101010.pl is one of the many independent Mastodon servers you can use to participate in the fediverse.
101010.pl czyli najstarszy polski serwer Mastodon. Posiadamy wpisy do 2048 znaków.

Server stats:

477
active users

#euler

0 posts0 participants0 posts today
Khurram Wadee ✅<p>Of course this was known to many famous <a href="https://mastodon.org.uk/tags/mathematicians" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathematicians</span></a>, like <a href="https://mastodon.org.uk/tags/Euler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Euler</span></a> and <a href="https://mastodon.org.uk/tags/Jacobi" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Jacobi</span></a> and they solved the equations in terms of <a href="https://mastodon.org.uk/tags/EllipticIntegrals" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>EllipticIntegrals</span></a>. I find it satisfying to be able to visualize the <a href="https://mastodon.org.uk/tags/dynamics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dynamics</span></a> of the this system, using <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FreeSoftware</span></a>, such as <a href="https://mastodon.org.uk/tags/WxMaxima" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>WxMaxima</span></a>.</p>
Kät´n´Toots (she/her)<p>Zum <a href="https://mastodon.social/tags/TagDerEulerischenZahl" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TagDerEulerischenZahl</span></a></p><p><a href="https://mastodon.social/tags/K%C3%A4tToon" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>KätToon</span></a> <a href="https://mastodon.social/tags/EulerischeZahl" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>EulerischeZahl</span></a> <a href="https://mastodon.social/tags/Euler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Euler</span></a> <a href="https://mastodon.social/tags/Eule" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Eule</span></a></p>
Gersande La Flèche<p>Tomorrow, a small group of mathematicians realize that Euler's Identity has subtly changed. Scientific communities all over the world crack into factions, the majority believing that Euler's identity has not changed at all, others that the iconic proof was always incorrect, and a smaller yet very frightened faction left puzzled by how a mathematical invariant like the concept of 1 or an imaginary number can morph from one day to the next, and how the entirety of mathematics and physics must now be different. Yet, tragically, the world will refuse to change with it.</p><p><a href="https://silvan.cloud/tags/microfiction" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>microfiction</span></a> <a href="https://silvan.cloud/tags/euler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>euler</span></a> <a href="https://silvan.cloud/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathematics</span></a> <a href="https://en.m.wikipedia.org/wiki/Euler%27s_identity" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">en.m.wikipedia.org/wiki/Euler%</span><span class="invisible">27s_identity</span></a></p>
Khurram Wadee ✅<p>This is an interesting problem in <a href="https://mastodon.org.uk/tags/ClassicalMechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ClassicalMechanics</span></a> and exercised luminaries like <a href="https://mastodon.org.uk/tags/Newton" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Newton</span></a> and <a href="https://mastodon.org.uk/tags/Euler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Euler</span></a>. I think the latter's use of the <a href="https://mastodon.org.uk/tags/CalculusOfVariations" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CalculusOfVariations</span></a> is a stroke of genius.</p><p><a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MyWork</span></a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CCBYSA</span></a> <a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathematics</span></a> <a href="https://mastodon.org.uk/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Maths</span></a> <a href="https://mastodon.org.uk/tags/AppliedMathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AppliedMathematics</span></a> <a href="https://mastodon.org.uk/tags/Physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Physics</span></a> <a href="https://mastodon.org.uk/tags/Calculus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculus</span></a></p>
💧🌏 Greg Cocks<p>Variation On The Euler Diagram-Map Of The British Isles<br>--<br><a href="https://commons.wikimedia.org/wiki/File:British_Isles_Euler_diagram_15.svg" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">commons.wikimedia.org/wiki/Fil</span><span class="invisible">e:British_Isles_Euler_diagram_15.svg</span></a> &lt;-- wiki page<br>--<br><a href="https://en.wikipedia.org/wiki/Euler_diagram" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">en.wikipedia.org/wiki/Euler_di</span><span class="invisible">agram</span></a> &lt;-- wiki background to euler diagrams<br>--<br>Helps in naming of certain groupings of islands, although it might be seen as a controversial groupings for some…<br>--<br>“An Euler diagram is a diagrammatic means of representing sets and their relationships. They are particularly useful for explaining complex hierarchies and overlapping definitions. They are similar to another set diagramming technique, Venn diagrams. Unlike Venn diagrams, which show all possible relations between different sets, the Euler diagram shows only relevant relationships…”<br>--<br><a href="https://techhub.social/tags/GIS" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GIS</span></a> <a href="https://techhub.social/tags/spatial" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>spatial</span></a> <a href="https://techhub.social/tags/mapping" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mapping</span></a> <a href="https://techhub.social/tags/euler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>euler</span></a> <a href="https://techhub.social/tags/eulerdiagram" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>eulerdiagram</span></a> <a href="https://techhub.social/tags/gischat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>gischat</span></a> <a href="https://techhub.social/tags/map" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>map</span></a> <a href="https://techhub.social/tags/relationship" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>relationship</span></a> <a href="https://techhub.social/tags/knowledgegraph" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>knowledgegraph</span></a> <a href="https://techhub.social/tags/sets" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>sets</span></a> <a href="https://techhub.social/tags/relationships" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>relationships</span></a> <a href="https://techhub.social/tags/venndiagram" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>venndiagram</span></a> <a href="https://techhub.social/tags/UK" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>UK</span></a> <a href="https://techhub.social/tags/BritishIsles" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>BritishIsles</span></a></p>
