Question

Are there any (more) consecutive numbers that are functional in the Pythagorean Theorem?

score 354 · Answer 1 · 2026-05-10 16:05:41

354

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Are there any (more) consecutive numbers that are functional in the Pythagorean Theorem?

Published on 10 May 2026 - 16:05

score 69 · Answer 2 · 2026-04-15 03:46:33

69

Views

What is the probability of $\lfloor a+b \rfloor < \lfloor a \rfloor + \lfloor b \rfloor$

Published on 15 Apr 2026 - 3:46

score 21 · Answer 3 · 2026-04-14 17:53:30

21

Views

How to prove that $|x| = inf_{(y_1,y_2) \in \mathbb{R^2}} \ y_1 + y_2$

Published on 14 Apr 2026 - 17:53

score 228 · Answer 4 · 2026-05-10 17:15:50

228

Views

Shouldn't there be more basic properies of real numbers in Spivak's Calculus book?

Published on 10 May 2026 - 17:15

score 123 · Answer 5 · 2026-04-11 07:34:00

123

Views

Finding the upper bound of a product

Published on 11 Apr 2026 - 7:34

score 930 · Answer 6 · 2026-04-15 08:03:30

930

Views

Let $U, V$ be two neighborhoods of $x_0$. Prove that $U\cap V$ is also a neighborhood of $x_0$

Published on 15 Apr 2026 - 8:03

score 61 · Answer 7 · 2026-04-22 01:22:55

61

Views

Define powerset P(f) (P(real numbers)

Published on 22 Apr 2026 - 1:22

score 240 · Answer 8 · 2026-05-11 03:24:51

240

Views

When $\alpha n + \beta \sqrt{n}$ is an integer for infinitely many n's?

Published on 11 May 2026 - 3:24

score 375 · Answer 9 · 2026-04-11 00:24:34

375

Views

Is it true that every open set in Euclid space is a countable union of open (closed) cubes?

Published on 11 Apr 2026 - 0:24

score 234 · Answer 10 · 2026-04-14 02:20:17

234

Views

Are $\Bbb R^\times$ and $\Bbb Q_p^\times$ isomorphic as groups?

Published on 14 Apr 2026 - 2:20

score 431 · Answer 11 · 2026-04-13 13:38:30

431

Views

Banach's fixed point theorem in $\mathbb{R}$. Number of iterations needed to satisfy an error

Published on 13 Apr 2026 - 13:38

score 75 · Answer 12 · 2026-04-24 21:28:51

75

Views

Find the number of positive integral solution to this expression

Published on 24 Apr 2026 - 21:28

score 39 · Answer 13 · 2026-05-10 20:17:13

39

Views

if $x\le y+z$ for every $z>0$ then $x\le y$

Published on 10 May 2026 - 20:17

score 2.6k · Answer 14 · 2026-04-16 20:35:48

2.6k

Views

Let $x,y$ be positive real numbers. Then $x<y$ iff $x^n<y^n$ for all $n\in \mathbb{N}$

Published on 16 Apr 2026 - 20:35

score 101 · Answer 15 · 2026-04-16 14:44:47

101

Views

proving that if $x\le y$ and $y\le x$ then $x=y$

Published on 16 Apr 2026 - 14:44

List Question

Are there any (more) consecutive numbers that are functional in the Pythagorean Theorem?

What is the probability of $\lfloor a+b \rfloor < \lfloor a \rfloor + \lfloor b \rfloor$

How to prove that $|x| = inf_{(y_1,y_2) \in \mathbb{R^2}} \ y_1 + y_2$

Shouldn't there be more basic properies of real numbers in Spivak's Calculus book?

Finding the upper bound of a product

Let $U, V$ be two neighborhoods of $x_0$. Prove that $U\cap V$ is also a neighborhood of $x_0$

Define powerset P(f) (P(real numbers)

When $\alpha n + \beta \sqrt{n}$ is an integer for infinitely many n's?

Is it true that every open set in Euclid space is a countable union of open (closed) cubes?

Are $\Bbb R^\times$ and $\Bbb Q_p^\times$ isomorphic as groups?

Banach's fixed point theorem in $\mathbb{R}$. Number of iterations needed to satisfy an error

Find the number of positive integral solution to this expression

if $x\le y+z$ for every $z>0$ then $x\le y$

Let $x,y$ be positive real numbers. Then $x<y$ iff $x^n<y^n$ for all $n\in \mathbb{N}$

proving that if $x\le y$ and $y\le x$ then $x=y$

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