Question

Proof that non-monotonic sequence is unbounded

score 364 · Answer 1 · 2026-04-08 12:32:03

364

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Proof that non-monotonic sequence is unbounded

Published on 08 Apr 2026 - 12:32

score 145 · Answer 2 · 2026-04-09 03:21:02

145

Views

How can a set be both countable and "dense"?

Published on 09 Apr 2026 - 3:21

score 104 · Answer 3 · 2026-04-08 12:53:03

104

Views

Is there an explicit example of an uncountable collection of pairwise disjoint, dense, countable subsets whose union equals $[0,1]$?

Published on 08 Apr 2026 - 12:53

score 27 · Answer 4 · 2026-04-05 17:36:08

27

Views

Sum and product of numerator of rational number doubt

Published on 05 Apr 2026 - 17:36

score 94 · Answer 5 · 2021-06-10 02:35:30

94

Views

Adding together numerators and denominators --- does this protocol generate all positive rational numbers?

Published on 10 Jun 2021 - 2:35

score 113 · Answer 6 · 2026-04-08 12:51:31

113

Views

A problem about Lebesgue-measurability, irrational numbers, and rational numbers.

Published on 08 Apr 2026 - 12:51

score 98 · Answer 7 · 2026-04-08 12:51:40

98

Views

Is there a method for finding two irrational numbers that multiply together to form a rational number

Published on 08 Apr 2026 - 12:51

score 55 · Answer 8 · 2021-06-22 23:02:53

55

Views

Density of rationals and real numbers clamped between close rational numbers

Published on 22 Jun 2021 - 23:02

score 87 · Answer 9 · 2021-06-23 11:55:05

87

Views

Positive linear function over $\mathbb{Q}^n$ vs. $\mathbb{R}^n$

Published on 23 Jun 2021 - 11:55

score 166 · Answer 10 · 2021-06-24 15:17:47

166

Views

Can somebody construct multiplication of rational numbers?

Published on 24 Jun 2021 - 15:17

score 143 · Answer 11 · 2026-04-08 06:25:05

143

Views

Is it possible to find a circle with exactly 5 rational points?

Published on 08 Apr 2026 - 6:25

score 201 · Answer 12 · 2026-04-03 17:54:30

201

Views

Is my proof that product of Cauchy sequences is Cauchy, correct?

Published on 03 Apr 2026 - 17:54

score 304 · Answer 13 · 2021-06-27 14:38:02

304

Views

$\sqrt{x+1}, \sqrt{x+2}, \sqrt{x+3}$ cannot be all three rational numbers.

Published on 27 Jun 2021 - 14:38

score 96 · Answer 14 · 2021-06-29 15:05:47

96

Views

What do we call a number transformation or function that outputs the input number without its decimal?

Published on 29 Jun 2021 - 15:05

score 118 · Answer 15 · 2021-06-30 15:59:23

118

Views

Counterexamples to implications of mean value theorem without completeness

Published on 30 Jun 2021 - 15:59

List Question

Proof that non-monotonic sequence is unbounded

How can a set be both countable and "dense"?

Is there an explicit example of an uncountable collection of pairwise disjoint, dense, countable subsets whose union equals $[0,1]$?

Sum and product of numerator of rational number doubt

Adding together numerators and denominators --- does this protocol generate all positive rational numbers?

A problem about Lebesgue-measurability, irrational numbers, and rational numbers.

Is there a method for finding two irrational numbers that multiply together to form a rational number

Density of rationals and real numbers clamped between close rational numbers

Positive linear function over $\mathbb{Q}^n$ vs. $\mathbb{R}^n$

Can somebody construct multiplication of rational numbers?

Is it possible to find a circle with exactly 5 rational points?

Is my proof that product of Cauchy sequences is Cauchy, correct?

$\sqrt{x+1}, \sqrt{x+2}, \sqrt{x+3}$ cannot be all three rational numbers.

What do we call a number transformation or function that outputs the input number without its decimal?

Counterexamples to implications of mean value theorem without completeness

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