tomsharp<p>1736: In solving the “Seven Bridges of Königsberg” problem, Leonhard Euler invented graph theory. <a href="https://mastodon.sdf.org/tags/Poetry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Poetry</span></a> <a href="https://mastodon.sdf.org/tags/Science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Science</span></a> <a href="https://mastodon.sdf.org/tags/History" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>History</span></a> <a href="https://mastodon.sdf.org/tags/GraphTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphTheory</span></a> <a href="https://mastodon.sdf.org/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathematics</span></a> <a href="https://mastodon.sdf.org/tags/Euler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Euler</span></a> (<a href="https://sharpgiving.com/thebookofscience/items/p1736a.html" rel="nofollow noopener" target="_blank"><span class="invisible">https://</span><span class="ellipsis">sharpgiving.com/thebookofscien</span><span class="invisible">ce/items/p1736a.html</span></a>)</p>
mc ☕<p>&gt; In 1779, the Swiss <a href="https://qoto.org/tags/mathematician" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathematician</span></a> Leonhard <a href="https://qoto.org/tags/Euler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Euler</span></a> posed a <a href="https://qoto.org/tags/puzzle" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>puzzle</span></a> that has since become famous: Six army regiments each have six officers of six different ranks. Can the 36 officers be arranged in a 6-by-6 square so that no row or column repeats a rank or regiment?</p><p>&gt; But after searching in vain for a solution for the case of 36 officers, Euler concluded that “such an arrangement is <a href="https://qoto.org/tags/impossible" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>impossible</span></a>, though we can’t give a rigorous demonstration of this.” More than a century later, the French mathematician Gaston Tarry <a href="https://qoto.org/tags/proved" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>proved</span></a> that, indeed, there was no way to arrange Euler’s 36 officers in a 6-by-6 square without repetition. In 1960, mathematicians used <a href="https://qoto.org/tags/computers" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>computers</span></a> to prove that solutions exist for any number of regiments and ranks greater than two, except, curiously, six.</p><p>&gt; But whereas Euler thought no such 6-by-6 square exists, recently the game has changed. In a paper posted online and submitted to Physical Review Letters, a group of quantum physicists in India and Poland demonstrates that it is possible to arrange 36 officers in a way that fulfills Euler’s criteria — so long as the officers can have a <a href="https://qoto.org/tags/quantum" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantum</span></a> <a href="https://qoto.org/tags/mixture" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mixture</span></a> of ranks and regiments.</p><p>Euler’s 243-Year-Old ‘Impossible’ Puzzle Gets a Quantum Solution<br><a href="https://www.quantamagazine.org/eulers-243-year-old-impossible-puzzle-gets-a-quantum-solution-20220110/" rel="nofollow noopener" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">quantamagazine.org/eulers-243-</span><span class="invisible">year-old-impossible-puzzle-gets-a-quantum-solution-20220110/</span></a></p>
mc ☕<p>&gt; In 1779, the Swiss mathematician Leonhard <a href="https://qoto.org/tags/Euler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Euler</span></a> posed a <a href="https://qoto.org/tags/puzzle" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>puzzle</span></a> that has since become famous: Six army regiments each have six officers of six different ranks. Can the 36 officers be arranged in a 6-by-6 square so that no row or column repeats a rank or regiment?</p><p>&gt; But after searching in vain for a solution for the case of 36 officers, Euler concluded that “such an arrangement is <a href="https://qoto.org/tags/impossible" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>impossible</span></a>, though we can’t give a rigorous demonstration of this.” More than a century later, the French mathematician Gaston Tarry <a href="https://qoto.org/tags/proved" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>proved</span></a> that, indeed, there was no way to arrange Euler’s 36 officers in a 6-by-6 square without repetition. In 1960, mathematicians used <a href="https://qoto.org/tags/computers" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>computers</span></a> to prove that solutions exist for any number of regiments and ranks greater than two, except, curiously, six.</p><p>&gt; But whereas Euler thought no such 6-by-6 square exists, recently the game has changed. In a paper posted online and submitted to Physical Review Letters, a group of quantum physicists in India and Poland demonstrates that it is possible to arrange 36 officers in a way that fulfills Euler’s criteria — so long as the officers can have a <a href="https://qoto.org/tags/quantum" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantum</span></a> <a href="https://qoto.org/tags/mixture" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mixture</span></a> of ranks and regiments.</p><p>Euler’s 243-Year-Old ‘Impossible’ Puzzle Gets a Quantum Solution<br><a href="https://www.quantamagazine.org/eulers-243-year-old-impossible-puzzle-gets-a-quantum-solution-20220110/" rel="nofollow noopener" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">quantamagazine.org/eulers-243-</span><span class="invisible">year-old-impossible-puzzle-gets-a-quantum-solution-20220110/</span></a></p>
🎓 Doc Freemo :jpf: 🇳🇱<p>Never forget your coordinate fields and unit circle. Probably one of the most important things to know as an engineer.</p><p><a href="https://qoto.org/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>science</span></a> <a href="https://qoto.org/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>math</span></a> <a href="https://qoto.org/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>maths</span></a> <a href="https://qoto.org/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathematics</span></a> <a href="https://qoto.org/tags/euler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>euler</span></a> <a href="https://qoto.org/tags/vectors" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>vectors</span></a> <a href="https://qoto.org/tags/LinearAlgebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LinearAlgebra</span></a></p>
Victorhck<p>Leonhard Euler, el mayor matemático del Siglo XVIII, nació un 15 de abril <a href="https://matematicascercanas.com/2019/04/15/leonhard-euler-15-de-abril/" rel="nofollow noopener" target="_blank"><span class="invisible">https://</span><span class="ellipsis">matematicascercanas.com/2019/0</span><span class="invisible">4/15/leonhard-euler-15-de-abril/</span></a> #¿Sabíasque...? <a href="https://mastodon.social/tags/leonhardeuler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeonhardEuler</span></a> <a href="https://mastodon.social/tags/euler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Euler</span></a></p>