# rss_item

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/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> 


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://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/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
author: Manuel Jordan
feedurl: https://security.stackexchange.com/feeds
title:
GPG: Where is the official documentation of the "kbxutil" command about the report's structure? [closed]

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 />
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guid: http://boards.4chan.org/lit/thread/24249426
title: It's better than A Crown of Swords so far but holy shit...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249426#24249426
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741666690152954.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741666690152954s.jpg'></a> It&#039;s better than A Crown of Swords so far but holy shit do I want Tylin to explode and for all of Ebou Dar to also explode. I never want to hear about this fucking place ever again. 


guid: http://boards.4chan.org/lit/thread/24249431
title: The last two books I read were Drive by James Sallis and Do Androids...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249431#24249431
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741666899961183.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741666899961183s.jpg'></a> The last two books I read were Drive by James Sallis and Do Androids Dream of Electric Sheep. I don&#039;t know where to go from here. 


guid: http://boards.4chan.org/lit/thread/24249461
title: WOW a must read
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249461#24249461
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741668398621261.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741668398621261s.jpg'></a> WOW a must read 


guid: http://boards.4chan.org/lit/thread/24249483
title: dishwashercore
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249483#24249483
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741668913942127.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741668913942127s.jpg'></a> what literature do people who work meditative and menial jobs read? 


guid: http://boards.4chan.org/lit/thread/24249501
title: he black
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249501#24249501
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741669518144074.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741669518144074s.jpg'></a> he black 


guid: http://boards.4chan.org/lit/thread/24249545
title: /grrm/ - George R. R. Martin General #54
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249545#24249545
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741671234178754.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741671234178754s.jpg'></a> average day in the riverlands edition<br><br>ASOIAF wiki: https://awoiaf.westeros.org/index.p<wbr>hp/Main_Page<br>Blog: https://georgerrmartin.com/notablog<wbr>/<br>Old blog: https://grrm.livejournal.com/<br>So Spake Martin (interviews): https://westeros.org/citadel/ssm/<br>Book search: https://asearchoficeandfire.com/<br>SSM search: https://cse.google.com/cse?cx=00688<wbr>8510641072775866:vm4n1jrzsdy<br>General search: http://searcherr.work/<br>TWOW samples: https://archive.org/details/4114405<wbr>66-the-winds-of-winter-released-cha<wbr>pters<br><br>old: &gt;&gt;24237602 


guid: http://boards.4chan.org/lit/thread/24249568
title: Any self help books not tailored for NPCs and Facebook moms?...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249568#24249568
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741672564189015.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741672564189015s.jpg'></a> Any self help books not tailored for NPCs and Facebook moms?<br><br>They all seem blunt and repetitive the only notable works that aren&#039;t are actual philosophical works and Robert Greene bibliography. 


guid: http://boards.4chan.org/lit/thread/24249596
title: are men simply more evil than women?
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249596#24249596
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741674020103512.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741674020103512s.jpg'></a> after all, aren&#039;t men the one who rape and steal? after all, aren&#039;t men commit most of the crimes out there?<br><br>were the radical feminists right all along about men evil? what are some of the literatures that discuss this very topic of sex and gender in a greater detail? 


guid: http://boards.4chan.org/lit/thread/24249617
title: If you don't relate to Humbert Humbert,
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249617#24249617
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741674752287457.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741674752287457s.jpg'></a> you are gay. 95% of men have the same urges as Humbert. If you do not, you are abnormal. 


guid: http://boards.4chan.org/lit/thread/24249637
title: I cried
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249637#24249637
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741675772927114.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741675772927114s.jpg'></a> We all want to be Alyoshas of our lives but in reality we are just Rakitins and Smerdyakovs 


guid: http://boards.4chan.org/lit/thread/24249647
title: >Seller puts a sticker on the book that...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249647#24249647
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741676164756142.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741676164756142s.jpg'></a> <span class="quote">&gt;Seller puts a sticker on the book that you can&#039;t get off without damaging the book</span> 


guid: http://boards.4chan.org/lit/thread/24249649
title: What are your /lit/ ambitions?
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249649#24249649
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741676248363869.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741676248363869s.jpg'></a> My /lit/ ambition is to become a translator. I am working towards mastering my mother tongue by reading whatever literature has been written in my language by the old masters. I will then use these skills to translate many great works of literature so that they can be read in my language for others. My other /lit/ ambition is to become rich enough to build and fund a library in my small town.<br><br>What about you? 


guid: http://boards.4chan.org/lit/thread/24249668
title: The Asian Saga
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249668#24249668
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741677619530672.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741677619530672s.jpg'></a> Is this extreme slop or does it have something to say?<br><br>My mom loves it. 


guid: http://boards.4chan.org/lit/thread/24249670
title: Did Hal make the right decision?
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249670#24249670
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741677717180729.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741677717180729s.jpg'></a> Did Hal make the right decision? 


guid: http://boards.4chan.org/lit/thread/24249682
title: She's honestly so fucking sexy, even now at her age
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249682#24249682
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741678589628127.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741678589628127s.jpg'></a> She&#039;s honestly so fucking sexy, even now at her age.<br><br>I don&#039;t know what it is...but man...<br><br>Decent writer too. 


guid: http://boards.4chan.org/lit/thread/24249699
title: Why does he filter so much Muslims???
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249699#24249699
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741679182124894.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741679182124894s.jpg'></a> Guenon bros?? 


guid: http://boards.4chan.org/lit/thread/24249713
title: Howitzer Scene
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249713#24249713
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741679864373844.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741679864373844s.jpg'></a> Best scene in Blood Meridian<br>Nuff said 


guid: http://boards.4chan.org/lit/thread/24249739
title: Terry Pratchett crashout
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249739#24249739
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741681632922733.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741681632922733s.jpg'></a> Terry Pratchett crashout. 


guid: http://boards.4chan.org/lit/thread/24249746
title: Why is America falling apart right now without even having an...
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249746#24249746
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741681924822409.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741681924822409s.jpg'></a> Why is America falling apart right now without even having an ethical socialism? 


guid: http://boards.4chan.org/lit/thread/24249770
title: haruki murakami
author: Anonymous
url: http://boards.4chan.org/lit/thread/24249770#24249770
feedurl: https://boards.4chan.org/lit/index.rss
content:
 <a href='http://i.4cdn.org/lit/1741682686159402.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/lit/1741682686159402s.jpg'></a> Let&#039;s discuss this author in general.<br><br>What is your favorite novel of his? What about nonfiction work?<br><br>Norwegian Wood is one of my favorite books of all-time. Underground is absolutely essential true crime nonfiction. I still read him whenever a new book of his comes out (Colorless Tsukuru probably the last truly great one, really could not get into The City and Its Uncertain Walls) 


guid: http://boards.4chan.org/g/thread/104667774
title: What do u drink when programming
author: Anonymous
url: http://boards.4chan.org/g/thread/104667774#104667774
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741668675068833.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741668675068833s.jpg'></a> What do u drink when programming 


guid: http://boards.4chan.org/g/thread/104667845
title: Can you explain this?
author: Anonymous
url: http://boards.4chan.org/g/thread/104667845#104667845
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741669400611215.webm' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741669400611215s.jpg'></a> Can you explain this? 


guid: http://boards.4chan.org/g/thread/104667853
title: You know he's a 10Xer when you see this UI on his phone...
author: Anonymous
url: http://boards.4chan.org/g/thread/104667853#104667853
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741669499082725.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741669499082725s.jpg'></a> You know he&#039;s a 10Xer when you see this UI on his phone. 


guid: http://boards.4chan.org/g/thread/104667895
title: The OSes
author: Anonymous
url: http://boards.4chan.org/g/thread/104667895#104667895
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741669909175605.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741669909175605s.jpg'></a> The OSes 


guid: http://boards.4chan.org/g/thread/104667987
title: /ldg/ - Local Diffusion General
author: Anonymous
url: http://boards.4chan.org/g/thread/104667987#104667987
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741670805245870.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741670805245870s.jpg'></a> Come Take a Load Off Edition <br><br>Discussion of Free and Open-Source Diffusion models.<br><br>Breviously: &gt;&gt;104664602<br><br>Guide: https://rentry.org/ldg-lazy-getting<wbr>-started-guide<br><br><span class="quote">&gt;UIs</span><br>Metastable: https://metastable.studio<br>SwarmUI: https://github.com/mcmonkeyprojects<wbr>/SwarmUI<br>Forge: https://github.com/lllyasviel/stabl<wbr>e-diffusion-webui-forge<br>reForge: https://github.com/Panchovix/stable<wbr>-diffusion-webui-reForge<br>ComfyUI: https://github.com/comfyanonymous/C<wbr>omfyUI<br>InvokeAI: https://github.com/invoke-ai/Invoke<wbr>AI<br><br><span class="quote">&gt;Models, LoRAs, &amp; Upscalers</span><br>https://civitai.com<br>https://tensor.art/<br>https://openmodeldb.info<br><br><span class="quote">&gt;Cooking</span><br>https://github.com/Nerogar/OneTrain<wbr>er<br>https://github.com/kohya-ss/sd-scri<wbr>pts/tree/sd3<br>https://github.com/derrian-distro/L<wbr>oRA_Easy_Training_Scripts<br>https://github.com/tdrussell/diffus<wbr>ion-pipe<br><br><span class="quote">&gt;WanX (video)</span><br>https://rentry.org/wan21kjguide<br>https://comfyanonymous.github.io/Co<wbr>mfyUI_examples/wan/<br>https://civitai.com/articles/12248<br><br><span class="quote">&gt;Misc</span><br>Share Metadata: https://catbox.moe | https://litterbox.catbox.moe/<br>Img2Prompt: https://huggingface.co/spaces/fancy<wbr>feast/joy-caption-alpha-two<br>Archive: https://rentry.org/sdg-link<br>Samplers: https://stable-diffusion-art.com/sa<wbr>mplers/<br>Digital Art Software: https://krita.org/en/<br>Txt2Img Plugin: https://kritaaidiffusion.com/<br>Collagebaker: https://rentry.org/yueessiz | https://www.befunky.com/create/coll<wbr>age/<br>Video Collagebaker: https://kdenlive.org/en/<br><br><span class="quote">&gt;Neighbours</span><br><a href="//boards.4chan.org/aco/catalog#s=csdg" class="quotelink">&gt;&gt;&gt;/aco/csdg</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/c/catalog#s=kdg" class="quotelink">&gt;&gt;&gt;/c/kdg</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/e/catalog#s=edg" class="quotelink">&gt;&gt;&gt;/e/edg</a><br><a href="//boards.4chan.org/h/catalog#s=hdg" class="quotelink">&gt;&gt;&gt;/h/hdg</a><br><a href="//boards.4chan.org/trash/catalog#s=slop" class="quotelink">&gt;&gt;&gt;/trash/slop</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/u/catalog#s=udg" class="quotelink">&gt;&gt;&gt;/u/udg</a><br><a href="//boards.4chan.org/vp/catalog#s=napt" class="quotelink">&gt;&gt;&gt;/vp/napt</a><br><br><span class="quote">&gt;Local Text</span><br><a href="//boards.4chan.org/g/catalog#s=lmg" class="quotelink">&gt;&gt;&gt;/g/lmg</a><br><br><span class="quote">&gt;Maintain Thread Quality</span><br>https://rentry.org/debo 


guid: http://boards.4chan.org/g/thread/104668064
title: /g/ humor thread
author: Anonymous
url: http://boards.4chan.org/g/thread/104668064#104668064
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741671617747196.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741671617747196s.jpg'></a> /g/ humor thread 


guid: http://boards.4chan.org/g/thread/104668070
title: Why do we hate Edge?
author: Anonymous
url: http://boards.4chan.org/g/thread/104668070#104668070
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741671677961828.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741671677961828s.jpg'></a> Why do we hate Edge? 


guid: http://boards.4chan.org/g/thread/104668148
title: Bare bones WMs are for unemployed tinkerers
author: Anonymous
url: http://boards.4chan.org/g/thread/104668148#104668148
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741672703123968.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741672703123968s.jpg'></a> Bare bones WMs are for unemployed tinkerers. Gnome is for the working person that gets things done. 


guid: http://boards.4chan.org/g/thread/104668265
title: Command line programs to download music?
author: Anonymous
url: http://boards.4chan.org/g/thread/104668265#104668265
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741674137126777.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741674137126777s.jpg'></a> I used to use deemix and it worked great but now they&#039;re cracking down on sharing ARLs, any suggestions for alternatives greatly appreciated 


guid: http://boards.4chan.org/g/thread/104668325
title: >university requires me to download a...
author: Anonymous
url: http://boards.4chan.org/g/thread/104668325#104668325
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741674890253109.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741674890253109s.jpg'></a> <span class="quote">&gt;university requires me to download a program for a class</span><br><span class="quote">&gt;wangblows only</span><br>BULLSHIT<br>THIS IS SO BULLSHIT<br>FUCK YOU BILL GATES 


guid: http://boards.4chan.org/g/thread/104668353
title: How have robot vacuum cleaners advanced? I know some used to...
author: Anonymous
url: http://boards.4chan.org/g/thread/104668353#104668353
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741675255759897.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741675255759897s.jpg'></a> How have robot vacuum cleaners advanced? I know some used to randomly bump around and just change direction but there are some that can actually navigate now right? Whats your experience with them? 


guid: http://boards.4chan.org/g/thread/104668361
title: AI still doesn't
author: Anonymous
url: http://boards.4chan.org/g/thread/104668361#104668361
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741675353092197.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741675353092197s.jpg'></a> AI fanboys are insufferable. They keep repeating that AI is changing the world and it can&#039;t even change a tire. Trillions of dollars invested because someone was stupid enough to believe their wild claims. Meanwhile,<br><span class="quote">&gt;ai cruise control still doesn&#039;t drive my car</span><br><span class="quote">&gt;ai chatbots still can&#039;t book my airline tickets</span><br><span class="quote">&gt;ai programmers still no better than copy paste from stack overflow</span><br><span class="quote">&gt;ai can&#039;t deliver my packages</span><br><span class="quote">&gt;ai can&#039;t count the number of times the letter r appears in strawberry</span><br><span class="quote">&gt;ai can&#039;t help ukies beat the russians</span><br>At this point, I assume if you&#039;re an AI fanboy, you&#039;re into weirdo AI slop porn... which for some reason is flooding the internet in copious quantities. 


guid: http://boards.4chan.org/g/thread/104668450
title: Why don't we use AI to figure out how to turn anthros real?...
author: Anonymous
url: http://boards.4chan.org/g/thread/104668450#104668450
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741676472853245.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741676472853245s.jpg'></a> Why don&#039;t we use AI to figure out how to turn anthros real? 


guid: http://boards.4chan.org/g/thread/104668506
title: Shady Android app
author: Anonymous
url: http://boards.4chan.org/g/thread/104668506#104668506
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741677197807096.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741677197807096s.jpg'></a> I installed this kik mod on my phone because it had a ton of nice features.<br><br>A while after that, I realized that my phone was really slow. I was suspicious. So I looked it up and it seems like the developer of this mod is a really shady faggot, using this app to build a botnet, among other things.<br><br>And my question is, how fucked am I after uninstalling this app? I only gave it permission to see my gallery. Is my bank account safe? 


guid: http://boards.4chan.org/g/thread/104668532
title: Have you considered that they are not bots
author: Anonymous
url: http://boards.4chan.org/g/thread/104668532#104668532
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741677499920561.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741677499920561s.jpg'></a> But that people really are just that stupid?<br><br>You have to wonder what the motivation for someone intelligent enough to program bots, but dumb enough to make these botposts.  <br><br>What purpose could they possibly serve that couldn&#039;t be better effected with some other means or comments? 


guid: http://boards.4chan.org/g/thread/104668777
title: Same group behind cyber attack on Twitter and DeepSeek
author: Anonymous
url: http://boards.4chan.org/g/thread/104668777#104668777
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741680661752450.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741680661752450s.jpg'></a>  


guid: http://boards.4chan.org/g/thread/104668789
title: What are the arguments against it?
author: Anonymous
url: http://boards.4chan.org/g/thread/104668789#104668789
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741680809612076.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741680809612076s.jpg'></a> What are the arguments against it?<br>It obviously glows but how do you argue that?<br><br>Also it falls under cloud act 


guid: http://boards.4chan.org/g/thread/104668821
title: Why do boomers refuse to use AI?
author: Anonymous
url: http://boards.4chan.org/g/thread/104668821#104668821
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741681219770679.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741681219770679s.jpg'></a> Why do boomers refuse to use AI? 


guid: http://boards.4chan.org/g/thread/104668887
title: New Chinese breakthrough just dropped
author: Anonymous
url: http://boards.4chan.org/g/thread/104668887#104668887
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741681800217008.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741681800217008s.jpg'></a>  


guid: http://boards.4chan.org/g/thread/104668926
title: YOU WILL PRESS THE CLOUDFLARE BOX TWICE
author: Anonymous
url: http://boards.4chan.org/g/thread/104668926#104668926
feedurl: https://boards.4chan.org/g/index.rss
content:
 <a href='http://i.4cdn.org/g/1741682173870350.webm' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/g/1741682173870350s.jpg'></a> YOU WILL PRESS THE CLOUDFLARE BOX TWICE<br><br><br>YOU WILL SOLVE THE HCAPTCHA<br><br><br>YOU WILL SOLVE 4CHAN CAPTCHA<br><br><br>YOU WILL WAIT 15 MINUTES TO POST<br><br><br>YOU WILL WAIT FOR 60 SECONDS AFTER VERIFYING EMAIL ADDRESS 


guid: http://boards.4chan.org/sci/thread/16614884
title: The recognition of the part as whole, and of the whole in every...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16614884#16614884
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741620693500161.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741620693500161s.jpg'></a> The recognition of the part as whole, and of the whole in every part is perfectly natural, for it is the way God thinks, and what is natural to Him is natural to you. (https://acim.org/acim/en/s/203#3:3<wbr> | T-16.II.3:3) 


guid: http://boards.4chan.org/sci/thread/16615031
title: New photo of Europa just dropped
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615031#16615031
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741629161957557.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741629161957557s.jpg'></a> New photo of Europa just dropped 


guid: http://boards.4chan.org/sci/thread/16615061
title: Are the laws of physics material? They interact with matter,...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615061#16615061
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741631238179651.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741631238179651s.jpg'></a> Are the laws of physics material? They interact with matter, and it takes matter to observer them, they may exist as thoughts (i.e. material neural connections in our brain), but do they themselves exist as matter? How does the universe know how to act? 


