Question

Trichotomy of natural numbers Proof (Alternate proof Showing atleast one statement Tao's analysis)

score 92 · Answer 1 · 2023-02-09 05:52:50

92

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Trichotomy of natural numbers Proof (Alternate proof Showing atleast one statement Tao's analysis)

Published on 09 Feb 2023 - 5:52

score 42 · Answer 2 · 2023-02-12 09:49:08

42

Views

Integer solutions of a hyperbola $ab−2a=4b$

Published on 12 Feb 2023 - 9:49

score 129 · Answer 3 · 2023-02-12 21:24:11

129

Views

Why is it impossible to map every real number to a natural number

Published on 12 Feb 2023 - 21:24

score 107 · Answer 4 · 2023-02-15 17:18:19

107

Views

Constructing the power set of natural numbers

Published on 15 Feb 2023 - 17:18

score 22 · Answer 5 · 2023-02-17 16:05:36

22

Views

Product of circles and density of multiples of real numbers

Published on 17 Feb 2023 - 16:05

score 72 · Answer 6 · 2026-03-26 17:30:24

72

Views

Making statements about natural numbers using real number system using trigonometric functions

Published on 26 Mar 2026 - 17:30

score 62 · Answer 7 · 2026-03-25 17:22:16

62

Views

Can we arrange the first n natural numbers consecutive numbers can't be split in equal sums

Published on 25 Mar 2026 - 17:22

score 119 · Answer 8 · 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 455 · Answer 9 · 2023-03-08 03:37:27

455

Views

Is this exercise from Tao's Analysis 1 erroneous?

Published on 08 Mar 2023 - 3:37

score 312 · Answer 10 · 2026-03-26 17:32:28

312

Views

What is the mathematical definition of "standard arithmetic/standard natural numbers"?

Published on 26 Mar 2026 - 17:32

score 145 · Answer 11 · 2026-03-25 09:26:59

145

Views

Is there a metric that makes $\mathbb{N} \cup \{\infty\}$ a complete metric space?

Published on 25 Mar 2026 - 9:26

score 64 · Answer 12 · 2026-02-23 06:33:16

64

Views

Subset Inequality Problem

Published on 23 Feb 2026 - 6:33

score 144 · Answer 13 · 2023-03-15 19:03:49

144

Views

Sum of signed permutations of digits equals zero

Published on 15 Mar 2023 - 19:03

score 124 · Answer 14 · 2026-03-28 03:25:19

124

Views

Possible connection between binary numbers and $\pi$

Published on 28 Mar 2026 - 3:25

score 123 · Answer 15 · 2023-04-08 15:37:56

123

Views

What is the cardinality of non-singleton subsets of $\mathbb{N}$?

Published on 08 Apr 2023 - 15:37

List Question

Trichotomy of natural numbers Proof (Alternate proof Showing atleast one statement Tao's analysis)

Integer solutions of a hyperbola $ab−2a=4b$

Why is it impossible to map every real number to a natural number

Constructing the power set of natural numbers

Product of circles and density of multiples of real numbers

Making statements about natural numbers using real number system using trigonometric functions

Can we arrange the first n natural numbers consecutive numbers can't be split in equal sums

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

Is this exercise from Tao's Analysis 1 erroneous?

What is the mathematical definition of "standard arithmetic/standard natural numbers"?

Is there a metric that makes $\mathbb{N} \cup \{\infty\}$ a complete metric space?

Subset Inequality Problem

Sum of signed permutations of digits equals zero

Possible connection between binary numbers and $\pi$

What is the cardinality of non-singleton subsets of $\mathbb{N}$?

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