List questions from alternative-proof

Published on 06 Nov 2016 - 22:07

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Show that $\lim_{x\to\infty} \int_0^x f(x-y) g(y) dy = 0$

Published on 07 Nov 2016 - 0:22

474

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Prove the function below is continuous and differentiable at only $0$

Published on 07 Nov 2016 - 23:09

136

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Find all functions $f: \mathbb Z \to \mathbb Z$ such that $f(x+y)=f(x)+f(y)$

Published on 31 Mar 2026 - 22:28

97

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$\#(A)\nleqslant \#(B)\Rightarrow \#(A)\geq \#(B)$

Published on 02 Apr 2026 - 0:13

56

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Geometrical intuition for sum of first n cubes

Published on 11 Nov 2016 - 10:43

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Another way to show convergence of $ \sum_{n=1}^{\infty} \frac{ (-1)^n }{n} $

Published on 12 Nov 2016 - 0:42

4.9k

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Proof Complex Number Square Roots

Published on 12 Nov 2016 - 4:48

49

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How to show these sets are equal: $\overline{X \setminus A} = X \setminus A^\circ$

Published on 12 Nov 2016 - 13:22

746

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Proof of continuously differentiable curve arc length

Published on 26 Mar 2026 - 12:35

82

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Is there a cleaner proof of convergence for this almost-telescoping series

Published on 01 Apr 2026 - 10:27

544

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How to prove immediate predecessor by proof

Published on 13 Nov 2016 - 16:42

123

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Trying to prove Theorem $3.9$ from $I^K$ Convergence by Sleziak & Macaj

Published on 14 Nov 2016 - 5:11

59

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Borsuks' conjecture in 2d alternative proofs

Published on 26 Mar 2026 - 9:20

219

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Other ways to calculate this indefinite integral ($\int \frac{2\,dx}{(\cos(x) - \sin(x))^2}$)?

Published on 16 Nov 2016 - 11:05

List Question

Let $A\in{\rm End}(\Bbb K^n)$. Prove that $h:\Bbb K^n\to\Bbb K,\; x\mapsto (Ax|x)$ is continuous

Show that $\lim_{x\to\infty} \int_0^x f(x-y) g(y) dy = 0$

Prove the function below is continuous and differentiable at only $0$

Find all functions $f: \mathbb Z \to \mathbb Z$ such that $f(x+y)=f(x)+f(y)$

$\#(A)\nleqslant \#(B)\Rightarrow \#(A)\geq \#(B)$

Geometrical intuition for sum of first n cubes

Another way to show convergence of $ \sum_{n=1}^{\infty} \frac{ (-1)^n }{n} $

Proof Complex Number Square Roots

How to show these sets are equal: $\overline{X \setminus A} = X \setminus A^\circ$

Proof of continuously differentiable curve arc length

Is there a cleaner proof of convergence for this almost-telescoping series

How to prove immediate predecessor by proof

Trying to prove Theorem $3.9$ from $I^K$ Convergence by Sleziak & Macaj

Borsuks' conjecture in 2d alternative proofs

Other ways to calculate this indefinite integral ($\int \frac{2\,dx}{(\cos(x) - \sin(x))^2}$)?

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