List questions from alternative-proof

Published on 31 Aug 2018 - 17:04

399

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How show that $\sum_{j=0}^\infty \frac{(-1)^j\binom{\frac12}{j}}{{2j+1}}=\frac{\pi}4$

Published on 01 Sep 2018 - 11:29

45

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Alternative proof for chains

Published on 26 Mar 2026 - 6:11

5.6k

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Proof of Laplace transform of real number powers: $\mathcal{L} \{ t^n \} = \frac{n!}{s^{n + 1}}$

Published on 03 Sep 2018 - 3:16

55

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Geometrical proof of the impossibility of angle trisection by straightedge and compass

Published on 25 Mar 2026 - 1:38

91

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Congruence equation for distinct primes $p,q$.

Published on 03 Sep 2018 - 9:02

94

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Is there a combinatorial proof of this recurrence relation for families of sets thus defined?

Published on 03 Sep 2018 - 16:24

227

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"Every convergent sequence is bounded" and the choice of epsilon

Published on 04 Sep 2018 - 11:01

39

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Alternate way to show these two integrals are the same

Published on 04 Sep 2018 - 22:50

991

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proof that $[0,1]$ is compact

Published on 06 Sep 2018 - 17:43

256

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Calculus Circle Related rates circle proof

Published on 06 Sep 2018 - 23:48

198

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Does this prove the Inscribed Rectangle/Square Theorem?

Published on 19 Mar 2026 - 20:33

1k

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Prove by induction that $\sum_{n=1}^\infty \frac{1}{2^n} = 1$

Published on 07 Sep 2018 - 13:23

682

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Alternative proof for subbasis for order topology and product topology: Finite intersections of elements of $\mathscr S$ is a basis

Published on 25 Mar 2026 - 6:06

261

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Dynamical systems proofs wanted

Published on 08 Sep 2018 - 15:37

List Question

What is the relation between 'the order of $x^k = n/{\gcd(k,n)}$' and Lagrange's Theorem?

How show that $\sum_{j=0}^\infty \frac{(-1)^j\binom{\frac12}{j}}{{2j+1}}=\frac{\pi}4$

Alternative proof for chains

Proof of Laplace transform of real number powers: $\mathcal{L} \{ t^n \} = \frac{n!}{s^{n + 1}}$

Geometrical proof of the impossibility of angle trisection by straightedge and compass

Congruence equation for distinct primes $p,q$.

Is there a combinatorial proof of this recurrence relation for families of sets thus defined?

"Every convergent sequence is bounded" and the choice of epsilon

Alternate way to show these two integrals are the same

proof that $[0,1]$ is compact

Calculus Circle Related rates circle proof

Does this prove the Inscribed Rectangle/Square Theorem?

Prove by induction that $\sum_{n=1}^\infty \frac{1}{2^n} = 1$

Alternative proof for subbasis for order topology and product topology: Finite intersections of elements of $\mathscr S$ is a basis

Dynamical systems proofs wanted

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