Question

Prove that if $G$ is a group of order $39$ then $G$ has a subgroup of order $3$

score 520 · Answer 1 · 2015-12-18 22:48:01

520

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Prove that if $G$ is a group of order $39$ then $G$ has a subgroup of order $3$

Published on 18 Dec 2015 - 22:48

score 2k · Answer 2 · 2026-04-08 05:56:34

2k

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How to Prove the Chain Rule for Limits Using a $\varepsilon$-$\delta$ Argument?

Published on 08 Apr 2026 - 5:56

score 141 · Answer 3 · 2015-12-20 23:46:48

141

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Tangent identity given $a + b + c = \pi$

Published on 20 Dec 2015 - 23:46

score 192 · Answer 4 · 2015-12-25 00:16:08

192

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How do i evaluate this sum :$\sum _{m=1}^{\infty } \sum _{k=1}^{\infty } \frac{m(-1)^m(-1)^k\log(m+k)}{(m+k)^3}$?

Published on 25 Dec 2015 - 0:16

score 224 · Answer 5 · 2015-12-26 16:51:24

224

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Prove that $\lim_{n\to\infty}a_n\le \lim_{n\to\infty}b_n$

Published on 26 Dec 2015 - 16:51

score 68 · Answer 6 · 2015-12-26 21:15:13

68

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Verify proof of $\sum_{k=1}^{n}{k^{-1/2}}<2\sqrt{n}$ for every $n\ge1$

Published on 26 Dec 2015 - 21:15

score 3.8k · Answer 7 · 2026-03-30 08:23:54

3.8k

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A real symmetric matrix $A$ positive definite if all its eigenvalues are positive

Published on 30 Mar 2026 - 8:23

score 864 · Answer 8 · 2015-12-26 23:29:46

864

Views

Better proof for $\frac{1+\cos x + \sin x}{1 - \cos x + \sin x} \equiv \frac{1+\cos x}{\sin x}$

Published on 26 Dec 2015 - 23:29

score 7.5k · Answer 9 · 2015-12-27 23:57:23

7.5k

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A Scalar times the Zero Vector

Published on 27 Dec 2015 - 23:57

score 155 · Answer 10 · 2015-12-28 01:00:08

155

Views

Proof for $ \frac{2}{\pi}x \lt \sin{x} $ for $ x \in (0,\frac{\pi}2) $

Published on 28 Dec 2015 - 1:00

score 1.6k · Answer 11 · 2026-03-27 08:57:31

1.6k

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Alternative way to show that a simple group of order $60$ can not have a cyclic subgroup of order $6$

Published on 27 Mar 2026 - 8:57

score 508 · Answer 12 · 2015-12-29 16:03:43

508

Views

Isomorphism of Non-Symmetric Matrices

Published on 29 Dec 2015 - 16:03

score 326 · Answer 13 · 2026-03-27 22:57:42

326

Views

Verify proof that if $M,N$ are $R$-modules and $M$ is Noetherian, $N$ is finitely generated, then $M\otimes_R N$ is Noetherian

Published on 27 Mar 2026 - 22:57

score 474 · Answer 14 · 2026-04-02 06:06:52

474

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Dummit and Foote exercise verification?

Published on 02 Apr 2026 - 6:06

score 542 · Answer 15 · 2016-01-05 01:37:46

542

Views

Proving finite additivity for this semi-algebra (infinite coin flips)

Published on 05 Jan 2016 - 1:37

List Question

Prove that if $G$ is a group of order $39$ then $G$ has a subgroup of order $3$

How to Prove the Chain Rule for Limits Using a $\varepsilon$-$\delta$ Argument?

Tangent identity given $a + b + c = \pi$

How do i evaluate this sum :$\sum _{m=1}^{\infty } \sum _{k=1}^{\infty } \frac{m(-1)^m(-1)^k\log(m+k)}{(m+k)^3}$?

Prove that $\lim_{n\to\infty}a_n\le \lim_{n\to\infty}b_n$

Verify proof of $\sum_{k=1}^{n}{k^{-1/2}}<2\sqrt{n}$ for every $n\ge1$

A real symmetric matrix $A$ positive definite if all its eigenvalues are positive

Better proof for $\frac{1+\cos x + \sin x}{1 - \cos x + \sin x} \equiv \frac{1+\cos x}{\sin x}$

A Scalar times the Zero Vector

Proof for $ \frac{2}{\pi}x \lt \sin{x} $ for $ x \in (0,\frac{\pi}2) $

Alternative way to show that a simple group of order $60$ can not have a cyclic subgroup of order $6$

Isomorphism of Non-Symmetric Matrices

Verify proof that if $M,N$ are $R$-modules and $M$ is Noetherian, $N$ is finitely generated, then $M\otimes_R N$ is Noetherian

Dummit and Foote exercise verification?

Proving finite additivity for this semi-algebra (infinite coin flips)

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