Question

Prove that the total weighted mean sum of $n$ rationals within $[0,1]$ tends to $\frac{1}{2}$ as $n \to \infty$

score 80 · Answer 1 · 2026-03-30 16:46:46

80

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Prove that the total weighted mean sum of $n$ rationals within $[0,1]$ tends to $\frac{1}{2}$ as $n \to \infty$

Published on 30 Mar 2026 - 16:46

score 81 · Answer 2 · 2026-04-01 01:24:46

81

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proof that $\mathbb{R}=\mathbb{Q}\cup\mathbb{Q}^{'}$

Published on 01 Apr 2026 - 1:24

score 264 · Answer 3 · 2020-06-22 04:29:42

264

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Definition of a rational number.

Published on 22 Jun 2020 - 4:29

score 54 · Answer 4 · 2020-06-24 23:54:03

54

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Misconception about basic mixed fraction

Published on 24 Jun 2020 - 23:54

score 169 · Answer 5 · 2026-03-26 21:35:30

169

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Rationality of Euler-type Generalised Continued Fraction

Published on 26 Mar 2026 - 21:35

score 143 · Answer 6 · 2020-07-02 08:27:59

143

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A naive question about Dedekind cuts

Published on 02 Jul 2020 - 8:27

score 553 · Answer 7 · 2026-03-31 06:23:42

553

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How do we know that the number $1$ is not equal to the number $-1$?

Published on 31 Mar 2026 - 6:23

score 76 · Answer 8 · 2026-03-26 21:27:30

76

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Infinite product of transcendental numbers approaches 1

Published on 26 Mar 2026 - 21:27

score 76 · Answer 9 · 2020-07-04 17:27:27

76

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Find all rational numbers $a$ and integers $b$ such that $\tan{a\pi}=\sqrt{\frac{b+2}{b}}.$

Published on 04 Jul 2020 - 17:27

score 471 · Answer 10 · 2020-07-05 15:47:38

471

Views

Assume both r and s are rational then $\frac{r}{s}\in\mathbb{Q}$

Published on 05 Jul 2020 - 15:47

score 190 · Answer 11 · 2026-03-26 00:53:55

190

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Why do all integer solutions of $\frac{157}{50}<\frac{p}{q}<\frac{22}{7}$ for $q>0$ have the form $p=157n_1+22n_2+179,q=50n_1+7n_2+57$?

Published on 26 Mar 2026 - 0:53

score 119 · Answer 12 · 2026-03-26 01:11:53

119

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If $\frac{p^2}{q^2} + \frac{r^2}{s^2} = 1$, then $q,s$ are odd and one of $p,r$ is even

Published on 26 Mar 2026 - 1:11

score 13.5k · Answer 13 · 2026-04-01 03:07:29

13.5k

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How do I prove that the sum of a rational and irrational number is irrational?

Published on 01 Apr 2026 - 3:07

score 377 · Answer 14 · 2026-04-01 03:11:48

377

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What number follows immediately after a rational number?

Published on 01 Apr 2026 - 3:11

score 95 · Answer 15 · 2020-07-11 11:39:21

95

Views

What does "continuous" mean on functions over the rationals?

Published on 11 Jul 2020 - 11:39

List Question

Prove that the total weighted mean sum of $n$ rationals within $[0,1]$ tends to $\frac{1}{2}$ as $n \to \infty$

proof that $\mathbb{R}=\mathbb{Q}\cup\mathbb{Q}^{'}$

Definition of a rational number.

Misconception about basic mixed fraction

Rationality of Euler-type Generalised Continued Fraction

A naive question about Dedekind cuts

How do we know that the number $1$ is not equal to the number $-1$?

Infinite product of transcendental numbers approaches 1

Find all rational numbers $a$ and integers $b$ such that $\tan{a\pi}=\sqrt{\frac{b+2}{b}}.$

Assume both r and s are rational then $\frac{r}{s}\in\mathbb{Q}$

Why do all integer solutions of $\frac{157}{50}<\frac{p}{q}<\frac{22}{7}$ for $q>0$ have the form $p=157n_1+22n_2+179,q=50n_1+7n_2+57$?

If $\frac{p^2}{q^2} + \frac{r^2}{s^2} = 1$, then $q,s$ are odd and one of $p,r$ is even

How do I prove that the sum of a rational and irrational number is irrational?

What number follows immediately after a rational number?

What does "continuous" mean on functions over the rationals?

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