List questions from solution-verification

Published on 14 Apr 2026 - 5:22

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Density Function and Expectation

Published on 11 Apr 2026 - 20:11

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Try for:Let $R$ be a finite commutative ring with unity. Then, if $I$ is prime ideal, then it is maximal ideal.

Published on 15 Apr 2026 - 13:55

166

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Prove that for any set $A$ there is some $x \notin A$.

Published on 12 Apr 2026 - 14:17

216

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Convergence of $\int_1^{+\infty}\sin\left( \frac{\sin(x)}{\sqrt{x}} \right) \frac{dx}{\sqrt{x}}$

Published on 17 Apr 2026 - 13:27

103

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(Proof verification) Cohn's Measure Theory Ch 6.2 ex 3: $(\overline{D}\mu)(a)=(\underline{D}\mu)(a)=f(a)$ if $f$ is cont. at $a$

Published on 13 Apr 2026 - 5:06

92

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Let $A$ and $B$ be sets. Show there exists a unique set $C$ such that $x \in C$ iff $x \in A$ and $x \notin B$ or $x \in B$ and $x \notin A$

Published on 15 Apr 2026 - 10:28

190

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How can I prove the existence of the set of natural numbers $\mathbb{N}$ in ZFC Set Theory?

Published on 11 Apr 2026 - 0:46

100

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Series expansion of $(1+x)^{\frac {1}{x}}$

Published on 24 Apr 2026 - 13:34

56

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Let $f \in \mathcal C (\mathbb R^d)$. Then $\rho_n * f \xrightarrow{n \to \infty} f$ uniformly on compact sets

Published on 14 Apr 2026 - 18:22

55

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$H^k(X^n,X^{n-1};G)=0$ for CW complexes

Published on 16 Apr 2026 - 2:59

63

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Show convergence of $\sum_{j=0}^\infty \psi_{i+j}\psi_j$ with a converse of the ratio test?

Published on 15 Apr 2026 - 10:48

110

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Proof verification: Characterising the domain of a self-adjoint operator

Published on 26 Mar 2026 - 1:16

50

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Dice Expectation and Variance

Published on 14 Apr 2026 - 22:04

20

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Geometric Distribution Expectation Question

Published on 11 Apr 2026 - 18:36

List Question

Bayes' Theorem Probability Question

Density Function and Expectation

Try for:Let $R$ be a finite commutative ring with unity. Then, if $I$ is prime ideal, then it is maximal ideal.

Prove that for any set $A$ there is some $x \notin A$.

Convergence of $\int_1^{+\infty}\sin\left( \frac{\sin(x)}{\sqrt{x}} \right) \frac{dx}{\sqrt{x}}$

(Proof verification) Cohn's Measure Theory Ch 6.2 ex 3: $(\overline{D}\mu)(a)=(\underline{D}\mu)(a)=f(a)$ if $f$ is cont. at $a$

Let $A$ and $B$ be sets. Show there exists a unique set $C$ such that $x \in C$ iff $x \in A$ and $x \notin B$ or $x \in B$ and $x \notin A$

How can I prove the existence of the set of natural numbers $\mathbb{N}$ in ZFC Set Theory?

Series expansion of $(1+x)^{\frac {1}{x}}$

Let $f \in \mathcal C (\mathbb R^d)$. Then $\rho_n * f \xrightarrow{n \to \infty} f$ uniformly on compact sets

$H^k(X^n,X^{n-1};G)=0$ for CW complexes

Show convergence of $\sum_{j=0}^\infty \psi_{i+j}\psi_j$ with a converse of the ratio test?

Proof verification: Characterising the domain of a self-adjoint operator

Dice Expectation and Variance

Geometric Distribution Expectation Question

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