Question

Proof that a bounded, increasing sequences converge to their supremums

score 74 · Answer 1 · 2018-06-10 19:51:08

74

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Proof that a bounded, increasing sequences converge to their supremums

Published on 10 Jun 2018 - 19:51

score 459 · Answer 2 · 2026-03-26 14:35:07

459

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Calculation of $ \int\limits_{-\pi}^\pi \cos^4(x)dx$ using Fourier series of $\cos^2(x)$

Published on 26 Mar 2026 - 14:35

score 262 · Answer 3 · 2026-03-25 16:09:39

262

Views

Prove if $G$ is an abelian group, then $q(x) = x^2$ defines a homomorphism from $G$ into $G$. Is $q$ ever an isomorphism?

Published on 25 Mar 2026 - 16:09

score 102 · Answer 4 · 2026-03-27 10:13:01

102

Views

How can you prove $1^3 + 2^3+\cdots+(n-1)^3 < \frac{n^4}{4} < 1^3 + 2^3 + \cdots + n^3$ by induction?

Published on 27 Mar 2026 - 10:13

score 820 · Answer 5 · 2026-03-25 12:15:09

820

Views

That a sequence is Cauchy implies it's bounded.

Published on 25 Mar 2026 - 12:15

score 102 · Answer 6 · 2026-03-25 12:55:19

102

Views

Possible mistake in proof of limit?

Published on 25 Mar 2026 - 12:55

score 109 · Answer 7 · 2026-03-25 22:23:43

109

Views

How can I understand the proof of integer divisibility?

Published on 25 Mar 2026 - 22:23

score 2.5k · Answer 8 · 2026-03-25 16:08:37

2.5k

Views

Proof for Moore-Penrose inverse of transposed matrix

Published on 25 Mar 2026 - 16:08

score 3.6k · Answer 9 · 2026-03-25 12:13:56

3.6k

Views

Convergent $\implies$ Cauchy.

Published on 25 Mar 2026 - 12:13

score 51 · Answer 10 · 2026-03-30 02:05:45

51

Views

Proof about sequences and $\epsilon-$ inequalities in a compact set $X$

Published on 30 Mar 2026 - 2:05

score 410 · Answer 11 · 2018-06-14 01:33:52

410

Views

Proofs with implication statement logic for linear algebra

Published on 14 Jun 2018 - 1:33

score 346 · Answer 12 · 2018-06-14 22:38:11

346

Views

Proving a sequence of random variables satisfies the weak law of large numbers

Published on 14 Jun 2018 - 22:38

score 227 · Answer 13 · 2018-06-14 22:44:22

227

Views

Why $(y-\overline y)^t[f(x)-f(\overline x)]\ge-\Vert y-\overline y\Vert\Vert f(x)-f(\overline x)\Vert$?

Published on 14 Jun 2018 - 22:44

score 1.6k · Answer 14 · 2018-06-15 07:36:09

1.6k

Views

Understanding this proof for $\sin(a+b)=\sin(a)\cos(b)+\sin(b)\cos(a)$ from Gelfand

Published on 15 Jun 2018 - 7:36

score 70 · Answer 15 · 2026-03-25 03:02:56

70

Views

Why are the solutions of the $3\times 3$ system like that?

Published on 25 Mar 2026 - 3:02

List Question

Proof that a bounded, increasing sequences converge to their supremums

Calculation of $ \int\limits_{-\pi}^\pi \cos^4(x)dx$ using Fourier series of $\cos^2(x)$

Prove if $G$ is an abelian group, then $q(x) = x^2$ defines a homomorphism from $G$ into $G$. Is $q$ ever an isomorphism?

How can you prove $1^3 + 2^3+\cdots+(n-1)^3 < \frac{n^4}{4} < 1^3 + 2^3 + \cdots + n^3$ by induction?

That a sequence is Cauchy implies it's bounded.

Possible mistake in proof of limit?

How can I understand the proof of integer divisibility?

Proof for Moore-Penrose inverse of transposed matrix

Convergent $\implies$ Cauchy.

Proof about sequences and $\epsilon-$ inequalities in a compact set $X$

Proofs with implication statement logic for linear algebra

Proving a sequence of random variables satisfies the weak law of large numbers

Why $(y-\overline y)^t[f(x)-f(\overline x)]\ge-\Vert y-\overline y\Vert\Vert f(x)-f(\overline x)\Vert$?

Understanding this proof for $\sin(a+b)=\sin(a)\cos(b)+\sin(b)\cos(a)$ from Gelfand

Why are the solutions of the $3\times 3$ system like that?

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