Question

Showing the composition of invertible functions $g \circ f$ is invertible with inverse $f^{-1} \circ g^{-1}$

score 423 · Answer 1 · 2026-04-16 16:28:24

423

Views

Showing the composition of invertible functions $g \circ f$ is invertible with inverse $f^{-1} \circ g^{-1}$

Published on 16 Apr 2026 - 16:28

score 471 · Answer 2 · 2026-04-29 17:19:24

471

Views

Prove: If $p=p^+e_1$ and $q=q^+e_2$, then the relative error of the quotient...

Published on 29 Apr 2026 - 17:19

score 52 · Answer 3 · 2026-04-12 21:03:38

52

Views

Prove if $F\in\mathcal{A}$, then we have $\bigcap\mathcal{A}\subseteq F \subseteq \bigcup\mathcal{A}$

Published on 12 Apr 2026 - 21:03

score 71 · Answer 4 · 2026-04-15 04:49:35

71

Views

Proving a formula for the amount of pendant nodes in a tree

Published on 15 Apr 2026 - 4:49

score 124 · Answer 5 · 2026-04-16 00:55:45

124

Views

Group of square free order with a normal $p$-Sylow is solvable

Published on 16 Apr 2026 - 0:55

score 227 · Answer 6 · 2026-04-13 11:04:44

227

Views

Dense subset of metric spaces and how to show completion.

Published on 13 Apr 2026 - 11:04

score 177 · Answer 7 · 2026-04-17 14:44:20

177

Views

$Rx/Rax \simeq R/Ra$ whenever $\mathrm{Ann}(x)=\{0\}$

Published on 17 Apr 2026 - 14:44

score 659 · Answer 8 · 2026-04-17 11:58:55

659

Views

Prove $(\vec a \times \vec b)\times(\vec c \times \vec d)=[\vec a,\vec b, \vec d]\vec c - [\vec a, \vec b, \vec c]\vec d$

Published on 17 Apr 2026 - 11:58

score 67 · Answer 9 · 2026-04-16 12:45:33

67

Views

How is the homomorphism $b: LC_n(Y) \to LC_{n+1}(Y)$ where $b[w_0\cdots w_n] \mapsto [bw_0\cdots w_n]$ well-defined?

Published on 16 Apr 2026 - 12:45

score 41 · Answer 10 · 2026-04-15 06:32:19

41

Views

Is $g:\Bbb{R} \to \Bbb{R}, g(x)=\ln(1+|x|)$ differentiable

Published on 15 Apr 2026 - 6:32

score 604 · Answer 11 · 2026-04-15 19:52:51

604

Views

Are these answers for this predicate correct?

Published on 15 Apr 2026 - 19:52

score 158 · Answer 12 · 2026-04-13 19:03:15

158

Views

A space whose topology has a countable base is separable.

Published on 13 Apr 2026 - 19:03

score 158 · Answer 13 · 2026-04-15 04:49:47

158

Views

Let $f:\mathbb{R}\rightarrow\mathbb{R}$ be a continuous function such that $\int_{x}^{1}f(t)dt\geq(1-x)^{2}$. Prove that $f(1)=0$

Published on 15 Apr 2026 - 4:49

score 100 · Answer 14 · 2026-04-17 02:41:47

100

Views

Prove: $\frac{1}{12} + \frac{1}{23} + \frac{1}{3*4} +⋯+ \frac{1}{n(n+1)}= \frac{n}{(n+1)}$

Published on 17 Apr 2026 - 2:41

score 247 · Answer 15 · 2026-04-17 03:56:08

247

Views

Find range of $x$ satisfying $\left \lfloor \frac{3}{x} \right \rfloor+\left \lfloor \frac{4}{x} \right \rfloor=5$

Published on 17 Apr 2026 - 3:56

List Question

Showing the composition of invertible functions $g \circ f$ is invertible with inverse $f^{-1} \circ g^{-1}$

Prove: If $p=p^+e_1$ and $q=q^+e_2$, then the relative error of the quotient...

Prove if $F\in\mathcal{A}$, then we have $\bigcap\mathcal{A}\subseteq F \subseteq \bigcup\mathcal{A}$

Proving a formula for the amount of pendant nodes in a tree

Group of square free order with a normal $p$-Sylow is solvable

Dense subset of metric spaces and how to show completion.

$Rx/Rax \simeq R/Ra$ whenever $\mathrm{Ann}(x)=\{0\}$

Prove $(\vec a \times \vec b)\times(\vec c \times \vec d)=[\vec a,\vec b, \vec d]\vec c - [\vec a, \vec b, \vec c]\vec d$

How is the homomorphism $b: LC_n(Y) \to LC_{n+1}(Y)$ where $b[w_0\cdots w_n] \mapsto [bw_0\cdots w_n]$ well-defined?

Is $g:\Bbb{R} \to \Bbb{R}, g(x)=\ln(1+|x|)$ differentiable

Are these answers for this predicate correct?

A space whose topology has a countable base is separable.

Let $f:\mathbb{R}\rightarrow\mathbb{R}$ be a continuous function such that $\int_{x}^{1}f(t)dt\geq(1-x)^{2}$. Prove that $f(1)=0$

Prove: $\frac{1}{12} + \frac{1}{23} + \frac{1}{3*4} +⋯+ \frac{1}{n(n+1)}= \frac{n}{(n+1)}$

Find range of $x$ satisfying $\left \lfloor \frac{3}{x} \right \rfloor+\left \lfloor \frac{4}{x} \right \rfloor=5$

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