List questions from solution-verification

Published on 08 Apr 2026 - 11:00

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Find the greatest value of $E=\frac{a_1}{1+a_1^2}+\frac{a_2}{1+a_2^2}+\ldots+\frac{a_n}{1+a_n^2}$

Published on 17 Apr 2026 - 4:43

21

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Composing integral transforms means multiplying the kernels.

Published on 13 Apr 2026 - 12:21

40

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Showing $(A, <_A)$ and $(B,<_B)$ have different order types.

Published on 15 Apr 2026 - 22:10

71

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Does $f(f(x))=x$ imply surjectivity?

Published on 13 Apr 2026 - 14:04

31

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Variant of fundamental lemma of calculus of variations

Published on 12 Apr 2026 - 22:33

181

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Let $G$ be a group, $a \in G$. Prove that for all $g \in G$, $|a| = |g^{-1}ag|$

Published on 16 Apr 2026 - 15:22

101

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Proving Axler Theorem 3.36

Published on 15 Apr 2026 - 1:03

146

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Use of integration by parts to show a reduction formula

Published on 09 Apr 2026 - 20:29

206

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Riemann Sum to Integral

Published on 11 Apr 2026 - 12:51

67

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Integral Solution Calculation

Published on 08 Apr 2026 - 20:34

51

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Poisson Approximation Book Pages

Published on 14 Apr 2026 - 23:12

35

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Prove that the union of totally closed collections with respect union or intersection is not totally closed with respect union or intersection.

Published on 16 Apr 2026 - 20:01

52

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Prove $\mathbb{E}[g(X)|X=x]=g(x)$

Published on 17 Apr 2026 - 12:16

55

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Solution Verification: Finding $\frac{\mathrm{d}}{\mathrm{d}x}\left(\int _{x^2}^{\tan^{-1}x}\:\sin\left(t\right) \, \mathrm{d}t\right)$

Published on 17 Apr 2026 - 4:45

List Question

Does there exist an infinite set admitting precisely four linear orders?

Find the greatest value of $E=\frac{a_1}{1+a_1^2}+\frac{a_2}{1+a_2^2}+\ldots+\frac{a_n}{1+a_n^2}$

Composing integral transforms means multiplying the kernels.

Showing $(A, <_A)$ and $(B,<_B)$ have different order types.

Does $f(f(x))=x$ imply surjectivity?

Variant of fundamental lemma of calculus of variations

Let $G$ be a group, $a \in G$. Prove that for all $g \in G$, $|a| = |g^{-1}ag|$

Proving Axler Theorem 3.36

Use of integration by parts to show a reduction formula

Riemann Sum to Integral

Integral Solution Calculation

Poisson Approximation Book Pages

Prove that the union of totally closed collections with respect union or intersection is not totally closed with respect union or intersection.

Prove $\mathbb{E}[g(X)|X=x]=g(x)$

Solution Verification: Finding $\frac{\mathrm{d}}{\mathrm{d}x}\left(\int _{x^2}^{\tan^{-1}x}\:\sin\left(t\right) \, \mathrm{d}t\right)$

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