Question

Does there exist an interval on the reals, however small, in which every number is irrational?

score 593 · Answer 1 · 2026-03-26 01:08:01

593

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Does there exist an interval on the reals, however small, in which every number is irrational?

Published on 26 Mar 2026 - 1:08

score 214 · Answer 2 · 2026-03-25 12:21:11

214

Views

If the sum of a sequence of positive rational numbers is transcendental, is the sum of every subsequence that is irrational, also transcendental?

Published on 25 Mar 2026 - 12:21

score 342 · Answer 3 · 2026-03-25 06:04:39

342

Views

How to find integers $p$ and $q$ such that $(p\sqrt{2}+q)^2=34-24\sqrt{2}$

Published on 25 Mar 2026 - 6:04

score 1.1k · Answer 4 · 2026-03-20 14:02:20

1.1k

Views

Are all transcendental numbers a zero of a power series?

Published on 20 Mar 2026 - 14:02

score 86 · Answer 5 · 2026-03-26 04:32:08

86

Views

Aperiodicity of $\sin[2x+\cos(\sqrt{2}x)]$

Published on 26 Mar 2026 - 4:32

score 183 · Answer 6 · 2026-03-26 00:53:32

183

Views

Period of curve defined by trig functions (on a torus)

Published on 26 Mar 2026 - 0:53

score 51 · Answer 7 · 2026-03-25 12:15:27

51

Views

Defining number set sequences based on the fundamental theorem of arithmetic

Published on 25 Mar 2026 - 12:15

score 1k · Answer 8 · 2026-03-25 17:22:45

1k

Views

Can you multiply a rational by an irrational and get a rational number?

Published on 25 Mar 2026 - 17:22

score 90 · Answer 9 · 2018-09-16 06:54:08

90

Views

Approximation of $\cos{1}$ , (1 radiant)

Published on 16 Sep 2018 - 6:54

score 158 · Answer 10 · 2018-09-17 12:21:57

158

Views

How to solve $x^x=8$ and prove that it has one and only one irrational root

Published on 17 Sep 2018 - 12:21

score 59 · Answer 11 · 2026-03-23 01:44:48

59

Views

The solutions for $x^x = z, z \in \mathbb{Z^+ - \{4\}}$ are irrational

Published on 23 Mar 2026 - 1:44

score 864 · Answer 12 · 2018-09-20 06:06:05

864

Views

What is the problem with my "proof" that $\mathbb R$ is countable?

Published on 20 Sep 2018 - 6:06

score 49 · Answer 13 · 2018-09-23 12:53:45

49

Views

whether they are dense in $R^n/Z^n$

Published on 23 Sep 2018 - 12:53

score 3.3k · Answer 14 · 2026-03-25 04:19:10

3.3k

Views

Why is $\sum_{i=1}^n a$ always irrational if $n>0$ and $a$ is irrational?

Published on 25 Mar 2026 - 4:19

score 701 · Answer 15 · 2018-09-24 19:37:10

701

Views

Formula for the $n^{th}$ root of $n$?

Published on 24 Sep 2018 - 19:37

List Question

Does there exist an interval on the reals, however small, in which every number is irrational?

If the sum of a sequence of positive rational numbers is transcendental, is the sum of every subsequence that is irrational, also transcendental?

How to find integers $p$ and $q$ such that $(p\sqrt{2}+q)^2=34-24\sqrt{2}$

Are all transcendental numbers a zero of a power series?

Aperiodicity of $\sin[2x+\cos(\sqrt{2}x)]$

Period of curve defined by trig functions (on a torus)

Defining number set sequences based on the fundamental theorem of arithmetic

Can you multiply a rational by an irrational and get a rational number?

Approximation of $\cos{1}$ , (1 radiant)

How to solve $x^x=8$ and prove that it has one and only one irrational root

The solutions for $x^x = z, z \in \mathbb{Z^+ - \{4\}}$ are irrational

What is the problem with my "proof" that $\mathbb R$ is countable?

whether they are dense in $R^n/Z^n$

Why is $\sum_{i=1}^n a$ always irrational if $n>0$ and $a$ is irrational?

Formula for the $n^{th}$ root of $n$?

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