Question

Onto function with domain of rational numbers and co-domain of natural numbers

score 1.1k · Answer 1 · 2016-02-19 03:29:32

1.1k

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Onto function with domain of rational numbers and co-domain of natural numbers

Published on 19 Feb 2016 - 3:29

score 585 · Answer 2 · 2016-02-19 14:10:50

585

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Nonlinear regular bijection from $\mathbb Q$ to itself

Published on 19 Feb 2016 - 14:10

score 792 · Answer 3 · 2026-04-04 03:51:12

792

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Set of Rational numbers a countable set?

Published on 04 Apr 2026 - 3:51

score 1.8k · Answer 4 · 2026-04-04 03:55:31

1.8k

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Which set is more dense: set of irrational numbers or set of rational numbers?

Published on 04 Apr 2026 - 3:55

score 2k · Answer 5 · 2016-02-21 01:15:21

2k

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T/F: any number that can be written as a fraction is rational.

Published on 21 Feb 2016 - 1:15

score 3.3k · Answer 6 · 2016-02-22 12:17:28

3.3k

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Why is the set of Rational numbers countably infinite?

Published on 22 Feb 2016 - 12:17

score 181 · Answer 7 · 2016-02-23 07:05:26

181

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Conditions under which $\frac{ax+b}{cx+d}$ will be rational.

Published on 23 Feb 2016 - 7:05

score 158 · Answer 8 · 2026-03-28 05:22:11

158

Views

What is a good way to show that $[0,1]$ is not complete in $\mathbb{Q}$

Published on 28 Mar 2026 - 5:22

score 30 · Answer 9 · 2016-02-28 23:06:43

30

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Basel problem over $\mathbb{Q}_{\geq 1}$

Published on 28 Feb 2016 - 23:06

score 309 · Answer 10 · 2016-02-29 00:15:17

309

Views

Prove that $\frac{p}{q}$ is a rational number with a finite decimal expression if $p$ is an integer and $q=(2^n)(5^m)$

Published on 29 Feb 2016 - 0:15

score 856 · Answer 11 · 2026-04-05 18:49:04

856

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Proving that rational equivalence is an equivalence relation on any set.

Published on 05 Apr 2026 - 18:49

score 4.4k · Answer 12 · 2026-04-04 03:54:30

4.4k

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If $x$ is rational and $xy$ is irrational, then $y$ is irrational.

Published on 04 Apr 2026 - 3:54

score 158 · Answer 13 · 2026-02-23 14:06:46

158

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Countable dense subset claim in Arzela Ascoli proof

Published on 23 Feb 2026 - 14:06

score 44 · Answer 14 · 2026-03-31 13:49:28

44

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$\{a x^{z}: a\in \Bbb{Q}, z \in \Bbb{Z}\} \approx \Bbb{Q}^{\times} \otimes_{\Bbb{Z}} \Bbb{Z}^+ \implies$? what about $\Bbb{Q}$-linear sums?

Published on 31 Mar 2026 - 13:49

score 57 · Answer 15 · 2026-04-04 03:58:10

57

Views

Rationality of $a^2+b^2$

Published on 04 Apr 2026 - 3:58

List Question

Onto function with domain of rational numbers and co-domain of natural numbers

Nonlinear regular bijection from $\mathbb Q$ to itself

Set of Rational numbers a countable set?

Which set is more dense: set of irrational numbers or set of rational numbers?

T/F: any number that can be written as a fraction is rational.

Why is the set of Rational numbers countably infinite?

Conditions under which $\frac{ax+b}{cx+d}$ will be rational.

What is a good way to show that $[0,1]$ is not complete in $\mathbb{Q}$

Basel problem over $\mathbb{Q}_{\geq 1}$

Prove that $\frac{p}{q}$ is a rational number with a finite decimal expression if $p$ is an integer and $q=(2^n)(5^m)$

Proving that rational equivalence is an equivalence relation on any set.

If $x$ is rational and $xy$ is irrational, then $y$ is irrational.

Countable dense subset claim in Arzela Ascoli proof

$\{a x^{z}: a\in \Bbb{Q}, z \in \Bbb{Z}\} \approx \Bbb{Q}^{\times} \otimes_{\Bbb{Z}} \Bbb{Z}^+ \implies$? what about $\Bbb{Q}$-linear sums?

Rationality of $a^2+b^2$

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