List questions from alternative-proof

Published on 15 Apr 2026 - 23:42

402

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

Published on 16 Apr 2026 - 5:12

47

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Alternative proof for chains

Published on 09 Apr 2026 - 23:32

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 15 Apr 2026 - 12:20

60

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

Published on 10 May 2026 - 17:18

94

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Congruence equation for distinct primes $p,q$.

Published on 15 Apr 2026 - 8:35

97

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

Published on 12 Apr 2026 - 10:47

230

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

Published on 14 Apr 2026 - 18:40

42

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Alternate way to show these two integrals are the same

Published on 13 Apr 2026 - 5:57

994

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proof that $[0,1]$ is compact

Published on 12 Apr 2026 - 15:56

259

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Calculus Circle Related rates circle proof

Published on 15 Apr 2026 - 15:49

205

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Does this prove the Inscribed Rectangle/Square Theorem?

Published on 29 Apr 2026 - 12:18

1k

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

Published on 14 Apr 2026 - 23:22

685

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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 10 May 2026 - 15:10

264

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Dynamical systems proofs wanted

Published on 11 Apr 2026 - 3:53

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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