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<blockquote style="position: relative; padding-left: 55px;"><section><a href="https://mathstodon.xyz/users/icecolbeveridge/statuses/111302573428253145">Colin Beveridge (icecolbeveridge@mathstodon.xyz)'s status on Friday, 27-Oct-2023 06:40:52 JST</a><a href="https://mathstodon.xyz/@icecolbeveridge" title="icecolbeveridge@mathstodon.xyz"><img src="https://gnusocial.jp/avatar/204373-48-20231026214052.webp" width="48" height="48" alt="Colin Beveridge" style="position: absolute; left: 0; top: 0;">Colin Beveridge</a></section><article><p>TIL about umbral calculus: <a href="https://en.m.wikipedia.org/wiki/Umbral_calculus" rel="nofollow noreferrer">https://en.m.wikipedia.org/wiki/Umbral_calculus</a></p><p>"Construed literally, it is absurd, and yet it is successful." It seems to have been used for about a century despite nobody really having an explanation for why it worked.</p></article><footer><a rel="bookmark" href="https://gnusocial.jp/conversation/2238317#notice-4406891">In conversation</a><time datetime="2023-10-27T06:40:52+09:00" title="Friday, 27-Oct-2023 06:40:52 JST">about a year ago</time> <span>from <span><a href="https://mathstodon.xyz/@icecolbeveridge/111302573428253145" rel="external" title="Sent from mathstodon.xyz via ActivityPub">mathstodon.xyz</a></span></span><a href="https://mathstodon.xyz/@icecolbeveridge/111302573428253145">permalink</a><h4>Attachments</h4><ol><li><article><header><div>Domain not in remote thumbnail source whitelist: login.wikimedia.org</div><h5><a href="https://en.m.wikipedia.org/wiki/Umbral_calculus">Umbral calculus</a></h5><div></div></header><div>In mathematics before the 1970s, the term umbral calculus referred to the surprising similarity between seemingly unrelated polynomial equations and certain shadowy techniques used to "prove" them. These techniques were introduced by John Blissard and are sometimes called Blissard's symbolic method. They are often attributed to Édouard Lucas (or James Joseph Sylvester), who used the technique extensively.Short historyIn the 1930s and 1940s, Eric Temple Bell attempted to set the umbral calculus on a rigorous footing.
In the 1970s, Steven Roman, Gian-Carlo Rota, and others developed the umbral calculus by means of linear functionals on spaces of polynomials. Currently, umbral calculus refers to the study of Sheffer sequences, including polynomial sequences of binomial type and Appell sequences, but may encompass systematic correspondence techniques of the calculus of finite differences.The 19th-century umbral calculusThe method is a notational procedure used for deriving identities involving indexed...</div><footer></footer></article></li></ol></footer></blockquote>

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Colin Beveridge (icecolbeveridge@mathstodon.xyz)'s status on Friday, 27-Oct-2023 06:40:52 JST Colin Beveridge
TIL about umbral calculus: https://en.m.wikipedia.org/wiki/Umbral_calculus
"Construed literally, it is absurd, and yet it is successful." It seems to have been used for about a century despite nobody really having an explanation for why it worked.
In conversationabout a year ago from mathstodon.xyzpermalink
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  Umbral calculus
  In mathematics before the 1970s, the term umbral calculus referred to the surprising similarity between seemingly unrelated polynomial equations and certain shadowy techniques used to "prove" them. These techniques were introduced by John Blissard and are sometimes called Blissard's symbolic method. They are often attributed to Édouard Lucas (or James Joseph Sylvester), who used the technique extensively. Short history In the 1930s and 1940s, Eric Temple Bell attempted to set the umbral calculus on a rigorous footing. In the 1970s, Steven Roman, Gian-Carlo Rota, and others developed the umbral calculus by means of linear functionals on spaces of polynomials. Currently, umbral calculus refers to the study of Sheffer sequences, including polynomial sequences of binomial type and Appell sequences, but may encompass systematic correspondence techniques of the calculus of finite differences. The 19th-century umbral calculus The method is a notational procedure used for deriving identities involving indexed...

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