br />
endpoint under the control of the attacker with the authorization<br />
code.  The attacker completes the authorization flow by sending the<br />
authorization code to the client using the original redirection URI<br />
provided by the client.  The client exchanges the authorization code<br />
with an access token and links it to the attacker's client account,<br />
which can now gain access to the protected resources authorized by<br />
the victim (via the client)&quot;.</p>
</blockquote>
<p>Why should an attacker create an account at a legitimate client and how is the access token linked to attacker account?</p>

        


guid: https://security.stackexchange.com/q/280728
title: How can I guarantee that sensitive data does not remain in memory in C#?
author: MechMK1
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280728/how-can-i-guarantee-that-sensitive-data-does-not-remain-in-memory-in-c

content:
            <p>I have software written in C#, which handles sensitive PDF documents (think, healthcare data). How can I ensure that this data is erased from memory as soon as it is no longer used?</p>
<p>Is it sufficient to just force garbage collection, such as the following</p>
<pre><code>// Obtain sensitive data
PdfDocument sensitiveDocument = Services.GetSensitiveDataFromUser();

// Do something with sensitive data
// ...

// Remove link to sensitiveDocument
sensitiveDocument = null;

// Force garbage collection
GC.Collect();
GC.WaitForPendingFinalizers();
</code></pre>

        


guid: https://security.stackexchange.com/q/280729
title: Would a passkey client that had a seed for backup break the specification?
author: User65535
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280729/would-a-passkey-client-that-had-a-seed-for-backup-break-the-specification

content:
            <p>I have been thinking about backing up passkeys, <a href="https://security.stackexchange.com/q/280054/274254">I asked a previous question</a> about backing up individual private keys.  This procedure requires one to create the backup after creating the account.</p>
<p>There are some analogies between the algorithm of passkeys and that of cryptocurrency, and there you have a seed that can be stored prior to use of the address.  This can be created and stored in a secure and rarely accessed location (a firesafe in the foundations of your house, or you Bank Safety Deposit Box seem good if it matters).  As long as your do not lose your computer, you  can create further address at will without accessing the seed.  Also this seed is much easier to store securely that the full private key.</p>
<p>It seems technically possible to make a passkey client that had a similar feature, perhaps by combining the seed and the remote domain as an input to a PRNG. <a href="https://passkeys.dev/docs/reference/specs/" rel="nofollow noreferrer">There seems to be a specification for passkeys from the FIDO Aliance</a>.  Would such a client break this or another specification?</p>
<p>I add as an edit, in response to the first answer, I wrote this question thinking that WebAuthn and passkey specifications would be one and the same thing.  If the answer is different for WebAuthn than passkeys then that woudl be of relevance.  This is in response to <a href="https://eprint.iacr.org/2020/1004.pdf" rel="nofollow noreferrer">the paper quoted in that answer</a>:</p>
<blockquote>
<p>1.2.1 Challenges. The attestation and unlinkability properties of WebAuthn impose some design restrictions on solutions for regaining account access.</p>
</blockquote>

        


guid: https://security.stackexchange.com/q/280731
title: iPhone hacked by iMessage photo? [closed]
author: ksanchez
url: https://security.stackexchange.com/questions/280731/iphone-hacked-by-imessage-photo
feedurl: https://security.stackexchange.com/feeds
content:
            <p>Can an iPhone be hacked by clicking on a photo in a text message?</p>
<p>If so, can the hacked iPhone infect your home network if it’s connected by WiFi?</p>

        


guid: https://security.stackexchange.com/q/280732
title: GPG: Where is the official documentation of the "kbxutil" command about the report's structure?
author: Manuel Jordan
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280732/gpg-where-is-the-official-documentation-of-the-kbxutil-command-about-the-repo

content:
            <p>About GPG, mostly of the <code>kbxutil</code> command, when is executed the following command:</p>
<ul>
<li><code>kbxutil ~/.gnupg/pubring.kbx</code></li>
</ul>
<p>The report has the following structure:</p>
<pre><code>BEGIN-RECORD: 0
Length: 32
Type:   Header
Version: 1
Flags:   0002 (openpgp)
created-at: 1635728253
last-maint: 1741100008
END-RECORD
BEGIN-RECORD: 1
Length: 1962
Type:   OpenPGP
Version: 1
Blob-Flags: 0000
Data-Offset: 126
Data-Length: 1816
Unhashed: 20
Key-Count: 2
Key-Info-Length: 28

...

</code></pre>
<p><strong>Question</strong></p>
<ul>
<li>Where is the official documentation of the <code>kbxutil</code> command about the report's structure?</li>
</ul>
<p>Some &quot;fields&quot; are obvious and others not.</p>
<p>Was executed the <code>man kbutil</code> command and is practically the same as:</p>
<ul>
<li><a href="https://manpages.debian.org/testing/gnupg-utils/kbxutil.1.en.html" rel="nofollow noreferrer">man - kbxutil -debian</a></li>
<li><a href="https://www.commandlinux.com/man-page/man1/kbxutil.1.html" rel="nofollow noreferrer">man - kbxutil</a></li>
</ul>
<p>So if exists a complete relation of each &quot;field&quot; with its respective description would be great.</p>
<p>Consider the following part:</p>
<pre><code>BEGIN-RECORD: 0
Length: 32
Type:   Header
Version: 1
Flags:   0002 (openpgp)
created-at: 1635728253

...

