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HorizonsMaths
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I am a math lover.

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48
How do you prove that $tr(B^{T} A )$ is a inner product?
Aug 26, 2013
answer
26
If $xy$ and $x+y$ are both even integers (with $x,y$ integers), then $x$ and $y$ are both even integers
Oct 25, 2013
answer
22
$\int_0^{2\pi} \sqrt{1-\cos(x)}\,dx = 4\sqrt{2}$. Why?
Oct 30, 2013
answer
20
Fourier transform of even/odd function
Aug 19, 2012
answer
19
Convergence of the sequence $a_n=\int_0^1{nx^{n-1}\over 1+x}dx$
Dec 21, 2013
answer
17
How to prove that $\cos^2(z)+\sin^2(z)=1$, where $z$ is a complex variable (if it is true)?
Jun 14, 2015
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14
How to prove $\operatorname{Tr}(AB) = \operatorname{Tr}(BA)$?
Nov 14, 2022
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12
Proving that a linear isometry on $\mathbb{R}^{n}$ is an orthogonal matrix
Jul 12, 2012
answer
11
Lipschitz-continuous $f(x)=x^2\cdot \sin\left(\frac{1}{x}\right)$
Dec 26, 2013
answer
10
Integration of $\sqrt{1+u^2}\,du$
Dec 3, 2013
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7
Characterization of certain curves of $\mathbb{R}^2$
5
Proof of a concentration compactness lemma
5
Sobolev imbedding on Riemannian manifolds