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Rémi EismannOne day, one decomposition A235034: Numbers whose prime divisors, when multiplied together without carry-bits (as encodings of GF(2)[X]-polynomials, with A048720), produce the original number; numbers for which A234741(n) = n3D graph, threejs - webGL ➡️ <a href="https://decompwlj.com/3Dgraph/A235034.html" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://decompwlj.com/3Dgraph/A235034.html</a> 2D graph, first 500 terms ➡️ <a href="https://decompwlj.com/2Dgraph500terms/A235034.html" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://decompwlj.com/2Dgraph500terms/A235034.html</a><a href="https://mathstodon.xyz/tags/decompwlj" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#decompwlj</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://mathstodon.xyz/tags/sequence" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#sequence</a> <a href="https://mathstodon.xyz/tags/OEIS" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#OEIS</a> <a href="https://mathstodon.xyz/tags/javascript" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#javascript</a> <a href="https://mathstodon.xyz/tags/php" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#php</a> <a href="https://mathstodon.xyz/tags/3D" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3D</a> <a href="https://mathstodon.xyz/tags/numbers" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#numbers</a> <a href="https://mathstodon.xyz/tags/prime" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#prime</a> <a href="https://mathstodon.xyz/tags/divisors" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#divisors</a> <a href="https://mathstodon.xyz/tags/polynomials" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#polynomials</a> <a href="https://mathstodon.xyz/tags/graph" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#graph</a> <a href="https://mathstodon.xyz/tags/threejs" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#threejs</a> <a href="https://mathstodon.xyz/tags/webGL" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#webGL</a>

Gnome KatIf functions can be represented as vectors and you can do the dot product between them...What happens if you try to use the wedge product between two functions?This question just popped into my brain <a href="https://tech.lgbt/tags/geometricalgebra" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometricalgebra</a> <a href="https://tech.lgbt/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a>

FaintdreamsAssistance request + Mah brain math is broken.If I have a pdf that printed at 100% gives an output of 1/3 size - how much do I have to reduce the percentage to print the same thing at 1/4 size? Thankyou in advance. [No jokes ta, this is a real math question that is causing me headaches .. ]<a href="https://dice.camp/tags/Dyscalculia" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Dyscalculia</a> <a href="https://dice.camp/tags/Math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Math</a> <a href="https://dice.camp/tags/Fractions" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Fractions</a> <a href="https://dice.camp/tags/Percentage" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Percentage</a>

Paysages MathématiquesSource : Quanta Magazine / Leila Sloman<a href="https://www.quantamagazine.org/new-proof-settles-decades-old-bet-about-connected-networks-20250418/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://www.quantamagazine.org/new-proof-settles-decades-old-bet-about-connected-networks-20250418/</a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#maths</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a>

Paysages MathématiquesSource : Youtube / Michael Penn<a href="https://www.youtube.com/watch?v=DzbVPtgCg0E" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://www.youtube.com/watch?v=DzbVPtgCg0E</a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#maths</a> <a href="https://mathstodon.xyz/tags/Youtube" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Youtube</a>

Paysages MathématiquesDe l’axiome des parallèles au GPS Source : Images des mathématiques / Jean-François Colonna<a href="https://images.math.cnrs.fr/billets/de-laxiome-des-paralleles-au-gps/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://images.math.cnrs.fr/billets/de-laxiome-des-paralleles-au-gps/</a> <a href="https://mathstodon.xyz/tags/math%C3%A9matiques" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathématiques</a> <a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#maths</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/physique" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#physique</a>

Alan LewisTRUMP'S DEPARTMENT OF EDUCATION IS GOING TO PUT A STOP TO THIS Mastodon Post: <a href="https://c.im/tags/democrats" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#democrats</a> <a href="https://c.im/tags/departmentofeducation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#departmentofeducation</a> <a href="https://c.im/tags/education" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#education</a> <a href="https://c.im/tags/educationdepartment" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#educationdepartment</a> <a href="https://c.im/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://c.im/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://c.im/tags/uspol" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#uspol</a> <a href="https://c.im/tags/uspolitics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#uspolitics</a> :