</code></pre>
<p><strong>Extra Question</strong></p>
<ul>
<li>What is the official and correct name relation?</li>
</ul>
<p>Is not clear if would be:</p>
<ul>
<li>field:value ?</li>
<li>key:value ?</li>
<li>property:value ?</li>
<li>keyword:argument ? (as SSH)</li>
</ul>

        


guid: https://security.stackexchange.com/q/280734
title: Jinja2: safe from XSS/SSTI if using select_autoescape and context dictionary?
author: Nils Deschrijver
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280734/jinja2-safe-from-xss-ssti-if-using-select-autoescape-and-context-dictionary

content:
            <p>In a FlaskRestX API for an e-commerce site, I use Jinja2 to generate a HTML template (to create a PDF purchase receipt). After reading the docs, and asking various AI models, I am still not convinced that my code is safe from SSTI or XSS.</p>
<p><em>I pass the user's first name to the template without any user input validation, as validation is not feasible for a name, relying on any Jinja library sanitisation functions</em>. I read the name from the JSON POST body, store it in the database and then insert it later in the template without any validation.</p>
<p>Escaping HTML is disabled by default, so it had to be enabled. Before enabling it, however, it merely displayed '&lt;b&gt;hi&lt;/b&gt;' but not <strong>hi</strong> -- great, but unclear why. Testing with '{{ 7*7 }}' or '7 * 7' does not evaluate and is merely represented as a string -- great, but unclear why.</p>
<p><strong>This code therefore seems safe from XSS or SSTI, but could you please confirm?</strong></p>
<p>Code:</p>
<pre><code>def generateTemplate(template_id, order):
        from jinja2 import Environment, FileSystemLoader, select_autoescape

        # Load the HTML template with Jinja2
        env = Environment(
            loader=FileSystemLoader(&quot;templates&quot;),
            autoescape=select_autoescape(['html', 'xml'])
            )
        template = env.get_template(template_id)
        return template.render(order=order)  # Safely insert variables into template?

# Generate template using Jinja2 whereby order is a Python dict (eg: {'first_name': first_name})
html_content = generateTemplate(template_id='receipt.html', order=order)
</code></pre>

        


guid: https://security.stackexchange.com/q/280735
title: mTLS - revoking client certificates and maintaining CRL
author: DayDayDay
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280735/mtls-revoking-client-certificates-and-maintaining-crl

content:
            <p>is it possible to revoke certificates manually without presenting the client certificate? i.e. provide certificate id only?</p>
<p>technically in the certificates db maintained by the CA, each entry has its certificate as V (valid) or R (revoked)</p>
<p>can i revoke certificates on based on the certificate id?</p>

        


guid: https://security.stackexchange.com/q/280740
title: What are the drawbacks of a 4-digits OTP email verification & authentication system?
author: Shoe
feedurl: https://security.stackexchange.com/feeds
url:
https://security.stackexchange.com/questions/280740/what-are-the-drawbacks-of-a-4-digits-otp-email-verification-authentication-sys

content:
            <p>I'm trying to implement an email verification system (and also authentication system).</p>
<p>I've decided against magic links as, even though they can be more secure, the user has a 50% change to begin the authentication flow from another device other than the one where they have access to email.</p>
<p>For OTPs I see a lot of systems use 6 digits and I'm wondering if an OTP with these characteristics is secure or if I'm missing something:</p>
<ul>
<li>4 digits</li>
<li>Time to input: 15 minutes</li>
<li>Max wrong attempts: 3</li>
<li>Max OTPs sent in a day: 5</li>
</ul>
<p>From what I understand the chance that a malicious actor guesses such a number is 0.0003% and incrementing the digits to 6 yields 0.000003%. I've read that for a user remembering 6 digits is much more frustrating than 4, so that's why 4 seem more of a balance between security and UX.</p>
<p>For my specific use case 0.0003% and 0.000003% are practically the same as a malicious actor cannot really do enough damage impersonating only one user and it needs to impersonate thousands (it's for a survey like system).</p>
<p>Is my reasoning sound or am I missing something?</p>

        


