@ParamountBrasil Right now. The bag of wind? Anything else that’s odyssey coded
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tannercarawan
386 posts
tannercarawan
@TannerCarawan
Recent graduate
Virginia Beach, VA Katılım Temmuz 2013
88 Takip Edilen16 Takipçiler
Quantos anos você tinha quando descobriu que o primeiro filme do Bob Esponja é uma adaptação de A Odisseia? 🤯
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At every party, there are two people who have the same number of friends present.
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Let p(x) be a polynomial with only real roots. Then p'(x)² >= p(x) p''(x) for all x.
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@op_idempotent I thought tan(x/2) substitution could handle rational functions of sine and cosine.
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[Antonyan–Dobrowolski 2015]. For a locally compact Hausdorff group G with a closed subgroup H, TFAE:
(1) G/H is locally contractible.
(2) G/H is a manifold.
Some theorems@CihanPostsThms
[Antonyan 2011]: For a compact Hausdorff group G with a closed subgroup H, TFAE: (1) The coset space G/H is contractible. (2) H = G.
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@RayleighLord Rearrange to x(y’ - y)’ = y’ - y. Let v = y’ - y. xv’ = v so v = Cx. Now y’ - y = Cx. Multiply by e^-x. y’e^(-x) - ye^(-x) = Cxe^(-x). (ye^(-x))’ = Cxe^(-x). ye^(-x) = C[-xe^(-x) - e^(-x)] + D. y = C[-x - 1] + De^x
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La ecuación diferencial
xy'' -(1 + x)y' + y = 0,
tiene solución exacta. ¿Cuál es la manera más elegante/intuitiva que usaríais para resolverla?
Español
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If a polynomial function is trapped in a box, how much can it wiggle?
ethanepperly.com/index.php/2026…
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There are two groups of order 2026:
The integers mod 2026
The direct sum of the integers mod 2 and the integers mod 1013
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The value of Pi is the lowest it can possibly be when you measure distances as the hypotenuse of a right triangle.
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@aryehazan Maybe it doesn’t matter since humans won’t be around long enough to exhaust the supply of interesting math
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my aspiring mathematician nephew is concerned that maybe someday we'll run out of nontrivial theorems to prove
he knows there are infinitely many *theorems* but worries that there might only be many finitely interesting ones
I told him that all the mathematicians I know think otherwise
what argument would put him at ease?
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It's Cool Math Image Saturday!
This week's image: The geometric interpretation of matrix diagonalization.
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I might have a new favorite proof that the harmonic series diverges. It's just so beautiful.
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Joseph Fourier introduced modern summation notation in 1820. (i.e. capital sigma with limits on bottom and top)
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Problem of today’s class!
Sergei is typing class notes and at the end of this course, I will make it available. This is a two year long course for Mathew Popov (13), Sergei (15) & Parth (15); will cover theoretical linear algebra, Groups, Rings, Fields, Module & Galois Theory.
Yaashaa Golovanov@Golovanov_ammoc
We've reached page 19 of our current study, focusing on the rudiments of category theory! Our group, including Sergei Makarevich, Matthew Popov, Parth, Charvi, and Prasanna, is making great progress.
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