List questions from solution-verification

Published on 17 Apr 2026 - 9:49

203

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Evaluate $\int \sqrt{\frac{1+x^2}{x^2-x^4}}dx$

Published on 17 Apr 2026 - 8:06

75

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A question about order of convergence

Published on 26 Mar 2026 - 1:28

67

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Probabilities to have $x$ women in a four-person committee

Published on 09 Apr 2026 - 13:26

129

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Showing that $\int_{0}^{1} f\, \overline{g} \,dx$ isn't an inner product on $C[0,2]$.

Published on 17 Apr 2026 - 10:30

112

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If an abelian group contains at most $n$ elements of order divisible by $n$, is it cyclic?

Published on 15 Apr 2026 - 18:47

37

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Challenge 6 from section 2.7 of the CTFP book

Published on 11 Apr 2026 - 5:41

77

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Metric in terms of curvature (proof verification)

Published on 11 Apr 2026 - 15:52

117

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Finding where my proof that if $A$ and $B$ are positive-definite matrices, then $AB$ is positive-definite is wrong.

Published on 12 Apr 2026 - 19:32

194

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Proof that if $R$ is a commutative ring and $R^n \cong R^m$ then $n=m$.

Published on 24 Apr 2026 - 7:45

115

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Can every first-order theory be conservatively "second-order-ized"?

Published on 13 Apr 2026 - 1:15

396

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Given a rectangle, construct a square with equal area

Published on 13 Apr 2026 - 12:25

175

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Proof of alternating zeros of Bessel function

Published on 10 Apr 2026 - 17:35

44

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Triple integral - sphere and cone - check answer

Published on 14 Apr 2026 - 10:53

34

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Show the transformations $T,R,S \in \mathscr{L}(\mathbb{R}^2)$ given by: $T(x,y)=(x,2y), \ R(x,y)=(x,x+y), \ S(x,y)=(0,x)$ are linearly independent.

Published on 15 Apr 2026 - 19:32

List Question

Evaluate $\int \sqrt{ a^2 - x^2} dx$

Evaluate $\int \sqrt{\frac{1+x^2}{x^2-x^4}}dx$

A question about order of convergence

Probabilities to have $x$ women in a four-person committee

Showing that $\int_{0}^{1} f\, \overline{g} \,dx$ isn't an inner product on $C[0,2]$.

If an abelian group contains at most $n$ elements of order divisible by $n$, is it cyclic?

Challenge 6 from section 2.7 of the CTFP book

Metric in terms of curvature (proof verification)

Finding where my proof that if $A$ and $B$ are positive-definite matrices, then $AB$ is positive-definite is wrong.

Proof that if $R$ is a commutative ring and $R^n \cong R^m$ then $n=m$.

Can every first-order theory be conservatively "second-order-ized"?

Given a rectangle, construct a square with equal area

Proof of alternating zeros of Bessel function

Triple integral - sphere and cone - check answer

Show the transformations $T,R,S \in \mathscr{L}(\mathbb{R}^2)$ given by: $T(x,y)=(x,2y), \ R(x,y)=(x,x+y), \ S(x,y)=(0,x)$ are linearly independent.

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