Question

Constructing the proof that $\sup \{x:x\in\mathbb Q \wedge x<\sqrt 2 \}$ doesn't exist.

score 709 · Answer 1 · 2012-04-11 17:09:30

709

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Constructing the proof that $\sup \{x:x\in\mathbb Q \wedge x<\sqrt 2 \}$ doesn't exist.

Published on 11 Apr 2012 - 17:09

score 203 · Answer 2 · 2026-03-29 02:54:41

203

Views

Linear independence of reciprocals of logarithms

Published on 29 Mar 2026 - 2:54

score 2.5k · Answer 3 · 2012-04-23 14:45:08

2.5k

Views

Computing decimal digits of irrational numbers

Published on 23 Apr 2012 - 14:45

score 9.9k · Answer 4 · 2026-04-02 16:38:02

9.9k

Views

For an irrational number $\alpha$, prove that the set $\{a+b\alpha: a,b\in \mathbb{Z}\}$ is dense in $\mathbb R$

Published on 02 Apr 2026 - 16:38

score 381 · Answer 5 · 2012-04-28 18:21:39

381

Views

certain proofs of the irrationality of $\sqrt{2}$

Published on 28 Apr 2012 - 18:21

score 690 · Answer 6 · 2026-04-03 17:32:40

690

Views

Which results depend on the irrationality of $\pi$?

Published on 03 Apr 2026 - 17:32

score 2.1k · Answer 7 · 2026-04-01 09:33:29

2.1k

Views

Rotation $x \to x+a \pmod 1$ of the circle is Ergodic if and only if $a$ is irrational

Published on 01 Apr 2026 - 9:33

score 2.1k · Answer 8 · 2012-05-15 00:39:37

2.1k

Views

Use of the Reciprocal Fibonacci constant?

Published on 15 May 2012 - 0:39

score 12.5k · Answer 9 · 2026-04-03 17:32:48

12.5k

Views

How do you calculate the decimal expansion of an irrational number?

Published on 03 Apr 2026 - 17:32

score 6.7k · Answer 10 · 2026-03-26 20:39:36

6.7k

Views

Has Euler's Constant $\gamma$ been proven to be irrational?

Published on 26 Mar 2026 - 20:39

score 154 · Answer 11 · 2012-05-27 15:45:13

154

Views

Is there a rational univariat polynomial of degree 3 with 3 irrational roots?

Published on 27 May 2012 - 15:45

score 154 · Answer 12 · 2026-03-30 10:53:15

154

Views

Finding a closed expression for a calculated value.

Published on 30 Mar 2026 - 10:53

score 754 · Answer 13 · 2012-06-03 06:21:46

754

Views

Arithmetic of irrationals and the Vedanta behind it..

Published on 03 Jun 2012 - 6:21

score 115 · Answer 14 · 2012-06-09 17:54:21

115

Views

When was the significance of $i$ first noticed?

Published on 09 Jun 2012 - 17:54

score 4.2k · Answer 15 · 2026-03-27 10:10:50

4.2k

Views

Why do irrationality proofs of $\sqrt x$ not apply when $x$ is a perfect square?

Published on 27 Mar 2026 - 10:10

List Question

Constructing the proof that $\sup \{x:x\in\mathbb Q \wedge x<\sqrt 2 \}$ doesn't exist.

Linear independence of reciprocals of logarithms

Computing decimal digits of irrational numbers

For an irrational number $\alpha$, prove that the set $\{a+b\alpha: a,b\in \mathbb{Z}\}$ is dense in $\mathbb R$

certain proofs of the irrationality of $\sqrt{2}$

Which results depend on the irrationality of $\pi$?

Rotation $x \to x+a \pmod 1$ of the circle is Ergodic if and only if $a$ is irrational

Use of the Reciprocal Fibonacci constant?

How do you calculate the decimal expansion of an irrational number?

Has Euler's Constant $\gamma$ been proven to be irrational?

Is there a rational univariat polynomial of degree 3 with 3 irrational roots?

Finding a closed expression for a calculated value.

Arithmetic of irrationals and the Vedanta behind it..

When was the significance of $i$ first noticed?

Why do irrationality proofs of $\sqrt x$ not apply when $x$ is a perfect square?

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