List questions from rational-numbers

Published on 05 Dec 2018 - 14:52

422

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$f(a)-f(b)$ is rational iff $f(a-b) $ is rational

Published on 05 Dec 2018 - 17:03

355

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The oscillation of a bounded function at a point

Published on 06 Dec 2018 - 3:59

271

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Unique Rational Approximation With "Small" Denominator

Published on 06 Dec 2018 - 21:02

36

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Am I right in this proof of a criterion for the nonsingularity of a conic curve?

Published on 07 Dec 2018 - 10:53

64

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Find natural number $0 < n < 30,000$ such that $\sqrt[3]{5n}+\sqrt{10n}$ is rational

Published on 09 Dec 2018 - 15:09

51

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Help proving there is a sequence of rational numbers

Published on 25 Mar 2026 - 19:03

2.8k

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Strange sum that always end up with 9

Published on 10 Dec 2018 - 22:05

59

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Finding a subspace of dimension $3$ which does not intersect a rational subspace of dimension $2$

Published on 11 Dec 2018 - 15:03

38

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Sequence of Number System Construction

Published on 25 Mar 2026 - 18:24

1.3k

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Proving fraction is irreducible

Published on 13 Dec 2018 - 19:49

78

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Handling opposites when adding and subtracting rational expressions

Published on 18 Dec 2018 - 12:05

99

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Is this a valid definition of the rationals?

Published on 18 Dec 2018 - 16:39

96

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Prove at least one of the length, width, height of the box must be rational.

Published on 19 Dec 2018 - 14:10

449

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Showing $\mathbb{Q} \cap [a,b]$ is an open set in $\mathbb{Q}$ for irrational $a$, $b$.

Published on 20 Dec 2018 - 15:49

List Question

For $0 \le \theta \le \pi/2$, When are both $\theta/\pi$ and $\sqrt2\sin\theta$ rational?

$f(a)-f(b)$ is rational iff $f(a-b) $ is rational

The oscillation of a bounded function at a point

Unique Rational Approximation With "Small" Denominator

Am I right in this proof of a criterion for the nonsingularity of a conic curve?

Find natural number $0 < n < 30,000$ such that $\sqrt[3]{5n}+\sqrt{10n}$ is rational

Help proving there is a sequence of rational numbers

Strange sum that always end up with 9

Finding a subspace of dimension $3$ which does not intersect a rational subspace of dimension $2$

Sequence of Number System Construction

Proving fraction is irreducible

Handling opposites when adding and subtracting rational expressions

Is this a valid definition of the rationals?

Prove at least one of the length, width, height of the box must be rational.

Showing $\mathbb{Q} \cap [a,b]$ is an open set in $\mathbb{Q}$ for irrational $a$, $b$.

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