guid: https://blog.linuxmint.com/?p=4811
title: Monthly News – February 2025
author: Clem
url: https://blog.linuxmint.com/?p=4811
feedurl: https://blog.linuxmint.com/?feed=rss2
content:
<p>Hi everyone,</p>
<p>Many thanks for your donations and support.</p>
<p>Here are the news for this month.</p>
<p><strong>Important Firefox Update</strong></p>
<p>On March 14, 2025, a root certificate used by Firefox will expire.</p>
<p>When this happen, Firefox version 128 (and lower) will suffer significant issues related to:</p>
<ul>
<li>configuration</li>
<li>add-ons</li>
<li>signed content</li>
<li>DRM-protected media playback</li>
</ul>
<p>To avoid these problems, make sure you&#8217;re up to date in your Update Manager. Press Refresh and apply all updates.</p>
<p>This is important for security reasons, and in this case it&#8217;s also important to avoid regressions.</p>
<p>Firefox 135.0.1 is available on all supported Linux Mint releases.</p>
<p>Firefox 135.0.1 was also sent as an emergency update to the following discontinued releases:</p>
<ul>
<li>Linux Mint 19.3, 19.2, 19.1 and 19</li>
<li>LMDE 5</li>
<li>LMDE 4</li>
</ul>
<p>If you are using a discontinued version of Linux Mint (20 or older) or LMDE (5 or older) please upgrade or reinstall Linux Mint.</p>
<p>For more information on upgrades read <a href="https://linuxmint-user-guide.readthedocs.io/en/latest/upgrade.html">https://linuxmint-user-guide.readthedocs.io/en/latest/upgrade.html</a>.</p>
<p><strong>Website Maintenance</strong></p>
<p>The backend for the main Linux Mint website was completely rewritten and containerized. This allowed us to minimize the interactions between the site and the hosting server, making it easier to upgrade the server and maintain/develop the website on different computers.</p>
<p>Sometimes we make a tiny little change and everybody loves it. This time it&#8217;s the opposite. It took a lot of time to get this done, yet nobody will be able to tell the difference.</p>
<p>The URLs were kept unchanged to avoid 404 errors.</p>
<p>Stripe was integrated and is now fully supported. Donations made with Stripe are now automatically handled and included in our stats.</p>
<p><strong>Cinnamon App Menu<br />
</strong></p>
<p>Work started on a redesign of the Cinnamon application menu.</p>
<p>This project is led by Joseph in our development team.</p>
<p>Here&#8217;s a preview of what it currently looks like:</p>
<p><a href="https://blog.linuxmint.com/upload/2025/02/cinnamon-menu.png"><img fetchpriority="high" decoding="async" class="alignnone size-medium wp-image-4813" src="https://blog.linuxmint.com/upload/2025/02/cinnamon-menu-744x760.png" alt="" width="744" height="760" srcset="https://blog.linuxmint.com/upload/2025/02/cinnamon-menu-744x760.png 744w, https://blog.linuxmint.com/upload/2025/02/cinnamon-menu-700x715.png 700w, https://blog.linuxmint.com/upload/2025/02/cinnamon-menu-420x429.png 420w, https://blog.linuxmint.com/upload/2025/02/cinnamon-menu-768x785.png 768w, https://blog.linuxmint.com/upload/2025/02/cinnamon-menu.png 1225w" sizes="(max-width: 744px) 100vw, 744px" /></a></p>
<p><strong>Desktop and Release Stats</strong></p>
<p>Our Datadog stats show us the following breakdown for our different desktops:</p>
<p><a href="https://blog.linuxmint.com/upload/2025/03/stats.png"><img decoding="async" class="alignnone size-medium wp-image-4821" src="https://blog.linuxmint.com/upload/2025/03/stats-744x526.png" alt="" width="744" height="526" srcset="https://blog.linuxmint.com/upload/2025/03/stats-744x526.png 744w, https://blog.linuxmint.com/upload/2025/03/stats-700x495.png 700w, https://blog.linuxmint.com/upload/2025/03/stats-420x297.png 420w, https://blog.linuxmint.com/upload/2025/03/stats-768x543.png 768w, https://blog.linuxmint.com/upload/2025/03/stats.png 832w" sizes="(max-width: 744px) 100vw, 744px" /></a></p>
<p>Note that these stats reflect downloads over the last 7 days, not usage.</p>
<p>Cinnamon represents 60% of our downloads, followed by Xfce and MATE at roughly 20% each.</p>
<p>The following chart gives us a breakdown per release:</p>
<p><a href="https://blog.linuxmint.com/upload/2025/03/releases.png"><img decoding="async" class="alignnone size-medium wp-image-4822" src="https://blog.linuxmint.com/upload/2025/03/releases-744x515.png" alt="" width="744" height="515" srcset="https://blog.linuxmint.com/upload/2025/03/releases-744x515.png 744w, https://blog.linuxmint.com/upload/2025/03/releases-700x484.png 700w, https://blog.linuxmint.com/upload/2025/03/releases-420x291.png 420w, https://blog.linuxmint.com/upload/2025/03/releases-768x531.png 768w, https://blog.linuxmint.com/upload/2025/03/releases.png 834w" sizes="(max-width: 744px) 100vw, 744px" /></a></p>
<p>Linux Mint 22.1 represents 70%, followed by LMDE 6 at 14%, Mint 22 at 8% and Mint 21.3, still relevant also at around 8%.</p>
<p>As previously announced, Linux Mint 22.x will not have an EDGE release. Starting with Linux Mint 22.2, the HWE kernel will be used.</p>
<p><strong>Sponsorships:</strong></p>
<p>Linux Mint is proudly sponsored by:</p>
<table>
<tbody>
<tr>
<td valign="top">Gold Sponsors:<br />
<a href="https://www.eukhost.com/vps-hosting"><img decoding="async" title="Linux VPS Hosting" src="https://www.linuxmint.com/web/img/sponsors/upstream/eukhost.svg" alt="Linux VPS Hosting" /></a><br />
<a href="https://ipv6.rs/"><img decoding="async" title="IPv6.rs" src="https://www.linuxmint.com/web/img/sponsors/upstream/ipv6rs.svg" alt="IPv6.rs" /></a><br />
Silver Sponsors:<br />
<a href="https://www.datadoghq.com/"><img decoding="async" title="Datadog" src="https://www.linuxmint.com/web/img/sponsors/upstream/datadog.svg" alt="Datadog" /></a><br />
<a href="https://sucuri.net/"><img decoding="async" title="Sucuri" src="https://www.linuxmint.com/web/img/sponsors/upstream/sucuri.svg" alt="Sucuri" /></a><br />
<a href="http://linuxmint.thinkpenguin.com/"><img decoding="async" title="ThinkPenguin: For Everything Freedom" src="https://www.linuxmint.com/web/img/sponsors/upstream/think-penguin.png" alt="ThinkPenguin: For Everything Freedom" /></a></td>
<td valign="top">Bronze Sponsors:<br />
<a href="http://www.vaultnetworks.com"><img decoding="async" title="Vault Networks *" src="https://www.linuxmint.com/web/img/sponsors/upstream/vaultnetworks.png" alt="Vault Networks *" /></a><br />
<a href="http://www.ayksolutions.com/?utm_source=linuxmint.com&amp;utm_medium=banner&amp;utm_content=235x55banner&amp;utm_campaign=linuxmint235x55bannerROS"><img decoding="async" title="AYKsolutions Server &amp; Cloud Hosting" src="https://www.linuxmint.com/web/img/sponsors/upstream/ayk.png" alt="AYKsolutions Server &amp; Cloud Hosting" /></a><br />
<a href="https://www.hso.co.uk/"><img decoding="async" title="hSo" src="https://www.linuxmint.com/web/img/sponsors/upstream/hso.svg" alt="hSo" /></a><br />
<a href="https://agile.coach/de"><img decoding="async" title="Agile.Coach" src="https://www.linuxmint.com/web/img/sponsors/upstream/agile-coach.png" alt="Agile.Coach" /></a><br />
<a href="https://www.bgasoft.com/"><img decoding="async" title="BGASoft Inc" src="https://www.linuxmint.com/web/img/sponsors/upstream/bgasoft.png" alt="BGASoft Inc" /></a><br />
<a href="https://www.c0mplex1.com/"><img decoding="async" title="C0MPLÉX1 SEO" src="https://www.linuxmint.com/web/img/sponsors/upstream/complex1.png" alt="C0MPLÉX1 SEO" /></a><br />
<a href="https://deeptide.com"><img decoding="async" title="DeepTide, LLC" src="https://www.linuxmint.com/web/img/sponsors/upstream/deeptide.png" alt="DeepTide, LLC" /></a><br />
<a href="https://hamonikr.org/"><img decoding="async" title="HamoniKR" src="https://www.linuxmint.com/web/img/sponsors/upstream/hamonikr.png" alt="HamoniKR" /></a><br />
<a href="https://tinken.com/"><img decoding="async" title="Tinken Inc" src="https://www.linuxmint.com/web/img/sponsors/upstream/tinken.svg" alt="Tinken Inc" /></a><br />
<a href="https://www.vantpc.es"><img decoding="async" title="VANT" src="https://www.linuxmint.com/web/img/sponsors/upstream/vant-pc.svg" alt="VANT" /></a></td>
</tr>
</tbody>
</table>
<p><strong>Donations in January:</strong></p>
<p>A total of $18,676 were raised thanks to the generous contributions of 668 donors:</p>
