Question

What is the probability that balls left are white?

score 403 · Answer 1 · 2020-07-23 05:42:55

403

Views

What is the probability that balls left are white?

Published on 23 Jul 2020 - 5:42

score 350 · Answer 2 · 2020-07-23 06:34:45

350

Views

Simple proof there is no continuous bijection from $\mathbb{R}^n$ onto $[0,1]^m$

Published on 23 Jul 2020 - 6:34

score 175 · Answer 3 · 2026-03-25 12:49:57

175

Views

Proving $\frac {a}{a+b}+\frac{b}{b+c}+\frac{c}{c+a} \geqslant \frac 32 \cdot \sqrt[6]{\frac{ab+bc+ca}{a^2+b^2+c^2}}$

Published on 25 Mar 2026 - 12:49

score 129 · Answer 4 · 2026-04-02 04:38:37

129

Views

geometric derivation of formulas for conic sections from a double cone

Published on 02 Apr 2026 - 4:38

score 50 · Answer 5 · 2020-07-30 02:00:42

50

Views

Prove $\lim_{x \to a} \Re f(x) = \Re A$ and $\lim_{x \to a} \Im f(x) = \Im A$

Published on 30 Jul 2020 - 2:00

score 1.4k · Answer 6 · 2016-07-05 22:41:55

1.4k

Views

Prove that determinant of a 2x2 symmetric positive definite matrix is positive by "completing the square" method.

Published on 05 Jul 2016 - 22:41

score 424 · Answer 7 · 2016-07-06 14:57:10

424

Views

How to show a set is compact using sequential compactness definition?

Published on 06 Jul 2016 - 14:57

score 137 · Answer 8 · 2016-07-07 05:41:09

137

Views

If $f:X\to Y$ is continuous and $X$ is a totally bounded metric space, is $f(X)$ also bounded?

Published on 07 Jul 2016 - 5:41

score 198 · Answer 9 · 2026-02-23 12:04:14

198

Views

Is this collection of function uniformly equicontinuous? Hints on the proof.

Published on 23 Feb 2026 - 12:04

score 108 · Answer 10 · 2016-07-10 20:22:54

108

Views

Equivalence of pretopological continuity to customary continuity (a direct proof)

Published on 10 Jul 2016 - 20:22

score 81 · Answer 11 · 2016-07-12 04:38:10

81

Views

Proof verification: $f(x) \le g(x) \implies \lim_{x\to a}f(x) \le \lim_{x\to a}g(x)$

Published on 12 Jul 2016 - 4:38

score 93 · Answer 12 · 2026-03-26 19:05:22

93

Views

Hints on showing that a metric space is complete

Published on 26 Mar 2026 - 19:05

score 2.2k · Answer 13 · 2016-07-12 12:44:55

2.2k

Views

every tree $T$ has at most one perfect matching, alternative proof

Published on 12 Jul 2016 - 12:44

score 673 · Answer 14 · 2016-07-12 20:33:41

673

Views

How do you prove that any two integers will always have a greatest common divisor?

Published on 12 Jul 2016 - 20:33

score 1.8k · Answer 15 · 2016-07-15 21:12:38

1.8k

Views

Brute force way to show that $\rho(x,y) = \min\{1, d(x,y)\}$ is a metric

Published on 15 Jul 2016 - 21:12

List Question

What is the probability that balls left are white?

Simple proof there is no continuous bijection from $\mathbb{R}^n$ onto $[0,1]^m$

Proving $\frac {a}{a+b}+\frac{b}{b+c}+\frac{c}{c+a} \geqslant \frac 32 \cdot \sqrt[6]{\frac{ab+bc+ca}{a^2+b^2+c^2}}$

geometric derivation of formulas for conic sections from a double cone

Prove $\lim_{x \to a} \Re f(x) = \Re A$ and $\lim_{x \to a} \Im f(x) = \Im A$

Prove that determinant of a 2x2 symmetric positive definite matrix is positive by "completing the square" method.

How to show a set is compact using sequential compactness definition?

If $f:X\to Y$ is continuous and $X$ is a totally bounded metric space, is $f(X)$ also bounded?

Is this collection of function uniformly equicontinuous? Hints on the proof.

Equivalence of pretopological continuity to customary continuity (a direct proof)

Proof verification: $f(x) \le g(x) \implies \lim_{x\to a}f(x) \le \lim_{x\to a}g(x)$

Hints on showing that a metric space is complete

every tree $T$ has at most one perfect matching, alternative proof

How do you prove that any two integers will always have a greatest common divisor?

Brute force way to show that $\rho(x,y) = \min\{1, d(x,y)\}$ is a metric

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