Simon Segert's user avatar
Simon Segert's user avatar
Simon Segert's user avatar
Simon Segert
  • Member for 6 years, 5 months
  • Last seen this week
18 votes
Accepted

Why is the maximum Rayleigh quotient equal to the maximum eigenvalue?

14 votes

True or False?: There are infinitely many continuous functions $f$ for which $\int_0^1f(x)(1-f(x))dx=\frac{1}{4}$

14 votes
Accepted

Without using approximation, prove that $ \ln(4)<\sqrt{2}$.

9 votes

"Funny Integral" over the Cantor Set

8 votes
Accepted

Generalization of Jensen's inequality

6 votes
Accepted

Expected Value Bounded by Median - a Direct Proof?

6 votes
Accepted

Show that $A=(a_{ij})_{1\le i,j\le5}$ is positive definite, where $a_{ij}=\frac1{n_i+n_j+1}$

6 votes

Prove that $\text{rank}(X^TX)=\text{rank}(X)$

5 votes
Accepted

A manifold integral with multi-dimensional angle?

4 votes

Why do we need to find the inverse of a Hessian in second order optimization?

4 votes

When the derivatives are never zero, is the maximum of a function equal to $\infty$?

4 votes

How many different ways can a deck of cards (52 facedown) be stacked?

4 votes
Accepted

Can we always find a stochastic process whose autocorrelation function is a given positive semidefinite function?

4 votes

Best way to play 20 questions

4 votes
Accepted

On convolution theorem and Fourier transform

3 votes

If a number is comprised of multiples of x, then it, itself, is a multiple of x. Is it true/provable and there a name for this principle?

3 votes
Accepted

Information in the Legendre transformation

3 votes
Accepted

Weighted Frobenius norm's inner product

3 votes

What does entropy capture that variance does not?

3 votes
Accepted

In Wikipedia's Statement of The Universal Approximation Theorem, is it taking identity activation on the output layer with no bias?

3 votes
Accepted

Uniform distribution on the space of stochastic matrices

3 votes

Does a Lie algebra reproduce its Lie group?

3 votes
Accepted

On the identity $\int N(z|\mu,\sigma_0^2)N(\mu|\mu_0,\sigma_1^2) d\mu = N(z|\mu_0,\sigma_0^2+\sigma_1^2)$ for normal distributions

3 votes

Explain how if $X_i$ are independent, then $(S_n/\sqrt{n})$ will (often) diverge almost surely

3 votes

counting the number of non-negative integer pairs of $a+2b+3c+4d=100$

2 votes
Accepted

Can differentiation be defined in an algebraic way?

2 votes
Accepted

Laplacian matrix of the weighted graph

2 votes
Accepted

Gaussian matrix integration

2 votes

If matrix $A$ has entries $A_{ij}=\sin(\theta_i - \theta_j)$, why does $\|A\|_* = n$ always hold?

2 votes

Generate sample of a random process with given correlation function