<p><img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/bg.png" height="13" /> $300 (13th donation), Plamen Penev Atanasov<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $250, Victor B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $200 (3rd donation), Edmund B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $200, Edgar Y.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $200, Robert F D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $150, Adam S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $140, RS<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $120 (8th donation), Markus S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $108 (9th donation), Christian G. aka &#8220;Chrissy&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $108 (5th donation), Kristoff S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $108 (2nd donation), Peter V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $108, Chris W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/pl.png" height="13" /> $102, Data Eng team on behalf of Tymek!<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $100 (37th donation), Wolfgang P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (22nd donation), Philip W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (18th donation), John Mc aka &#8220;Land Research Project&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $100 (9th donation), Jean P. R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (9th donation), Michael C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (7th donation), John B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (5th donation), Charles H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (5th donation), James F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (4th donation), Philip M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (3rd donation), David S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (3rd donation), Donald C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (3rd donation), Emily L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (3rd donation), Vincent P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (2nd donation), Charles W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100 (2nd donation), Steven W B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100, Curtis K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100, Daniel W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100, David T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100, Donkeydude<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100, Gary H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100, James P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100, Justin M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100, Kyle T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $100, Pierre-emmanuel V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100, Robert H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $100, Steven M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $81 (3rd donation), Thomas B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $80 (4th donation), Terry Ya!<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $72 (2nd donation), Andy Frank S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $54 (21st donation), Bernard H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/lu.png" height="13" /> $54 (13th donation), Roland H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ch.png" height="13" /> $54 (10th donation), Mimi<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $54 (9th donation), Jorge R. R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54 (9th donation), Peter W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $54 (8th donation), Johanan M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ch.png" height="13" /> $54 (7th donation), Daniel K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ch.png" height="13" /> $54 (7th donation), Jean-luc W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54 (7th donation), Nurettin G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54 (7th donation), Rolf-Jürgen G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54 (6th donation), erwn16 aka &#8220;erwn&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $54 (6th donation), Gerald H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/pl.png" height="13" /> $54 (6th donation), Marcin G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54 (6th donation), Thomas R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/in.png" height="13" /> $54 (5th donation), Bobby<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $54 (5th donation), Guenter B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $54 (5th donation), Winfried B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gr.png" height="13" /> $54 (4th donation), Athanasios M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/za.png" height="13" /> $54 (4th donation), Bernard R. aka &#8220;Beer4661&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $54 (4th donation), Gerard B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54 (4th donation), Karl-heinz P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $54 (4th donation), Mark K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ch.png" height="13" /> $54 (4th donation), Stefan N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54 (3rd donation), Siegfried S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54 (2nd donation), Alfred G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/pt.png" height="13" /> $54 (2nd donation), António Salsinha &#8211; Graphic Designer<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54 (2nd donation), Christian S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/hr.png" height="13" /> $54 (2nd donation), Domagoj Ž.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54 (2nd donation), Enrico V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $54 (2nd donation), James C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $54 (2nd donation), Klaas M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/be.png" height="13" /> $54 (2nd donation), Mori aka &#8220;Romio&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $54 (2nd donation), Peter S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54, Andreas K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $54, Andrew R N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $54, Craig E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54, Dieter H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/be.png" height="13" /> $54, Dirk M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ch.png" height="13" /> $54, Dominique S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $54, Francesco G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fi.png" height="13" /> $54, Hannu H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54, Jens M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54, Jonathan H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/no.png" height="13" /> $54, Jostein T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54, Marc G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $54, Michael J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $54, Olivier C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $54, Pablo V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54, Rainer Werner B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $54, René B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $54, Roberto G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $54, Viv H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $54, Walter V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $54, Walter W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $54, WebTradeSolutions<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (91st donation), Anthony C. aka &#8220;ciak&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (16th donation), An L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $50 (10th donation), Ian H White.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (10th donation), Kyle S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $50 (7th donation), David V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (6th donation), Herman B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (6th donation), James G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (6th donation), William C. aka &#8220;N4ES&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $50 (5th donation), Jaime F. Zarama<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (5th donation), Salomon G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (4th donation), Mike H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (4th donation), Mothy<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (3rd donation), Arestor B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (3rd donation), Derek B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (3rd donation), Don Jr.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (3rd donation), Jay V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (3rd donation), Karl J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (3rd donation), M J W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (3rd donation), Patrick N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (3rd donation), Patrick T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (3rd donation), Shane B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ch.png" height="13" /> $50 (2nd donation), Andri A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (2nd donation), Jason G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (2nd donation), John M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (2nd donation), Joseph B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ch.png" height="13" /> $50 (2nd donation), Martin M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/cz.png" height="13" /> $50 (2nd donation), Michael F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50 (2nd donation), Stephen L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, 4 FUN LLC<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Alan G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Alfred C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Allen S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Carl F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Christopher M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Craig H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Douglas C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Glenn S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Hector G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Jaime A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, John B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Jonathan S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Kenneth B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Kenneth S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Liam H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Matthew J Hunt<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Miles C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Peter N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $50, Peter N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Robert P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Russell T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Tom M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $50, Vincent E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $45 (6th donation), William L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $44 (2nd donation), Joachim F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/cz.png" height="13" /> $43 (2nd donation), Martin .