guid: http://boards.4chan.org/sci/thread/16615079
title: why don't we put the best minds on the planet
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615079#16615079
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741632481679948.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741632481679948s.jpg'></a> together in a remote location and force them to figure out something cool again? 


guid: http://boards.4chan.org/sci/thread/16615146
title: Is donating blood plasma safe
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615146#16615146
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741636537131273.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741636537131273s.jpg'></a> Currently an unemployable neet for a short while and I need money for couple of things. I heard claims it can wreck the immune system and I am very skeptical about it. Selling my health would not be worth it. 


guid: http://boards.4chan.org/sci/thread/16615153
title: /sqt/ - stupid questions thread (aka /qtddtot/)
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615153#16615153
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741637079780549.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741637079780549s.jpg'></a> Everyone Else Is Too Lazy Edition<br> <br>Previous thread: &gt;&gt;16584917<br> <br><span class="quote">&gt;what is /sqt/ for?</span><br>Questions regarding maths and science. Also homework.<br><span class="quote">&gt;where do I go for advice?</span><br><a href="//boards.4chan.org/sci/catalog#s=scg" class="quotelink">&gt;&gt;&gt;/sci/scg</a> or <a href="//boards.4chan.org/adv/" class="quotelink">&gt;&gt;&gt;/adv/</a><br><span class="quote">&gt;where do I go for other questions and requests?</span><br><a href="//boards.4chan.org/wsr/" class="quotelink">&gt;&gt;&gt;/wsr/</a> <a href="//boards.4chan.org/g/catalog#s=sqt" class="quotelink">&gt;&gt;&gt;/g/sqt</a> <a href="//boards.4chan.org/diy/catalog#s=sqt" class="quotelink">&gt;&gt;&gt;/diy/sqt</a> etc.<br><span class="quote">&gt;how do I post math symbols (Latex)?</span><br>rentry.org/sci-latex-v1<br><span class="quote">&gt;a plain google search didn&#039;t return anything, is there anything else I should try before asking the question here?</span><br>scholar.google.com<br><span class="quote">&gt;where can I search for proofs?</span><br>proofwiki.org<br><span class="quote">&gt;where can I look up if the question has already been asked here?</span><br>warosu.org/sci<br>eientei.xyz/sci<br><span class="quote">&gt;how do I optimize an image losslessly?</span><br>trimage.org<br>pnggauntlet.com<br><span class="quote">&gt;how do I find the source of an image?</span><br>images.google.com<br>tineye.com<br>saucenao.com<br>iqdb.org<br><br><span class="quote">&gt;where can I get:</span><br><span class="quote">&gt;books?</span><br>libgen.rs<br>annas-archive.org<br>stitz-zeager.com<br>openstax.org<br>activecalculus.org<br><span class="quote">&gt;articles?</span><br>sci-hub.st<br><span class="quote">&gt;book recs?</span><br>sites.google.com/site/scienceandmat<wbr>hguide<br>4chan-science.fandom.com/wiki//sci/<wbr>_Wiki<br>math.ucr.edu/home/baez/physics/Admi<wbr>nistrivia/booklist.html<br><span class="quote">&gt;online courses and lectures?</span><br>khanacademy.org<br><span class="quote">&gt;charts?</span><br>imgur.com/a/pHfMGwE<br>imgur.com/a/ZZDVNk1<br><span class="quote">&gt;tables, properties and material selection?</span><br>www.engineeringtoolbox.com<br>www.matweb.com<br>www.chemspider.com<br><br>Tips for asking questions here:<br><span class="quote">&gt;avoid replying to yourself</span><br><span class="quote">&gt;ask anonymously</span><br><span class="quote">&gt;recheck the Latex before posting</span><br><span class="quote">&gt;ignore shitpost replies</span><br><span class="quote">&gt;avoid getting into arguments</span><br><span class="quote">&gt;do not tell us where is it you came from</span><br><span class="quote">&gt;do not mention how [other place] didn&#039;t answer your question so you&#039;re reposting it here</span><br><span class="quote">&gt;if you need to ask for clarification fifteen times in a row, try to make the sequence easy to read through</span><br><span class="quote">&gt;I&#039;m not reading your handwriting</span><br><span class="quote">&gt;I&#039;m not flipping that sideways picture</span><br><span class="quote">&gt;I&#039;m not google translating your spanish</span><br><span class="quote">&gt;don&#039;t ask to ask</span><br><span class="quote">&gt;don&#039;t ask for a hint if you want a solution</span><br><span class="quote">&gt;xyproblem.info</span> 


guid: http://boards.4chan.org/sci/thread/16615158
title: psychotherapists have the hardest med related job
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615158#16615158
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741637405748453.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741637405748453s.jpg'></a> 99.9% of doctors are glorified pill dispensers whose education boils down to memorizing guidelines. The only actually hard medcuck job is a surgeon, but only because it requires insane amount of dexterity. You can teach a monkey how to do surgery. <br><br>typical day in the life of a doctor<br><span class="quote">&gt;patient walks in</span><br><span class="quote">&gt;tells symptoms</span><br><span class="quote">&gt;&gt;&gt;oh shit it&#039;s not a cold and I forgot which obscure illness it can be that I read about once on the page 123121232345 of my textbook</span><br><span class="quote">&gt;input symptoms in chatGPT</span><br><span class="quote">&gt;give pills</span><br><span class="quote">&gt;tell the patient to do some tests</span><br><span class="quote">&gt;dread being replaced by AI</span><br><br>alternatively<br><span class="quote">&gt;patient comes in ER</span><br><span class="quote">&gt;identify symptoms</span><br><span class="quote">&gt;follow guidelines</span><br><span class="quote">&gt;give pills</span><br><span class="quote">&gt;go to sleep after because you&#039;re halfway through your 352345 hour shift</span><br><br>These jobs mostly rely on autistically following already established algorithms that were made by someone else. No room for creativity or skill. Good doctor is a doctor that is better at doing what other people tell him to do.<br><br>meanwhile psychotherapy requires an individualised approach to every patient with which you spend infinitely more time than all the doctors ever did. You get to know all the secrets of that person, all their dreams and desires. It&#039;s a job that requires quick thinking, improvisation, charisma, emotional stability (something many doctors lack), broad knowledge on all topics related to human life. A good psychologist is a real Renaissance man. At the same time no two psychologists are the same. Getting a psychologist is like getting a tailored suit and the best part is that it works only because the patient gets it from another human being. AI will never replace a psychologist 


guid: http://boards.4chan.org/sci/thread/16615239
title: this book is fucking garbage
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615239#16615239
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741643598581547.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741643598581547s.jpg'></a> this book is fucking garbage. the author is referencing modules and librarys that i dont have so what the fuck does he expect me to do, retrace his steps and implement all of his modules from scratch just based on what he named the functions? 


guid: http://boards.4chan.org/sci/thread/16615262
title: eiPi+1=0
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615262#16615262
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741645077336281.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741645077336281s.jpg'></a> eiPi+1=0 


guid: http://boards.4chan.org/sci/thread/16615298
title: new AI architecture
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615298#16615298
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741646885524684.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741646885524684s.jpg'></a> I call it &quot;mixture of (mixture of experts)&quot;. how much funding can i get for it? 


guid: http://boards.4chan.org/sci/thread/16615317
title: Why isn’t it possible
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615317#16615317
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741648231918194.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741648231918194s.jpg'></a> Why isn’t it possible 


guid: http://boards.4chan.org/sci/thread/16615344
title: >Spacetime is doomed
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615344#16615344
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741653031119511.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741653031119511s.jpg'></a> <span class="quote">&gt;Spacetime is doomed. Take off the headset.</span><br>How do you respond? 


guid: http://boards.4chan.org/sci/thread/16615420
title: What if we bombed climate change?
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615420#16615420
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741660833757910.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741660833757910s.jpg'></a> But seriously tho wouldn&#039;t nuclear winter cancel out global warming? 


guid: http://boards.4chan.org/sci/thread/16615463
title: How the fuck does any of this make sense? I have to get my GED...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615463#16615463
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741667550762009.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741667550762009s.jpg'></a> How the fuck does any of this make sense? I have to get my GED and maths is going to be the only thing that stops me. And this isn&#039;t even going to be the hardest part.<br><br>https://youtu.be/Zt2fdy3zrZU?si=N7S<wbr>fNByjOfL_qGiz 


guid: http://boards.4chan.org/sci/thread/16615480
title: China to build massive space cruise ship
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615480#16615480
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741668824657832.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741668824657832s.jpg'></a> Wow... 


guid: http://boards.4chan.org/sci/thread/16615493
title: PDE textbook
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615493#16615493
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741670758542500.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741670758542500s.jpg'></a> Has anyone worked through pic related? 


guid: http://boards.4chan.org/sci/thread/16615513
title: GRB is the great filter
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615513#16615513
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741673396788594.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741673396788594s.jpg'></a> I see news about me being killed by a GRB every day, What to do to save myself, I DON&quot;T WANT TO DIE, DAMN! 


guid: http://boards.4chan.org/sci/thread/16615522
title: Give it to me straight /sci/, does the average cat owner/raw...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615522#16615522
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741675424058907.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741675424058907s.jpg'></a> Give it to me straight /sci/, does the average cat owner/raw pork enjoyer really need to worry about Toxoplasma gondii? 


guid: http://boards.4chan.org/sci/thread/16615554
title: Multiverse is true and the reason quantum particles are always...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615554#16615554
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741679871021462.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741679871021462s.jpg'></a> Multiverse is true and the reason quantum particles are always in a state of superposition is because they (the fabric of the universe) function essentially as a curtain of rotatable beads, which are both in our universe and in another. When a particle is measured and collapses into one of its two possible states, it&#039;s because it&#039;s &quot;facing&quot; our direction. 


guid: http://boards.4chan.org/sci/thread/16615565
title: What happens when the milkyway galaxy collides with another galaxy?...
author: Anonymous
url: http://boards.4chan.org/sci/thread/16615565#16615565
feedurl: https://boards.4chan.org/sci/index.rss
content:
 <a href='http://i.4cdn.org/sci/1741681815266618.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/sci/1741681815266618s.jpg'></a> What happens when the milkyway galaxy collides with another galaxy? Will we have solar systems colliding in chaotic fashion creating a new double galaxy? 


guid: http://boards.4chan.org/his/thread/17567816
title: Why did China consistently shift rightward post-Mao? What caused...
author: Anonymous
url: http://boards.4chan.org/his/thread/17567816#17567816
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741660750192300.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741660750192300s.jpg'></a> Why did China consistently shift rightward post-Mao? What caused them to abandon the ideology? 


guid: http://boards.4chan.org/his/thread/17567835
title: What does /his/ think about the theory that humanity has already...
author: Anonymous
url: http://boards.4chan.org/his/thread/17567835#17567835
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741661652304334.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741661652304334s.jpg'></a> What does /his/ think about the theory that humanity has already been damned and we’re currently living in hell? With the way things are going it doesn’t sound too far off 


guid: http://boards.4chan.org/his/thread/17567837
title: The Islamic dilemma is refuted by the simple fact that the Christians...
author: Anonymous
url: http://boards.4chan.org/his/thread/17567837#17567837
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741661686820797.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741661686820797s.jpg'></a> The Islamic dilemma is refuted by the simple fact that the Christians and Jews were never in possession of an authoritative canon of scripture until after the Quran was revealed. 


guid: http://boards.4chan.org/his/thread/17567851
title: No. 17567851 by Anonymous
author: Anonymous
url: http://boards.4chan.org/his/thread/17567851#17567851
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741662012682854.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741662012682854s.jpg'></a> UH OH 


guid: http://boards.4chan.org/his/thread/17567903
title: I don't outright hate this guy
author: Anonymous
url: http://boards.4chan.org/his/thread/17567903#17567903
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741664345044374.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741664345044374s.jpg'></a> I don&#039;t outright hate this guy.....I just wish he wasn&#039;t such a paranoid, hypocritical violent brute...... 


guid: http://boards.4chan.org/his/thread/17567906
title: Why are DNA tests inconsistent?
author: Anonymous
url: http://boards.4chan.org/his/thread/17567906#17567906
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741664620731612.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741664620731612s.jpg'></a> Why don&#039;t they give consistent results? 


guid: http://boards.4chan.org/his/thread/17567946
title: Governor of Fujian Province Xi Jinping smiling and posing for...
author: Anonymous
url: http://boards.4chan.org/his/thread/17567946#17567946
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741666765636917.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741666765636917s.jpg'></a> Governor of Fujian Province Xi Jinping smiling and posing for a wholesome picture w/ family in front of the North Tower in New York City, circa 2001 


guid: http://boards.4chan.org/his/thread/17567949
title: do u like this man
author: Anonymous
url: http://boards.4chan.org/his/thread/17567949#17567949
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741666928027873.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741666928027873s.jpg'></a> do u like this man 


guid: http://boards.4chan.org/his/thread/17567966
title: >ashkenazi jews are middle eastern jews...
author: Anonymous
url: http://boards.4chan.org/his/thread/17567966#17567966
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741668149251127.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741668149251127s.jpg'></a> <span class="quote">&gt;ashkenazi jews are middle eastern jews that bred with europeans</span><br><span class="quote">&gt;ashkenazi jews are europeans that randomly decided they were jewish</span><br>which one is factual? 


guid: http://boards.4chan.org/his/thread/17567969
title: God doesn't make morality objective.
author: Anonymous
url: http://boards.4chan.org/his/thread/17567969#17567969
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741668405852812.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741668405852812s.jpg'></a> <span class="quote">&gt;does god forbid something because it is evil?</span><br><span class="quote">&gt;or is it evil because god forbids it?</span><br><br>If it&#039;s the first, then morality is independent of god. If it&#039;s the second, morals are arbitrary. Gang rape would be moral if god said so. <br><br>There&#039;s no way out of this. 


guid: http://boards.4chan.org/his/thread/17567996
title: al-andalus civilisation belongs to spaniards, not arabs or moors...
author: Anonymous
url: http://boards.4chan.org/his/thread/17567996#17567996
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741669991284376.gif' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741669991284376s.jpg'></a> al-andalus civilisation belongs to spaniards, not arabs or moors<br>that is all 


guid: http://boards.4chan.org/his/thread/17568000
title: Why did Mao suddenly out of nowhere decide "yeah, I think...
author: Anonymous
url: http://boards.4chan.org/his/thread/17568000#17568000
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741670280083539.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741670280083539s.jpg'></a> Why did Mao suddenly out of nowhere decide &quot;yeah, I think I&#039;ll open up to the USA, Japan, and the entire West today. Communism is over, capitalism is based&quot; one day in 1973? 


guid: http://boards.4chan.org/his/thread/17568001
title: Why does Yahweh demand blood sacrifices? Are we sure he's...
author: Anonymous
url: http://boards.4chan.org/his/thread/17568001#17568001
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741670315130472.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741670315130472s.jpg'></a> Why does Yahweh demand blood sacrifices? Are we sure he&#039;s not the evil one? 


guid: http://boards.4chan.org/his/thread/17568011
title: Leftists and liberals/progressives didnt complain about capitalism...
author: Anonymous
url: http://boards.4chan.org/his/thread/17568011#17568011
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741670561452054.png' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741670561452054s.jpg'></a> Leftists and liberals/progressives didnt complain about capitalism when J.P Morgan and Rockefeller foundation donated to LGBT parades and equality programs<br><br>In short: they don&#039;t hate capitalism, they are slaves of jewish cock. 


guid: http://boards.4chan.org/his/thread/17568083
title: Now that the dust has settled, are Italians white?
author: Anonymous
url: http://boards.4chan.org/his/thread/17568083#17568083
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741676707329506.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741676707329506s.jpg'></a> Now that the dust has settled, are Italians white? 


guid: http://boards.4chan.org/his/thread/17568088
title: Hi, I'm Adolf Hitler, and welcome to Jackass
author: Anonymous
url: http://boards.4chan.org/his/thread/17568088#17568088
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741677171950448.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741677171950448s.jpg'></a> Hi, I&#039;m Adolf Hitler, and welcome to Jackass 


guid: http://boards.4chan.org/his/thread/17568099
title: How did the plantation owners, and especially their young teenage...
author: Anonymous
url: http://boards.4chan.org/his/thread/17568099#17568099
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741678055288152.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741678055288152s.jpg'></a> How did the plantation owners, and especially their young teenage sons, resist the urge to have sex with the female slaves? 


guid: http://boards.4chan.org/his/thread/17568110
title: >Guy shows up
author: Kuma
url: http://boards.4chan.org/his/thread/17568110#17568110
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741678715398874.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741678715398874s.jpg'></a> <span class="quote">&gt;Guy shows up</span><br><span class="quote">&gt;Claims to literally be god</span><br><span class="quote">&gt;Claims to be his own father</span><br><span class="quote">&gt;Claims he fucked his own mother to give birth to himself</span><br><span class="quote">&gt;Gets killed because dangerous lunatic</span><br><span class="quote">&gt;Body is stolen by his cult followers</span><br><span class="quote">&gt;Somehow this convinces most of Europe he really is god</span><br>Can someone explain to me how this makes any fucking sense?<br>Europeans are retarded 


guid: http://boards.4chan.org/his/thread/17568136
title: The gospels were written anonymously in a foreign land, in a...
author: Anonymous
url: http://boards.4chan.org/his/thread/17568136#17568136
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741680171484437.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741680171484437s.jpg'></a> The gospels were written anonymously in a foreign land, in a foreign language over half a century after the non-events they claim to describe. <br><br>Even if you assume a bunch of a Greeks in Corinth had access to &quot;oral lore&quot; from Judea they&#039;d have no way to check their information and it would mean the gospels are based on the tall-tales illiterate hicks from Judea were spinning for half a century. 


guid: http://boards.4chan.org/his/thread/17568165
title: >Shoot 1 (one) hit
author: Anonymous
url: http://boards.4chan.org/his/thread/17568165#17568165
feedurl: https://boards.4chan.org/his/index.rss
content:
 <a href='http://i.4cdn.org/his/1741681408917051.jpg' target=_blank><img style='float:left;margin:8px' border=0 src='http://i.4cdn.org/his/1741681408917051s.jpg'></a> <span class="quote">&gt;Shoot 1 (one) hit</span><br><span class="quote">&gt;Miss entirely</span><br><span class="quote">&gt;Still annihilate the american shitbox pile</span><br>How did they build such wunderwaffe? 


guid: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Steps_to_make_Europe_more_secure)
title: Steps to make Europe more secure
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Steps_to_make_Europe_more_secure)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

