Question

Proof verification: Baby Rudin Chapter 5 Exercise 11

score 332 · Answer 1 · 2026-05-01 15:18:27

332

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Proof verification: Baby Rudin Chapter 5 Exercise 11

Published on 01 May 2026 - 15:18

score 1.8k · Answer 2 · 2026-05-01 16:33:17

1.8k

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Prove or disprove the following: If $n^3 − 5$ is an odd integer, then $n$ is even.

Published on 01 May 2026 - 16:33

score 163 · Answer 3 · 2026-04-14 18:28:43

163

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How is the ideal $(x,y)$ isomorphic to $k[x, y]$ as $k[x, y]$-modules?

Published on 14 Apr 2026 - 18:28

score 195 · Answer 4 · 2026-04-17 10:26:24

195

Views

Rudin proof for compact subsets $\{ K_{\alpha} \}$ (theorem 2.36) — Contrapositive or contradiction?

Published on 17 Apr 2026 - 10:26

score 116 · Answer 5 · 2026-04-10 04:20:29

116

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The reversibility of matrix multiplication problem in a proof by indution question about matrix raised to the nth power

Published on 10 Apr 2026 - 4:20

score 91 · Answer 6 · 2026-04-17 09:03:03

91

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Prove $n+\left(-1\right)^n\ge \frac{n}{2}$ is true for $n\ge 2$ using induction

Published on 17 Apr 2026 - 9:03

score 98 · Answer 7 · 2026-04-17 03:27:31

98

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$2^{3^{n}}+1=(2+1)\left(2^{2}-2+1\right)\left(2^{2 \cdot 3}-2^{3}+1\right) \cdots\left(2^{2 \cdot 3^{n-1}}-2^{3^{n-1}}+1\right)$

Published on 17 Apr 2026 - 3:27

score 146 · Answer 8 · 2026-04-16 06:55:44

146

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A doubt about Theorem 22 in textbook Algebra by Saunders MacLane and Garrett Birkhoff

Published on 16 Apr 2026 - 6:55

score 359 · Answer 9 · 2026-04-17 15:49:42

359

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Bayesian statistics notation: "$P(\text{event}|x)$" vs "$P(\text{event}|\theta, x)$"

Published on 17 Apr 2026 - 15:49

score 474 · Answer 10 · 2026-05-01 20:05:19

474

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Let $f:A \rightarrow B$ be a bijective map, and let $P,Q \subseteq A$ be any sets. Then $f(P-Q)=f(P)-f(Q)$

Published on 01 May 2026 - 20:05

score 30 · Answer 11 · 2026-04-13 04:29:27

30

Views

Given two polynomials, determine two other degrees through polynomial division

Published on 13 Apr 2026 - 4:29

score 128 · Answer 12 · 2026-03-25 22:06:32

128

Views

Question about the proof of Theorem 14 of Hoffman and Kunze

Published on 25 Mar 2026 - 22:06

score 100 · Answer 13 · 2026-04-15 06:25:56

100

Views

Proof verification that $t(n+1)=t(n) + \pi$ using mathematical induction

Published on 15 Apr 2026 - 6:25

score 112 · Answer 14 · 2026-04-14 14:26:51

112

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If $p$ is not a limit point of $E$, then it has a neighborhood with at most 1 point of $E$ — why at most 1 point?

Published on 14 Apr 2026 - 14:26

score 89 · Answer 15 · 2026-05-10 20:54:03

89

Views

Understanding a proof about mapping properties of Klein's modular function $J$ (Apostol's "Modular Functions and Dirichlet Series in Number Theory")

Published on 10 May 2026 - 20:54

List Question

Proof verification: Baby Rudin Chapter 5 Exercise 11

Prove or disprove the following: If $n^3 − 5$ is an odd integer, then $n$ is even.

How is the ideal $(x,y)$ isomorphic to $k[x, y]$ as $k[x, y]$-modules?

Rudin proof for compact subsets $\{ K_{\alpha} \}$ (theorem 2.36) — Contrapositive or contradiction?

The reversibility of matrix multiplication problem in a proof by indution question about matrix raised to the nth power

Prove $n+\left(-1\right)^n\ge \frac{n}{2}$ is true for $n\ge 2$ using induction

$2^{3^{n}}+1=(2+1)\left(2^{2}-2+1\right)\left(2^{2 \cdot 3}-2^{3}+1\right) \cdots\left(2^{2 \cdot 3^{n-1}}-2^{3^{n-1}}+1\right)$

A doubt about Theorem 22 in textbook Algebra by Saunders MacLane and Garrett Birkhoff

Bayesian statistics notation: "$P(\text{event}|x)$" vs "$P(\text{event}|\theta, x)$"

Let $f:A \rightarrow B$ be a bijective map, and let $P,Q \subseteq A$ be any sets. Then $f(P-Q)=f(P)-f(Q)$

Given two polynomials, determine two other degrees through polynomial division

Question about the proof of Theorem 14 of Hoffman and Kunze

Proof verification that $t(n+1)=t(n) + \pi$ using mathematical induction

If $p$ is not a limit point of $E$, then it has a neighborhood with at most 1 point of $E$ — why at most 1 point?

Understanding a proof about mapping properties of Klein's modular function $J$ (Apostol's "Modular Functions and Dirichlet Series in Number Theory")

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