4 $GL_n(\mathcal{F})$ is a finite group if and only if $\mathcal{F}$ is finite 3 Null space of Sum of matrces 3 how many bit strings of length n are palindromes 2 $A_n$=$\frac {a_1+a_2+…a_n}{n}$ is monotonic if $a_n$ is monotonic 2 Mass of wire using line integral

### Reputation (613)

 +10 Null space of Sum of matrces +10 Tight upper tail bound for Normal distribution +10 Variance of $\mathrm{Proj}_{\mathcal{R}(A^T)}(z)$ for $z \sim \mathcal{N}(0, I_m)$. -2 Prove by test integrabilty that: $\displaystyle\int_0^{+\infty} \left|\frac{\ln x}{x^2-1}\right|\, dx < +\infty$

### Questions (5)

 2 Weakening uniqueness conditions for gradient descent 1 Tight upper tail bound for Normal distribution 1 Variance of $\mathrm{Proj}_{\mathcal{R}(A^T)}(z)$ for $z \sim \mathcal{N}(0, I_m)$. 0 Lower-bounding Gaussian inner products with high probability 0 Determine when the arc-length is (in)finite.

### Tags (68)

 5 linear-algebra × 5 3 matrix-calculus 5 matrices × 3 3 matrix-equations 4 group-theory 2 real-analysis × 7 3 abstract-algebra × 2 2 optimization × 4 3 combinatorics 2 sequences-and-series × 2

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