*How do we make Europe more secure? Here are
<a href="https://www.theguardian.com/world/2025/mar/01/how-do-we-make-europe-more-secure-here-are-five-steps-we-need-to-take-now">five
steps we need to take now</a>.*
</p>
<p>
*   Some might agonize about whether Zelenskyy could have played things
differently. It's the wrong question. The point is that we can't carry
on being so dependent on every meeting at the White House.*
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(JP_Morgan's_sustainable_funds)
title: JP Morgan's "sustainable" funds
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(JP_Morgan's_sustainable_funds)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

*JP Morgan's "sustainable" funds
<a href="https://www.theguardian.com/environment/2025/mar/01/jp-morgan-sustainable-funds-mining-giant-glencore">invested
£200m in mining giant Glencore</a>.*
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Urgent:_Stop_the_EPA_coup)
title: Urgent: Stop the EPA coup
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Urgent:_Stop_the_EPA_coup)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
US citizens:
<a href="https://actionnetwork.org/forms/tell-congress-stand-up-to-the-coup-at-the-environmental-protection-agency-fire-elon-musk-2?nowrapper=true&referrer=group-hd&source=group-hd">call
on Congress</a> to stand up to the coup at the Environmental
Protection Agency, and to fire <a class="glossary"
href="/glossary.html#musk">the muskrat</a>.
<p>
If you phone, please spread the word!
Main Switchboard: <a href="tel:+12022243121">+1-202-224-3121</a>

 


guid: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Land_use_study,_UK_grasslands)
title: Land use study, UK grasslands
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Land_use_study,_UK_grasslands)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*High fertilizer use halves
<a href="https://www.theguardian.com/environment/2025/jan/20/uk-agriculture-farming-fertilisers-yields-biodiversity-study-park-grass-pollinators-bees-wildflowers-aoe">numbers
of pollinators</a>, world’s longest study finds.*

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Forest_logging_increase)
title: Forest logging increase
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Forest_logging_increase)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
<a class="glossary" href="/glossary.html#wrecker">The wrecker</a>
ordered logging in
<a href="https://www.theguardian.com/us-news/2025/mar/03/trump-national-forest-executive-order">half
a million square miles</a> of US forests.
<p>
This doesn't mean those forests will be razed, but does mean more
logging, and in some places increased fire danger.
<p>
The worst part is that he wants to disregard protection of endangered
species.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Wiping_out_wild_side)
title: Wiping out wild side
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Wiping_out_wild_side)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Right-wing politicians in Spain push to wipe out the rewilded lynx,
<a href="https://www.theguardian.com/world/2025/mar/03/spain-iberian-lynx-rewilding-lobbying-hunters-farmers">just as</a>
right-wing politicians in the US push to wipe out wolves.
<p>
Both of them spread an exaggerated fear of danger from the animals they
want to kill, while ignoring the ways those animals, in limited numbers,
are beneficial for human activities.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Glysophate_labeling_regulations_cut)
title: Glyphosate labeling regulations cut
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Glysophate_labeling_regulations_cut)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Danger: food grown in America could hazardous due
to <a class="glossary" href="/glossary.html#magat">magats</a>
<a href="https://www.levernews.com/the-plan-to-make-america-hazardous-again/">and
their chemicals</a>.

<p>
 


title: Union of Concerned Scientists vs firings
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Union_of_Concerned_Scientists_vs_firings)

url:
https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(Union_of_Concerned_Scientists_vs_firings)

content:
 
<p>
*[<a class="glossary" href="/glossary.html#wrecker">The wrecker's</a>]
purge raises
<a href="https://www.theguardian.com/us-news/2025/mar/03/endangered-species-trump-federal-worker-firings">extinction
threat for endangered species</a>, fired workers warn.*

<p>
 


title: Expense vs rational climate adaptation
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(expence_vs_rational_climate_adaptation)

url:
https://stallman.org/archives/2025-jan-apr.html#7_March_2025_(expence_vs_rational_climate_adaptation)

content:
 
<p>
The extent of commitment given by governments that ought to know
better to far-fetched energy schemes &mdash;
<a href="https://www.theguardian.com/environment/2025/mar/05/carbon-can-be-captured-but-it-isnt-worth-the-cost">carbon
capture and storage, and new kinds of nuclear fission</a> &mdash;
suggests to me that governments' reason for supporting them is
influence by the businesses that stand to profit from them.  I can't
see any other reason there could be.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(US_intelligence_on_Russia)
title: US intelligence on Russia
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(US_intelligence_on_Russia)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*<a href="https://www.theguardian.com/world/2025/mar/05/us-stops-sharing-intelligence-on-russia-with-ukraine">US stops sharing</a>
intelligence on Russia with Ukraine.*
<p>
This is meant to make Zelenskyy surrender to the demand
that Ukraine "repay" the US aid, which wasn't a loan, at extortionate interest rates for decades.



<p>
 


title: Supreme Court ruling for USAID
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(Supreme_Court_ruling_on_USAID_payments)

url:
https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(Supreme_Court_ruling_on_USAID_payments)

content:
 
<p>
The Supreme Court ordered <a class="glossary"
href="/glossary.html#wrecker">the wrecker</a> to
<a href="https://www.theguardian.com/us-news/2025/mar/05/trump-supreme-court-foreign-aid">resume
payment of foreign aid</a> by the USAid agency.
<p>
I am not sure whether this applies to all the aid that Congress had
approved, or only paid-for work already done.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(Legal_abortion,_24_weeks,_AZ)
title: Legal abortion, 24 weeks, AZ
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(Legal_abortion,_24_weeks,_AZ)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Arizona's
<a href="https://www.theguardian.com/world/2025/mar/05/arizona-court-ruling-15-week-abortion-ban">referendum
to abortion</a> has taken full effect.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(Pesticide_mixing,_more_dangerous)
title: Pesticide-mixing even more dangerous
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(Pesticide_mixing,_more_dangerous)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*<a href="https://www.theguardian.com/us-news/2025/mar/05/pesticides-childhood-cancer-study">Study
on cancer data</a> in US agricultural heartland finds children more at
risk [if exposed to a pair of pesticides] than if exposed to just one
[of those two].*
<p>
"Pesticide" here includes herbicides such as dicamba and glyphosate.

<p>
 


title: Viciously applying vengeful nihilism, US
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(Visciously_apply_vengeful_nihilism,_US)

url:
https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(Visciously_apply_vengeful_nihilism,_US)

content:
 
<p>
Conjecture: <a class="glossary" href="/glossary.html#musk">The
muskrat's</a> fantasy is to
<a href="https://www.theguardian.com/commentisfree/2025/mar/05/humans-earth-donald-trump-nihilism-maga">wear
out the Earth</a> as a habitat for civilization, so as to create
cities on Mars which are his personal property.
<p>
Whether or not this results in sustainable Martian cities, it could
wipe out civilization on Earth, and wipe out freedom and democracy.

<p>
 


title: State of Union address to Congress
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(State_of_Congress_and_the_Union_address)

url:
https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(State_of_Congress_and_the_Union_address)

content:
 
<p>
<a class="glossary" href="/glossary.html#bully">The bully</a> gave a
<a href="https://www.theguardian.com/us-news/2025/mar/05/trump-turns-congress-speech-into-a-sordid-campaign-rally-igniting-a-democrat-fightback">speech
in Congress</a>, showing that Republicans revel in being the crazed
mob following a bully.  Democrats' response was sometimes visible but
his mob disregarded even his
<a href="https://www.theguardian.com/us-news/2025/mar/05/trump-congress-address-fact-check">visible
 falsehoods</a>.  (The speech was full of those.)
<p>
I think that
<a href="https://stallman.org/archives/2024-may-aug.html#19_July_2024_(Cloaking_authoritarian_plans)">authoritarian followers</a>
<!--[not found: pol note where I explained that right-wing mob
members are authoritarian followers.  Search for "authoritarian
followers" to find them.]--> will find displays in which their leader
successfully bullies his enemies as gratifying and reinforcing to
their obedience.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(Mining_Greenland)
title: Mining Greenland
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#8_March_2025_(Mining_Greenland)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
A
<a href="https://www.stallman.org/glossary.html#business-supremacy">trade
treaty</a> with an <a class="glossary"
href="/glossary.html#isds">ISDS</a> clause
<a href="https://www.theguardian.com/environment/2025/mar/05/greenland-mining-energy-transition-minerals-environmental-laws-uranium-rare-earth-toxic-waste-investor-state-dispute-settlement-isds-aoe">may
compel Greenland to permit</a> uranium mining,
even though it can poison the land near the mine.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Republican_donors)
title: Republican donors
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Republican_donors)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*Republicans [running for state offices] are relying on "nameless"
donors who want to
<a href="https://www.theguardian.com/us-news/2025/mar/05/billionaires-funding-republicans">push
a rightwing agenda and gain long-term hegemony</a>.*
<p>
They can do this because they put judges on the Supreme Court that tore up
most of the
<a href="https://stallman.org/archives/2024-jan-apr.html#25_January_2024_(Further_weakening_of_Voting_Rights_Act)">Voting Rights Act</a>
and campaign donation rules, including the
<a href="https://stallman.org/archives/2023-may-aug.html#3_May_2023_(Politico's_court_power)">"Citizens" United decision</a>.
<p>
But you can identify those candidates because they advocate allowing
billionaires to do this.  They are the supporters of oligarchy rather
than democracy.  They also oppose
<a href="https://stallman.org/archives/2024-may-aug.html#21_August_2024_(Normal_politics_as_a_1945-75_anomaly)">taxing
the rich fairly</a>.


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Pensions_en-crypto)
title: Pensions en-crypto
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Pensions_en-crypto)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
US residents: phone your state governor and say to veto any
bill that would permit "investing" (gambling) state pension funds
in cryptocurrencies.
<p>
As with other forms of gambling, the house is generally to win,
and in this case the pension fund would not be the house.
<p>
You can find your state governor phone number at
<a href="https://www.usa.gov/state-governments">USA.gov</a>.
If you phone, please spread the word!

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Ralph_Nader_suggests)
title: Ralph Nader suggests
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Ralph_Nader_suggests)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Ralph Nader suggests Democrats in Congress
<a href="https://nader.org/2025/03/07/democratic-party-leaders-get-tough-and-hold-regular-unofficial-congressional-hearings-by-and-for-the-people/">*hold
unofficial public hearings</a> on Capitol Hill, highlighting an
all-time winning agenda supported by the citizenry and opposed by the
Trumpsters.*


<p>
 


title: Stress kills, sleep saves, go figures
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Stress_kills,_sleep_saves,_go_figures)

url:
https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Stress_kills,_sleep_saves,_go_figures)

content:
 
<p>
Wealthy Americans have 7 years more life expectancy than working-class
Americans.  It's an indirect consequence of the effects of poverty
on
<a href="https://www.commondreams.org/newswire/new-report-working-class-americans-can-expect-to-die-at-least-7-years-earlier-than-the-wealthy">whoever
is poor</a>.
<p>
Instead of letting billionaires set working class whites against other
Americans, we can unite and demand to distribute more of America's income
and wealth to those who are poor.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Stopping_HIV_processes,_ZAF)
title: Stopping HIV processes, ZAF
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Stopping_HIV_processes,_ZAF)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
<a class="glossary" href="/glossary.html#wrecker">The wrecker</a>
stopped the
<a href="https://www.theguardian.com/commentisfree/2025/mar/07/trumps-attacks-on-south-africa-are-a-punishment-for-independence">function
for preventing spread of HIV</a> in South Africa as punishment for
prosecuting Israel at the International Criminal Court.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Carcinogen_factories_of_Louisianna)
title: Carcinogen factories of Louisianna
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Carcinogen_factories_of_Louisianna)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Biden had the DoJ sue a factory in Louisiana that was emitting carcinogen.
<a class="glossary" href="/glossary.html#wrecker">The wrecker</a> has
canceled the lawsuit, so that the company can
<a href="https://www.theguardian.com/us-news/2025/mar/07/trump-cancer-alley-plant-biden-lawsuit">promote
cancer unimpeded</a>.
<p>
This is a consequence of <a class="glossary"
href="/glossary.html#wrecker">the wrecker's</a> priorities: rich
business owners over poor people (especially if they are black).


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Urgent:_Support_workers'_unions)
title: Urgent: Support workers' unions
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#9_March_2025_(Urgent:_Support_workers'_unions)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Call your congresscritter to oppose the bills to weaken unions
including the National "Right to Work" Act.
<p>
If you phone, please spread the word!                              
Main Switchboard: <a href="tel:+12022243121">+1-202-224-3121</a>

<p>
 


title: Christian nationalism as federal policy
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Christian_nationalism_as_federal_policy)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Christian_nationalism_as_federal_policy)

content:
 
<p>
The madmap
<a href="https://theintercept.com/2025/03/07/briefing-podcast-trump-christian-right-talia-lavin/">told
Congress</a> that he is on a divine mission to impose fanatical
right-wing Christianity on the US.


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(US_National_Weather_Service)
title: US National Weather Service
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(US_National_Weather_Service)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
Staffing cuts at the US National Weather Service have made it struggle
to carry out its mission.  Some local weather
<a href="https://www.theguardian.com/us-news/2025/mar/07/trump-layoffs-nws">bureaus face severe
shortages</a>.

<p>
 


title: Joseph Stiglitz: ISDS trade treaties
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Joseph_Stiglitz:_ISDS_trade_treaties)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Joseph_Stiglitz:_ISDS_trade_treaties)

content:
 
<p>
Joseph Stiglitz calls for the elimination of <a class="glossary" href="/glossary.html#isds">ISDS</a> trade treaties,
that make states
<a href="https://www.theguardian.com/global-development/2025/mar/07/private-investors-ability-to-sue-governments-is-a-form-of-legal-terrorism-ending-this-system-is-imperative-aoe">pay
for he privilege</a> of changing their laws to protect public health
or the environment.
<p>
One question is how to eliminate those treaties.  Most of them say that
even if a country withdraws from the treaty, it is still bound by the
treaty's parasitical rules for many years after.
<p>
In the cases where these treaties do big harm, they causes the death
of thousands of people if not millions.  So one idea is to legislate
that enforcing one of these treaties in a case where the consequence
is to kill people or make people sick constitutes homicide or gross
bodily harm, and that the penalty to any corporation convicted of
these crimes is confiscation of all assets and/or income.
<p>
A company that is willing to seek profit by those means
deserves to lose everything.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(National_Labor_Relations_Board)
title: National Labor Relations Board
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(National_Labor_Relations_Board)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
A court ordered reinstatement of NLRB member Gwynne Wilcox,
who <a class="glossary" href="/glossary.html#bully">the bully</a>
<a href="https://www.theguardian.com/us-news/2025/mar/06/trump-labor-board-firing-gwynne-wilcox">fired
for affirming</a> that the president of the US is not a king.
<p>
This means that the NLRB can now function normally &mdash; unless he fires
her again.  I wonder what absurd excuse he will use next.

<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(US_Tariff_war_fallout,_CAN)
title: US Tariff war fallout, CAN
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(US_Tariff_war_fallout,_CAN)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
*Canadians protest imports of
<a href="https://www.theguardian.com/us-news/2025/mar/06/canadians-toxic-waste-trump-tariffs">US
toxic waste</a> amid Trump tariff war.*
<p>
Canada could address this issue very simply by putting a tariff on
toxic waste imports from the US.

<p>
 


title: Urgent: Social Security Expansion Act
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Urgent:_Social_Security_Expansion_Act)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Urgent:_Social_Security_Expansion_Act)

content:
 
<p>
US citizens:
<a href="https://actionnetwork.org/forms/become-a-grassroots-co-sponsor-of-the-social-security-expansion-act?nowrapper=true&referrer=group-democracy-for-america-advocacy-fund&source=group-democracy-for-america-advocacy-fund">call
on Congress</a> to pass the Social Security Expansion Act of 2025)
<p>
The page explains what that bill would do.
<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#10_March_2025_(Gaza_ceasefire_new_ultimatum)
title: Gaza ceasefire new ultimatum
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Gaza_ceasefire_new_ultimatum)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>
<!---->*Hamas has accused [the wrecker] of
<a href="https://www.theguardian.com/world/2025/mar/06/hamas-trump-threats-encourage-israel-back-out-gaza-ceasefire">seeking
to undermine</a> the shaky pause in hostilities in Gaza with his
latest intervention in the region: a new and fierce ultimatum telling
the group to release all hostages.*
<p>
This directly undermines the completion of the cease-fire deal, which
would have included releasing all the hostages, and also ended the war.
<p>
In effect, it demands that HAMAS give Israel everything immediately,
thus eliminating pressure for Israel to end its killing.
<p>
It also shows that <a class="glossary" href="/glossary.html#wrecker">the wrecker</a> is acting directly to undermine
the "peace plan" he claimed to have brought about.

<p>
 


title: Ralph Nader warns, explains, reminds US
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Ralph_Nader_warns,_explains,_reminds_US)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Ralph_Nader_warns,_explains,_reminds_US)

content:
 
<p>
Ralph Nader calls for people to
<a href="https://nader.org/2025/03/01/trumps-autocratic-moves-toward-corporate-fascism/">organize
large rallies</a> against the right-wing wrecking crew.