Paysages MathématiquesTheorem of the Day (April 19, 2025) : Wedderburn’s Little Theorem Source : Theorem of the Day / Robin Whitty pdf : <a href="https://www.theoremoftheday.org/Algebra/WedderburnLittle/TotDWedderburnLittle.pdf" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://www.theoremoftheday.org/Algebra/WedderburnLittle/TotDWedderburnLittle.pdf</a> notes : <a href="https://www.theoremoftheday.org/Resources/TheoremNotes.htm#215" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://www.theoremoftheday.org/Resources/TheoremNotes.htm#215</a><a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#maths</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/theorem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#theorem</a> <a href="https://mathstodon.xyz/@Theoremoftheday" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@Theoremoftheday</a>

José A. AlonsoListing prime numbers periodically. ~ Han-Lin Li, Shu-Cherng Fang, Way Kuo, Nianrui Lin. <a href="https://www.scirp.org/journal/paperinformation?paperid=141958" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://www.scirp.org/journal/paperinformation?paperid=141958</a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Math</a> <a href="https://mathstodon.xyz/tags/Algorithms" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Algorithms</a>

Emilia Jarochowska 🇺🇦🌱📢 The skies are falling! You might have realized by now that we are in the middle of an apocalypse, but you probably haven't identified its cause correctly. It is the decline of <a href="https://circumstances.run/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://circumstances.run/tags/education" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#education</a> that has put the human culture in peril 🛸 🚨 <a href="https://link.springer.com/article/10.1134/S1064562423700643" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://link.springer.com/article/10.1134/S1064562423700643</a>I stumbled upon this article while researching how to write about <a href="https://circumstances.run/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> for non-mathematicians. Did it help? No. Was it a good giggle? Absolutely 😁 <a href="https://circumstances.run/tags/apocalypse" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#apocalypse</a> <a href="https://circumstances.run/tags/WeAreDoomed" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#WeAreDoomed</a> <a href="https://circumstances.run/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://circumstances.run/tags/literacy" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#literacy</a>

LobstersEfficient E-Matching for Super Optimizers via <a href="https://hachyderm.io/@alic" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@alic</a> <a href="https://lobste.rs/s/xsojm5" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://lobste.rs/s/xsojm5</a> <a href="https://mastodon.social/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mastodon.social/tags/performance" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#performance</a> <a href="https://mastodon.social/tags/zig" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#zig</a> <a href="https://blog.vortan.dev/ematching/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://blog.vortan.dev/ematching/</a>

Code of Amor 💘Despite being quite active in math, it is such a vast area of understanding that sometimes it can take a long time before some previously unused or rarely considered aspect of it becomes apparent to you. Here is something seemingly simple that I just deduced and wrote up a proof for. Why? I wanted to understand the reason why Electronic Speed Controller outputs are unmarked. <pre><code>In an infinitely repeated sequence of three, swapping any two of the three positions only reverses the order of the resulting infinite sequence. </code> <code></code> <code>All possible permutations of a simple three digit sequence:</code> <code></code> <code>123</code> <code>213</code> <code>231</code> <code>321</code> <code>312</code> <code>132</code> <code></code> <code>Each permutation repeated three times after itself to demonstrate the effect on the infinite sequence:</code> <code></code> <code>123123123123</code> <code>213213213213</code> <code>231231231231</code> <code>321321321321</code> <code>312312312312</code> <code>132132132132</code> <code></code> <code>Note that if shifted by suitable offset, which is obviously ignored in an infinite sequence, there are only two unique sequences, and they are the mirror opposite of each other.</code></pre><a href="https://social.codeofamor.net/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a>

Alan LewisMAGATS HAVE A NEW WORRY Mastodon Post: <a href="https://c.im/tags/democrats" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#democrats</a> <a href="https://c.im/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://c.im/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://c.im/tags/uspol" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#uspol</a> <a href="https://c.im/tags/uspolitics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#uspolitics</a> :

