Zum #Euler-Tag ein kleines #Calliopemini-Projekt gebaut (im Simulator von MakeCode nutzbar):
https://makecode.calliope.cc/_YvdYr29wmdWh
<Hav_e_fun/>!
// CC @calliope
Zum #Euler-Tag ein kleines #Calliopemini-Projekt gebaut (im Simulator von MakeCode nutzbar):
https://makecode.calliope.cc/_YvdYr29wmdWh
<Hav_e_fun/>!
// CC @calliope
@TVLuketus actually, it’s #euler-day 😅
#Euler-Tag:
* Datum (Europa): 27. Januar (27.1.)
* Datum (USA/International): 7. Februar (2/7)
Zur Feier des Tages differenzieren und integrieren wir e^x.
2026-02-05 #SpookyKittiesSciences: there is also preliminary evidence that #Euler likes Tatarian Honeysuckle. She very deliberately licked the corner I put the honeysuckle in.
Learned from my dad today that apparently #Euler the catnip addict has been meowing up a storm. He was outside in the afternoon when she went down the hill, meowing her little heart out. #SpookyKittiesFerals
It appears that the #CatnipWhirlpool froze just enough that her #Euler-ness was willing to use it to get up onto the shelf. #SpookyKittiesFerals
Not 100% sure on the identity of the meow, but I am like 90% sure it is #Euler. I can rule out Dorian, as he went SW around the house, which would require an entire trip around the house and down the neighbors driveway in 10 seconds. X22 is really the only other possibility, but I have never heard his what I am sure is a very sweet voice. The Inspectors status as an equally long feral with Dorian makes me doubt it was him.
Further progressing with #Euler the catnip addict today. Got a full long pet around her tail, including the tail!
It did add to the body of evidence that she has not been inside for a while. That collar and her behavior all but confirms that she had humans at one point, but her fur has a roughness that only comes from being out 24/7. I definitely made the right decision in naming her as a member of my #SpookyKitties family. #SpookyKittiesFerals
2026-02-01 #SpookyKittiesSciences: in a surprise development, #Euler the catnip addict has revealed she likes silvervine. This is after 4 whole days of rolling everywhere but on the vine. And, like an X22+Dorian earlier in the morning, a very confused Inspector Clouseau(for those not in the know, he appears to no react to nip/vine) was watching her. Unlike X22, Euler did not roll over and almost land in the water bowl. #Cat #Cats #TuxedoCat #GrayCat
It’s incredible that these two identities can explain so much.
Link: https://arxiv.org/abs/2505.03754
#math #calculus #euler #unification #generalization #integrals #integration
Weierstrass Substitution as a Special Case of the USM Framework:
https://geometriadominicana.blogspot.com/2025/12/weierstrass-as-special-case-of-usm.html
#math #calculus #Weierstrass #USM #framework #euler #unification #integral #integration
Die versammelte Redaktion von Spektrum der Wissenschaft scheitert daran, das Haus vom Nikolaus zu zeichnen. Was ist da los? In dieser Geschichte aus der Mathematik springen wir zu den Anfängen der Graphentheorie, ins Königsberg des 18. Jahrhunderts.
#Euler #Graphentheorie #HausVomNikolaus #KönigsbergerBrückenproblem #Mathe #SpektrumDerWissenschaft #GeschichtenAusDerMathematik
Никлаус Вирт и язык Pascal — легенды 80-х
В 1970 году молодой швейцарский учёный и программист Никлаус Вирт (Niklaus Wirth) выпустил первую версию Pascal. Прошло более полувека, автор умер в 89 лет, а вот Паскаль остаётся актуальным и популярным языком программирования.
https://habr.com/ru/companies/ruvds/articles/968706/
#Никлаус_Вирт #Pascal #Turbo_Pascal #Delphi #Niklaus_Wirth #Free_Pascal #Lazarus_IDE #Algol #Euler #ruvds_статьи
When a calculus student ends up solving this integral using partial fraction decomposition (PFD) or integration by parts (IBP), what they have actually done is successfully applied a classical algorithm. It’s like solving the Rubik’s cube by following an algorithm you found on the Internet: the heavy lifting of inventing PFD and IBP was done centuries ago by Bernoulli, Leibniz, and Gregory.
That said, the USM is, as far as I know, the only published general scheme that, for this kind of radical–rational integrals, systematically reduces the integrand to polynomial-type functions (Laurent polynomials, to be more precise). There’s no need to set up complicated PFDs or wrestle with sec³, which can be tricky with IBP. That’s what I call solving a problem, if you’ll allow me a bit of self-promotion.
You can find a first draft (I’ll soon upload a second version with benchmarks and some improvements) of the USM method on arXiv: https://arxiv.org/abs/2505.03754
#calculus #math #symmetrymatters #halfangleapproach #euler #integration
Gave a lecture today about Euler's theorem.
Then somehow it led to:
"There's a face, next muffin!"
Wondering what kind of vibe that sent out...
Método de Taylor
Método de Euler
🎩💡 Math sorcery alert! #RSA swapped Euler's math magic for Carmichael's card trick without even telling anyone! Who knew #encryption had a sense of humor? 🤷♂️🔒
https://www.johndcook.com/blog/2025/10/06/a-quiet-change-to-rsa/ #MathMagic #Humor #Carmichael #Euler #HackerNews #ngated