<p>
 


guid: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Immigration_judges_in_the_US)
title: Immigration judges in the US
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Immigration_judges_in_the_US)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

Immigration judges in the US are not chosen for knowing immigration
law, or for thinking clearly about it, and a fraction are so strongly
biased that they <a href="https://www.theguardian.com/us-news/2025/mar/06/turkey-us-immigration-asylum-denial">always deny asylum</a>, even to people who were tortured
as political prisoners.
</p>
<p>
I am sure this is at least indirectly related by the general attitude
of hostility to immigrants.
</p>
</li>

<p>
 


title: "Echoes of Munich in Ukrainian Reversal
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Echoes_of_Munich_in_Ukrainian_Reversal)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Echoes_of_Munich_in_Ukrainian_Reversal)

content:
 
<p>

  Alan Singer sees <a href="https://www.dailykos.com/stories/2025/3/5/2308265/-Echoes-of-Munich-in-Trump-Ukrainian-Reversal">*Echoes of Munich in [the wrecker's] Ukrainian Reversal.*</a>
</p>
<p>
I have been thinking the same.  There is no reason to believe the Putin's
appetite for expansion stops with Ukraine.  With <a class=glossary href="/glossary.html#corrupter">the corrupter's</a> support,
Putin might aim to capture various countries now part of NATO.
</p>
</li>

 


title: US judges alarmed over rise in violent threats
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(US_judges_alarmed_over_rise_in_violent_threats)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(US_judges_alarmed_over_rise_in_violent_threats)

content:
 
<p>

  *US judges <a href="https://www.theguardian.com/us-news/2025/mar/06/us-judges-threats-trump-musk">alarmed over rise in violent threats</a> as Trump and Musk
lambaste them.*
</p>
<p>
I expect they perceive see judges as the last remaining obstacle to
establishing outright dictatorship in the US, and they surely know that
their hate machine provokes real violence.
</p>
</li>

 


title: Doge blocked from shutting down Africa development agency
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Doge_blocked_from_shutting_down_Africa_development_agency)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Doge_blocked_from_shutting_down_Africa_development_agency)

content:
 
<p>

  *Federal workers <a href="https://www.theguardian.com/us-news/2025/mar/06/federal-workers-block-musks-doge-africa-development-agency">block Musk's "Doge"</a> from shutting down Africa
development agency.*
</p>
</li>

 


title: Population of butterflies in US fell
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Population_of_butterflies_in_US_fell)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Population_of_butterflies_in_US_fell)

content:
 
<p>

The total population of butterflies in the US <a href="https://www.commondreams.org/news/butterfly-loss-study">fell 20% from 2000 to
    2020</a>.
  (I do not say "22%" because that is surely more precision
than these measurements can support.)
</p>
<p>
This decline is surely continuing.
</p>

 


title: Bully's men considering deporting Ukrainian refugees
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Bully's_men_considering_deporting_Ukrainian_refugees)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Bully's_men_considering_deporting_Ukrainian_refugees)

content:
 
<p>

  <a class=glossary href="/glossary.html#bully">The bully's</a> men are <a href="https://www.reuters.com/world/us/trump-plans-revoke-legal-status-ukrainians-who-fled-us-sources-say-2025-03-06/">considering deporting all Ukrainian refugees</a>.
</p>
<p>
Sending people back to a country where they would be in danger is
<a href="https://stallman.org/archives/2024-nov-feb.html#11_January_2025_(Nauru_ruling_against_AUS)">directly prohibited</a> by the treaties that established the asylum system.
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(London_low-emissions_zone)
title: London low-emissions zone
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(London_low-emissions_zone)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

  The London low-emissions zone is <a href="https://www.theguardian.com/environment/2025/mar/07/london-air-pollution-down-since-ulez-expansion-study">very effective in reducing toxic air</a>
pollution, and also substantially reduces greenhouse gas emissions from
driving.
</p>
<p>
The one really bad thing about it that it is enforced using
surveillance &mdash; and that is not inherently necessary.
</p>
</li>

 


title: Bully threatens to deport non-citizens for "antisemitic" statements
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Bully_threatens_to_deport_non-citizens_for_antisemitic_statements)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Bully_threatens_to_deport_non-citizens_for_antisemitic_statements)

content:
 
<p>

  <a class=glossary href="/glossary.html#bully">The bully</a> has <a href="https://www.theguardian.com/us-news/2025/mar/06/foreign-student-visas-pro-palestinian-ai">threatened to deport non-citizens</a> who make statements
about Gaza and Israel that <a class=glossary href="/glossary.html#bully">the bully</a> chooses to call "antisemitic".
</p>
<p>
As the ACLU reports, deportation on those grounds would be
unconstitutional, but <a class=glossary href="/glossary.html#bully">the bully</a> feels entitled to disregard the
Constitution.
</p>
<p>
  <a class=glossary href="/glossary.html#bully">The bully</a> will surely <a href="https://stallman.org/archives/2024-nov-feb.html#17_February_2025_(Defining_and_redefining_antisemitism)">stretch the meaning of "antisemitic"</a>,
as has become habitual for right-wing extremists,
  and <a href="https://stallman.org/archives/2023-sep-dec.html#14_December_2023_(University_presidents_questioned_on_antisemitic_statements)">conflate condemnation of Israel's deadly violence with antisemitism</a>.
To make matters worse, he proposes to use some dodgy software to make
the accusations.  It is unjust to find someone guilty of anything
based on heuristics.
</p>
<p>
For <a class=glossary href="/glossary.html#bully">the bully</a>, rushing to judgment and punishment is a way of
demonstrating his power.  Here's another act of bullying aimed
at <a href="https://www.theguardian.com/us-news/2025/mar/06/university-california-antisemitism-gaza-israel">forcing US universities into strict censorship of protests</a>.
</p>
<p>
HAMAS plainly is a terrorist organization, but it is unjust for
governments to label groups (or individuals) as "terrorist" by fiat.
That decision calls for a fair trial.
</p>
<p>
The practice of declaring organizations "terrorist" denies a fair
trial to people charged with the crime of "aiding" that "terrorist
organization".  Their trials do not try to judge the crucial question
&mdash; is that organization really terrorist? &mdash; which is simply taken for
granted.
</p>
</li>

 


title: LA Times bullshit-generated counteropinion
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(LA_Times_bullshit-generated_counteropinion)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(LA_Times_bullshit-generated_counteropinion)

content:
 
<p>

  The LA Times bullshit-generated counteropinion <a href="https://boingboing.net/2025/03/04/la-times-ai-defends-the-ku-klux-klan.html">defended the KKK</a>. 
</p>
</li>

 


title: RFK Jr casting doubt on measles vaccination
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(RFK_Jr_casting_doubt_on_measles_vaccination)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(RFK_Jr_casting_doubt_on_measles_vaccination)

content:
 
<p>

  RFK Jr <a href="https://www.theguardian.com/us-news/2025/mar/04/rfk-jr-vitamins-measles-outbreak">continues to cast doubt</a> on measles vaccination.
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Congress_hearing_on_Antisemitism)
title: Congress hearing on Antisemitism
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Congress_hearing_on_Antisemitism)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

  *Congress Hearing on Antisemitism <a href="https://www.commondreams.org/newswire/congress-hearing-on-antisemitis">Does Nothing for Jewish Safety</a>,
 Advances Authoritarianism.*
</p>
<p>
  *[<a class=glossary href="/glossary.html#wrecker">The wrecker</a>] <a href="https://www.theguardian.com/us-news/2025/mar/04/trump-university-funding-protests">threatens to pull federal funds for US schools</a> allowing "illegal
protests".*
  By which he means, "any protests" that he doesn't like.
</p>
<p>
Antisemitism and condemnation of violent repression are not the same.
People protesting Israel's violent repression of Palestinians should
take care to clarify that distinction, and <a href="https://stallman.org/articles/benevolence.html">set an example to help
    others recognize the difference</a>.  By doing that, they will thwart the
efforts of Netanyahu and other right-wingers to confuse the two.
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Why_charges_of_hypocrisy_don't_land)
title: Why charges of hypocrisy don't land
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Why_charges_of_hypocrisy_don't_land)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

*Charges of hypocrisy do not land if the supposed hypocrite is <a href="https://www.theguardian.com/commentisfree/2025/mar/04/trump-hypocrisy">not
    committed to any kind of consistency in the first place</a>.*
  (Think "bullshitter".)
</p>
</li>

 


title: Half of worlds CO2 from 36 fossil fuel firms
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Half_of_worlds_CO2_from_36_fossil_fuel_firms)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Half_of_worlds_CO2_from_36_fossil_fuel_firms)

content:
 
<p>

  *Half of world's CO2 emissions <a href="https://www.theguardian.com/environment/2025/mar/05/half-of-worlds-co2-emissions-come-from-36-fossil-fuel-firms-study-shows">come from 36 fossil fuel firms</a>, study shows.*
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Policy_of_quiet_towards_HAMAS)
title: "Policy of quiet" towards HAMAS
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Policy_of_quiet_towards_HAMAS)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

  *Report by [Israeli intelligence] says <a href="https://www.theguardian.com/world/2025/mar/05/israeli-security-agency-says-netanyahus-policies-paved-the-way-for-2023-hamas-attack">"policy of quiet"</a> towards HAMAS allowed it to build up resources for 2023 attack.*
</p>
</li>

 


title: Students in Malta charged with breaking "security"
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Students_in_Malta_charged_with_breaking_security)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Students_in_Malta_charged_with_breaking_security)

content:
 
<p>

  Three students in Malta and their instructor have been <a href="https://www.maltatoday.com.mt/news/court_and_police/133925/lecturer_and_three_students_charged_with_hacking_maltas_largest_student_app">charged with the crime of breaking "security"</a>.  They found vulnerabilities in an
app (surely nonfree) and reported them to its developer after
verifying they were real vulnerabilities.
</p>
<p>
I don't know any other facts about the app, but I expect it would be
malware.  It follows that the app harms the computing security of
students who use it much more than these students did to the app.
</p>
<p>
Reporting bugs in a program helps the program's developers.  If the
developers treat you decently, which includes respecting your freedom,
such cooperation is the right thing for users to do.  But if the
developers thinks "security" means keeping users firmly under the
developers' power, they deserve punishment rather than help.
</p>
</li>

 


title: Urgent: Overturn attack on clean energy policies
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Urgent:_Overturn_attack_on_clean_energy_policies)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Urgent:_Overturn_attack_on_clean_energy_policies)

content:
 
<p>

US citizens: call on Congress to overturn <a class=glossary href="/glossary.html#wrecker">the wrecker's</a> <a href="https://actionnetwork.org/forms/tell-congress-overturn-trumps-attack-on-clean-energy">attack on clean
    energy policies</a>.
</p>
<p>
If you phone, please spread the word!                              
Main Switchboard: <a href="tel:+12022243121">+1-202-224-3121</a>
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Urgent:_Defend_freedom_of_the_press)
title: Urgent: Defend freedom of the press
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Urgent:_Defend_freedom_of_the_press)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

  US citizens: call on media companies to <a href="https://act.commoncause.org/petitions/media-companies-must-stand-up-for-free-speech-3">defend freedom of the press</a>,
rather than let <a class=glossary href="/glossary.html#bully">the bully</a> intimidate them.
</p>
</li>

 


title: Urgent: Block weapons sale to Israel
author: Richard Stallman
feedurl: https://stallman.org/rss/rss.xml
guid:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Urgent:_Block_weapons_sale_to_Israel)

url:
https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Urgent:_Block_weapons_sale_to_Israel)

content:
 
<p>

US citizens: call on Congress to block <a class=glossary href="/glossary.html#wrecker">the wrecker's</a> <a href="https://act.demandprogress.org/sign/block-weapons-sales-sanders-25/">weapons
    sale to Israel</a>.
</p>
<p>
If you phone, please spread the word!                              
Main Switchboard: <a href="tel:+12022243121">+1-202-224-3121</a>
</p>
</li>

 


guid: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Urgent:_Break_up_Big_Medicine)
title: Urgent: Break up Big Medicine
author: Richard Stallman
url: https://stallman.org/archives/2025-jan-apr.html#10_March_2025_(Urgent:_Break_up_Big_Medicine)
feedurl: https://stallman.org/rss/rss.xml
content:
 
<p>

  US citizens: call for legislation to <a href="https://actionnetwork.org/forms/break-up-big-medicine">break up Big Medicine</a>,
including <a class=glossary href="/glossary.html#united-hellth">UnitedHellth</a>.
  (The article explains all the different medicine
businesses that conglomerate combines.)
</p>
<p>
I think horizontal monopolies like that used to be
limited generally by US anti-trust law.
</p>
</li>

 


guid: https://wykop.pl/link/7665025/samochod-ktory-donosi-na-kierowce
title: Samochód który donosi na kierowcę.
url: https://wykop.pl/link/7665025/samochod-ktory-donosi-na-kierowce
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/ef376ff1073fd282f2834fb438086ba2ca08637dcecda27aba47681a547c566d,w104h74.jpg"/><br/> Kupiłeś nowe auto z salonu, które jak się okazało, samo donosi na właściciela, i nie nie jest to żart, clickbait tylko nowa rzeczywistość od 2025 roku. 


title: "Łezka zieleni za 330 tys. złotych" na Ursynowie obiegła internet niczym tornado
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665331/lezka-zieleni-za-330-tys-zlotych-na-ursynowie-obiegla-internet-niczym-tornado

url:
https://wykop.pl/link/7665331/lezka-zieleni-za-330-tys-zlotych-na-ursynowie-obiegla-internet-niczym-tornado

content:
 <img src="https://wykop.pl/cdn/c3397993/4d4a20523df415c6009f493420aba13ac44d4e3f1e69caece55b89b604b2f3b2,w104h74.jpg"/><br/> Okazała się fejkiem. Żadna nowość. 


guid: https://wykop.pl/link/7665081/jak-to-zydzi-z-usa-udawali-ze-kreca-film-w-legnicy
title: Jak to żydzi z USA udawali, że kręcą film w Legnicy
url: https://wykop.pl/link/7665081/jak-to-zydzi-z-usa-udawali-ze-kreca-film-w-legnicy
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/e6849595258bd87b8b473d15e3075421708f3322ca38fb7da6b78ba81d9b05e4,w104h74.jpg"/><br/> Amerykańscy filmowcy Dan Sturman, Gary Gilbert i Dylan Nelson zaprezentowali dokument dotyczący ukrytej kolekcji znaczków pocztowych skradzionych Żydom przez nazistów. Mężczyźni udawali kręcenie romantycznego filmu, aby zdobyć klucze do piwnicy przy ul. Tatarskiej, gdzie zamierzali odnaleźć skarb. 


title: Top 10 serwisów informacyjnych rozpowszechniających rosyjską propagandę w Polsce
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665061/top-10-serwisow-informacyjnych-rozpowszechniajacych-rosyjska-propagande-w-polsce

url:
https://wykop.pl/link/7665061/top-10-serwisow-informacyjnych-rozpowszechniajacych-rosyjska-propagande-w-polsce

content:
 <img src="https://wykop.pl/cdn/c3397993/318a71583b1b9e5b541eafcb3a6c703c87135a8a6d553963a1308bc047dcd76d,w104h74.jpg"/><br/> Te strony internetowe rutynowo linkują do rosyjskich państwowych platform propagandowych, które są objęte sankcjami w UE, cytują i/lub informują o ich treściach i manipulacyjnych materiałach. Z kolei rosyjskie media cytują te polskie media, aby wzmocnić twierdzenie, że w Europie są przyjaciele Rosji 


guid: https://wykop.pl/link/7665393/kupila-wyremontowala-i-sprzedala-4-mieszkania-skarbowka-wygrala-w-nsa
title: Kupiła, wyremontowała i sprzedała 4 mieszkania. Skarbówka wygrała w NSA
url: https://wykop.pl/link/7665393/kupila-wyremontowala-i-sprzedala-4-mieszkania-skarbowka-wygrala-w-nsa
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/49397d0934bcdd633e134d4945918079d337db722e237de241b499c072124853,w104h74.jpg"/><br/> Naczelny Sąd Administracyjny orzekł, że szybka sprzedaż mieszkań po remoncie powinna być traktowana jako działalność gos 


title: Kataster+portal cen transakcyjnych+demografia=program spadku cen mieszkań
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665177/kataster-portal-cen-transakcyjnych-demografia-program-spadku-cen-mieszkan

url:
https://wykop.pl/link/7665177/kataster-portal-cen-transakcyjnych-demografia-program-spadku-cen-mieszkan

content:
 <img src="https://wykop.pl/cdn/c3397993/0424b0e8ced912eee752498569406857d011637e46051a0ab1fea0df25a6ea79,w104h74.jpg"/><br/> Jaki byłby najlepszy program mieszkaniowy dla "budownictwa własnościowego"? Zdaniem Piotra Kuczyńskiego taki, który DOPROWADZIŁBY DO SPADKU CEN ZA m2, czyli kombinacja podatek katastralny od trzeciego mieszkania plus portal cen transakcyjnych. Resztę dopełni demografia. 


guid: https://wykop.pl/link/7665045/czas-na-demontaz-nord-stream-2-opinia
title: Czas na demontaż Nord Stream 2 [OPINIA]
url: https://wykop.pl/link/7665045/czas-na-demontaz-nord-stream-2-opinia
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/0d45260235c029222f07c1214184cb92dbd26e91c9e05d7f2555d86cd7de968f,w104h74.jpg"/><br/> Polacy byli mądrzy przed szkodą i ostrzegali przed zależnością od gazu z Rosji przez lata. Kanclerz Friedrich Merz może być mądry po szkodzie. Oto dokumenty, które mogą dobić politycznie Nord Stream 2. 


guid: https://wykop.pl/link/7665297/chca-odsunac-sutryka-zbiorka-podpisow-przyspiesza
title: Chcą odsunąć Sutryka. Zbiórka podpisów przyspiesza
url: https://wykop.pl/link/7665297/chca-odsunac-sutryka-zbiorka-podpisow-przyspiesza
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/2d62a800526bdf2fe91a72cf23193af735e1ac76455cd3bff668171ffed7ff21,w104h74.jpg"/><br/> Trwa zbiórka podpisów pod referendum w sprawie odwołania prezydenta Wrocławia Jacka Sutryk. Do tej pory zebrano około 33 tys podpisów z ponad 46 tys. potrzebnych 


guid: https://wykop.pl/link/7665509/wyglada-na-to-ze-sikorski-uruchomil-efekt-snieznej-kuli
title: Wygląda na to, że Sikorski uruchomił efekt śnieżnej kuli....
url: https://wykop.pl/link/7665509/wyglada-na-to-ze-sikorski-uruchomil-efekt-snieznej-kuli
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/15424264231154410a4e8a2475ff409af3962d6ab64398c003ca8ef9ab506fe6,w104h74.jpg"/><br/> Elon Musk poprosił o pilne spotkanie z prezydentem Włoch Sergio Mattarellą, ponieważ Rzym wydaje się wątpić w potencjalną umowę o wartości 1,5 mld dolarów ze Starlink, dostawcą internetu satelitarnego multimiliardera... 


title: Donald Tusk odpowiada na ataki na Radosława Sikorskiego. "Moralni bankruci"
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665513/donald-tusk-odpowiada-na-ataki-na-radoslawa-sikorskiego-moralni-bankruci

url:
https://wykop.pl/link/7665513/donald-tusk-odpowiada-na-ataki-na-radoslawa-sikorskiego-moralni-bankruci

content:
 <img src="https://wykop.pl/cdn/c3397993/3141c41800c11ee26ce5197001446c3ad131b40e281c6dd77774ac967332146a,w104h74.jpg"/><br/> "PiS atakując Sikorskiego, który spokojnie wykłada politykom innego państwa polską rację stanu, traci właśnie resztki na 


guid: https://wykop.pl/link/7665265/stereotypy-o-plciach-okazuja-sie-zaskakuaco-trafne
title: Stereotypy o płciach okazują się zaskakuąco... trafne!
url: https://wykop.pl/link/7665265/stereotypy-o-plciach-okazuja-sie-zaskakuaco-trafne
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/683ea7a861d54be0f3e676de514cb2394608a77c709aafd865acad114ed51bad,w104h74.jpg"/><br/> Gdy trwa dyskusja o tym, że stereotypy o płciach są ograniczające, okazuję się one być zaskakująco trafne. Mężczyźni i kobiety potrafili z 85% skutecznością stwierdzić, która płeć posiada daną cechę charakteru. Stereotypy okazują się zawierać trafne wzorce zachowań i roli w społeczeństwie obu płci. 