<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $43, John N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fi.png" height="13" /> $43, Toni<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $40 (32nd donation), Hemant Patel<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $40 (8th donation), Darin W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $40 (5th donation), Douglas R. aka &#8220;darco&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $40 (2nd donation), Christopher W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $36, Jens V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $36, Joachim K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $35, Stefan K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $35, Tom M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $33 (2nd donation), Christopher B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $32 (13th donation), H ScottB<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $32 (7th donation), Wolfgang S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $32 (6th donation), Gerardo A. M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $32 (6th donation), Jürgen H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $32 (3rd donation), Lukas P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $32 (2nd donation), Gerard O.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $32, Claude V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $32, Jan L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $32, Thomas Schmall<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $30 (24th donation), Kevin S. aka &#8220;<a href="http://kshook.ca">K R Shook Consulting</a>&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $30 (11th donation), Thomas C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $30 (6th donation), Anonymous<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $30 (5th donation), aka &#8220;GM46&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $30 (3rd donation), macglen<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/is.png" height="13" /> $30 (2nd donation), Petur K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $30, Axel W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $27 (12th donation), Alexander M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $27 (5th donation), <a href="https://t.me/elespiritudekusanagi">Opik Oort</a><br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $27 (4th donation), Rob B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $27 (3rd donation), Florian H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $27 (3rd donation), Heiko K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $27 (2nd donation), Matthias W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $27, Andreas M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $27, Bernhard K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $27, Fabian B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $27, Nico M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/be.png" height="13" /> $27, Pascal V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $27, Philippe GM<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $25 (83rd donation), Andreas S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/se.png" height="13" /> $25 (47th donation), <a href="https://linuxmint.se/forum">Linux Mint Sverige</a><br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $25 (14th donation), Andrew Currie<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25 (9th donation), John T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ro.png" height="13" /> $25 (6th donation), <a href="https://github.com/mihnea-radulescu">Mihnea Rădulescu</a><br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25 (4th donation), John A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25 (4th donation), Myron J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25 (3rd donation), James H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25 (3rd donation), John N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25 (3rd donation), Robert O.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25 (2nd donation), Larry G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25 (2nd donation), Pablo J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25, D L R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25, Frank Z.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25, Hector R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $25, John B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $25, Matt W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $23, Rooter<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (56th donation), Peter E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (24th donation), Ke C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (22nd donation), Stefan W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (18th donation), Benjamin W. aka &#8220;UncleBens&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/sk.png" height="13" /> $22 (18th donation), Marek S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (11th donation), Dirk M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (10th donation), Daniel Gruhn<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/sk.png" height="13" /> $22 (8th donation), Peter C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $22 (8th donation), Robert D. aka &#8220;Wilbobob&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $22 (7th donation), Alberto A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/no.png" height="13" /> $22 (7th donation), Erik W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22 (7th donation), John V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/cz.png" height="13" /> $22 (7th donation), <a href="https://pancho.cz">Pavel P.</a><br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/pl.png" height="13" /> $22 (7th donation), Waldemar P. aka &#8220;valldek&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/sk.png" height="13" /> $22 (6th donation), Jan S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22 (6th donation), Jean, Jacques G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $22 (6th donation), Jose M. K. Z.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22 (6th donation), Thomas M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $22 (5th donation), Benoit R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (5th donation), Raik D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/se.png" height="13" /> $22 (5th donation), Stefan E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $22 (5th donation), Wouter W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (4th donation), Daniel K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (4th donation), Dragomir Deltchev aka &#8220;Drago&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $22 (3rd donation), Andrea C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $22 (3rd donation), Edward A Lockhart<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $22 (3rd donation), Frits M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $22 (3rd donation), Giorgio B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/dk.png" height="13" /> $22 (3rd donation), Henning P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $22 (3rd donation), John Baines<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $22 (3rd donation), Luca V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $22 (3rd donation), Odie P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (3rd donation), Raffael V. aka &#8220;raffael&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/pl.png" height="13" /> $22 (3rd donation), Robert L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22 (3rd donation), Samy S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/pl.png" height="13" /> $22 (3rd donation), Sławomir P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $22 (2nd donation), Andrea C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fi.png" height="13" /> $22 (2nd donation), Antero K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $22 (2nd donation), Benito R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (2nd donation), Bernd B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (2nd donation), Bernd H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (2nd donation), Christian M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ch.png" height="13" /> $22 (2nd donation), François D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (2nd donation), G. L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $22 (2nd donation), Gb K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22 (2nd donation), Jean-yves D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (2nd donation), Jens R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22 (2nd donation), Loic D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $22 (2nd donation), <a href="https://www.control-zeta.es">manuelvh</a><br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (2nd donation), Mario D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (2nd donation), Michael A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (2nd donation), Michael J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (2nd donation), Mirko Z.