List questions from proof-verification

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If $\mu_n \rightarrow \mu$, then $\int f d\mu_n$ does not converge to $\int f d\mu$

Published on 15 Apr 2026 - 15:46

42

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Can this linear transformation be onto?

Published on 11 Apr 2026 - 20:42

83

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Prove (15n+17,10n+11) = 1

Published on 14 Apr 2026 - 22:44

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Proving an infimum using the archimedean property of R

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78

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Inequality $\frac{a_1}{1^2}+\frac{a_2}{2^2}+...+\frac{a_n}{n^2}\ge\frac{1}{1}+\frac{1}{2}+...+\frac{1}{n}$

Published on 25 Mar 2026 - 7:45

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Discrete Mathematics induction proof: $1! + 2! + 3! + \ldots + n! < (n + 1)!$

Published on 16 Apr 2026 - 11:28

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An abelian group $G$ is free abelian if and only if satisfies the projective property

Published on 15 Apr 2026 - 9:59

122

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Determining the type of singularities

Published on 15 Apr 2026 - 12:41

62

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Invertibility of a matrix proof

Published on 14 Apr 2026 - 0:28

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Eratosthenes' experiment on a flat earth versus on a spherical earth

Published on 15 Apr 2026 - 12:03

278

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Transformation of continuous random variables: solution verification

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Give principal branch of complex function

Published on 15 Apr 2026 - 5:33

171

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Clarification on Theorem 1.19, Apostol Calculus

Published on 14 Apr 2026 - 21:42

883

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Show that collection of Lipschitz functions with Lipschitz norm is a Banach space

Published on 15 Apr 2026 - 13:03

List Question

In the triangle $\triangle ABC$, $|AB|^3 = |AC|^3 + |BC|^3$. Prove that $\angle ACB > 60^\circ$.

If $\mu_n \rightarrow \mu$, then $\int f d\mu_n$ does not converge to $\int f d\mu$

Can this linear transformation be onto?

Prove (15n+17,10n+11) = 1

Proving an infimum using the archimedean property of R

Inequality $\frac{a_1}{1^2}+\frac{a_2}{2^2}+...+\frac{a_n}{n^2}\ge\frac{1}{1}+\frac{1}{2}+...+\frac{1}{n}$

Discrete Mathematics induction proof: $1! + 2! + 3! + \ldots + n! < (n + 1)!$

An abelian group $G$ is free abelian if and only if satisfies the projective property

Determining the type of singularities

Invertibility of a matrix proof

Eratosthenes' experiment on a flat earth versus on a spherical earth

Transformation of continuous random variables: solution verification

Give principal branch of complex function

Clarification on Theorem 1.19, Apostol Calculus

Show that collection of Lipschitz functions with Lipschitz norm is a Banach space

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