guid: https://wykop.pl/link/7665161/naprawia-rtv-od-50-lat-robili-tak-zeby-sie-psulo
title: Naprawia RTV od 50 lat. "Robili tak, żeby się psuło"
url: https://wykop.pl/link/7665161/naprawia-rtv-od-50-lat-robili-tak-zeby-sie-psulo
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/6a7a13ddb33f9efb6f51fd59b872d78672f798e4f3adcb9c2157ad17780b1fc9,w104h74.jpg"/><br/> W sercu krakowskich Bronowic działa najbardziej kultowy serwis RTV, prowadzony przez Pana Wiesława Urasińskiego. Człowieka, który od 1969 roku naprawia radia, magnetofony i telewizory. W rozmowie odkrywamy tajemnice jego warsztatu, fascynację starym sprzętem i pytamy o skracanie życia produktu. 


guid: https://wykop.pl/link/7665047/szwedzkie-wojsko-w-12-minut
title: Szwedzkie wojsko w 12 minut
url: https://wykop.pl/link/7665047/szwedzkie-wojsko-w-12-minut
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/8cda01867171a6ab667bf3c30bbf50bc9bfe155f8d08425f76be7bcd1ee0b3ea,w104h74.jpg"/><br/> Po 200 latach bez wojen koniec z neutralnością. Szwedzkie wojsko obecne na Łotwie, teraz też w Polsce. Prezentacja ich autorskiego sprzętu i zdolności. W dodatku: geografia. 


guid: https://wykop.pl/link/7665355/osiemdziesiatka-ze-sternikiem
title: Osiemdziesiątka ze sternikiem.
url: https://wykop.pl/link/7665355/osiemdziesiatka-ze-sternikiem
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/bbe70bc233425799b3fbe32370f699c74cb1e2c0f1e8cab5da69156a1b85d58d,w104h74.jpg"/><br/> Wyścig finałowy. 


title: Jak cicho trzeba siedzieć by skończyć studia weterynaryjne? "Sygnalista" na URK
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665009/jak-cicho-trzeba-siedziec-by-skonczyc-studia-weterynaryjne-sygnalista-na-urk

url:
https://wykop.pl/link/7665009/jak-cicho-trzeba-siedziec-by-skonczyc-studia-weterynaryjne-sygnalista-na-urk

content:
 <img src="https://wykop.pl/cdn/c3397993/487e923dc7da9a13f6be089fab11298c451d3d01fb8362fc28c1bafa4ca2f483,w104h74.jpg"/><br/> Historia, o której opowiada serial reporterski 'Sygnalista' jest pokłosiem głośnej sprawy 'Karp gate' na Uniwersytecie Rolniczym w Krakowie 


title: Kosztował kilka milionów. Symulator lotów SG jest zgruzowany przez dzieciaków
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665661/kosztowal-kilka-milionow-symulator-lotow-sg-jest-zgruzowany-przez-dzieciakow

url:
https://wykop.pl/link/7665661/kosztowal-kilka-milionow-symulator-lotow-sg-jest-zgruzowany-przez-dzieciakow

content:
 <img src="https://wykop.pl/cdn/c3397993/4e6257b858762d5f812a56ef8f74cecf2ae7acaf393a9f8f1969795cba2e6dcf,w104h74.jpg"/><br/> Według nieoficjalnych informacji symulator mógł zostać uszkodzony przez dzieci funkcjonariuszy, które miały dostęp do urządzenia. Sprawą zajmuje się CBA. 


guid: https://wykop.pl/link/7665733/fundacja-zycie-powinna-zwrocic-do-budzetu-ponad-15-milionow-zlotych
title: Fundacja Życie powinna zwrócić do budżetu ponad 15 milionów złotych
url: https://wykop.pl/link/7665733/fundacja-zycie-powinna-zwrocic-do-budzetu-ponad-15-milionow-zlotych
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/a9c9c09af59f2e1545356345aa3001a28d871e8842543987e8d56d4c0ebd84b8,w104h74.jpg"/><br/> Z audytu wynika że fundacja zatrudniająca bliskich współpracowników Marcina Romanowskiego zamiast pomocy wypłacała liczone w setkach tysięcy złotych wynagrodzenie prezesowi, jego żonie oraz dzieciom. 


guid: https://wykop.pl/link/7665709/wykop-zauwazyl-dzien-mezczyzn
title: Wykop zauważył Dzień Mężczyzn
url: https://wykop.pl/link/7665709/wykop-zauwazyl-dzien-mezczyzn
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/e80699c41b88ad071f6a5dbb001ec0ff87fa2c164d3e45f9093c44330238e94b.png"/><br/> Wstaję rano, wychodzę z psem, zrobiłbym sobie kawy, ale kawy nie piję, więc odpada mi czynność zwana robieniem kawy, włączam Internet i... widzę, że Wykop odnotował, zauważył Dzień Mężczyzn. Brawo, całkiem nieironiczne brawa. 


title: Niemcy rozważają anulowanie zakupu F35, z powodu potencjalnego "Kill switcha"
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665805/niemcy-rozwazaja-anulowanie-zakupu-f35-z-powodu-potencjalnego-kill-switcha

url:
https://wykop.pl/link/7665805/niemcy-rozwazaja-anulowanie-zakupu-f35-z-powodu-potencjalnego-kill-switcha

content:
 <img src="https://wykop.pl/cdn/c3397993/284ca3583dc926208104a0d70e0a90d9b9e016a49856afb0c0f16b922b977854.png"/><br/> Mr Ischinger said: If we should fear that the US would make the future German F-35 [jets] the same as they do in Ukraine now, then the issue of contract cancellation may be considered. 


guid: https://wykop.pl/link/7665783/amerykanska-spolka-blackrock-przejmie-port-w-gdyni
title: Amerykańska spółka BlackRock przejmie port w Gdyni.
url: https://wykop.pl/link/7665783/amerykanska-spolka-blackrock-przejmie-port-w-gdyni
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/7fe24cd266f57e62274548b42a7110a330028936f0a8c312fec2b7b8fad0ca6e,w104h74.jpg"/><br/> Amerykański fundusz BlackRock przejmie kontrolowany przez Chiny podmiot CK Hutchinson, który jest operatorem portów w wielu krajach, w tym także gdyńskiego terminalu. "To element globalnej gry administracji Donalda Trumpa, która chce odzyskać infrastrukturę krytyczną na całym świecie...". 


guid: https://wykop.pl/link/7665747/eutelsat-konkurent-muska-z-imponujacym-wzrostem
title: Eutelsat, konkurent Muska z imponującym wzrostem
url: https://wykop.pl/link/7665747/eutelsat-konkurent-muska-z-imponujacym-wzrostem
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/3f9fca1c8369210718e330329fe13ed132e1e0f9e516c59f5f604fa642ec1a47,w104h74.jpg"/><br/> Francuski operator satelitarny Eutelsat ma za sobą imponujący tydzień. Notowania spółki wzrosły o 550 proc. w ciągu zaledwie jednego tygodnia, a kapitalizacja firmy skoczyła o ponad 3 mld dol. W ostatnim czasie pojawiły się sugestie, że satelity Eutelsatu mogłyby zastąpić Starlinki 


title: Ekspert: "Sytuacja NFZ to katastrofa. W drugiej połowie roku można gasić światło
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665671/ekspert-sytuacja-nfz-to-katastrofa-w-drugiej-polowie-roku-mozna-gasic-swiatlo

url:
https://wykop.pl/link/7665671/ekspert-sytuacja-nfz-to-katastrofa-w-drugiej-polowie-roku-mozna-gasic-swiatlo

content:
 <img src="https://wykop.pl/cdn/c3397993/3ee2213f514e606aa70912229a7ab79bac457ba7e52de97f3e1e9b8e38fd4fee,w104h74.jpg"/><br/> Ekspert w rozmowie z Onetem ostrzega, że w najbliższym czasie dojdzie do "załamania sytuacji chorych, którego nie widział jeszcze ten system", a za część problemu odpowiadają wynagrodzenia lekarzy, z których niektórzy "zarabiają zbyt dużo". W którymś momencie trzeba powiedzieć stop zaznacza. 


guid: https://wykop.pl/link/7665819/polska-nalozy-podatek-cyfrowy-na-amerykanskie-firmy-it
title: Polska nałoży podatek cyfrowy na amerykańskie firmy IT
url: https://wykop.pl/link/7665819/polska-nalozy-podatek-cyfrowy-na-amerykanskie-firmy-it
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/af9d5c1cb903d97e536febc8003e18e91373c4aa14533a8ae3ff08796a489fbb,w104h74.jpg"/><br/> Rząd chce opodatkować m.in. Google i Meta (Facebook) tak aby zaczęły płacić podatki od pieniędzy zarabianych w Polsce. Czyżby wojna handlowa zaczęła się na całego? 


guid: https://wykop.pl/link/7665889/pozegnanie-azji-srodkowej-z-cyrylica
title: Pożegnanie Azji Środkowej z cyrylicą
url: https://wykop.pl/link/7665889/pozegnanie-azji-srodkowej-z-cyrylica
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/59011facc9736febef2d96b6601aa94c9b4f3476bdd80d0c24953d2cec91532d,w104h74.jpg"/><br/> Byłe republiki sowieckie w Azji Środkowej przechodzą z zapisywania swoich języków narodowych (kazachskiego, turkmeńskiego, uzbeckiego, azerskiego, tadżyckiej odmiany perskiego) cyrylicą na alfabet łaciński. Proces derusyfikacji nie wszędzie przebiega łatwo, ale postępuje z pokolenia na pokolenie. 


guid: https://wykop.pl/link/7665615/loty-z-polski-odwolane-strajk-na-niemieckich-lotniskach
title: Loty z Polski odwołane. Strajk na niemieckich lotniskach
url: https://wykop.pl/link/7665615/loty-z-polski-odwolane-strajk-na-niemieckich-lotniskach
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/527e9440aad0a5fdcfb7ef389ea53808121a249e7d4039483ba86e76466d8bc8,w104h74.jpg"/><br/> Kłopoty pasażerów na niemieckich lotniskach. Odwołanych dziś może zostać ponad 3400 lotów. Powodem jest strajk związku zawodowego 


title: Ukraińskie F-16 straciły wsparcie USA. To zagrożenie dla ich możliwości walki
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665883/ukrainskie-f-16-stracily-wsparcie-usa-to-zagrozenie-dla-ich-mozliwosci-walki

url:
https://wykop.pl/link/7665883/ukrainskie-f-16-stracily-wsparcie-usa-to-zagrozenie-dla-ich-mozliwosci-walki

content:
 <img src="https://wykop.pl/cdn/c3397993/ca84329a20fcee9d2f0cb4cb62a4682ba9979b24249550849205afc4c57349f3,w104h74.jpg"/><br/> Stany Zjednoczone częściowo wstrzymały wsparcie dla myśliwców F-16 używanych przez Ukrainę do obrony przed rosyjskimi atakami powietrznymi. Administracja USA zdecydowała m.in. o zawieszeniu dostaw kluczowych komponentów dla systemów walki elektronicznej. Może to w dość krótkim czasie... 


guid: https://wykop.pl/link/7665877/deweloperzy-jednak-zarobia-na-programie-pierwsze-klucze
title: Deweloperzy jednak zarobią na programie "Pierwsze Klucze"?
url: https://wykop.pl/link/7665877/deweloperzy-jednak-zarobia-na-programie-pierwsze-klucze
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/7b68b70cb644d757d8e6a6e564b9c64d0e16cfaa8097d21283d5381f4c0fa7e3,w104h74.jpg"/><br/> A miało wyjść inaczej... Czyli znowu czeka nas podwyżka cen. Czy tą machinę da się jeszcze zatrzymać? 


guid: https://wykop.pl/link/7665183/ostrzezenie-przed-sklepem-ambersport-pl-ani-towaru-ani-kasy
title: Ostrzeżenie przed sklepem ambersport.pl - ani towaru ani kasy
url: https://wykop.pl/link/7665183/ostrzezenie-przed-sklepem-ambersport-pl-ani-towaru-ani-kasy
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/fcde21ce2ebd084709be1d80c404cffd8aa8b1354cf1af1d4aa9c68cade9da12.png"/><br/> Mirki, Mirabelki Chcę Was ostrzec przed kupowaniem czegokolwiek w sklepie ambersport.pl lub&nbsp;https://sportsforce.pl/ TL;DR: po zakupie nie ma ani towaru ani zwrotu pieniędzy. Sami wiecie jak to się nazywa. W grudniu 2024 (!) złożyłem zamówienie, płatność blikiem, bo wygodnie a kwota mała. Zamów 


guid: https://wykop.pl/link/7665927/mieszkancy-krytykuja-murapol-za-ignorowanie-wad-budowlanych
title: Mieszkańcy krytykują Murapol za ignorowanie wad budowlanych
url: https://wykop.pl/link/7665927/mieszkancy-krytykuja-murapol-za-ignorowanie-wad-budowlanych
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/6ae034f1f37cf4ed83b7d2b78fe072399138423b313f22ffff8d907310179d43,w104h74.jpg"/><br/> Polski Związek Firm Deweloperskich (PZFD) podkreśla konieczność wysokich standardów budowlanych, a Iwona Sroka, członkini zarządu Murapolu, wcześniej deklarowała priorytet dla jakości i zadowolenia klientów. To kontrastuje z doświadczeniami mieszkańców 


title: Ponad 6 tys. osób dało głos ws. ustawy o jawności cen mieszkań-dodaj swój!
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665963/ponad-6-tys-osob-dalo-glos-ws-ustawy-o-jawnosci-cen-mieszkan-dodaj-swoj

url:
https://wykop.pl/link/7665963/ponad-6-tys-osob-dalo-glos-ws-ustawy-o-jawnosci-cen-mieszkan-dodaj-swoj

content:
 <img src="https://wykop.pl/cdn/c3397993/f9cf98997c0c99eeb924c2e4e3c8cd4b37883fae134d323f928bfe1aa3bda07b,w104h74.jpg"/><br/> Deweloperzy powinni podawać ceny od początku bez kruczków i manipulacji.Ponad 6000 osób już zabrało głos w konsultacjach nad ustawą o jawności cen! Teraz czas na Ciebie. Link (pozycja 12): https://www.sejm.gov.pl/sejm10.nsf/agent.xsp?symbol=KONSULTACJE_PROJEKTY&NrKadencji=10&Wsk=T 


title: Znów gorąco na granicy z Białorusią. Aż 210 prób, migranci rzucali kamieniami
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7666027/znow-goraco-na-granicy-z-bialorusia-az-210-prob-migranci-rzucali-kamieniami

url:
https://wykop.pl/link/7666027/znow-goraco-na-granicy-z-bialorusia-az-210-prob-migranci-rzucali-kamieniami

content:
 <img src="https://wykop.pl/cdn/c3397993/35a6404aa40c2d51f95563d4c1fed777d4f0fdc13b42eeab1091a836505c3829,w104h74.jpg"/><br/> Ponad 210 osób próbowało w miniony weekend nielegalnie przekroczyć granicę polsko-białoruską. Jak informuje straż graniczna, to jedna czwarta liczby wszystkich prób przekroczeń od początku roku. 


guid: https://wykop.pl/link/7666039/kazda-rodzina-otrzyma-paczke-w-srodku-poradnik-kryzysowy-od-rzadu
title: Każda rodzina otrzyma paczkę. W środku poradnik kryzysowy od rządu.
url: https://wykop.pl/link/7666039/kazda-rodzina-otrzyma-paczke-w-srodku-poradnik-kryzysowy-od-rzadu
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/0736f0d83d0c2183e28219edb032d95b70640a3eba9658b17afccf70c66f0ba6,w104h74.jpg"/><br/> Jak przygotować się na kilkunastodniowy brak prądu, jak nie ulec panice, jak przetrwać w warunkach kryzysu przez 72 godziny, co mieć przygotowane na wypadek ewakuacji - o tym m.in. będzie można przeczytać w poradniku na czas kryzysu i wojny. Taką właśnie broszurę - nadaną paczką - ma otrzymać każdy. 


guid: https://wykop.pl/link/7665847/zdolnosc-kredytowa-prezes-uokik-mowi-sprawdzam
title: Zdolność kredytowa: Prezes UOKiK mówi sprawdzam
url: https://wykop.pl/link/7665847/zdolnosc-kredytowa-prezes-uokik-mowi-sprawdzam
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/43a06fcefdc3f2bcded670849bcdfc83ae876aa36c9b112987a25e006969d57a.png"/><br/> Prezes UOKiK wszczął postępowanie wyjaśniające, w którym bada czy mogło dojść do ograniczenia konkurencji w sektorze bankowym. 


title: Waligóra, Chełmiec i Dzikowiec, czyli 2 szczyty KGP i wysoka, bezpłatna wieża wi
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665659/waligora-chelmiec-i-dzikowiec-czyli-2-szczyty-kgp-i-wysoka-bezplatna-wieza-wi

url:
https://wykop.pl/link/7665659/waligora-chelmiec-i-dzikowiec-czyli-2-szczyty-kgp-i-wysoka-bezplatna-wieza-wi

content:
 <img src="https://wykop.pl/cdn/c3397993/93b960f5bf6d9c8b1d1f0ac7f158158915e6dee395ca5afaadf0f44050829224,w104h74.jpg"/><br/> Niedaleko Wałbrzycha, w promieniu 6 kilometrów znajdują się 3 ciekawe szczyty. 2 z nich należą do Korony Gór Polski jako najwyższe szczyty Gór Kamiennych i Wałbrzyskich (choć Chełmiec najwyższym nie jest), a trzeci to Dzikowiec z nową, blisko 40-metrową i całkowicie darmową, wieżą widokową. 


guid: https://wykop.pl/link/7665753/garsc-ciekawostek-o-czarnych-dziurach-z-ladnymi-obrazkami
title: Garść ciekawostek o czarnych dziurach (z ładnymi obrazkami!)
url: https://wykop.pl/link/7665753/garsc-ciekawostek-o-czarnych-dziurach-z-ladnymi-obrazkami
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/3492e7a63192da81e710ccb9ed4480960aafdbb1e7311db55865d6312e95c38f,w104h74.jpg"/><br/> Film, w którym opowiadam trochę o tym, jak czarna dziura zniekształca obraz i o kilku zjawiskach relatywistycznych, takich jak aberracja czy wleczenie układów inercjalnych. "Ładne obrazki" to symulacje, które wykonałem programem własnego autorstwa. 


