Question

A question about the Pigeonhole Principle and linear equations over $\mathbb{Z}$

score 172 · Answer 1 · 2014-04-03 21:04:16

172

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A question about the Pigeonhole Principle and linear equations over $\mathbb{Z}$

Published on 03 Apr 2014 - 21:04

score 1k · Answer 2 · 2014-04-03 23:53:30

1k

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Collection of numbers always in increasing or decreasing order

Published on 03 Apr 2014 - 23:53

score 32.7k · Answer 3 · 2014-04-06 10:17:16

Pigeonhole Principle Question: Given any 5 points inside a square of side length 2, there is always a pair whose distance apart is at most $\sqrt2$

score 1.1k · Answer 4 · 2014-04-15 20:11:38

1.1k

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Show that two points from four are at a distance $\leq \sqrt{3}$ in an equilateral triangle.

Published on 15 Apr 2014 - 20:11

score 5.3k · Answer 5 · 2014-04-21 07:29:55

5.3k

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Selecting from $\{1,2,3,4,5,6,7,8,9\}$ to guarantee at least one pair adds to $10$

Published on 21 Apr 2014 - 7:29

score 3.7k · Answer 6 · 2014-04-26 07:04:46

3.7k

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Prove two numbers of a set will evenly divide the other

Published on 26 Apr 2014 - 7:04

score 69 · Answer 7 · 2014-05-03 07:29:46

69

Views

Seems straightforward pigeonhole

Published on 03 May 2014 - 7:29

score 128 · Answer 8 · 2014-05-06 11:42:11

128

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The Probabilistic Pigeon Hole Principle 2

Published on 06 May 2014 - 11:42

score 3.2k · Answer 9 · 2026-03-25 09:25:28

3.2k

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10 points inside a square - minimum distance between any of them

Published on 25 Mar 2026 - 9:25

score 217 · Answer 10 · 2014-05-16 15:53:51

217

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From any list of $131$ positive integers with prime factor at most $41$, $4$ can always be chosen such that their product is a perfect square

Published on 16 May 2014 - 15:53

score 137 · Answer 11 · 2014-05-19 10:14:43

137

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Divisibility combinatorics

Published on 19 May 2014 - 10:14

score 95 · Answer 12 · 2014-05-22 15:35:33

95

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Pigeon Hole Principle in Unit Disk

Published on 22 May 2014 - 15:35

score 293 · Answer 13 · 2014-05-24 14:56:50

293

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Combinatorics pigeonhole principle question.

Published on 24 May 2014 - 14:56

score 501 · Answer 14 · 2014-06-01 02:41:48

501

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10 non-increasing or non-decreasing sequence from 101 random numbers

Published on 01 Jun 2014 - 2:41

score 580 · Answer 15 · 2014-06-04 12:59:55

580

Views

Pigeonhole principle and finite sequences

Published on 04 Jun 2014 - 12:59

List Question

A question about the Pigeonhole Principle and linear equations over $\mathbb{Z}$

Collection of numbers always in increasing or decreasing order

Pigeonhole Principle Question: Given any 5 points inside a square of side length 2, there is always a pair whose distance apart is at most $\sqrt2$

Show that two points from four are at a distance $\leq \sqrt{3}$ in an equilateral triangle.

Selecting from $\{1,2,3,4,5,6,7,8,9\}$ to guarantee at least one pair adds to $10$

Prove two numbers of a set will evenly divide the other

Seems straightforward pigeonhole

The Probabilistic Pigeon Hole Principle 2

10 points inside a square - minimum distance between any of them

From any list of $131$ positive integers with prime factor at most $41$, $4$ can always be chosen such that their product is a perfect square

Divisibility combinatorics

Pigeon Hole Principle in Unit Disk

Combinatorics pigeonhole principle question.

10 non-increasing or non-decreasing sequence from 101 random numbers

Pigeonhole principle and finite sequences

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