MicrofractalDecagon (fractal version)\(z_{n+1}=fold(z_n)^2+c\)where fold is a generalized absolute value function. A complex number has two components: a real and an imaginary part. If we take the absolute value of one of these parts, we can interpret this as a fold in the complex plane. For example, |re(z)| causes a fold of the complex plane around the imaginary axis, which means that the left half ends up on the right half. If we do this for the imaginary component |im(z)|, we fold the complex plane around the real axis which means that the bottom half ends up on the top half. These two operations are quite similar, because the imaginary fold is just like the real fold of the plane, except that it was previously rotated 90 degrees (z * i). But what if we rotate the plane by an arbitrary number of degrees? An arbitrary rotation of the complex plane can be expressed as rot(z, radians) = z * (cos(radians) + sin(radians) * i), where radians encodes the rotation.The image here is produced, by rotating the plane exactly five times, and folding the imaginary part each time.I found this algorithm in the Fractal Formus under the name “Correction for the Infinite Burning Ship Fractal Algorithm”. It can be seen as a generalization of the burning ship obtained by folding the complex plane twice with a rotation of 90 degrees, i.e. folding both the real and the imaginary part.<a href="https://mathstodon.xyz/tags/fractalfriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#fractalfriday</a> <a href="https://mathstodon.xyz/tags/fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#fractal</a> <a href="https://mathstodon.xyz/tags/burningship" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#burningship</a> <a href="https://mathstodon.xyz/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mandelbrot</a> <a href="https://mathstodon.xyz/tags/complexplane" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#complexplane</a> <a href="https://mathstodon.xyz/tags/complexnumbers" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#complexnumbers</a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/escapetimefractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#escapetimefractals</a>

Jason WeatherlySo, saw a post about a visual proof that the sum of squares is always less than the square of sums and was immediately nerd sniped. The last part of this is kinda the proving point where the sum of a finite number of absolute values is always greater than or equal to zero. The notation is kinda crap, but it wasn't a bad way to spend some time as I'd gotten rusty in not just LaTeX but also math in general. <a href="https://social.linux.pizza/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a>

ProgressivePower<a href="https://newsie.social/tags/socialsecurity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#socialsecurity</a> <a href="https://newsie.social/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a>

Paysages Mathématiques"Dans les sciences expérimentales, les découvertes peuvent devenir possibles ou être facilitées par l'emploi de nouveaux instruments, et dans certains cas il est difficile de séparer les vertus de l'instrument de celles de l'observateur. En mathématiques, comme en musique, le génie peut être contemplé dans un plus grand état de pureté [...]" – George Sarton (1884-1956) <a href="https://mathstodon.xyz/tags/citation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#citation</a> <a href="https://mathstodon.xyz/tags/math%C3%A9matiques" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathématiques</a> <a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#maths</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a>

Paysages Mathématiques"In the experimental sciences, discoveries may become possible or be facilitated by the use of new instruments, and in certain cases it is difficult to separate the virtues of the instrument from those of the observer. In mathematics, as in music, genius can be contemplated in a greater state of purity, and hence the history of mathematics is perhaps more interesting to the psychologist than that of any other science." – George Sarton (1884-1956) <a href="https://mathstodon.xyz/tags/quote" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#quote</a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#maths</a>

Bibliolater 📚 📜 🖋**Codex Vigilanus Primeros Numeros Arabigos**“_The first Arabic/Hindu (Ghobar type) numerals in a Western manuscript, AD 976. From Codex Vigilanus._”<a href="https://qoto.org/tags/Image" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Image</a> attribution: The original uploader was Srnec at English Wikipedia., Public domain, via Wikimedia Commons. Page URL: <a href="https://commons.wikimedia.org/wiki/File:Codex_Vigilanus_Primeros_Numeros_Arabigos.jpg" rel="nofollow noopener noreferrer" target="_blank">https://commons.wikimedia.org/wiki/File:Codex_Vigilanus_Primeros_Numeros_Arabigos.jpg</a>. <a href="https://qoto.org/tags/History" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#History</a> <a href="https://qoto.org/tags/Science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Science</a> <a href="https://qoto.org/tags/HistSci" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#HistSci</a> <a href="https://qoto.org/tags/Maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Maths</a> <a href="https://qoto.org/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a> <a href="https://qoto.org/tags/Math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Math</a> <a href="https://a.gup.pe/u/science" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@science</a>

Alameda PostJeff Smith’s Math Puzzle for April 18, 2025 - And they shall twist their paper clips into Orwellian polygons. <a href="https://alamedapost.com/features/puzzles/jeff-smiths-math-puzzle-for-april-18-2025/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://alamedapost.com/features/puzzles/jeff-smiths-math-puzzle-for-april-18-2025/</a><a href="https://newsie.social/tags/alameda" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#alameda</a> <a href="https://newsie.social/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://newsie.social/tags/MathPuzzle" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathPuzzle</a> <a href="https://newsie.social/tags/puzzle" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#puzzle</a>

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