List questions from proof-writing

Published on 16 Apr 2026 - 9:12

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Show that $~f~$ is uniformly continuous on all of $~\mathbb R~$.

Published on 16 Apr 2026 - 21:00

86

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Is $\lim_{n\to\infty} S_n$ irrational?

Published on 17 Apr 2026 - 15:42

185

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Prove that the mapping $f:\mathbb{R}^n\rightarrow \mathbb{R}^m$ is linear if and only if its coordinate functions $f_1,...,f_m$ are linear.

Published on 16 Apr 2026 - 10:58

106

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How to answer problems in set theory and other fields of higher mathematics

Published on 13 Apr 2026 - 5:42

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Proof of Vector Identity using Summation Notation

Published on 25 Mar 2026 - 1:15

213

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Problem in solving an inequality.

Published on 11 Apr 2026 - 4:07

53

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Elaboration of an example on the independence of the conditions of a subspace of a vector space.

Published on 15 Apr 2026 - 15:28

244

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Understanding question 77 in Golan's "Linear Algebra".

Published on 10 Apr 2026 - 12:21

45

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Show $0<d<1+r_1<u$

Published on 13 Apr 2026 - 18:38

92

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Proof verification - Cauchy sequence

Published on 12 Apr 2026 - 0:40

2.6k

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Prove that the reduced row echelon form (rref) of an $n$ by $n$ matrix either is the identity matrix or contains at least one row of zeroes.

Published on 17 Apr 2026 - 8:07

263

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If $A$ and $B$ are subsets of $X$, prove $f(A)-f(B)$ is subset of $f(A-B)$

Published on 16 Apr 2026 - 2:04

225

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Prove that the image of a line lies on a plane

Published on 14 Apr 2026 - 4:43

216

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Proof Writing For Pythagorean Triple “Reduction” Problem

Published on 25 Mar 2026 - 6:09

List Question

Prove there is $z \in (a,b)$ such that $f(z)=1/k \sum_{n=1}^k f(x_n)$

Show that $~f~$ is uniformly continuous on all of $~\mathbb R~$.

Is $\lim_{n\to\infty} S_n$ irrational?

Prove that the mapping $f:\mathbb{R}^n\rightarrow \mathbb{R}^m$ is linear if and only if its coordinate functions $f_1,...,f_m$ are linear.

How to answer problems in set theory and other fields of higher mathematics

Proof of Vector Identity using Summation Notation

Problem in solving an inequality.

Elaboration of an example on the independence of the conditions of a subspace of a vector space.

Understanding question 77 in Golan's "Linear Algebra".

Show $0<d<1+r_1<u$

Proof verification - Cauchy sequence

Prove that the reduced row echelon form (rref) of an $n$ by $n$ matrix either is the identity matrix or contains at least one row of zeroes.

If $A$ and $B$ are subsets of $X$, prove $f(A)-f(B)$ is subset of $f(A-B)$

Prove that the image of a line lies on a plane

Proof Writing For Pythagorean Triple “Reduction” Problem

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