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ch.png" height="13" /> $22 (2nd donation), Philippe W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $22 (2nd donation), Reinhard R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/pl.png" height="13" /> $22 (2nd donation), Szymon N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ro.png" height="13" /> $22 (2nd donation), Tiberiu N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22 (2nd donation), Wolfgang P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Achim S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22, André G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Andreas F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $22, Andrew S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Arwind S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Christoph W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/uy.png" height="13" /> $22, David P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $22, Denick M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $22, Dieter B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $22, Dirk S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/lv.png" height="13" /> $22, Edgars S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/hu.png" height="13" /> $22, Endre M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Felix G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $22, Francisco J G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Frank K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22, Georges H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22, Georges M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $22, Gideon K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $22, Giovanni F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Harald Und Beate P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Harry P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $22, Hendrikus T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22, Joseph D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $22, Karl K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Marc H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $22, Marco T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Marcus H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Matthias E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Matthias K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Michael K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22, Michel S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Mike G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Nicolas S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $22, Noelle A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Oleksandr V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $22, Pablo M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/lt.png" height="13" /> $22, Rolandas B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/be.png" height="13" /> $22, Ronny G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $22, Salvatore C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $22, Simon W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Sven B. aka &#8220;OldFox&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Sven L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Thomas G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Thomas J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Thomas S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Viktor W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Volker B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Werner M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $22, Wolfgang R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $20 (65th donation), Bryan F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (21st donation), Dave S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ru.png" height="13" /> $20 (16th donation), <a href="https://www.linkedin.com/in/vladimir-litvinenko">Vladimir Litvinenko</a><br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/br.png" height="13" /> $20 (15th donation), Joao Kodama<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $20 (14th donation), Terry B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (12th donation), John W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/by.png" height="13" /> $20 (10th donation), <a href="http://andrew.sinkevitch.name/">Andrei Sinkevich</a><br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $20 (8th donation), David K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (7th donation), Doug S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (7th donation), Kendall G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (7th donation), Lal C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (7th donation), Stacey B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (7th donation), Thomas N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $20 (6th donation), Gareth L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (6th donation), Robert A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (6th donation), Robert S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (5th donation), Eric W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $20 (5th donation), John P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (5th donation), Nicholas B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (4th donation), Nathan B. aka &#8220;Diginate &#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $20 (3rd donation), Ben M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (3rd donation), Michael R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (3rd donation), Robert W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (3rd donation), Steven W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $20 (3rd donation), Tony W<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (3rd donation), Yotuel G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $20 (2nd donation), Adam D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ro.png" height="13" /> $20 (2nd donation), Alex M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (2nd donation), Andrew R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $20 (2nd donation), Goran M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ph.png" height="13" /> $20 (2nd donation), Hans-dieter W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $20 (2nd donation), Ivo Kremer<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (2nd donation), John G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (2nd donation), Jonathan F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (2nd donation), Lee B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $20 (2nd donation), Mark J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $20 (2nd donation), Paul C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/bg.png" height="13" /> $20 (2nd donation), Pencho P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (2nd donation), Phillip B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20 (2nd donation), Ron G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Chester J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/br.png" height="13" /> $20, Claudio Leonel S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Clifford J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Daniel C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, David G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, David H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, David M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $20, Dirk A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Edward G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Eric K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Fred P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Frederick J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $20, Gilbert T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Gregg