List questions from rational-numbers

Published on 02 Aug 2013 - 10:47

215

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Lower bound for the length of continued fraction

Published on 29 Mar 2026 - 7:38

708

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Given a rational number $x$ and $x^2 < 2$, is there a general way to find another rational number $y$ that such that $x^2<y^2<2$?

Published on 10 Aug 2013 - 1:56

360

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What is a suitable name for numbers like $a + b\sqrt{c}$

Published on 17 Aug 2013 - 15:43

297

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Algebraic structure of a set of Egyptian fractions of a positive rational?

Published on 23 Feb 2026 - 9:13

2.2k

Views

Question on compact metric space.

Published on 22 Aug 2013 - 3:44

1.8k

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how to find out any digit of any irrational number?

Published on 05 Apr 2026 - 1:18

186

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Is there any kind of irrational number wich does not contain digit 9?

Published on 05 Apr 2026 - 1:18

619

Views

What are the positive rational solutions of $x^{(x+y)} = (x+y)^y$?

Published on 23 Aug 2013 - 15:45

125

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Least Upper Bound: $\text{sup}\{r\in\mathbb{Q}:r<5\}$

Published on 26 Aug 2013 - 6:24

1.5k

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Generalization: $x=\text{sup}\{q\in \mathbb{Q}:q<x\}$

Published on 26 Aug 2013 - 14:43

2.7k

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Hausdorff dimension of the set of rational numbers within a certain interval?

Published on 31 Mar 2026 - 12:16

193

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Linear order, Löwenheim-Skolem

Published on 28 Aug 2013 - 12:13

1.4k

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Do there exist an infinite number of 'rational' points in the equilateral triangle $ABC$?

Published on 06 Sep 2013 - 14:19

3.4k

Views

Additive group of rationals has no minimal generating set

Published on 08 Sep 2013 - 22:37

List Question

Counting Real Numbers

Lower bound for the length of continued fraction

Given a rational number $x$ and $x^2 < 2$, is there a general way to find another rational number $y$ that such that $x^2<y^2<2$?

What is a suitable name for numbers like $a + b\sqrt{c}$

Algebraic structure of a set of Egyptian fractions of a positive rational?

Question on compact metric space.

how to find out any digit of any irrational number?

Is there any kind of irrational number wich does not contain digit 9?

What are the positive rational solutions of $x^{(x+y)} = (x+y)^y$?

Least Upper Bound: $\text{sup}\{r\in\mathbb{Q}:r<5\}$

Generalization: $x=\text{sup}\{q\in \mathbb{Q}:q<x\}$

Hausdorff dimension of the set of rational numbers within a certain interval?

Linear order, Löwenheim-Skolem

Do there exist an infinite number of 'rational' points in the equilateral triangle $ABC$?

Additive group of rationals has no minimal generating set

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