title: Państwowy PARP przeznaczy 60 mln zł z publicznych pieniędzy na kobiece biznesy
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7666105/panstwowy-parp-przeznaczy-60-mln-zl-z-publicznych-pieniedzy-na-kobiece-biznesy

url:
https://wykop.pl/link/7666105/panstwowy-parp-przeznaczy-60-mln-zl-z-publicznych-pieniedzy-na-kobiece-biznesy

content:
 <img src="https://wykop.pl/cdn/c3397993/b4a2172f5d31c7105bcfeaeece76c09475c035fb43aba6733acaeee0c463a442,w104h74.jpg"/><br/> Z pomocy wyłączone są stricte męskie firmy 


title: Za ponad 3 miliardy zł w Gdańsku powstają dwa wielkie terminale w Baltic Hub
feedurl: https://wykop.pl/rss
guid:
https://wykop.pl/link/7665861/za-ponad-3-miliardy-zl-w-gdansku-powstaja-dwa-wielkie-terminale-w-baltic-hub

url:
https://wykop.pl/link/7665861/za-ponad-3-miliardy-zl-w-gdansku-powstaja-dwa-wielkie-terminale-w-baltic-hub

content:
 <img src="https://wykop.pl/cdn/c3397993/0b7fdd5f659e0adf049abd90ebea69c26e2a410e595cd76b430134544fb3d056,w104h74.jpg"/><br/> W Gdańsku realizowane są kolejne dwie wielkie inwestycje. Na terenie Baltic Hub powstają dwa nowe terminale T3 i T5. Więcej informacji o tych inwestycjach + nowe filmy -> 


guid: https://wykop.pl/link/7666107/robert-zielinski-nadal-probuje-wybielac-sie-z-afery-soltysa
title: Robert Zieliński nadal próbuje wybielać się z afery sołtysa
url: https://wykop.pl/link/7666107/robert-zielinski-nadal-probuje-wybielac-sie-z-afery-soltysa
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/26c086252d0a35488f3aae81b3a6ecd36dd0582f5a52c404c32a8a6f0b8d6013,w104h74.jpg"/><br/> On sołtysa nigdy nie znał i nie pił z nim kawy.. 


title: Depozyt z chorągwią wojskową 37 pp niewiarygodne odkrycie poszukiwaczy
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guid:
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url:
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content:
 <img src="https://wykop.pl/cdn/c3397993/d13f5ed70844052c209a231bc84943bf511bd661fe21e4ddd79f075e06df02a9,w104h74.jpg"/><br/> Poszukiwacze z Sochaczewskiej Grupy Odkrywców Historii, dokonali niezwykłego odkrycia. Natrafili na kankę w której najprawdopodobniej jest zaginiony we wrześniu 1939 roku sztandar wojskowy 37 Łęczyckiego Pułku Piechoty im. ks. Józefa Poniatowskiego. 


title: Plajta sieci wegańskich restauracji. Jeszcze niedawno byli liderem w Polsce
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guid:
https://wykop.pl/link/7665725/plajta-sieci-weganskich-restauracji-jeszcze-niedawno-byli-liderem-w-polsce

url:
https://wykop.pl/link/7665725/plajta-sieci-weganskich-restauracji-jeszcze-niedawno-byli-liderem-w-polsce

content:
 <img src="https://wykop.pl/cdn/c3397993/cd46a160ffc030783f70c1b81591ae1b1b66d1fc3a0da8c30aaa500f8d34ba63,w104h74.jpg"/><br/> Krowarzywa, sieć wegańskich restauracji, która działała na rynku przez ponad dekadę, zamyka swoje ostatnie restauracje. "Puls Biznesu" poinformował w poniedziałek, że pod koniec marca sieć zakończy działalność. Ostatni lokal przy ul. Chmielnej w Warszawie przestanie działać. 


guid: https://wykop.pl/link/7665713/obowiazek-czipowania-psow-nowe-regulacje-i-kary-dla-wlascicieli
title: Obowiązek czipowania psów. Nowe regulacje i kary dla właścicieli.
url: https://wykop.pl/link/7665713/obowiazek-czipowania-psow-nowe-regulacje-i-kary-dla-wlascicieli
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/a3bccbac7d667817e190e86c5981735306f66da54ba2f9a63816d473577f9853,w104h74.jpg"/><br/> Właściciele psów będą musieli zaczipować swoje zwierzęta w ciągu trzech lat od utworzenia Krajowego Rejestru Oznakowanych Psów i Kotów (KROPiK), inaczej grozi im grzywna. 


guid: https://wykop.pl/link/7666043/mieli-byc-51-stanem-usa-zastanawiaja-sie-czy-zostac-28-czlonkiem-eu
title: Mieli być 51 stanem USA. Zastanawiają się czy zostać 28 członkiem EU.
url: https://wykop.pl/link/7666043/mieli-byc-51-stanem-usa-zastanawiaja-sie-czy-zostac-28-czlonkiem-eu
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content:
 <img src="https://wykop.pl/cdn/c3397993/5972ae708850bd4df720f1ade494bffa2cca74d88f5e7a1ff45fe6394509453f,w104h74.jpg"/><br/> Polityka taryfowa Trumpa nadwyrężyła stosunki USA-Kanada. Kanadyjscy przywódcy ponownie oceniają swoje stosunki z USA. Rozważają złożenie wniosku o członkostwo w EU. Europa potrzebuje przestrzeni i zasobów, Kanada potrzebuje ludzi. Rządzący EU nie mówią nie. 


guid: https://wykop.pl/link/7666147/ministerstwo-zdrowia-bierze-sie-za-znachorow-nawet-milion-zl-kary
title: Ministerstwo Zdrowia bierze się za "znachorów". Nawet milion zł kary
url: https://wykop.pl/link/7666147/ministerstwo-zdrowia-bierze-sie-za-znachorow-nawet-milion-zl-kary
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/4c8990c5229a406c539eb8e9d9c604d2fc826198b030fbae67968a21a7a6326b,w104h74.jpg"/><br/> Ministerstwo Zdrowia uderza w prowadzących praktyki pseudomedyczne. Rzecznik Praw Pacjenta będzie mógł w postępowaniach 


guid: https://wykop.pl/link/7666275/wojt-gminy-sztutowo-zarabia-wiecej-niz-minister-spraw-zagranicznych
title: Wójt Gminy Sztutowo zarabia więcej niż Minister Spraw Zagranicznych
url: https://wykop.pl/link/7666275/wojt-gminy-sztutowo-zarabia-wiecej-niz-minister-spraw-zagranicznych
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content:
 <img src="https://wykop.pl/cdn/c3397993/54643b4379afd8452e05f32572421963b87d4e8e3a6e74b54a161369f32ec51b,w104h74.jpg"/><br/> Przed wyborami kandydat obiecywał, że starczy mu 5000zł netto, teraz to 12.000 netto + dodatki. 


guid: https://wykop.pl/link/7665793/czy-to-najbardziej-zaniedbane-tramwaje-na-swiecie
title: Czy to najbardziej zaniedbane tramwaje na świecie?
url: https://wykop.pl/link/7665793/czy-to-najbardziej-zaniedbane-tramwaje-na-swiecie
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/481818da854ec97f8600b98f92f337410eefca5887daa616f8fae60f44b0985f,w104h74.jpg"/><br/> Egipt - Aleksandria nad morzem Śródziemnym to duże, ale rzadko odwiedzane przez turystów miasto. My wpadliśmy tu, by zobaczyć najstarszą sieć tramwajową w Afryce (i jedyną w kraju), obsługiwaną częściowo przez stare, niemieckie wagony. To trochę inny Egipt niż ten, znany z All Inclusive. 


title: Wandale wdarli się na teren metra. Wykoleił się pociąg, interweniowała policja
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content:
 <img src="https://wykop.pl/cdn/c3397993/24a3f8b838b8997d957dc30228160a20a6508e14d0d71ec5aa81491defff43d7.webp"/><br/> Policja interweniowała w nocy na terenie Stacji Techniczno-Postojowej na Kabatach. Do środka wdarła się grupa wandali. Funkcjonariusze wyjaśniają, czy wtargnięcie nieuprawnionych osób na teren Metra Warszawskiego miało związek z wykolejeniem się jednego ze składów. 


title: Tak FIS chciał ukryć oszustwa Norwegów. Tego zdjęcia jeszcze nie pokazywaliśmy
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https://wykop.pl/link/7665919/tak-fis-chcial-ukryc-oszustwa-norwegow-tego-zdjecia-jeszcze-nie-pokazywalismy

url:
https://wykop.pl/link/7665919/tak-fis-chcial-ukryc-oszustwa-norwegow-tego-zdjecia-jeszcze-nie-pokazywalismy

content:
 <img src="https://wykop.pl/cdn/c3397993/b630dd8397c3d636fd3a300b1a79eccb9cceaa8501fa14655484e9d7a3b95d6c,w104h74.jpg"/><br/> Kontroler sprzętu Christian Kathol próbował zdyskredytować ujawnione przez Sport.pl wideo 


guid: https://wykop.pl/link/7665951/opoznienia-w-rozbudowie-cpk-i-okecia-szef-ppl-zostal-odwolany
title: Opóźnienia w rozbudowie CPK i Okęcia. Szef PPL został odwołany
url: https://wykop.pl/link/7665951/opoznienia-w-rozbudowie-cpk-i-okecia-szef-ppl-zostal-odwolany
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content:
 <img src="https://wykop.pl/cdn/c3397993/5ac6329f8aba9b687b9a57f15c24d63eaf5ef78cfe336e4c45d3857b97a67cff,w104h74.jpg"/><br/> Rozbudowa Lotniska Chopina oraz wybudowanie CPK to tematy, które w ostatnich miesiącach, a w sumie już latach rozgrzewają publiczne dyskusje dotyczące przyszłości Polski. Nowe światło na sprawę rzuca jednak dymisja prezesa PPL oraz kolejne opóźnienia związane z oboma przedsięwzięciami. 


guid: https://wykop.pl/link/7665935/zderzenie-statkow-u-wybrzezy-anglii-na-tankowcu-wybuchl-pozar
title: Zderzenie statków u wybrzeży Anglii. Na tankowcu wybuchł pożar.
url: https://wykop.pl/link/7665935/zderzenie-statkow-u-wybrzezy-anglii-na-tankowcu-wybuchl-pozar
feedurl: https://wykop.pl/rss
content:
 <img src="https://wykop.pl/cdn/c3397993/8b725c653dcb1e51afe9c7f209204d1cacc5a791797b9d945eba3b2084b3c7c9,w104h74.jpg"/><br/> Na Morzu Północnym, u północno-wschodniego wybrzeża Anglii, doszło do zderzenia dwóch statków - tankowca i kontenerowca. BBC przekazało, że na tym pierwszym wybuchł pożar. Trwa akcja ratownicza. 


guid: https://math.stackexchange.com/q/5041920
title: Billiards ball on the table
author: matholympicman
url: https://math.stackexchange.com/questions/5041920/billiards-ball-on-the-table
feedurl: https://math.stackexchange.com/feeds
content:
            <p>Initially, the red table contains 111 billiard balls of different colors, while the white table is empty. Starting with the red table, operations are performed alternately on the tables. In each operation, one or more balls are selected from the current table and transferred to the other table. The same subset of balls cannot be selected more than once. Find the maximum number of operations that can be performed.</p>
<p>My solution is as follows but I'm not sure. What do you think?</p>
<p>In each operation, one or more balls are selected from the current table and transferred to the other table. The same subset of balls cannot be selected more than once. We want to find find the maximum number of operations that can be performed. If there are n balls in a set, the total number of subsets (including the empty subset) is: <span class="math-container">$2^n$</span></p>
<p>For the 111 balls on the red table, the total number of subsets is: <span class="math-container">$2^{111}$</span></p>
<p>However, the empty subset cannot be selected because at least one ball must be transferred in each operation. The maximum number of moves is derived by recognizing that each move alternates between tables and uses a unique subset. The alternation constraint effectively halves the number of usable subsets, leading to the formula. Therefore, the total number of valid subsets must be  <span class="math-container">$2^{111-1}$</span></p>

        


guid: https://math.stackexchange.com/q/5042862
title: Trying to Understand Nest Characterization of Compactness
author: Arthur Farias Zaneti
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5042862/trying-to-understand-nest-characterization-of-compactness

content:
            <p>hope you are having a great day! I've been self studying General Topology from John Kelley's book &quot;General Topology&quot; and I'm struggling with the following problem:</p>
<blockquote>
<p><strong>H) Nest Characterization of Compactness</strong>: A topological Space X is compact iff each nest of closed non-void sets has a non-void intersection. (Recall that a nest is a family of non-void sets which is linearly ordered by inclusion. If each nest of closed non-void sets has non-void intersection and <span class="math-container">$\mathcal{A}$</span> is a family of closed sets with the finite intersection property, let <span class="math-container">$\mathcal{B}$</span> be a maximal family of closed sets which contains <span class="math-container">$\mathcal{A}$</span> and has the finite intersection property, and let <span class="math-container">$\mathcal{N}$</span> be a maximal nest in <span class="math-container">$\mathcal{B}.$</span> Examination of the properties of <span class="math-container">$\mathcal{B}$</span> and of <span class="math-container">$\mathcal{N}$</span> leads to the proof).</p>
</blockquote>
<p>I don't have essentially any experience with set theory besides that which was presented in this book so I'm having dificulties understanding his hint. For instance, what is the argument for the existence of such family <span class="math-container">$\mathcal{B}$</span>? I understand that he is most likely using the Hausdorff Maximal Principle to get the nest <span class="math-container">$\mathcal{N}$</span> but I don't really undestand how. Any clarification on these ideas would be greatly appreciated.</p>
<p>Also, the exercises asks to prove an iff statement, but the doesn't the nest property hold for <span class="math-container">$\mathbb{R}$</span> by the Nested Intervals construction (<a href="https://en.wikipedia.org/wiki/Nested_intervals" rel="nofollow noreferrer">Axiom of Completeness</a>) despite <span class="math-container">$\mathbb{R}$</span> not being compact?</p>

        


guid: https://math.stackexchange.com/q/5043378
title: Solution strategy for showing that $|(a,b)| = \operatorname{lcm}(|a|,|b|)$
author: Mathematical Endeavors
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5043378/solution-strategy-for-showing-that-a-b-operatornamelcma-b

content:
            <p>I am trying to solve Problem 1.1.30 in Dummit and Foote, which states:</p>
<blockquote>
<p>Prove that the elements <span class="math-container">$(a,1)$</span> and <span class="math-container">$(1,b)$</span> of <span class="math-container">$A \times B$</span> commute and deduce that the order of <span class="math-container">$(a,b)$</span> is the least common multiple of <span class="math-container">$|a|$</span> and <span class="math-container">$|b|$</span>.</p>
</blockquote>
<p>The problem doesn’t state that <span class="math-container">$a$</span> and <span class="math-container">$b$</span> have finite order, but to even talk about the l.c.m., they surely have to. So I think that assumption is implicit.</p>
<p>I am mainly confused about using the fact that <span class="math-container">$(a,1)$</span> and <span class="math-container">$(1,b)$</span> commute. I can prove this, because it’s a consequence of the group identity axiom. But it doesn’t seem that it’s completely necessary to showing that <span class="math-container">$|(a,b)| = \operatorname{lcm}(|a|,|b|)$</span>. The most natural way I would think to prove it is to show by induction that <span class="math-container">$(a,b)^n = (a^n, b^n)$</span> for every natural number <span class="math-container">$n$</span> and deduce from this that <span class="math-container">$|(a,1)| = |a|$</span> and <span class="math-container">$|(1,b)| = |b|$</span>. Then I can define <span class="math-container">$\ell = \operatorname{lcm}(|a|,|b|)$</span>, so <span class="math-container">$\ell = n|a|$</span> and <span class="math-container">$\ell = m|n|$</span> for postive integers <span class="math-container">$n$</span> and <span class="math-container">$m$</span> and show that <span class="math-container">$(a,b)^{\ell} = (1,1)$</span>:
<span class="math-container">\begin{align*}
(a,b)^{\ell} &amp;= (a^{\ell}, b^{\ell}) \\
&amp;= (a^{n|a|}, b^{m|b|}) \\
&amp;= ((a^{|a|})^n, (b^{|b|})^m) \\
&amp;= (1^n, 1^m) \\
&amp;= (1,1).
\end{align*}</span>
That implies that <span class="math-container">$|(a,b)|$</span> divides <span class="math-container">$\ell$</span>, and I can similarly show that <span class="math-container">$|(a,b)|$</span> has to be a multiple of both <span class="math-container">$|a|$</span> and <span class="math-container">$|b|$</span> and therefore divisible by <span class="math-container">$\ell$</span>.</p>
<p>I haven’t used, however, the fact that <span class="math-container">$(a,1)$</span> and <span class="math-container">$(1,b)$</span> commute. I’m not sure if this is an alternative strategy or I’m missing something. One possibility that came to mind is that the authors were intending for me to show by induction that <span class="math-container">$(a,1)^n = (a^n, 1)$</span> and <span class="math-container">$(1,b)^n = (1,b^n)$</span> for every positive integer <span class="math-container">$n$</span>, and write <span class="math-container">$(a,b) = (a,1)(1,b)$</span> and proceed from there. I’m hoping to solve this problem in the way that the authors intended.</p>

