Question

Simplifying an expression for elements in a $\mathbb{Z}$-module

score 96 · Answer 1 · 2023-12-20 16:36:48

96

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Simplifying an expression for elements in a $\mathbb{Z}$-module

Published on 20 Dec 2023 - 16:36

score 70 · Answer 2 · 2023-12-20 19:58:04

70

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Is there any rule on the convergence of an infinite alternate series?

Published on 20 Dec 2023 - 19:58

score 43 · Answer 3 · 2026-04-02 15:54:18

43

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In Rudin's discussion that "the rational number system has certain gaps", should he have let $A$ be the set of all rationals $p>0$ s.t. $p^2\leq 2$?

Published on 02 Apr 2026 - 15:54

score 70 · Answer 4 · 2026-03-26 12:49:23

70

Views

Show that all the element of $ \mathbb{Q} / \mathbb{Z} $ are of torsion.

Published on 26 Mar 2026 - 12:49

score 100 · Answer 5 · 2026-04-02 15:54:14

100

Views

Can any irrational number become rational by inserting digits?

Published on 02 Apr 2026 - 15:54

score 94 · Answer 6 · 2026-04-02 15:58:40

94

Views

An irrationality criterion of infinite series

Published on 02 Apr 2026 - 15:58

score 261 · Answer 7 · 2023-12-30 18:09:39

261

Views

Find all rational values of $x$ for which $\sqrt{x^2 +ax +b}$ is a rational number.

Published on 30 Dec 2023 - 18:09

score 245 · Answer 8 · 2024-01-01 20:00:37

245

Views

Find the max of this function

Published on 01 Jan 2024 - 20:00

score 61 · Answer 9 · 2026-03-27 12:56:10

61

Views

Cases where transcendental numbers can add up to a rational number?

Published on 27 Mar 2026 - 12:56

score 226 · Answer 10 · 2026-04-02 15:59:36

226

Views

How to understand countability of rational vs irrational numbers

Published on 02 Apr 2026 - 15:59

score 136 · Answer 11 · 2026-03-31 07:52:56

136

Views

Determine the nonzero natural numbers $a$ and $b$ for which the number $n=\sqrt{a^{2}+6b}+\sqrt{b^{2} +6a}$ is rational.

Published on 31 Mar 2026 - 7:52

score 55 · Answer 12 · 2026-03-30 12:45:27

55

Views

Constructing the reals using limit of a sequence of sets containing rationals

Published on 30 Mar 2026 - 12:45

score 67 · Answer 13 · 2026-04-02 09:51:13

67

Views

$\{r\in \mathbb Q \mid r^2 <2 \}$ has $\{r\in \mathbb Q \mid r^2 >2 \}$ as its set of upper bounds

Published on 02 Apr 2026 - 9:51

score 406 · Answer 14 · 2026-03-26 17:31:17

406

Views

How does Wolfram find the closed form of numbers?

Published on 26 Mar 2026 - 17:31

score 83 · Answer 15 · 2024-01-23 07:42:51

83

Views

Simple way to see that $r=\frac{st}{s+t}$?

Published on 23 Jan 2024 - 7:42

List Question

Simplifying an expression for elements in a $\mathbb{Z}$-module

Is there any rule on the convergence of an infinite alternate series?

In Rudin's discussion that "the rational number system has certain gaps", should he have let $A$ be the set of all rationals $p>0$ s.t. $p^2\leq 2$?

Show that all the element of $ \mathbb{Q} / \mathbb{Z} $ are of torsion.

Can any irrational number become rational by inserting digits?

An irrationality criterion of infinite series

Find all rational values of $x$ for which $\sqrt{x^2 +ax +b}$ is a rational number.

Find the max of this function

Cases where transcendental numbers can add up to a rational number?

How to understand countability of rational vs irrational numbers

Determine the nonzero natural numbers $a$ and $b$ for which the number $n=\sqrt{a^{2}+6b}+\sqrt{b^{2} +6a}$ is rational.

Constructing the reals using limit of a sequence of sets containing rationals

$\{r\in \mathbb Q \mid r^2 <2 \}$ has $\{r\in \mathbb Q \mid r^2 >2 \}$ as its set of upper bounds

How does Wolfram find the closed form of numbers?

Simple way to see that $r=\frac{st}{s+t}$?

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