Question

In group $G$, $a^m = e$ implies $|a| \mid m$.

score 58 · Answer 1 · 2020-02-13 04:45:41

58

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In group $G$, $a^m = e$ implies $|a| \mid m$.

Published on 13 Feb 2020 - 4:45

score 53 · Answer 2 · 2020-02-13 06:14:03

53

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Exercise 2.1.15, Artin's Algebra

Published on 13 Feb 2020 - 6:14

score 229 · Answer 3 · 2020-02-13 09:01:32

229

Views

If the union of two subspaces is the vector space, then one of the subspaces is the vector space Proof

Published on 13 Feb 2020 - 9:01

score 203 · Answer 4 · 2020-02-13 09:19:09

203

Views

If p is prime and $p > 2$, then $p^2+4$ is prime.

Published on 13 Feb 2020 - 9:19

score 82 · Answer 5 · 2020-02-13 15:45:03

82

Views

Proof Without The Basis Extension Theorem

Published on 13 Feb 2020 - 15:45

score 38 · Answer 6 · 2020-02-13 15:46:52

38

Views

Prove: $\lim_{x\to a}f(x)=b \iff$ Any $1-1$ sequence s.t $x_n\to a$ $f(x_n)\to b$

Published on 13 Feb 2020 - 15:46

score 59 · Answer 7 · 2020-02-13 16:21:33

59

Views

Is $\prod_{n=1}^\infty\delta_n=0$ for $\{\delta_n\}_{n\in\mathbb{N}}\subset(0,1)$ decreasing to $0$?

Published on 13 Feb 2020 - 16:21

score 1.1k · Answer 8 · 2020-02-13 16:33:59

1.1k

Views

Proof of the Uniqueness of Dimension of a Vector Space

Published on 13 Feb 2020 - 16:33

score 906 · Answer 9 · 2026-04-01 22:48:05

906

Views

Show that the cylindrical $\sigma$-algebra can be written into a countable union of some $\sigma$-algebra

Published on 01 Apr 2026 - 22:48

score 45 · Answer 10 · 2026-03-26 21:27:41

45

Views

Decimal repunits of order greater than 2 do not have repunits in any other base

Published on 26 Mar 2026 - 21:27

score 81 · Answer 11 · 2026-03-26 21:08:06

81

Views

Regarding point of inflection

Published on 26 Mar 2026 - 21:08

score 2.1k · Answer 12 · 2026-03-26 21:13:59

2.1k

Views

For every twice differentiable function $f : \bf R \rightarrow [–2, 2]$ with $(f(0))^2 + (f'(0))^2 = 85$, which of the following statements are TRUE?

Published on 26 Mar 2026 - 21:13

score 97 · Answer 13 · 2026-04-02 14:01:10

97

Views

How to show that $\theta(A):=A\cup\mathscr{der}(A)$ is a kuratowski operator?

Published on 02 Apr 2026 - 14:01

score 56 · Answer 14 · 2026-03-27 06:51:23

56

Views

Optional Sampling Theorem for non-positive sub-martingale

Published on 27 Mar 2026 - 6:51

score 174 · Answer 15 · 2020-02-13 22:27:33

174

Views

Equivalent definitions of continuity.

Published on 13 Feb 2020 - 22:27

List Question

In group $G$, $a^m = e$ implies $|a| \mid m$.

Exercise 2.1.15, Artin's Algebra

If the union of two subspaces is the vector space, then one of the subspaces is the vector space Proof

If p is prime and $p > 2$, then $p^2+4$ is prime.

Proof Without The Basis Extension Theorem

Prove: $\lim_{x\to a}f(x)=b \iff$ Any $1-1$ sequence s.t $x_n\to a$ $f(x_n)\to b$

Is $\prod_{n=1}^\infty\delta_n=0$ for $\{\delta_n\}_{n\in\mathbb{N}}\subset(0,1)$ decreasing to $0$?

Proof of the Uniqueness of Dimension of a Vector Space

Show that the cylindrical $\sigma$-algebra can be written into a countable union of some $\sigma$-algebra

Decimal repunits of order greater than 2 do not have repunits in any other base

Regarding point of inflection

For every twice differentiable function $f : \bf R \rightarrow [–2, 2]$ with $(f(0))^2 + (f'(0))^2 = 85$, which of the following statements are TRUE?

How to show that $\theta(A):=A\cup\mathscr{der}(A)$ is a kuratowski operator?

Optional Sampling Theorem for non-positive sub-martingale

Equivalent definitions of continuity.

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