List questions from alternative-proof

Published on 24 May 2015 - 14:37

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Finding all solutions to $x^2+y^2=2010$

Published on 31 May 2015 - 21:04

159

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Did I solve exercise 4.5.4 (b) of 'How to Prove it' by velleman correctly and concisely?

Published on 02 Jun 2015 - 7:35

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What is the most unusual proof you know that $\sqrt{2}$ is irrational?

Published on 26 Mar 2026 - 16:06

136

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Clever proofs that prove one identity is equal to another, without going through the original identity?

Published on 04 Jun 2015 - 2:19

89

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Proving a formula using another formula

Published on 04 Jun 2015 - 3:34

176

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Proof Verification for Putnam Problem [Alternate Solution] 1997 A4

Published on 05 Jun 2015 - 23:16

155

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$\frac{1}{{9\choose r}} -\frac{1}{{10\choose r}} = \frac{11}{6{11\choose r}}$. Is there a way to find $r$ without using algebra?

Published on 07 Jun 2015 - 19:52

610

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Integrate $\int_{0}^{\pi/2}x\sqrt{\tan{x}}\log{(\sin{x})}\,\mathrm dx$

Published on 10 Jun 2015 - 13:48

563

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Show an $\arctan$ and $\arcsin$ function is constant

Published on 11 Jun 2015 - 13:46

31

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Parallelpiped formula induction

Published on 11 Jun 2015 - 18:40

163

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$\operatorname{Ext}^n$: computation verification

Published on 12 Jun 2015 - 3:03

1.1k

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Alternative proof of $\cos^6{\theta}+\sin^6{\theta}=\frac{1}{8}(5+3\cos{4\theta})$

Published on 13 Jun 2015 - 17:45

191

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Limits without L'Hospital

Published on 03 Apr 2026 - 4:15

182

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Alternative way to count the number of solutions to the equation $x^2 + y^2 = -1$ over $\Bbb Z /p$

Published on 17 Jun 2015 - 13:04

List Question

Extreme value theorem, without Heine Borel.

Finding all solutions to $x^2+y^2=2010$

Did I solve exercise 4.5.4 (b) of 'How to Prove it' by velleman correctly and concisely?

What is the most unusual proof you know that $\sqrt{2}$ is irrational?

Clever proofs that prove one identity is equal to another, without going through the original identity?

Proving a formula using another formula

Proof Verification for Putnam Problem [Alternate Solution] 1997 A4

$\frac{1}{{9\choose r}} -\frac{1}{{10\choose r}} = \frac{11}{6{11\choose r}}$. Is there a way to find $r$ without using algebra?

Integrate $\int_{0}^{\pi/2}x\sqrt{\tan{x}}\log{(\sin{x})}\,\mathrm dx$

Show an $\arctan$ and $\arcsin$ function is constant

Parallelpiped formula induction

$\operatorname{Ext}^n$: computation verification

Alternative proof of $\cos^6{\theta}+\sin^6{\theta}=\frac{1}{8}(5+3\cos{4\theta})$

Limits without L'Hospital

Alternative way to count the number of solutions to the equation $x^2 + y^2 = -1$ over $\Bbb Z /p$

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