List questions from rational-numbers

Published on 08 Oct 2018 - 14:16

96

Views

Show that the set of rational numbers is $\textbf{dense}$ in $\mathbb{R}$

Published on 08 Oct 2018 - 20:05

54

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Measure of a relatively small subset of $\mathbb R^4$

Published on 10 Oct 2018 - 9:03

181

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Irrationality of $r\sqrt{5}$ for rational number $r$?

Published on 14 Oct 2018 - 3:47

128

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Rational fraction expression for triangular powers of 2

Published on 16 Oct 2018 - 1:12

134

Views

Does $f(x)=x^3+x^2-8x+1$ have rational roots?

Published on 16 Oct 2018 - 17:18

81

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Proof by contradiction - am I correct?

Published on 17 Oct 2018 - 6:06

144

Views

Minkowski Set Addition

Published on 19 Oct 2018 - 15:35

310

Views

Rational numbers in irrational bases

Published on 25 Mar 2026 - 7:40

64

Views

Does the supremum of the set $S=\{x\in\mathbb{Q}: x>2\}\subset \mathbb{R}$ exist?

Published on 21 Oct 2018 - 10:27

6k

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Are rational points dense on every circle in the coordinate plane?

Published on 23 Oct 2018 - 0:26

61

Views

Is this particular subspace of $\mathbb R^4$ intersecting non-trivially a rational subspace?

Published on 24 Oct 2018 - 12:31

159

Views

A family of subspaces of $\mathbb R^4$ which does not intersect non-trivially a rational subspace

Published on 25 Oct 2018 - 8:20

79

Views

$P(x)$ doesn't have a rational root?

Published on 25 Oct 2018 - 20:47

89

Views

Prove that $\mathbb{Q}_+$ can be enumerated as $(q_n)$ such that $\lim\sqrt[n]{q_n}$ exists.

Published on 27 Oct 2018 - 20:38

List Question

Set of Propositional Formulae with no equivalent independent subset

Show that the set of rational numbers is $\textbf{dense}$ in $\mathbb{R}$

Measure of a relatively small subset of $\mathbb R^4$

Irrationality of $r\sqrt{5}$ for rational number $r$?

Rational fraction expression for triangular powers of 2

Does $f(x)=x^3+x^2-8x+1$ have rational roots?

Proof by contradiction - am I correct?

Minkowski Set Addition

Rational numbers in irrational bases

Does the supremum of the set $S=\{x\in\mathbb{Q}: x>2\}\subset \mathbb{R}$ exist?

Are rational points dense on every circle in the coordinate plane?

Is this particular subspace of $\mathbb R^4$ intersecting non-trivially a rational subspace?

A family of subspaces of $\mathbb R^4$ which does not intersect non-trivially a rational subspace

$P(x)$ doesn't have a rational root?

Prove that $\mathbb{Q}_+$ can be enumerated as $(q_n)$ such that $\lim\sqrt[n]{q_n}$ exists.

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