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JacobsonRadical

I am the collection of all the dumbnesses in the universe.

Almost surely I am not sure about anything.

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8 votes

Prove the zeros of a polynomial all lie in an annulus.

complex-analysis proof-verification asked Aug 12, 2019 at 17:48
math.stackexchange.com

7 votes

Show that $f_{k}\longrightarrow f$ both weakly in $L^{p}$ and a.e. implies $|f_{k}|^{p}-|f|^{p}-|f_{k}-f|^{p}$ converges to $0$ in distribution

pde fourier-analysis fourier-series calculus-of-variations harmonic-analysis asked Mar 6, 2020 at 18:53
math.stackexchange.com

7 votes

Find All Entire Functions that Satisfy Some Condition

complex-analysis asked Jul 23, 2019 at 12:25
math.stackexchange.com

6 votes

Show that $X_{t}:=\alpha X_{t-1}+\epsilon_{t}$ is strictly stationary for $|\alpha|<1$ and $\epsilon_{t}$ i.i.d$~\sim N(0,\sigma^{2})$.

probability-theory statistics stochastic-processes time-series stationary-processes asked Jan 21 at 17:16
math.stackexchange.com

6 votes

Confusion on the kernel and image of boundary map in terms of computing simplicial homology.

abstract-algebra algebraic-topology homology-cohomology geometric-topology asked May 2, 2020 at 1:57
math.stackexchange.com

6 votes

The relation between uniform integrability and dominated convergence theorem in the case of counting measure

real-analysis sequences-and-series measure-theory lebesgue-integral asked Sep 21, 2020 at 1:07
math.stackexchange.com

6 votes

Show that if X and Y are i.i.d random variables such that $\mathbb{E}(X-Y)^{2}<\infty$, then $\mathbb{E}X^{2}<\infty$

probability-theory proof-verification expected-value asked Nov 3, 2019 at 21:40
math.stackexchange.com

6 votes

An example of a non-commutative ring with multiplicative identity 1 in which the only (two sided) ideals are 0 and the whole ring

abstract-algebra ring-theory ideals noncommutative-algebra asked Nov 28, 2017 at 6:19
math.stackexchange.com

6 votes

The Galois group is $\mathbb{Z_{4}}$ if and only if $\frac{\alpha}{\beta}-\frac{\beta}{\alpha}\in\mathbb{Q}$

abstract-algebra field-theory galois-theory asked Apr 11, 2018 at 12:47
math.stackexchange.com

6 votes

an odd degree polynomial with cyclic Galois group has root all real

abstract-algebra field-theory galois-theory asked May 2, 2018 at 3:36
math.stackexchange.com

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