List questions from rational-numbers

Published on 28 Oct 2018 - 5:42

279

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Show that $\lim_{k\to\infty}\lim_{j\to\infty}\cos^{2j}k!\pi x=0$

Published on 25 Mar 2026 - 6:04

598

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Proof that every rational number is between 2 consecutive integers

Published on 29 Oct 2018 - 22:02

29

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Find real numbers satisfying some conditions of rational dependance

Published on 30 Oct 2018 - 17:48

1.1k

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Prove the set of all dyadic numbers is countable

Published on 01 Nov 2018 - 19:32

87

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Are sets everywhere dense in rational numbers set?

Published on 01 Nov 2018 - 22:22

399

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Decimal expansions of rational numbers.

Published on 25 Mar 2026 - 12:29

47

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Prove or disprove $aB_m-bA_m=[q_n,\cdots,q_m]$

Published on 25 Mar 2026 - 6:03

60

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$\mathbb{Z}\leq G \leq \mathbb{Q}$ and $\varphi:G\rightarrow H$ a map which behaves nicely on fractions.

Published on 04 Nov 2018 - 14:38

131

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Show that rational numbers have the Archimedean property

Published on 05 Nov 2018 - 1:27

64

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Abelian Group of Rationals over addition - axiomatic or derived?

Published on 07 Nov 2018 - 9:40

213

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Evaluating $\sum_{(a,b,c)\in T}\frac{2^a}{3^b 5^c}$, for $T$ the set of all positive integer triples $(a,b,c)$ forming a triangle

Published on 08 Nov 2018 - 18:02

42

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The set {${m^m}/{n^n}: m,n\in \mathbb{N}$} density in ${\mathbb{Q}_+}$

Published on 08 Nov 2018 - 22:35

172

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Show that if $x$ has a terminating decimal expansion then $x=p/q$ for integers $p,q$ where the only prime factors of q are 2's and 5's.

Published on 11 Nov 2018 - 20:42

226

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A course of Pure mathematics incorrect

Published on 14 Nov 2018 - 0:21

List Question

Interior and closure of $\mathbb{Q}\cap (0,1)$.

Show that $\lim_{k\to\infty}\lim_{j\to\infty}\cos^{2j}k!\pi x=0$

Proof that every rational number is between 2 consecutive integers

Find real numbers satisfying some conditions of rational dependance

Prove the set of all dyadic numbers is countable

Are sets everywhere dense in rational numbers set?

Decimal expansions of rational numbers.

Prove or disprove $aB_m-bA_m=[q_n,\cdots,q_m]$

$\mathbb{Z}\leq G \leq \mathbb{Q}$ and $\varphi:G\rightarrow H$ a map which behaves nicely on fractions.

Show that rational numbers have the Archimedean property

Abelian Group of Rationals over addition - axiomatic or derived?

Evaluating $\sum_{(a,b,c)\in T}\frac{2^a}{3^b 5^c}$, for $T$ the set of all positive integer triples $(a,b,c)$ forming a triangle

The set {${m^m}/{n^n}: m,n\in \mathbb{N}$} density in ${\mathbb{Q}_+}$

Show that if $x$ has a terminating decimal expansion then $x=p/q$ for integers $p,q$ where the only prime factors of q are 2's and 5's.

A course of Pure mathematics incorrect

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