Question

Does rationality of numbers depend on base used

score 590 · Answer 1 · 2026-04-01 09:09:48

590

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Does rationality of numbers depend on base used

Published on 01 Apr 2026 - 9:09

score 64 · Answer 2 · 2026-04-02 05:25:02

64

Views

Proof by contrapositive for non zero numbers such that if one is rational and the other irrational then the product is irrational.

Published on 02 Apr 2026 - 5:25

score 85 · Answer 3 · 2026-03-30 16:46:51

85

Views

Proving that if $k\ge60$, then there exists an integer $t$ such that $\frac{3}{11}k \le t \le \frac{2}{7}k$

Published on 30 Mar 2026 - 16:46

score 68 · Answer 4 · 2023-02-09 16:05:05

68

Views

What's the best coefficient to have $b^{-x^{a}}+c-\varepsilon<\sum_{n=1}^{\infty}\left(-1\right)^{n}m\left(x^{n}\right)<b^{-x^{a}}+c$?

Published on 09 Feb 2023 - 16:05

score 70 · Answer 5 · 2026-03-30 03:18:43

70

Views

Repeating decimal : one the most standard form

Published on 30 Mar 2026 - 3:18

score 44 · Answer 6 · 2023-02-12 08:27:29

44

Views

Field containing Q and n-th root of positive element

Published on 12 Feb 2023 - 8:27

score 106 · Answer 7 · 2023-02-16 14:42:53

106

Views

Is "in lowest terms" necessary in this definition of rational exponents?

Published on 16 Feb 2023 - 14:42

score 70 · Answer 8 · 2026-03-27 23:32:05

70

Views

Sequence of increasing rationals in $[0,1]$ diverges and converges

Published on 27 Mar 2026 - 23:32

score 105 · Answer 9 · 2026-03-28 17:41:21

105

Views

$\lim_{\kappa \to \infty} \frac{R(\kappa)}{\kappa^2}=\frac{12}{\pi^2}$

Published on 28 Mar 2026 - 17:41

score 114 · Answer 10 · 2026-04-01 19:06:14

114

Views

No Rational Solutions To Elliptic Curve System

Published on 01 Apr 2026 - 19:06

score 103 · Answer 11 · 2026-03-30 14:26:06

103

Views

Show that $\lim _{n \rightarrow \infty} \frac{1}{4^n} h\left(2^n P\right)$ exists

Published on 30 Mar 2026 - 14:26

score 28 · Answer 12 · 2023-03-04 08:27:27

28

Views

Intuition for the structure of the sets $E_\alpha$ in Jarnik's theorem, i.e. reals $x$ s.t. $|x-(p/q)|\leq q^{-(2+\alpha)}$ for infinitely many $p/q$

Published on 04 Mar 2023 - 8:27

score 152 · Answer 13 · 2026-04-01 19:08:23

152

Views

Rational solutions to $\{x^2+y^2=2,x^2+z^2=4\}$

Published on 01 Apr 2026 - 19:08

score 243 · Answer 14 · 2023-03-09 00:56:04

243

Views

Baby Rudin Theorem 1.19 Step 5

Published on 09 Mar 2023 - 0:56

score 27 · Answer 15 · 2026-03-26 14:23:02

27

Views

A monoid structure $$ on all of $\Bbb{Z}$ isomorphic to $A \Bbb{Z} + 1$ for some $A \neq 0,1$ is such that $\Bbb{Z}\Bbb{Z}$ has infinite complement.

Published on 26 Mar 2026 - 14:23

List Question

Does rationality of numbers depend on base used

Proof by contrapositive for non zero numbers such that if one is rational and the other irrational then the product is irrational.

Proving that if $k\ge60$, then there exists an integer $t$ such that $\frac{3}{11}k \le t \le \frac{2}{7}k$

What's the best coefficient to have $b^{-x^{a}}+c-\varepsilon<\sum_{n=1}^{\infty}\left(-1\right)^{n}m\left(x^{n}\right)<b^{-x^{a}}+c$?

Repeating decimal : one the most standard form

Field containing Q and n-th root of positive element

Is "in lowest terms" necessary in this definition of rational exponents?

Sequence of increasing rationals in $[0,1]$ diverges and converges

$\lim_{\kappa \to \infty} \frac{R(\kappa)}{\kappa^2}=\frac{12}{\pi^2}$

No Rational Solutions To Elliptic Curve System

Show that $\lim _{n \rightarrow \infty} \frac{1}{4^n} h\left(2^n P\right)$ exists

Intuition for the structure of the sets $E_\alpha$ in Jarnik's theorem, i.e. reals $x$ s.t. $|x-(p/q)|\leq q^{-(2+\alpha)}$ for infinitely many $p/q$

Rational solutions to $\{x^2+y^2=2,x^2+z^2=4\}$

Baby Rudin Theorem 1.19 Step 5

A monoid structure $$ on all of $\Bbb{Z}$ isomorphic to $A \Bbb{Z} + 1$ for some $A \neq 0,1$ is such that $\Bbb{Z}\Bbb{Z}$ has infinite complement.

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