Question

Is there an essential difference between Cartwright's and Niven's proofs of the irrationality of $\pi$?

score 379 · Answer 1 · 2026-03-14 13:24:48

379

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Is there an essential difference between Cartwright's and Niven's proofs of the irrationality of $\pi$?

Published on 14 Mar 2026 - 13:24

score 1.5k · Answer 2 · 2018-01-25 05:24:58

1.5k

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Proof of cancellation law for vector addition

Published on 25 Jan 2018 - 5:24

score 234 · Answer 3 · 2018-01-25 09:30:05

234

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(Conway's Functional Analysis) Why can we assume that $\bigcap_{j\neq k}ker(f_j) \neq \bigcap_{j=1}^n ker(f_j).$

Published on 25 Jan 2018 - 9:30

score 66 · Answer 4 · 2026-03-25 01:34:53

66

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Why does this case lead to a contradiction?

Published on 25 Mar 2026 - 1:34

score 78 · Answer 5 · 2026-03-25 01:37:49

78

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What is the common left inverse of these parallel arrows?

Published on 25 Mar 2026 - 1:37

score 534 · Answer 6 · 2018-01-25 19:01:08

534

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Stuck in Tao’s proof for Kolmogorov extension theorem

Published on 25 Jan 2018 - 19:01

score 55 · Answer 7 · 2018-01-25 19:10:44

55

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Doubts in proof of FTA (Fundamental Theorem of Arithmetic)

Published on 25 Jan 2018 - 19:10

score 43 · Answer 8 · 2026-03-22 01:40:32

43

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Subset Relationship Proof

Published on 22 Mar 2026 - 1:40

score 780 · Answer 9 · 2026-03-17 05:28:36

780

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Proving that a sequence converges to L

Published on 17 Mar 2026 - 5:28

score 385 · Answer 10 · 2026-03-24 23:48:07

385

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Proof of theorem 7.7.1. in Lars Hormander's "The Analysis of Linear Partial Differential Operators I"

Published on 24 Mar 2026 - 23:48

score 22 · Answer 11 · 2018-01-26 06:12:57

If $ V $ is any set open in $ \prod_{\alpha} Y_{\alpha} $, then $ p_{\alpha} (V) = Y_{\alpha} $ for all but at most finitely many $ \alpha $

score 1.3k · Answer 12 · 2026-03-24 02:16:23

1.3k

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If X satisfies the first or second countability axiom then $F(X)$ satisfies the same condition.

Published on 24 Mar 2026 - 2:16

score 1.9k · Answer 13 · 2026-03-17 17:50:53

1.9k

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Prove that $\overline S$ is not path connected, where $S=\{x\times \sin(\frac1x):x\in(0,1]\}$

Published on 17 Mar 2026 - 17:50

score 77 · Answer 14 · 2018-01-26 14:50:08

77

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A Proof in Combinatorics

Published on 26 Jan 2018 - 14:50

score 1.1k · Answer 15 · 2026-03-20 12:05:40

1.1k

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$ \prod_{j \in J} X_{j} $ is locally connected if, and only if, each $ X_{j} $ is locally connected ...

Published on 20 Mar 2026 - 12:05

List Question

Is there an essential difference between Cartwright's and Niven's proofs of the irrationality of $\pi$?

Proof of cancellation law for vector addition

(Conway's Functional Analysis) Why can we assume that $\bigcap_{j\neq k}ker(f_j) \neq \bigcap_{j=1}^n ker(f_j).$

Why does this case lead to a contradiction?

What is the common left inverse of these parallel arrows?

Stuck in Tao’s proof for Kolmogorov extension theorem

Doubts in proof of FTA (Fundamental Theorem of Arithmetic)

Subset Relationship Proof

Proving that a sequence converges to L

Proof of theorem 7.7.1. in Lars Hormander's "The Analysis of Linear Partial Differential Operators I"

If $ V $ is any set open in $ \prod_{\alpha} Y_{\alpha} $, then $ p_{\alpha} (V) = Y_{\alpha} $ for all but at most finitely many $ \alpha $

If X satisfies the first or second countability axiom then $F(X)$ satisfies the same condition.

Prove that $\overline S$ is not path connected, where $S=\{x\times \sin(\frac1x):x\in(0,1]\}$

A Proof in Combinatorics

$ \prod_{j \in J} X_{j} $ is locally connected if, and only if, each $ X_{j} $ is locally connected ...

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