        


guid: https://math.stackexchange.com/q/5043620
title: Error term in Laplace's method
author: mathim1881
url: https://math.stackexchange.com/questions/5043620/error-term-in-laplaces-method
feedurl: https://math.stackexchange.com/feeds
content:
            <p>If I have an integral of the form (<span class="math-container">$f$</span> and <span class="math-container">$g$</span> are both real continuous) <span class="math-container">$$I(x)=\int_a^b f(t) e^{-x g(t)} dt$$</span> as <span class="math-container">$x\to\infty$</span> and if <span class="math-container">$g$</span> attains its maximum (in the interval <span class="math-container">$[a,b]$</span>) at some <span class="math-container">$c$</span> where <span class="math-container">$a&lt;c&lt;b$</span> and <span class="math-container">$f(c)\neq 0$</span>, then I can apply Laplace's method (so long as  to get the leading order of <span class="math-container">$I(x)$</span> which will be like <span class="math-container">$$I(x)\sim \frac{\sqrt{2\pi}f(c)e^{xg(c)}}{\sqrt{x g''(c)}}.$$</span> The basic idea behind Laplace's method and this leading order term is that we expand the exponential term in the integrand around its minima and since the first derivative term vanishes, we get the leading order depending on the second derivative of <span class="math-container">$g$</span> and the first order term in the expansion of <span class="math-container">$f$</span> gives us the <span class="math-container">$f(c)$</span> term.</p>
<p>Now I am wondering how to get the error term (or second order term) in this kind of expansion. My basic point of confusion is whether the second order term in <span class="math-container">$f$</span> (first derivative of <span class="math-container">$f$</span> term) plays a role or whether the third order (third derivative of <span class="math-container">$g$</span> term) term in the expansion of <span class="math-container">$g$</span> plays a role or both. This may sound a bit confusing, the way I stated the question, but I guess the basic question is: how does one get the error term in Laplace's method?</p>
<p>I am not sure if I need to start considering dominant balance between the next order terms in the expansions of <span class="math-container">$f$</span> and <span class="math-container">$g$</span>. If so, this can get very messy and very complicated in my specific problem. Thanks for any help in advance!</p>

        


guid: https://math.stackexchange.com/q/5043917
title: Sum of reciprocals of rising factorials [closed]
author: Abdelhay Benmoussa
url: https://math.stackexchange.com/questions/5043917/sum-of-reciprocals-of-rising-factorials
feedurl: https://math.stackexchange.com/feeds
content:
            <h3>Context</h3>
<p>I was doing some calculations and encounter the problem of evaluating the following two sums :</p>
<p><span class="math-container">$$S_2=\sum_{t=1}^{n}\frac{1}{t(t+2)\cdots(t+2k)}$$</span></p>
<p><span class="math-container">$$S_1=\sum_{t=1}^{n}\frac{1}{t(t+1)\cdots(t+k-1)}=\sum_{t=1}^{n}\frac{1}{t^{(k)}}$$</span></p>
<hr />
<h2>My attempt</h2>
<p>The last one being the sum of reciprocals of rising factorials, I also know that the last can be seen as a generalization of the known sum <span class="math-container">$$\sum_{t=1}^{n}\frac{1}{t(t+1)}$$</span>
After searching in the internet I can't find an answer, I tried the first two sums for special values <span class="math-container">$k=1, 2$</span> to find a pattern, but no avail.</p>
<hr />
<h2>Question</h2>
<p>Is there a closed formula to represent this type of sum?</p>

        


guid: https://math.stackexchange.com/q/5044001
title: Why Must a Translation-Invariant, Finitely Additive Function Be the Lebesgue Measure?
author: j.primus
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5044001/why-must-a-translation-invariant-finitely-additive-function-be-the-lebesgue-mea

content:
            <p><strong>Problem</strong>. Let <span class="math-container">$ \nu: \mathcal{I}_{\mathbb{R}} \to [0, \infty) $</span> with <span class="math-container">$ \mathcal{I}_{\mathbb{R}} = \{(a,b] : a \leq b \in \mathbb{R}\} $</span>, be a function satisfying the following properties:</p>
<p>(i) <span class="math-container">$ \nu((0,1]) = 1 $</span></p>
<p>(ii) For every <span class="math-container">$ n \in \mathbb{N} $</span> and pairwise disjoint sets <span class="math-container">$ A_1, \dots, A_n \in \mathcal{I}_{\mathbb{R}} $</span> with <span class="math-container">$ \bigcup_{i=1}^{n} A_i \in \mathcal{I}_{\mathbb{R}} $</span>, we have:
<span class="math-container">$
   \nu\left(\bigcup_{i=1}^{n} A_i\right) = \sum_{i=1}^{n} \nu(A_i)
   $</span></p>
<p>(iii) <span class="math-container">$ \nu(A + x) = \nu(A) \quad \text{for all } A \in \mathcal{I}_{\mathbb{R}}, \quad x \in \mathbb{R} $</span></p>
<p>Prove that <span class="math-container">$ \nu $</span> coincides with the Lebesgue measure <span class="math-container">$ \lambda $</span>, i.e., <span class="math-container">$ \nu = \lambda $</span>.</p>
<p>The function <span class="math-container">$ \lambda: \mathcal{I}_{\mathbb{R}} \to [0, \infty) $</span> is the Lebesgue measure, defined by:
<span class="math-container">$
\lambda((a,b]) = b-a, \quad \text{for } a \leq b.
$</span></p>
<p><strong>Attempt</strong>: For the case that <span class="math-container">$ (b-a) \in \mathbb{Q} $</span>,  I have an Ansatz. If <span class="math-container">$ (b-a) $</span> is rational then there exist <span class="math-container">$ p \in \mathbb{Z}$</span> and <span class="math-container">$q \in \mathbb{N}$</span> such that <span class="math-container">$(b-a) = \frac{p}{q} $</span>.
<span class="math-container">$$ v((a,b]) = v((0,b-a]) = v((0,\frac{p}{q}]) $$</span>
<span class="math-container">$$ v((0,\frac{p}{q}]) = v( \bigcup_{k=0}^{p-1} (\frac{k}{q},\frac{k+1}{q}]) =  p \cdot v((0,\frac{1}{q}])$$</span>
And because
<span class="math-container">$$ 1 = v((0,1]) = v( \bigcup_{i=0}^{q-1} (\frac{i}{1},\frac{i+1}{q}] )= q\cdot v((0,\frac{1}{q}])$$</span>
It follows that
<span class="math-container">$$ v((0,\frac{p}{q}]) = \frac{p}{q} - 0 $$</span>
But I have problems generalizing it to all real intervals.</p>

        


guid: https://math.stackexchange.com/q/5044181
title: Find local (global) maxima of $f(x)=2x\sqrt{4r^2-x^2}-x^2$ where $r>0$ and $x\in [0,2r]$
author: BridgeTYH
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5044181/find-local-global-maxima-of-fx-2x-sqrt4r2-x2-x2-where-r0-and-x-in

content:
            <p>I would like to find the maxima of
<span class="math-container">$$
f(x)=2x\sqrt{4r^2-x^2}-x^2
$$</span>
where <span class="math-container">$r&gt;0$</span> and <span class="math-container">$x\in [0,2r]$</span>.</p>
<p>To this end, I computed the first two derivatives:</p>
<p><span class="math-container">$$
f'(x)=\frac{-2x\sqrt{4r^2-x^2}+8r^2-4x^2}{\sqrt{4r^2-x^2}},
$$</span>
<span class="math-container">$$
f''(x)=-2-\frac{6x}{\sqrt{4r^2-x^2}}-\frac{2x^3}{(4r^2-x^2)^{3/2}}.
$$</span></p>
<p>Now, setting <span class="math-container">$f'(x)=0$</span>, what I get is
<span class="math-container">$$
\begin{align*}
f'(x)=0&amp;\Leftrightarrow -2x\sqrt{4r^2-x^2}+8r^2-4x^2=0\\
&amp;\Leftrightarrow \sqrt{4r^2-x^2}=\frac{4r^2}{x}-2x\\
&amp;\Leftrightarrow 4r^2-x^2=\frac{16r^4}{x^2}+4x^2-16r^2\\
&amp;\Leftrightarrow 4r^2x^2-x^4=16r^4+4x^4-16r^2x^2\\
&amp;\Leftrightarrow x^4-4r^2x^2+\frac{16}{5}r^4=0
\end{align*}
$$</span></p>
<p>Substituting <span class="math-container">$z=x^2$</span>, I therefore get the quadratic equation
<span class="math-container">$$
z^2-4r^2z+\frac{16}{5}r^4=0
$$</span>
which has the solutions
<span class="math-container">$$
z_1=(2+\frac{2}{\sqrt{5}})r^2,\qquad z_2=(2-\frac{2}{\sqrt{5}})r^2
$$</span>
Resubstituting, I therefore get the solutions
<span class="math-container">$$
x_1=\sqrt{2+\frac{2}{\sqrt{5}}}r,\quad x_2=-\sqrt{2+\frac{2}{\sqrt{5}}}r
$$</span>
as well as
<span class="math-container">$$
x_3=\sqrt{2-\frac{2}{\sqrt{5}}}r,\quad x_4=-\sqrt{2-\frac{2}{\sqrt{5}}}r.
$$</span>
Since <span class="math-container">$x&gt;0$</span>, only <span class="math-container">$x_1$</span> and <span class="math-container">$x_3$</span> make sense.</p>
<p>Now <span class="math-container">$f''(x_1)&lt;0$</span> and <span class="math-container">$f''(x_3)&lt;0$</span> so both are local maxima.</p>
<p>But the solution tells that <span class="math-container">$x_3$</span> is the (global) maximum. So I must have made a mistake which gives me <span class="math-container">$x_1$</span> as another maximum.</p>
<p>However, I do not see where I made a mistake.</p>
<p>Do you see my mistake?</p>

        


guid: https://math.stackexchange.com/q/5044191
title: None of cubic roots are real
author: mocquin
url: https://math.stackexchange.com/questions/5044191/none-of-cubic-roots-are-real
feedurl: https://math.stackexchange.com/feeds
content:
            <p><strong>Context</strong><br />
I am reading <a href="https://www.sciencedirect.com/science/article/abs/pii/S0168900209022918" rel="nofollow noreferrer">Conway 2010: Analytical solution for the solid angle subtended at any point by an ellipse via a point source radiation vector potential</a>, and trying to implement the general solution of the solid angle subtended at any point by an ellipse.</p>
<p><strong>General problem</strong><br />
In the paper, the general solution, <span class="math-container">$\Omega$</span> as a function of <span class="math-container">$(a,b,p,q,h)$</span> which are real (space coordinates, and assume non-zeros), is described in section <strong>3.4 The general soluition for the solid angle subtended by an ellipse</strong>. The overall solution requires many steps and equations, which I tried to reproduce with python code. It provides the mathematical derivation, as well as a tabulated set of numerical applications in <strong>Table4</strong> (see below).</p>
<p>My problem is that I get all complex root solution of a cubic equation, where the author does not mention how to deal with since those solutions represent the arctan of a geometric angle.</p>
<p><strong>Pinpoint on the problem in math/numerical terms</strong><br />
More precisely, here's where the problem:</p>
<p>At some point, a cubic equation is defined as : (eq. 140)
<span class="math-container">$$w^3 - \left( \frac{A}{B}+\frac{B}{D}+\frac{C^2}{BD} \right)w^2 + \left(\frac{A}{D}-1\right)w + \frac{B}{D}=0 \tag{140}$$</span>
then using:
<span class="math-container">$$a_1 = -\left( \frac{A}{B}+\frac{B}{D}+\frac{C^2}{BD} \right) \tag{141}$$</span>
<span class="math-container">$$b_1 =  \left(\frac{A}{D}-1\right) \tag{142}$$</span>
<span class="math-container">$$c_1 = \frac{B}{D} \tag{143}$$</span>
so with <span class="math-container">$(a=1, b=a_1, c=b_1, d=c_1)$</span> in canonical notations for cubic equations coeffients <span class="math-container">$az^3+bz^2+cz+d=0$</span>.</p>
<p>Additionnaly we have <span class="math-container">$A, B,C,D$</span> from the geometric paremeters (assuming <span class="math-container">$a,b,p,q,h\ne 0$</span>):
<span class="math-container">$$A=\frac{p^2}{a^2h^2}+\frac{q^2}{b^2h^2}-\frac{1}{a^2}-\frac{1}{h^2} \tag{128}$$</span>
<span class="math-container">$$B = \frac{ph}{a^2h^2}\tag{129}$$</span>
<span class="math-container">$$C = \frac{qh}{b^2h^2}\tag{130}$$</span>
<span class="math-container">$$D=\frac{1}{a^2}-\frac{1}{b^2}\tag{131}$$</span></p>
<p>In terms of coefficients, since the geometric inputs (a,b,p,q,h) are real, so are A, B, C, D, hence so are <span class="math-container">$a_1,b_1,c_1$</span> - so the canonical cubic coefficients are real.</p>
<p>Then the author states that &quot;the three roots w1;w2 and w3 of Eq.(140)are given by the
analytical formulas for the roots of a cubic&quot;:</p>
<p><span class="math-container">$$
w_1 = -\frac{a_1}{3} - \frac{1}{3}              \sqrt[3]{ \frac{2a_1^3 - 9a_1b_1 + 27c_1 + \sqrt{(2a_1^3 - 9a_1b_1 + 27c_1)^2 - 4(a_1^2 - 3b_1)^3}}{2} - \frac{1}{3} \sqrt[3]{\frac{2a_1^3 - 9a_1b_1 + 27c_1 - \sqrt{(2a_1^3 - 9a_1b_1 + 27c_1)^2 - 4(a_1^2 - 3b_1)^3}}{2}}}
\tag{144}$$</span></p>
<p><span class="math-container">$$
w_2 = -\frac{a_1}{3} + \frac{1 + i\sqrt{3}}{6} \sqrt[3]{\frac{2a_1^3 - 9a_1b_1 + 27c_1 + \sqrt{(2a_1^3 - 9a_1b_1 + 27c_1)^2 - 4(a_1^2 - 3b_1)^3}}{2} + \frac{1 - i\sqrt{3}}{6} \sqrt[3]{\frac{2a_1^3 - 9a_1b_1 + 27c_1 - \sqrt{(2a_1^3 - 9a_1b_1 + 27c_1)^2 - 4(a_1^2 - 3b_1)^3}}{2}}}
\tag{145}$$</span>
<span class="math-container">$$
w_3 = -\frac{a_1}{3} + \frac{1 - i\sqrt{3}}{6} \sqrt[3]{\frac{2a_1^3 - 9a_1b_1 + 27c_1 + \sqrt{(2a_1^3 - 9a_1b_1 + 27c_1)^2 - 4(a_1^2 - 3b_1)^3}}{2} + \frac{1 + i\sqrt{3}}{6} \sqrt[3]{\frac{2a_1^3 - 9a_1b_1 + 27c_1 - \sqrt{(2a_1^3 - 9a_1b_1 + 27c_1)^2 - 4(a_1^2 - 3b_1)^3}}{2}}}
\tag{146}$$</span></p>
<p>From the paper:
<a href="https://i.sstatic.net/Ol5R4LP1.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/Ol5R4LP1.png" alt="Solution equation in the paper" /></a></p>
<p>So these solutions involve cubic roots of some, a priori and most likely, complex numbers.
On the other hand <a href="https://math.stackexchange.com/questions/2052748/can-a-cubic-equation-have-three-complex-roots">from this threahd</a>, I'd assume having at least a real solution.</p>
<p><strong>To be honnest, I wouldn't be surprised about a typo in the latex of the paper in eqs 144/145/146 on the first cubic root boundaries.</strong> I guess I'm missing something....</p>
<h2>Appendix</h2>
<p>This table provides simple numerical set of values for a,b,p,q,h:
<a href="https://i.sstatic.net/6xUjqEBM.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/6xUjqEBM.png" alt="enter image description here" /></a></p>
<p>This python might also help:</p>
<pre><code>import numpy as np

def inspect_ellipse_SA(a, b, p, q, h):
    # from conway2010
   
    # 128/129/130/131
    A = (p**2) / (a**2 * h**2) + (q**2) / (b**2 * h**2) - 1 / (a**2) - 1 / (h**2)
    B = (p * h) / (a**2 * h**2)
    C = (q * h) / (b**2 * h**2)
    D = (1 / a**2) - (1 / b**2)
    
    # 141/142/143
    a1 = -(A/B + B/D + C**2/(B*D))
    b1 = A / D - 1
    c1 = B / D

    # 144/145/146
    w1_term1 = 2*a1**3 - 9*a1*b1 + 27*c1
    x_sqrt = w1_term1**2 - 4 * (a1**2 - 3*b1)**3
    w1_term2 = cmath.sqrt(x_sqrt)
    def complex_cbrt(x): return cmath.exp(cmath.log(x) / 3)
    
    w1       = -a1/3     - 1/3         * complex_cbrt( (w1_term1 + w1_term2) / 2 -       1/3       * complex_cbrt((w1_term1 - w1_term2) / 2))
    w2       = -a1/3 + (1+1J*3**0.5)/6 * complex_cbrt( (w1_term1 + w1_term2) / 2 + (1-1J*3**0.5)/6 * complex_cbrt((w1_term1 - w1_term2) / 2))
    w3       = -a1/3 + (1-1J*3**0.5)/6 * complex_cbrt( (w1_term1 + w1_term2) / 2 + (1+1J*3**0.5)/6 * complex_cbrt((w1_term1 - w1_term2) / 2))

    rec = {
        &quot;a&quot;:a, &quot;b&quot;:b, &quot;p&quot;:p, &quot;q&quot;:q, &quot;h&quot;:h, &quot;A&quot;:A, &quot;B&quot;:B, &quot;C&quot;:C, &quot;D&quot;:D, &quot;a1&quot;:a1, &quot;b1&quot;:b1, &quot;c1&quot;:c1, &quot;x_sqrt&quot;:x_sqrt,
    }
    rec['w1'] = w1
    rec['w2'] = w2
    rec['w3'] = w3
    return rec