D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $20, Halt Productions<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Jack B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ch.png" height="13" /> $20, Jean-cédric F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Jimmy H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $20, John B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $20, John H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, John McKissick<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, John S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Jonathan M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Justin S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Lucas R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Luis E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Michael H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Michael H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $20, Norman C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $20, Parsifal H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $20, Paul J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Pradeep Gowda aka &#8220;<a href="https://github.com/btbytes">btbytes</a>&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/_united_nations.png" height="13" /> $20, Quebec<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Raymond R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $20, S &amp; CV Marshall<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, SAVE4ENERGY<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, Scott S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/is.png" height="13" /> $20, Tomasz K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $20, Werner F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $20, William W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $19 (2nd donation), CercLL d&#8217;Entraide et Réseau Coopératif Autour des Logiciels Libres (LUG of Marseille, FR)<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $16 (2nd donation), Günter S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $16, Alain E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $16, Michael A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $16, Michael R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $15 (16th donation), Michel C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $14 (103rd donation), Johann J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gr.png" height="13" /> $13 (9th donation), Theofanis-Emmanouil T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/hu.png" height="13" /> $13 (4th donation), Kiss J. aka &#8220;<a href="https://www.lowstar.hu/">lowstar</a>&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $13 (2nd donation), Xabier A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $13, Gordon L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $13, Jean Francois B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ba.png" height="13" /> $12 (9th donation), Adian K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $12 (5th donation), John W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $12 (2nd donation), Alessandro S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (57th donation), Daniel S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $11 (33rd donation), <a href="https://tugaleres.com/">Tugaleres.com</a><br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ua.png" height="13" /> $11 (31st donation), Denys G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (19th donation), Abdulkadir H. aka &#8220;Askari&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/be.png" height="13" /> $11 (18th donation), Marc V. K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (17th donation), Michael P. aka &#8220;<a href="https://www.perron.de/">www.perron.de</a>&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (15th donation), Christian B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (13th donation), Aimless Games<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $11 (13th donation), Dominique M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $11 (13th donation), <a href="http://www.linuxirun.com">JCSenar &#8211; linuxirun.com</a><br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $11 (13th donation), Ronald S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $11 (12th donation), Rupert B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (11th donation), Axel R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (11th donation), Darius O.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $11 (11th donation), Juergen M. B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $11 (10th donation), Laurent M<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $11 (10th donation), Roland Smit<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (7th donation), Joerg B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (6th donation), Hamid N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11 (6th donation), Mario I.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (6th donation), Thomas L. aka &#8220;hensys&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (5th donation), Günther H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $11 (5th donation), HM Magnusson<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $11 (5th donation), Steven J. L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fi.png" height="13" /> $11 (4th donation), Aleksi L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (4th donation), Andre T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/hu.png" height="13" /> $11 (4th donation), Balazs S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11 (4th donation), Carlo B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $11 (4th donation), Christophe L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11 (4th donation), Davide M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $11 (4th donation), Erich G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11 (4th donation), Fabio<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (4th donation), Gerhard H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11 (4th donation), Nabil aka &#8220;Billy&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $11 (4th donation), Thomas B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/bg.png" height="13" /> $11 (4th donation), Yanko N.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $11 (3rd donation), Arnis D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11 (3rd donation), Daniele V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11 (3rd donation), Giovanni P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (3rd donation), Martin G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11 (3rd donation), Pasquale D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $11 (3rd donation), X F C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $11 (2nd donation), Alan L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $11 (2nd donation), Alejandro G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ee.png" height="13" /> $11 (2nd donation), Aleksei V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11 (2nd donation), Alessio R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/lt.png" height="13" /> $11 (2nd donation), Arvidas S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (2nd donation), Christian F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gr.png" height="13" /> $11 (2nd donation), Dinos E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $11 (2nd donation), Francisco Rafael H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (2nd donation), Frederik H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $11 (2nd donation), Jasper V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (2nd donation), Jörg H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $11 (2nd donation), Kenzo Manuel<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/se.png" height="13" /> $11 (2nd donation), Paul dB<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (2nd donation), Ronny K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11 (2nd donation), Walter W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $11, Aitor S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11, Alberto Z.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Andrii Y.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Anna E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $11, Anonymous<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11, Antonio M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Artem Ignatyev aka &#8220;ZaZooBred&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Bastian H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $11, Bernard H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $11, Chris P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $11, Chris W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Christian M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Christopher K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Dieter T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Dirk R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gr.png" height="13" /> $11, Fardis M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $11, Florian S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Frank W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $11, Frédéric L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11, Gaetano C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/cy.png" height="13" /> $11, Georgios T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $11, Ger P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Gerd S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11, Giampaolo V.