List questions from proof-verification

Published on 16 May 2018 - 21:44

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CW complex is connected iff 1-skeleton is connected

Published on 25 Mar 2026 - 18:08

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Proving that a prime factor greater than $n$ divides ${{x+n} \choose {n}}$

Published on 25 Mar 2026 - 12:25

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Putting a total ordering into set theory compatible with the Ackermann interpretation on $V_\omega$.

Published on 25 Mar 2026 - 10:55

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Prove that $1-\frac{x^2}{2}<\cos{x}<1-\frac{x^2}{2}+\frac{x^4}{24}$

Published on 17 May 2018 - 5:19

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Probability box of cards

Published on 26 Mar 2026 - 19:05

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Short subspace and linear spaces questions

Published on 17 May 2018 - 11:54

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Irrational and transcendental numbers of the form $\sum_{n=1}^\infty\frac{\operatorname{rad}(n)^\alpha}{s_n}$: proof verification and examples

Published on 25 Mar 2026 - 7:45

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Proof Verification: Continuity and Open sets

Published on 01 Apr 2026 - 21:51

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Proof Verification: Continuity and Closed sets

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Linear transformation such that $T(x) = kx$, for all $x \in \mathbf{R^n}$

Published on 29 Mar 2026 - 21:13

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$Ax=0$ has trivial solution $\implies$ $Ax=b$ has a unique solution.

Published on 26 Mar 2026 - 16:57

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Proof Verification:Prove that the intersection of an arbitrary collection of compact sets in R is compact.

Published on 17 May 2018 - 17:26

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What's the nonstandard way to argue $\lim_{n\to\infty}\sum_{k=0}^n\binom n k (\frac x n)^k = \sum_{k=0}^\infty \frac{x^k}{k!}$

Published on 25 Mar 2026 - 3:04

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Calculating the splitting field of this polynomial

Published on 25 Mar 2026 - 11:26

List Question

Show that this sum is not bounded below

CW complex is connected iff 1-skeleton is connected

Proving that a prime factor greater than $n$ divides ${{x+n} \choose {n}}$

Putting a total ordering into set theory compatible with the Ackermann interpretation on $V_\omega$.

Prove that $1-\frac{x^2}{2}<\cos{x}<1-\frac{x^2}{2}+\frac{x^4}{24}$

Probability box of cards

Short subspace and linear spaces questions

Irrational and transcendental numbers of the form $\sum_{n=1}^\infty\frac{\operatorname{rad}(n)^\alpha}{s_n}$: proof verification and examples

Proof Verification: Continuity and Open sets

Proof Verification: Continuity and Closed sets

Linear transformation such that $T(x) = kx$, for all $x \in \mathbf{R^n}$

$Ax=0$ has trivial solution $\implies$ $Ax=b$ has a unique solution.

Proof Verification:Prove that the intersection of an arbitrary collection of compact sets in R is compact.

What's the nonstandard way to argue $\lim_{n\to\infty}\sum_{k=0}^n\binom n k (\frac x n)^k = \sum_{k=0}^\infty \frac{x^k}{k!}$

Calculating the splitting field of this polynomial

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