Question

Expected length of longest stick

score 1.8k · Answer 1 · 2018-06-14 15:46:10

1.8k

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Expected length of longest stick

Published on 14 Jun 2018 - 15:46

score 68 · Answer 2 · 2026-03-29 04:41:28

68

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Show that $M_{n}(R)/M_{n}(I)\cong M_{n}(R/I)$

Published on 29 Mar 2026 - 4:41

score 118 · Answer 3 · 2026-04-01 11:04:47

118

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Show that $f : \mathbb{R}^n \setminus \{0\} \to \mathbb{R}^n$ defined by $f(x) = \frac{x}{|x|}$ is continuous and the image is a sphere

Published on 01 Apr 2026 - 11:04

score 163 · Answer 4 · 2018-06-15 01:51:30

163

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Prove that if $v_{p} \notin \text{span}(S_k)$ then $S_{p} = S_k \cup\{v_{p}\}$ is linearly independent.

Published on 15 Jun 2018 - 1:51

score 2.5k · Answer 5 · 2026-03-30 14:26:41

2.5k

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Showing preimage of any subspace of $U$ is a subspace of $V$.

Published on 30 Mar 2026 - 14:26

score 204 · Answer 6 · 2026-03-25 12:46:30

204

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Harmonic function with condition $\lim_{y\to\infty}u(x,y)=0$

Published on 25 Mar 2026 - 12:46

score 502 · Answer 7 · 2026-03-25 12:20:41

502

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Why does the law of distributivity use the distributive property to prove it exists?

Published on 25 Mar 2026 - 12:20

score 6.4k · Answer 8 · 2026-03-25 06:04:16

6.4k

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Maximize $f(x,y)=xy$ subject to $x^2-yx+y^2 = 1$

Published on 25 Mar 2026 - 6:04

score 477 · Answer 9 · 2026-03-25 21:48:54

477

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Integral $\int_0^{\pi} \frac{\cos(2018x)}{5-4\cos{x}}dx$

Published on 25 Mar 2026 - 21:48

score 52 · Answer 10 · 2026-03-27 07:14:56

52

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A condition for a function of the form $\langle x, F(x)\rangle$ to attain its minimum

Published on 27 Mar 2026 - 7:14

score 299 · Answer 11 · 2018-06-15 08:30:16

299

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Prob. 9, Exercises 8.14, in Apostol's CALCULUS Vol II: If the derivatives of a scalar field on an open ball vanish in $n$ independent directions,

Published on 15 Jun 2018 - 8:30

score 177 · Answer 12 · 2026-03-26 14:26:16

177

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elementary combinatorial exam allocation problem

Published on 26 Mar 2026 - 14:26

score 350 · Answer 13 · 2018-06-15 12:51:53

350

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Prob. 10, Exercises 8.14, in Apostol's CALCULUS Vol II: If the gradient of a differentiable scalar field is zero on an open ball, . . .

Published on 15 Jun 2018 - 12:51

score 195 · Answer 14 · 2026-03-31 10:15:38

195

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How to prove that if a graph and its complement graph are trees then there're $4$ vertices in the vertex set of the graphs?

Published on 31 Mar 2026 - 10:15

score 152 · Answer 15 · 2026-03-28 16:21:29

152

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Sphere in $C^3$ is not compact?

Published on 28 Mar 2026 - 16:21

List Question

Expected length of longest stick

Show that $M_{n}(R)/M_{n}(I)\cong M_{n}(R/I)$

Show that $f : \mathbb{R}^n \setminus \{0\} \to \mathbb{R}^n$ defined by $f(x) = \frac{x}{|x|}$ is continuous and the image is a sphere

Prove that if $v_{p} \notin \text{span}(S_k)$ then $S_{p} = S_k \cup\{v_{p}\}$ is linearly independent.

Showing preimage of any subspace of $U$ is a subspace of $V$.

Harmonic function with condition $\lim_{y\to\infty}u(x,y)=0$

Why does the law of distributivity use the distributive property to prove it exists?

Maximize $f(x,y)=xy$ subject to $x^2-yx+y^2 = 1$

Integral $\int_0^{\pi} \frac{\cos(2018x)}{5-4\cos{x}}dx$

A condition for a function of the form $\langle x, F(x)\rangle$ to attain its minimum

Prob. 9, Exercises 8.14, in Apostol's CALCULUS Vol II: If the derivatives of a scalar field on an open ball vanish in $n$ independent directions,

elementary combinatorial exam allocation problem

Prob. 10, Exercises 8.14, in Apostol's CALCULUS Vol II: If the gradient of a differentiable scalar field is zero on an open ball, . . .

How to prove that if a graph and its complement graph are trees then there're $4$ vertices in the vertex set of the graphs?

Sphere in $C^3$ is not compact?

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