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11, Gianluigi D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11, Giovanni S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $11, Giusseppe Domínguez aka &#8220;<a href="https://giusseppe.net">gsp</a>&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/hr.png" height="13" /> $11, Gojko M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/at.png" height="13" /> $11, Harald M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $11, Jacques P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $11, James K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $11, John D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $11, Jonathan E D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $11, Jose V M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Julian K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Klaus B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Klaus-dieter K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Lars W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/se.png" height="13" /> $11, linux-helt-enkelt v/Ketil Ervik<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Lydia S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $11, Malcolm J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $11, Marc L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Markus K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Mathias S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11, Mattia T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $11, Michal G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Michelle B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/be.png" height="13" /> $11, Mik Prims<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11, Mirko S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11, Moreno M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ch.png" height="13" /> $11, Rolf S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/pl.png" height="13" /> $11, Seweryn M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fi.png" height="13" /> $11, Simo P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/fr.png" height="13" /> $11, Soutarson P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Stefan L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Stefan W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Stephane S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Taylan G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Thomas M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/it.png" height="13" /> $11, Tzvetan Hristov H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ro.png" height="13" /> $11, Vlad I.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $11, Walter R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $11, Yvonne H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (106th donation), Thomas C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $10 (51st donation), Philip Woodward<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/br.png" height="13" /> $10 (16th donation), Thevirtua<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/be.png" height="13" /> $10 (15th donation), Benjamin S. aka &#8220;fantasybenji&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $10 (10th donation), Neil B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (10th donation), TONY aka &#8220;<a href="https://www.ebay.com/usr/struzzin_electronics">STRUZZIN ELECTRONICS</a>&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/nl.png" height="13" /> $10 (8th donation), redman<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (6th donation), Jody M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (5th donation), Daniel Greg aka &#8220;006.5&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (5th donation), Rimon K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $10 (5th donation), Szymon R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (5th donation), William C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $10 (4th donation), Harry W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/br.png" height="13" /> $10 (4th donation), Henrique D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (4th donation), John H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $10 (4th donation), Stan aka &#8220;<a href="https://dataful.tech/">Dataful.Tech</a>&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (4th donation), Steven L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $10 (3rd donation), Evan M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (3rd donation), Gregory M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (3rd donation), Ian E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $10 (3rd donation), N K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (2nd donation), Edward M K.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (2nd donation), Gene E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $10 (2nd donation), Kai P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (2nd donation), Michael E.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (2nd donation), Mike P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10 (2nd donation), Mj J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/br.png" height="13" /> $10 (2nd donation), Paulo De Tarso A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10,<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $10, Alex B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Allen T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Ari G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $10, Blair&#8217;s Computer Service<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $10, Brendan C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Cody G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Craig D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Dale H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ca.png" height="13" /> $10, David W.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Davis J.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Dzmitry B.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Edward H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Ground Glass Productions<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Jim M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Jonathan T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Juan G.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Justin F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Luther F.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Melvin R.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ro.png" height="13" /> $10, <a href="https://myindex.ro">MyIndex</a><br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ae.png" height="13" /> $10, Nicholas P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ro.png" height="13" /> $10, <a href="https://www.aiseo.ro">Optimizare SEO</a><br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Oriel C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Richard L.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/au.png" height="13" /> $10, Trevor D.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Tyler S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $10, Wallace A.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/se.png" height="13" /> $9, Daniel P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $9, Michael Philipp M.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/pl.png" height="13" /> $8 (30th donation), Blazej P. aka &#8220;bleyzer&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/de.png" height="13" /> $8 (2nd donation), Dirk B. aka &#8220;sur4k&#8221;<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/us.png" height="13" /> $7, Thomas C.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/be.png" height="13" /> $6 (94th donation), Eugene T.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/ua.png" height="13" /> $6 (41st donation), Oleksandr P.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/pl.png" height="13" /> $6 (5th donation), Józef S.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/gb.png" height="13" /> $6, Anastasios I.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/es.png" height="13" /> $6, Arnau H.<br />
<img decoding="async" class="flag" src="https://www.linuxmint.com/web/img/flags/_united_nations.png" height="13" /> $281 from 66 smaller donations</p>
<p>If you want to help Linux Mint with a donation, please visit <a href="https://www.linuxmint.com/donors.php">https://www.linuxmint.com/donors.php</a></p>
<p><strong>Patrons:</strong></p>
<p>Linux Mint is proudly supported by 1,489 patrons, for a sum of $4,090 per month.</p>
<p>To become a Linux Mint patron, please visit <a href="https://www.patreon.com/linux_mint">https://www.patreon.com/linux_mint</a></p>


