WordofTheHour<p><a href="https://mastodon.social/tags/conjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>conjecture</span></a> : an opinion, or judgment, formed on defective or presumptive evidence</p><p>- French: conjecture</p><p>- German: die Vermutung</p><p>- Italian: congettura</p><p>- Portuguese: conjetura</p><p>- Spanish: conjetura</p><p>------------</p><p>Report an incorrect translation @ <a href="https://wordofthehour.org/r/translations" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">wordofthehour.org/r/translatio</span><span class="invisible">ns</span></a></p>
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#conjecture
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Hacker News<p>Undergraduate Disproves 40-Year-Old Conjecture, Invents New Kind of Hash Table</p><p><a href="https://www.wired.com/story/undergraduate-upends-a-40-year-old-data-science-conjecture/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">wired.com/story/undergraduate-</span><span class="invisible">upends-a-40-year-old-data-science-conjecture/</span></a></p><p><a href="https://mastodon.social/tags/HackerNews" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HackerNews</span></a> <a href="https://mastodon.social/tags/Undergraduate" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Undergraduate</span></a> <a href="https://mastodon.social/tags/Innovation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Innovation</span></a> <a href="https://mastodon.social/tags/HashTable" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HashTable</span></a> <a href="https://mastodon.social/tags/DataScience" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>DataScience</span></a> <a href="https://mastodon.social/tags/Conjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Conjecture</span></a> <a href="https://mastodon.social/tags/Breakthrough" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Breakthrough</span></a></p>
Steven Carneiro<p>Interesting story:<br><a href="https://social.vivaldi.net/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathematics</span></a> <a href="https://social.vivaldi.net/tags/conjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>conjecture</span></a> <a href="https://social.vivaldi.net/tags/problemsolving" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>problemsolving</span></a> <a href="https://social.vivaldi.net/tags/research" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>research</span></a> <a href="https://social.vivaldi.net/tags/science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>science</span></a><br>🧐 </p><p><a href="https://www.quantamagazine.org/after-20-years-math-couple-solves-major-group-theory-problem-20250219/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">quantamagazine.org/after-20-ye</span><span class="invisible">ars-math-couple-solves-major-group-theory-problem-20250219/</span></a></p>
Pustam | पुस्तम | পুস্তম🇳🇵<p>33-year-old mathematician Wang Hong from the Courant Institute of Mathematical Sciences (CIMS-NYU) has proved the century-old Kakeya conjecture in three dimensions with collaborator Joshua Zahl!</p><p>The problem is rooted in the question: what's the smallest area that an infinitely thin needle can sweep out if it has to be turned to point in every possible direction?</p><p>News:<br>[1] <a href="https://www.scmp.com/news/china/science/article/3300958/chinese-maths-star-wang-hong-solves-infamous-geometry-problem" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">scmp.com/news/china/science/ar</span><span class="invisible">ticle/3300958/chinese-maths-star-wang-hong-solves-infamous-geometry-problem</span></a><br>[2] <a href="https://english.jagran.com/world/chinese-student-wang-hong-cracked-an-impossible-geometry-puzzle-that-stumped-mathematicians-for-over-a-century-10221886" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">english.jagran.com/world/chine</span><span class="invisible">se-student-wang-hong-cracked-an-impossible-geometry-puzzle-that-stumped-mathematicians-for-over-a-century-10221886</span></a></p><p>2023 piece from Quanta Magazine on their earlier progress on the problem:<br><a href="https://www.quantamagazine.org/new-proof-threads-the-needle-on-a-sticky-geometry-problem-20230711/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">quantamagazine.org/new-proof-t</span><span class="invisible">hreads-the-needle-on-a-sticky-geometry-problem-20230711/</span></a></p><p><span class="h-card" translate="no"><a href="https://mathstodon.xyz/@tao" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>tao</span></a></span> <br><a href="https://mathstodon.xyz/tags/WangHong" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>WangHong</span></a> <a href="https://mathstodon.xyz/tags/CIMS" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CIMS</span></a> <a href="https://mathstodon.xyz/tags/NYU" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>NYU</span></a> <a href="https://mathstodon.xyz/tags/JoshuaZahl" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JoshuaZahl</span></a> <a href="https://mathstodon.xyz/tags/Kakeya" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Kakeya</span></a> <a href="https://mathstodon.xyz/tags/KakeyaConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>KakeyaConjecture</span></a> <a href="https://mathstodon.xyz/tags/ThreeDimensions" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ThreeDimensions</span></a> <a href="https://mathstodon.xyz/tags/Needle" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Needle</span></a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Geometry</span></a> <a href="https://mathstodon.xyz/tags/QuantaMagazine" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>QuantaMagazine</span></a> <a href="https://mathstodon.xyz/tags/Conjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Conjecture</span></a> <a href="https://mathstodon.xyz/tags/AdvancingMaths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>AdvancingMaths</span></a> <a href="https://mathstodon.xyz/tags/Maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Maths</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/CenturyOld" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CenturyOld</span></a> <a href="https://mathstodon.xyz/tags/Tao" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Tao</span></a> <a href="https://mathstodon.xyz/tags/TerenceTao" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TerenceTao</span></a></p>
