Question

What points are circumcenters of lattice points?

score 69 · Answer 1 · 2026-03-30 00:20:13

69

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What points are circumcenters of lattice points?

Published on 30 Mar 2026 - 0:20

score 67 · Answer 2 · 2026-04-08 18:40:43

67

Views

Is every positive rational a sum of powers of every positive rational less than 1?

Published on 08 Apr 2026 - 18:40

score 100 · Answer 3 · 2026-03-29 00:06:37

100

Views

Number close to another : How to explain it?

Published on 29 Mar 2026 - 0:06

score 299 · Answer 4 · 2021-08-14 11:23:48

299

Views

Does $\mathbb{Q}$ and $[0,1) \cap \mathbb{Q}$ have the same cardinality?

Published on 14 Aug 2021 - 11:23

score 147 · Answer 5 · 2026-04-08 16:15:58

147

Views

Rational Solutions to $x^x = n$ where $n$ is a positive integer

Published on 08 Apr 2026 - 16:15

score 105 · Answer 6 · 2021-08-23 10:17:01

105

Views

Is there an angle $\alpha$ that makes both $\cos \alpha$ and $\sin\alpha$ rational?

Published on 23 Aug 2021 - 10:17

score 39 · Answer 7 · 2021-08-25 04:36:17

39

Views

Is my proof that the operations $+$ and $^{-1}$ are well defined for the rational numbers correct?

Published on 25 Aug 2021 - 4:36

score 54 · Answer 8 · 2021-08-25 11:52:27

54

Views

Help with proofs of some field properties of $\mathbb{Q}$

Published on 25 Aug 2021 - 11:52

score 47 · Answer 9 · 2021-08-25 13:49:31

47

Views

Finding the set of integers within the set of rational numbers

Published on 25 Aug 2021 - 13:49

score 59 · Answer 10 · 2026-04-08 20:14:49

59

Views

Help with a proof involving Dedekind Cuts

Published on 08 Apr 2026 - 20:14

score 1.3k · Answer 11 · 2026-03-31 11:09:47

1.3k

Views

Use the continued fraction expansion of $\sqrt{2}$ and show that $\mathbb Q$ and $\mathbb Q^c$ does not possess the Completeness Axiom Property.

Published on 31 Mar 2026 - 11:09

score 122 · Answer 12 · 2021-08-27 14:50:58

122

Views

Show that for any two dedekind cuts $A,B \subset \mathbb{Q}$, if $A \subset B, A\neq B$, then $B-A$ is countably infinite.

Published on 27 Aug 2021 - 14:50

score 27 · Answer 13 · 2021-08-29 11:20:56

27

Views

A proof involving Dedekind Cuts

Published on 29 Aug 2021 - 11:20

score 454 · Answer 14 · 2021-08-31 06:29:42

454

Views

Is this a proof of the density ($x < a < y$) of the rationals?

Published on 31 Aug 2021 - 6:29

score 620 · Answer 15 · 2026-03-27 14:56:44

620

Views

Let $x^3+\frac{1}{x^3}$ and $x^4+\frac{1}{x^4}$ are rational numbers. Show that $x+\frac{1}{x}$ is rational.

Published on 27 Mar 2026 - 14:56

List Question

What points are circumcenters of lattice points?

Is every positive rational a sum of powers of every positive rational less than 1?

Number close to another : How to explain it?

Does $\mathbb{Q}$ and $[0,1) \cap \mathbb{Q}$ have the same cardinality?

Rational Solutions to $x^x = n$ where $n$ is a positive integer

Is there an angle $\alpha$ that makes both $\cos \alpha$ and $\sin\alpha$ rational?

Is my proof that the operations $+$ and $^{-1}$ are well defined for the rational numbers correct?

Help with proofs of some field properties of $\mathbb{Q}$

Finding the set of integers within the set of rational numbers

Help with a proof involving Dedekind Cuts

Use the continued fraction expansion of $\sqrt{2}$ and show that $\mathbb Q$ and $\mathbb Q^c$ does not possess the Completeness Axiom Property.

Show that for any two dedekind cuts $A,B \subset \mathbb{Q}$, if $A \subset B, A\neq B$, then $B-A$ is countably infinite.

A proof involving Dedekind Cuts

Is this a proof of the density ($x < a < y$) of the rationals?

Let $x^3+\frac{1}{x^3}$ and $x^4+\frac{1}{x^4}$ are rational numbers. Show that $x+\frac{1}{x}$ is rational.

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