Question

Proof verification: If $xy=x^{-1}y^{-1}$ for all $x,y\in G$, then $G$ is abelian.

score 1.4k · Answer 1 · 2026-03-24 22:07:37

1.4k

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Proof verification: If $xy=x^{-1}y^{-1}$ for all $x,y\in G$, then $G$ is abelian.

Published on 24 Mar 2026 - 22:07

score 336 · Answer 2 · 2026-03-22 09:42:06

336

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Exercise 3.2(c) of Do Carmo's Riemannian Geometry.

Published on 22 Mar 2026 - 9:42

score 49 · Answer 3 · 2026-03-17 12:54:19

49

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Matrix Homogeneous Differential Equation - check answer

Published on 17 Mar 2026 - 12:54

score 362 · Answer 4 · 2018-01-29 14:05:13

362

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Linear system with non-square matrix

Published on 29 Jan 2018 - 14:05

score 820 · Answer 5 · 2026-03-24 22:16:05

820

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Proof verification: The degree of a splitting field of a polynomial $f$ divides deg($f$) factorial

Published on 24 Mar 2026 - 22:16

score 53 · Answer 6 · 2018-01-29 22:15:21

53

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Prove $\lim_{n\to\infty}\frac{1}{\sqrt[3]{n}}=0.$ using the definition

Published on 29 Jan 2018 - 22:15

score 134 · Answer 7 · 2018-01-30 06:15:54

Given sequence of nested intervals $I_n[a_n,b_n]$. Show that if $y=\inf\{b_{1},b_{2},b_{3},\ldots\}$ then $y\in[a_{n},b_{n}]$ $\forall n$

score 1.1k · Answer 8 · 2018-01-30 06:36:31

1.1k

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Proof on order of element of cyclic group must divide the order of the group.

Published on 30 Jan 2018 - 6:36

score 79 · Answer 9 · 2018-01-30 08:27:13

79

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Prove $\lim_{n\to\infty} 5^{\frac{1}{n}}=1$

Published on 30 Jan 2018 - 8:27

score 1.2k · Answer 10 · 2026-03-24 03:59:21

1.2k

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Prove $f$ is a polynomial if the $n$th derivative vanishes

Published on 24 Mar 2026 - 3:59

score 594 · Answer 11 · 2026-03-22 00:07:24

594

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Implications of $T(u+v)$ when $u$ and $v$ are eigenvectors

Published on 22 Mar 2026 - 0:07

score 1.4k · Answer 12 · 2026-03-25 14:12:47

1.4k

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Alternative proof to Rudin's "any intersection of closed sets is closed"

Published on 25 Mar 2026 - 14:12

score 66 · Answer 13 · 2018-01-30 19:06:56

66

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Linear Algebra - Matrix Inverse

Published on 30 Jan 2018 - 19:06

score 239 · Answer 14 · 2018-01-30 19:38:36

239

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Proof that $\lim_{n\to\infty} \frac{1}{x_n}$= $\frac{1}{L}$

Published on 30 Jan 2018 - 19:38

score 1.2k · Answer 15 · 2018-01-30 21:15:41

1.2k

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Proof verification: lower semi continuous at x implies that the lim inf of every convergent sequence is bigger than f(x)

Published on 30 Jan 2018 - 21:15

List Question

Proof verification: If $xy=x^{-1}y^{-1}$ for all $x,y\in G$, then $G$ is abelian.

Exercise 3.2(c) of Do Carmo's Riemannian Geometry.

Matrix Homogeneous Differential Equation - check answer

Linear system with non-square matrix

Proof verification: The degree of a splitting field of a polynomial $f$ divides deg($f$) factorial

Prove $\lim_{n\to\infty}\frac{1}{\sqrt[3]{n}}=0.$ using the definition

Given sequence of nested intervals $I_n[a_n,b_n]$. Show that if $y=\inf\{b_{1},b_{2},b_{3},\ldots\}$ then $y\in[a_{n},b_{n}]$ $\forall n$

Proof on order of element of cyclic group must divide the order of the group.

Prove $\lim_{n\to\infty} 5^{\frac{1}{n}}=1$

Prove $f$ is a polynomial if the $n$th derivative vanishes

Implications of $T(u+v)$ when $u$ and $v$ are eigenvectors

Alternative proof to Rudin's "any intersection of closed sets is closed"

Linear Algebra - Matrix Inverse

Proof that $\lim_{n\to\infty} \frac{1}{x_n}$= $\frac{1}{L}$

Proof verification: lower semi continuous at x implies that the lim inf of every convergent sequence is bigger than f(x)

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