Question

Disjoint closed disks with summable radii

score 45 · Answer 1 · 2026-04-14 03:04:22

45

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Disjoint closed disks with summable radii

Published on 14 Apr 2026 - 3:04

score 1.5k · Answer 2 · 2026-04-16 12:29:35

1.5k

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Given any $n+2$ integers, show that there exist two of them whose sum, or else whose difference, is divisible by $2n$.

Published on 16 Apr 2026 - 12:29

score 675 · Answer 3 · 2026-04-08 22:45:59

675

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Probability machine 1 is the first to fail

Published on 08 Apr 2026 - 22:45

score 927 · Answer 4 · 2026-04-12 00:04:41

927

Views

A simple question about the proof of theorem 3.42 in Walter Rudin's "Principles of Mathematical Analysis"

Published on 12 Apr 2026 - 0:04

score 137 · Answer 5 · 2026-04-15 05:40:04

137

Views

Proving that any closed subset $U \subset \mathbb{R}$ is a countable intersection of open sets

Published on 15 Apr 2026 - 5:40

score 256 · Answer 6 · 2026-04-18 23:29:43

256

Views

Show that $\forall n \in\Bbb N: e < \left(1+{1\over n}\right)^n \left(1 + {1\over 2n}\right)$

Published on 18 Apr 2026 - 23:29

score 1.6k · Answer 7 · 2026-04-15 06:21:53

1.6k

Views

Solve the equation |x-1|=x-1

Published on 15 Apr 2026 - 6:21

score 121 · Answer 8 · 2026-04-14 00:39:54

121

Views

Proving there is only one set of positive integer solutions

Published on 14 Apr 2026 - 0:39

score 2k · Answer 9 · 2026-04-12 00:40:51

2k

Views

Proof Verification: the orthogonal complement of the column space is the left nullspace

Published on 12 Apr 2026 - 0:40

score 67 · Answer 10 · 2026-04-12 20:21:08

67

Views

Compactness of a closed subspace

Published on 12 Apr 2026 - 20:21

score 365 · Answer 11 · 2026-04-15 11:41:55

365

Views

G is the Cantor set, $X$ is a countable set of G hence G\X is dense

Published on 15 Apr 2026 - 11:41

score 281 · Answer 12 · 2026-04-16 03:15:26

281

Views

Number of permutation of $\{ 1, 2 \dots 2n\}$ with even fixpoints and relating this to derangements.

Published on 16 Apr 2026 - 3:15

score 67 · Answer 13 · 2026-04-11 05:49:28

67

Views

How do we calculate the expected value of $X^{-1}$, where $X$ has geometric distribution?

Published on 11 Apr 2026 - 5:49

score 108 · Answer 14 · 2026-04-11 01:05:42

108

Views

Proof Verification: Tricky Algebra SAT Question!

Published on 11 Apr 2026 - 1:05

score 66 · Answer 15 · 2026-04-14 23:48:57

66

Views

Does the function $f\circ g(x) = (f\circ g)(x)$ have same properties?

Published on 14 Apr 2026 - 23:48

List Question

Disjoint closed disks with summable radii

Given any $n+2$ integers, show that there exist two of them whose sum, or else whose difference, is divisible by $2n$.

Probability machine 1 is the first to fail

A simple question about the proof of theorem 3.42 in Walter Rudin's "Principles of Mathematical Analysis"

Proving that any closed subset $U \subset \mathbb{R}$ is a countable intersection of open sets

Show that $\forall n \in\Bbb N: e < \left(1+{1\over n}\right)^n \left(1 + {1\over 2n}\right)$

Solve the equation |x-1|=x-1

Proving there is only one set of positive integer solutions

Proof Verification: the orthogonal complement of the column space is the left nullspace

Compactness of a closed subspace

G is the Cantor set, $X$ is a countable set of G hence G\X is dense

Number of permutation of $\{ 1, 2 \dots 2n\}$ with even fixpoints and relating this to derangements.

How do we calculate the expected value of $X^{-1}$, where $X$ has geometric distribution?

Proof Verification: Tricky Algebra SAT Question!

Does the function $f\circ g(x) = (f\circ g)(x)$ have same properties?

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