claude<p>I made a small page about my <a href="https://post.lurk.org/tags/conjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>conjecture</span></a> on iteration count vs distance estimate bounds in the <a href="https://post.lurk.org/tags/MandelbrotSet" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MandelbrotSet</span></a> </p><p><a href="https://mathr.co.uk/web/m-iteration-count-vs-distance-estimate.html" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">mathr.co.uk/web/m-iteration-co</span><span class="invisible">unt-vs-distance-estimate.html</span></a></p>
Jim Donegan 🎵 ✅<p><a href="https://mastodon.scot/tags/Poincare" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Poincare</span></a> on <a href="https://mastodon.scot/tags/Intuition" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Intuition</span></a> in <a href="https://mastodon.scot/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> </p><p>Very interesting paper by Henri Poincaré on 'Intuition and Logic in Mathematics' from 1905.</p><p>In this piece he presents intuition not just as a psychological trait, but as a critical component of mathematical creativity and innovation.</p><p><a href="https://mathshistory.st-andrews.ac.uk/Extras/Poincare_Intuition/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">mathshistory.st-andrews.ac.uk/</span><span class="invisible">Extras/Poincare_Intuition/</span></a> </p><p><a href="https://mastodon.scot/tags/Math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Math</span></a> <a href="https://mastodon.scot/tags/Maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Maths</span></a> <a href="https://mastodon.scot/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mastodon.scot/tags/Conjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Conjecture</span></a> <a href="https://mastodon.scot/tags/Thinking" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Thinking</span></a> <a href="https://mastodon.scot/tags/Psychology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Psychology</span></a> <a href="https://mastodon.scot/tags/Creativity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Creativity</span></a> <a href="https://mastodon.scot/tags/Innovation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Innovation</span></a> <a href="https://mastodon.scot/tags/HenriPoincar%C3%A9" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HenriPoincaré</span></a> <a href="https://mastodon.scot/tags/HenriPoincare" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HenriPoincare</span></a></p>
Knowledge Zone<p>Are We Only 33 Years Away from the <a href="https://mstdn.social/tags/Atlantic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Atlantic</span></a> <a href="https://mstdn.social/tags/Ocean" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Ocean</span></a>’s <a href="https://mstdn.social/tags/Tipping" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Tipping</span></a> Point? : Medium</p><p><a href="https://mstdn.social/tags/Mathematicians" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematicians</span></a> Just Debunked the ‘<a href="https://mstdn.social/tags/Bunkbed" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Bunkbed</span></a> <a href="https://mstdn.social/tags/Conjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Conjecture</span></a>’ : WIRED</p><p>Seven quiet <a href="https://mstdn.social/tags/Breakthroughs" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Breakthroughs</span></a> for <a href="https://mstdn.social/tags/Climate" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Climate</span></a> and <a href="https://mstdn.social/tags/Nature" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Nature</span></a> in #2024 you might have missed : BBC</p><p>Check our latest <a href="https://mstdn.social/tags/KnowledgeLinks" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>KnowledgeLinks</span></a></p><p><a href="https://knowledgezone.co.in/resources/bookmarks" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">knowledgezone.co.in/resources/</span><span class="invisible">bookmarks</span></a></p>
Colin the Mathmo<p>Fermat conjectured that for \(n\) a non-negative integer, all numbers of the form \(2^{2^n}+1\) are prime.</p><p>Was there ever a worse conjecture in maths than that?</p><p><a href="https://mathstodon.xyz/tags/Maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Maths</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Math</span></a> <br><a href="https://mathstodon.xyz/tags/MathsEd" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathsEd</span></a> <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathEd</span></a> <br><a href="https://mathstodon.xyz/tags/MathsChat" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathsChat</span></a> <a href="https://mathstodon.xyz/tags/MathChat" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathChat</span></a> <br><a href="https://mathstodon.xyz/tags/Fermat" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fermat</span></a> <a href="https://mathstodon.xyz/tags/Conjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Conjecture</span></a> <br><a href="https://mathstodon.xyz/tags/Primes" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Primes</span></a> <a href="https://mathstodon.xyz/tags/FermatPrimes" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FermatPrimes</span></a></p>
Knowledge Zone<p><a href="https://mstdn.social/tags/DidYouKnow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>DidYouKnow</span></a>: Catalan's <a href="https://mstdn.social/tags/Conjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Conjecture</span></a> (or Mihăilescu's theorem) is a theorem in <a href="https://mstdn.social/tags/Number" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Number</span></a> <a href="https://mstdn.social/tags/Theory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Theory</span></a> that was conjectured by the mathematician Eugène Charles Catalan in 1844.</p><p>It says that the difference between two perfect powers (where we ignore 0 and 1) is always more than 1, unless these powers are equal to 8 = 2^3 and 9 = 3^2.</p><p><a href="https://knowledgezone.co.in/kbits/64c604b4a816d7eeec176596" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">knowledgezone.co.in/kbits/64c6</span><span class="invisible">04b4a816d7eeec176596</span></a></p>
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