Question

Applications of the pigeonhole principle (strong form)

score 83 · Answer 1 · 2026-03-27 23:23:37

83

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Applications of the pigeonhole principle (strong form)

Published on 27 Mar 2026 - 23:23

score 68 · Answer 2 · 2023-02-13 19:30:48

68

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pigeonhole principle- finding a divisor

Published on 13 Feb 2023 - 19:30

score 59 · Answer 3 · 2023-02-14 20:23:18

59

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Pigeonhole proof for numbered consecutive houses

Published on 14 Feb 2023 - 20:23

score 92 · Answer 4 · 2023-02-15 18:33:56

92

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Pigeonhole Principle Checkerboard Rectangle problem

Published on 15 Feb 2023 - 18:33

score 67 · Answer 5 · 2023-02-18 17:24:39

67

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The is a round table with 60 chairs around it. 30 people come into the room and sit around the table leaving 30 chairs empty.

Published on 18 Feb 2023 - 17:24

score 72 · Answer 6 · 2023-02-22 19:55:21

72

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Restating The Pigeonhole Principle (Strong Form)

Published on 22 Feb 2023 - 19:55

score 191 · Answer 7 · 2023-02-23 21:22:04

191

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Pigeonhole to bound the number of pairs of points that are a given distance apart

Published on 23 Feb 2023 - 21:22

score 54 · Answer 8 · 2026-02-23 09:34:28

54

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If $A\subset\mathbb{N}$ has A.P.'s of length $k$ for all $k\geq 1,$ then so does $\lceil cA\rceil := \{\lceil ca\rceil:a\in A\}$ for any real $c>0.$

Published on 23 Feb 2026 - 9:34

score 198 · Answer 9 · 2023-03-02 09:31:54

198

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If $A\subset \Bbb Z$ with $|A| = n$, then there exists $t\in \Bbb Z\setminus p\Bbb Z$ such that $\phi(at/p) \le p^{-1/n}$ for all $a\in A$.

Published on 02 Mar 2023 - 9:31

score 40 · Answer 10 · 2026-03-26 03:00:20

40

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Pigeonhole coloring bound

Published on 26 Mar 2026 - 3:00

score 103 · Answer 11 · 2023-03-04 20:47:41

103

Views

Winning strategy in a pigeonhole principle related game

Published on 04 Mar 2023 - 20:47

score 119 · Answer 12 · 2026-03-28 04:34:54

119

Views

If $A\subset\mathbb{N}$ has positive upper density, $B\subset\mathbb{N}$ is infinite, does $\exists c$ such that $\vert\{c+a:a\in A\}\cap B\vert>k?$

Published on 28 Mar 2026 - 4:34

score 281 · Answer 13 · 2023-03-06 23:29:28

281

Views

Least eccentricity vertex can't have the most average distance

Published on 06 Mar 2023 - 23:29

score 50 · Answer 14 · 2023-03-10 06:07:44

50

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Minimal Exam Versions Required so no student is adjacent to the same version

Published on 10 Mar 2023 - 6:07

score 72 · Answer 15 · 2023-03-15 16:46:19

72

Views

PigeonHole proof - 8 Points Circle Radius 1

Published on 15 Mar 2023 - 16:46

List Question

Applications of the pigeonhole principle (strong form)

pigeonhole principle- finding a divisor

Pigeonhole proof for numbered consecutive houses

Pigeonhole Principle Checkerboard Rectangle problem

The is a round table with 60 chairs around it. 30 people come into the room and sit around the table leaving 30 chairs empty.

Restating The Pigeonhole Principle (Strong Form)

Pigeonhole to bound the number of pairs of points that are a given distance apart

If $A\subset\mathbb{N}$ has A.P.'s of length $k$ for all $k\geq 1,$ then so does $\lceil cA\rceil := \{\lceil ca\rceil:a\in A\}$ for any real $c>0.$

If $A\subset \Bbb Z$ with $|A| = n$, then there exists $t\in \Bbb Z\setminus p\Bbb Z$ such that $\phi(at/p) \le p^{-1/n}$ for all $a\in A$.

Pigeonhole coloring bound

Winning strategy in a pigeonhole principle related game

If $A\subset\mathbb{N}$ has positive upper density, $B\subset\mathbb{N}$ is infinite, does $\exists c$ such that $\vert\{c+a:a\in A\}\cap B\vert>k?$

Least eccentricity vertex can't have the most average distance

Minimal Exam Versions Required so no student is adjacent to the same version

PigeonHole proof - 8 Points Circle Radius 1

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