Andrey Rekalo

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35 Answers

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2
Lipschitz flows on Banach spaces
13
Spreading points in the unit interval to maximize the product of pairwise distances
13
famous space curves in geometry history?
3
How to check if transformation is affine?
4
Invariant Subspace Problem
1
Geometric intuition for the Householder transformation
5
Domain of the Gamma function
10
A sequence not equidistributed in [0,1]
11
An orthonormal set cannot be a basis in an infinite dimension vector space?
24
Proving that the sequence $F_{n}(x)=\sum\limits_{k=1}^{n} \frac{\sin{kx}}{k}$ is boundedly convergent on $\mathbb{R}$
12
Proof for an integral involving sinc function
1
An integrable function with many discontinuities
5
Showing $1,e^{x}$ and $\sin{x}$ are linearly independent in $\mathcal{C}[0,1]$
5
Get $\pi$ decimals manually
5
Is $L^2(\mathbb{R})$ with convolution a Banach Algebra?
4
Intuitive explanation of a positive-semidefinite matrix
8
$\frac{\mathrm d^2 \log(\Gamma (z))}{\mathrm dz^2} = \sum\limits_{n = 0}^{\infty} \frac{1}{(z+n)^2}$
6
Proving $\lim_{n \to \infty} 2^{2n-1} \sqrt{n} \frac{ \Gamma(n)^{2}}{\Gamma(2n)} = \sqrt{\pi}$
5
Suggesting closed-form representations of mathematical constants by means of experimental mathematics?
11
Calculating the integral $\int_{0}^{\infty} \frac{\cos x}{1+x^2}\mathrm{d}x$ without using complex analysis
8
Comparing $\pi^{e}$ and $e^{\pi}$
23
Proving $\int_{0}^{+\infty} e^{-x^2} dx = \frac{\sqrt \pi}{2}$
6
Compute $\lim_{a \to 0^+} \left(a \int_1^{\infty} e^{-ax}\cos \left(\frac{2\pi}{1+x^{2}} \right)\mathrm dx\right)$
7
Volume bounded by cylinders x^2 + y^2 = r^2 and z^2 + y^2 = r^2
62
Funny identities
1
Summing a given series
14
Different methods to compute $\sum\limits_{n=1}^\infty \frac{1}{n^2}$
4
Next term in $(1+a/n)^n \rightarrow \exp (n)$
16
why have we chosen our number system to be decimal (base 10)
5
Eigenvalues and Eigenvectors of $2 \times 2$ Matrix
1 2