List questions from alternative-proof

Published on 17 Apr 2026 - 4:27

446

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Simple proof of "maximum number of right angles in a convex $n$-gon is 3 for $n\geq 5$" for a 8th grade student?

Published on 15 Apr 2026 - 12:14

207

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Prove: A is invertible IFF 0 is not an eigenvalue of A

Published on 11 Apr 2026 - 5:06

572

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Riemann integral in two variables

Published on 11 Apr 2026 - 19:28

47

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Proving this theorem without using Induction

Published on 13 Apr 2026 - 5:18

57

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Alternative proof for $(m+1)^3 \leq2m^3$

Published on 16 Apr 2026 - 9:53

33

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Alternative proof request: If $C=\{x^2,x\in S\}$, show that $\sup(C)=\max\{\sup(S)^2,\inf(S)^2\}$

Published on 14 Apr 2026 - 8:46

136

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Minimum value of $a\cdot b+2a\cdot c+b\cdot c$

Published on 17 Apr 2026 - 15:50

60

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Prove $\tanh^{-1}\left(\sqrt{\tanh(x)}\right)-\tan^{-1}\left(\sqrt{\tanh(x)}\right)\geq 0$ without using derivative

Published on 16 Apr 2026 - 20:48

70

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Direct proof: $f$ is continuous $\implies$ preimage is closed

Published on 14 Apr 2026 - 14:13

57

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If $rank(S) \leq nullity(T)$ then is $rank(S^) \geq nullity(T^)$?

Published on 16 Apr 2026 - 17:50

116

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Elegant solution to $e^{xe^{ix}} = e^{ix}, x \in \mathbb{R}$

Published on 12 Apr 2026 - 2:44

233

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$A$ is a finitely gen. $k$-algebra. How to show that the set of closed points of $\operatorname{Spec}A$ is dense without using that $A$ is Jacobson?

Published on 14 Apr 2026 - 5:07

145

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An alternative way to calculate $\int_{0}^{1}\frac{x}{x^2+(1-x)^2}\,dx$

Published on 15 Apr 2026 - 23:22

226

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If n and m are sums of two squares so is $\frac{n}{m}$

Published on 14 Apr 2026 - 22:33

List Question

Prove : $\arctan(x)>\tanh(x)$ for $0< x\leq 1$

Simple proof of "maximum number of right angles in a convex $n$-gon is 3 for $n\geq 5$" for a 8th grade student?

Prove: A is invertible IFF 0 is not an eigenvalue of A

Riemann integral in two variables

Proving this theorem without using Induction

Alternative proof for $(m+1)^3 \leq2m^3$

Alternative proof request: If $C=\{x^2,x\in S\}$, show that $\sup(C)=\max\{\sup(S)^2,\inf(S)^2\}$

Minimum value of $a\cdot b+2a\cdot c+b\cdot c$

Prove $\tanh^{-1}\left(\sqrt{\tanh(x)}\right)-\tan^{-1}\left(\sqrt{\tanh(x)}\right)\geq 0$ without using derivative

Direct proof: $f$ is continuous $\implies$ preimage is closed

If $rank(S) \leq nullity(T)$ then is $rank(S^) \geq nullity(T^)$?

Elegant solution to $e^{xe^{ix}} = e^{ix}, x \in \mathbb{R}$

$A$ is a finitely gen. $k$-algebra. How to show that the set of closed points of $\operatorname{Spec}A$ is dense without using that $A$ is Jacobson?

An alternative way to calculate $\int_{0}^{1}\frac{x}{x^2+(1-x)^2}\,dx$

If n and m are sums of two squares so is $\frac{n}{m}$

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