# from conway 2010 table 4
# Solid angles O subtended at the origin by ellipses with principal axes a and b and
# centers located at p,q,h
# a (cm) b (cm) p (cm) q (cm) h (cm) O (sr)
data_abpqh_omega = np.array([
    [1.5, 1, 0.6, 0.5,    0, 6.2831853071795864769      ],
    [1.5, 1, 0.6, 0.5,  0.1, 5.4932906446209277122      ],
    [1.5, 1, 0.6, 0.5,  0.5, 3.2004575682159103517      ],
    [1.5, 1, 0.6, 0.5,    1, 1.8543077019913983945      ],
    [1.5, 1, 0.6, 0.5,    2, 0.80522529035019164173     ],
    [1.5, 1, 0.6, 0.5,  2.5, 0.57620521850638711886     ],
    [1.5, 1, 0.6, 0.5, 2.52, 0.56905051465017983904     ],
    [1.5, 1, 0.6, 0.5,    3, 0.42922679506696478875     ],
    [1.5, 1, 0.6, 0.5,    5, 0.17408459617171272161     ],
    [1.5, 1, 0.6, 0.6,   10, 0.046147163505175703748    ],
    [  1, 4,   2, 0.5,  0.1, 0.11042059212037897436     ],
    [  1, 4, 0.5, 0.5,  0.1, 5.7172450623254262547      ],
    [  1, 4, 0.1,   4,  0.1, 1.9969990661232189834      ],
    [  1, 4, 0.1,   4,    1, 0.96155619798765337814     ],
    [  1, 4, 0.1,   4,    4, 0.33227715550742974491     ],
    [  1, 4, 0.1,   4,    5, 0.25896907028601224143     ],
    [  2, 1,   3,   1,    1, 0.26313012291865500013     ],
    [  2, 1,   1, 0.5,    1, 1.9450789477952986160      ],
    [  2, 1,   1,   1,    1, 1.3612686243288493270      ],
    [  2, 1,   5,   1,    1, 0.054751724548600607288    ],
    [  3, 1,   1, 0.5,  0.5, 3.6792112517371843383      ],
    [  5, 1,   1, 0.5,  0.5, 3.9166118886716631580      ],
    [  5, 1,   1, 0.5,    1, 2.6708385001507917941      ],
    [  5, 1,   6, 0.5,    1, 0.26676844059985960308     ],
    [  5, 1,   6, 0.5,    5, 0.20740803044083806185     ],
    [1.1, 1,   1, 0.9,  0.1, 0.38543116408250326716     ],
    [1.1, 1,   1, 0.9,    1, 0.83802965898827849038     ],
    [1.1, 1,   1, 0.9,    2, 0.47442151673824261576     ],
    [1.1, 1,   1, 0.5,    1, 1.1039996683225073445      ],
])

import pandas as pd
records = []
for a, b, p, q, h, omega in data_abpqh_omega:
    # scaling /100 for cm unit, but should't matter as SA is scaled
    records.append(inspect_ellipse_SA(a/100, b/100, p/100, q/100, h/100))
pd.DataFrame.from_records(records)
</code></pre>

        


guid: https://math.stackexchange.com/q/5044204
title: Expansion of $ \sum_{i=1}^n{\sum_{j=1}^n{\left| x_i-x_j \right|}}$ [closed]
author: plonk
url: https://math.stackexchange.com/questions/5044204/expansion-of-sum-i-1n-sum-j-1n-left-x-i-x-j-right
feedurl: https://math.stackexchange.com/feeds
content:
            <blockquote>
<p>Expand <span class="math-container">$$
\sum_{i=1}^n{\sum_{j=1}^n{\left| x_i-x_j \right|}}
$$</span>in terms of <span class="math-container">$x_a$</span> and n.</p>
</blockquote>
<p>It is clear that <span class="math-container">$\sum_{i=1}^n{\sum_{j=1}^n{\left| x_i-x_j \right|}}$</span> is symmetrical. When <span class="math-container">$x_i&gt;x_j, |x_i-x_j|=x_i-x_j$</span></p>
<p>And then I'm not sure how to continue. Please state if there is some formula or such and explain how the coefficients of the <span class="math-container">$x_a$</span>’s arise.</p>

        


guid: https://math.stackexchange.com/q/5044208
title: Correlation between more than 2 Brownian Motions using common decomposition method?
author: coffee-raid
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5044208/correlation-between-more-than-2-brownian-motions-using-common-decomposition-meth

content:
            <p>In this <a href="https://arxiv.org/pdf/1907.03295" rel="nofollow noreferrer">paper</a>, they develop a method to construct 2 correlated Brownian Motions using the &quot;common decomposition&quot; approach.
Basically,</p>
<p>the representation of 2 correlated Brownian Motions <span class="math-container">$\{B_t\}_{t\geq0}$</span> and <span class="math-container">$\{W_t\}_{t\geq0}$</span> with respect to the same filtration <span class="math-container">$\{F_t\}_{t\geq0}$</span> can be given as:</p>
<p><span class="math-container">$$
B_t=X_{T_t} + Y_{S_t} \\
W_t=X_{T_t} - Y_{S_t}
$$</span></p>
<p>where,</p>
<p><span class="math-container">$$
X_{T_t} = \frac{B_t+W_t}{2} \\
Y_{T_t} = \frac{B_t-W_t}{2}
$$</span></p>
<p>So essentially, they create an independent triplet <span class="math-container">$(X,Y,T)$</span> instead of using the more popular local correlation method with <span class="math-container">$\rho$</span>, where</p>
<p><span class="math-container">$$
B_t=B_t \\
W_t= \rho B_t + \sqrt{(1-\rho^2)}\tilde{W_t}
$$</span>
with <span class="math-container">$B_t$</span> and <span class="math-container">$\tilde{W_t}$</span> independent.</p>
<p>Is there a way to extend this to represent correlation between 3 brownian motions <span class="math-container">$B_t$</span>, <span class="math-container">$W_t$</span> and <span class="math-container">$M_t$</span>?
This <a href="https://quant.stackexchange.com/questions/59935/expectation-of-exponential-of-3-correlated-brownian-motion">answer</a> by @StackG mentions how to do it with the <span class="math-container">$\rho$</span> method, but I am having trouble translating that with the triplet approach? Will it become a quadruplet in that case?</p>
<p>I'd appreciate any help with this. Thank you.</p>

        


guid: https://math.stackexchange.com/q/5044248
title: The intuition behind the cover matching step in Arzela Ascoli
author: Anon001
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5044248/the-intuition-behind-the-cover-matching-step-in-arzela-ascoli

content:
            <p>I want to show the following implication :</p>
<blockquote>
<p>Let <span class="math-container">$S \subset \mathbb R^d$</span> compact. Then  the following equivalence holds:</p>
<p><span class="math-container">$A \subset C^0 (S; K^n)$</span>  is totally bounded iff <span class="math-container">$A$</span> is bounded and equi-continuous</p>
</blockquote>
<p>I have problem understanding the reverse direction. The proof I am reading involves finding a finite partition of the domain and codomain by balls and then identifying the pairing of the pieces of these finite partition with a subset of the function space.</p>
<p>I don't understand how this identification would help us to know where to  keep center of ball for a cover by epsilon.</p>
<p>Could some one give explain some intuition for the steps in the proof, and also how this tells us where to keep our balls</p>

        


guid: https://math.stackexchange.com/q/5044281
title: Error of Adaptive Runge-Kutta Method for a discontinuous function collapses to zero [closed]
author: meCoder
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5044281/error-of-adaptive-runge-kutta-method-for-a-discontinuous-function-collapses-to-z

content:
            <p>I am trying to simulate the response a LR circuit with square wave input using Runge-Kutta-Fehlberg method. And for some reason, the truncation error becomes zero right before the discontinuity jump in the square wave and my <span class="math-container">$h_{new}$</span> gives division by zero error.</p>
<p>I tried it with other methods like Dormand-Prince method and it still does the same. Does anyone know why the error becomes zero? Is it inherent to the numerical method? Or did I mess up somewhere?</p>
<p>This is my function</p>
<p><span class="math-container">$$
\frac{dy}{dt}=f(t, y) = \frac{L(v(t)-y)}{R}
$$</span></p>
<p>where <span class="math-container">$y$</span> is the voltage across the resistor and <span class="math-container">$v(t)$</span> is the input square wave of frequency 1. <span class="math-container">$L$</span> and <span class="math-container">$R$</span> are values of inductance and resistance, respectively.</p>
<p>This is the code I'm using:</p>
<pre><code>import numpy as np

#Function that generates the input voltage with T time period and duty cycle of alp:
def v(t, T, alp):
    d = (t/T) - np.floor(t/T)
    if d&lt;alp:
        return 10
    else: 
        return 0
    # return v

#f(t, y) = dy/dt
def f(t, y):
    L = 1
    R = 1
    T = 1
    alp = 0.5
    V = v(t, T, alp)
    return L*(V-y)/R

#The Adaptive RK method (RK4(5)) used here,

def rk45_():
    epsilon = 0.00001
    h = 0.2
    t = 0
    w = 0
    i = 0

    while t&lt;10:
        h = min(h, 10-t)
        
        k1 = h * f(t, w)
        k2 = h * f(t + h/4, w + k1/4)
        k3 = h * f(t + 3*h/8, w + 3*k1/32 + 9*k2/32)
        k4 = h * f(t + 12*h/13, w + 1932*k1/2197 - 7200*k2/2197 + 7296*k3/2197)
        k5 = h * f(t + h, w + 439*k1/216 - 8*k2 + 3680*k3/513 - 845*k4/4104)
        k6 = h * f(t + h/2, w - 8*k1/27 + 2*k2 - 3544*k3/2565 + 1859*k4/4104 - 11*k5/40)

        w1 = w + 25*k1/216 + 1408*k3/2565 + 2197*k4/4104 - k5/5
        w2 = w + 16*k1/135 + 6656*k3/12825 + 28561*k4/56430 - 9*k5/50 + 2*k6/55
        R = abs(w1-w2)/h
        delta = 0.9 * (epsilon/R)**(1/4)
        if R&lt;=epsilon:
            t = t+h
            w = w1
            i = i+1

            print(w)
            h = delta*h
        else:
            h = delta*h

#Function call to print out the values
rk45_()
</code></pre>

        


guid: https://math.stackexchange.com/q/5044333
title: How do I count for symmetries systematically?
author: BornToSurf
url: https://math.stackexchange.com/questions/5044333/how-do-i-count-for-symmetries-systematically
feedurl: https://math.stackexchange.com/feeds
content:
            <p>In school, I was taught that if we wanted to count the number of ways to seat <span class="math-container">$n$</span> people in a circle (with the seats unlabelled!), there were <span class="math-container">$(n - 1)!$</span> ways of doing this. Working this out for some small cases, I managed to convince myself of this fact. If someone put a gun to my head, I could have probably came up with the argument that the position of the first person does not affect the positions of the rest of the people.</p>
<p>In university, I was just told that we have <span class="math-container">$\frac{n!}{n}$</span> ways to count them where the division by <span class="math-container">$n$</span> is to account for the &quot;symmetries&quot;, this got me thinking. I can't for the life of me precisely figure out what symmetry is at play here. If we have <span class="math-container">$n$</span> people sitting around in a circle, we can view them as the vertices of an <span class="math-container">$n$</span>-sided polygon I guess. The symmetries of the polygon are captured by the dihedral group <span class="math-container">$D_{2n}$</span> (or <span class="math-container">$D_n$</span> if you prefer), but I can't see how one goes from this to the above formula.</p>
<p>Recently, in an <a href="https://math.stackexchange.com/questions/5043721/the-m%C3%A9nage-problem-in-combinatorics">earlier post</a> where I attempted to investigate the Ménage problem, I came across the case where I needed to count the number of ways to place <span class="math-container">$n$</span> men in a round table where <span class="math-container">$n$</span> women are already seated with one seat apart such that exactly <span class="math-container">$k$</span> men are paired with their wives.</p>
<p>There again, I saw the formula <span class="math-container">$2n - k  \choose k$</span> being multiplied by the factor <span class="math-container">$\frac{2n}{2n - k}$</span> supposedly to account for the rotational symmetries, but again, I have no idea how to systematically count these.</p>
<p>If there was a nice way to go from a group capturing symmetries to counting permutations, it would be helpful for me to count confidently and correctly, but I am not sure what this path is.</p>

        


guid: https://math.stackexchange.com/q/5044337
title: Are There any "Perfect Constants" with More Than 1 Unit?
author: spydragon
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5044337/are-there-any-perfect-constants-with-more-than-1-unit

content:
            <p>I have no background in writing mathematical definitions so please bare with me<br>
<br>
defining a &quot;perfect constant&quot; as a numerical value which can represent anything that does not change when it's units are changed.<br>
a one unit example would be <span class="math-container">$\pi$</span>, it doesn't matter if your unit is one meter or one centimeter (as long as you measure the circumference and radius with the same unit) when measured on a circle, you will get <span class="math-container">$3.14$</span> (or a base equivalent).<br>
<br>
but is there such a constant that has two units, lets say distance and time, where changing either of the units doesn't change the answer (a trivial answer is to divide one number of the same units, by itself, like <span class="math-container">$\frac{2m}{2m}*s$</span> or even worse to divide by a single unit to get a dimensionless number with no meaning).<br>
<br>
other than trivial solutions, I cannot see how such a thing could be possible, but math has been proven to go against such intuition at times.</p>

        


guid: https://math.stackexchange.com/q/5044378
title: Type of constraint of optimization problem and how to handle it
author: Drollex
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5044378/type-of-constraint-of-optimization-problem-and-how-to-handle-it

content:
            <p>for a personal project I'm working on I have to repeatedly solve a specific kind of optimization problem which I initially thought was convex. However there is one constraint which I don't know how to handle. For given <span class="math-container">$c \in \mathbb{R}^n$</span> and <span class="math-container">$A_i \in \mathbb{R}^{n\times2}$</span> the problem reads as <span class="math-container">$$\max_{x \in \mathbb{R}^n} \ c^Tx \\ s.t. \ x=\sum_{i=1}^{m}A_it_i \\ t_i \in T_i \\ x \geq 0$$</span></p>
<p>The sets <span class="math-container">$T_i \subset \mathbb{R}^2$</span> are given aswell. They are convex, more so the boundary can be described by piecewise affine functions and they always have the origin on the boundary. I included a <a href="https://i.sstatic.net/tCmPB8Fy.png" rel="nofollow noreferrer">sketch</a> of them.</p>
<p>Alternatively you can omit the last constraint and use the convex objective function <span class="math-container">$f(x) = c^Tx - \chi_{\mathbb{R}^n_{\geq0}}(x)$</span> where <span class="math-container">$\chi$</span> is the <a href="https://en.wikipedia.org/wiki/Characteristic_function_(convex_analysis)" rel="nofollow noreferrer">characteristic function</a>. The first constraint is the one where I'm not sure what to do about it.</p>
<p>It would already be helpful if someone had some keywords to look for or could point me to related resources as I don't even know where I would look besides maybe books about general convex optimization.</p>
<p>Edit: with first constraint I mean <span class="math-container">$ x=\sum_{i=1}^{m}A_it_i$</span>.</p>

        


guid: https://math.stackexchange.com/q/5044382
title: Show that $\frac{\phi(x-t)-\phi(x+t)}{\Phi(x+t)-\Phi(x-t)}$ is increasing in $t$.
author: keepfrog
feedurl: https://math.stackexchange.com/feeds
url:
https://math.stackexchange.com/questions/5044382/show-that-frac-phix-t-phixt-phixt-phix-t-is-increasing-in-t

content:
            <p>Define a function <span class="math-container">$g:(0,\infty)^2 \to [0,\infty)$</span> by
<span class="math-container">$$
g(x, t):= \frac{\phi(x-t)-\phi(x+t)}{\Phi(x+t)-\Phi(x-t)}, 
$$</span>
where <span class="math-container">$\phi$</span> and <span class="math-container">$\Phi$</span> denote the probability density function and cumulative distribution function of the standard normal distribution, respectively.</p>
<p>I would like to show that <span class="math-container">$g$</span> is monotonically decreasing in <span class="math-container">$t$</span> for all <span class="math-container">$x&gt;0$</span>. Notice that <span class="math-container">$g(x,t)=\mathbb{E}[Z\mid Z\in [x-t,x+t]]$</span>, where <span class="math-container">$Z$</span> is a standard normal random variable. Using the log-concavity of the function <span class="math-container">$x\mapsto \Phi(x+t)-\Phi(x-t)$</span>, it is not difficult to show that <span class="math-container">$g$</span> is monotonically increasing in <span class="math-container">$x$</span> for all <span class="math-container">$t&gt;0$</span>.
However, showing that <span class="math-container">$g_t&lt;0$</span> turned out to be more challenging.</p>
<p>My attempt so far: Differentiating and using <span class="math-container">$\phi'(u)=-u\phi(u)$</span>, we have
<span class="math-container">$$
\left(\Phi(x+t)-\Phi(x-t)\right)g_t(x,t)=-\left[\left(g(x,t)-(x-t)\right)\phi(x-t)+\left(g(x,t)-(x+t)\right)\phi(x+t)\right].
$$</span>
Thus, it suffices to show that term in bracketsis positive, i.e,.
<span class="math-container">$$
(g(x,t) - (x-t))\phi(x-t) &gt; (x+t - g(x,t))\phi(x+t).
$$</span>
I believe (but have not formally proven) that <span class="math-container">$0 &lt; g(x,t) &lt; x$</span>. Hence, <span class="math-container">$x+t-g-(g-(x-t))&gt;0$</span>. However, since  <span class="math-container">$\phi(x-t)&gt; \phi(x+t)$</span>, the inequality remains nontrivial. For example, naively replacing <span class="math-container">$\phi(x-t)$</span> by the smaller <span class="math-container">$\phi(x+t)$</span> makes the left-hand side &quot;too small,&quot; invalidating the inequality.</p>
<p>Any suggestions or alternative approaches to formally establish the monotonicity result would be greatly appreciated.</p>

        


guid: https://math.stackexchange.com/q/5044411
title: Why does uniform continuity imply this inequality?
author: Ypbor
url: https://math.stackexchange.com/questions/5044411/why-does-uniform-continuity-imply-this-inequality
feedurl: https://math.stackexchange.com/feeds
content:
            <p>I am reading the proof of a lemma that is used to prove the minmax theorem.
Let <span class="math-container">$X$</span> and <span class="math-container">$Y$</span> be closed and bounded sets in <span class="math-container">$\mathbb{R}^d$</span>. Let <span class="math-container">$f: X \times Y\rightarrow \mathbb{R}$</span> be continuous. Given <span class="math-container">$X\times Y$</span> is compact, <span class="math-container">$f$</span> is also uniformly continuous, that is, for all <span class="math-container">$\varepsilon&gt;0$</span>, there exists <span class="math-container">$\delta&gt;0$</span> such that <span class="math-container">$|x_1-x_2|\leqslant \delta$</span> implies <span class="math-container">$|f(x_1, y)-f(x_2,y)|\leqslant \varepsilon$</span>, for any <span class="math-container">$y$</span>. I am OK with this part.</p>
<p>Then define <span class="math-container">$g(x)=\min_y f(x,y)$</span>. The proof writes that the above result indicates <span class="math-container">$|g(x_1)-g(x_2)|\leqslant \varepsilon$</span> (so <span class="math-container">$g$</span> is continuous). I was wondering why.</p>
<p>My guess is that to find a <span class="math-container">$y$</span> such that <span class="math-container">$|g(x_1)-g(x_2)|=|\min_y f(x_1,y)-\min_y f(x_2,y)|\leqslant |f(x_1, y)-f(x_2,y)|$</span>. But the <span class="math-container">$y$</span> minimizing <span class="math-container">$f(x_1,y)$</span> does not necessarily minimize <span class="math-container">$f(x_2,y)$</span>.</p>
<p>Why do I get downvotes? I thought &quot;the proof of a lemma that is used to prove the minmax theorem&quot; is the context. What additional things should I provide?</p>

        


