Question

Is there an intuitive explanation for the equality of mixed partials?

score 877 · Answer 1 · 2026-05-10 15:01:28

877

Views

Is there an intuitive explanation for the equality of mixed partials?

Published on 10 May 2026 - 15:01

score 98 · Answer 2 · 2026-04-10 20:19:05

98

Views

Is $2x\geq x$ an axiom?

Published on 10 Apr 2026 - 20:19

score 178 · Answer 3 · 2026-04-18 09:18:03

178

Views

$S_n=\sum_{k=1}^{n^2} [\sqrt{k}]$

Published on 18 Apr 2026 - 9:18

score 59 · Answer 4 · 2026-04-16 21:42:43

59

Views

Is $\cup_{n=1}^{\infty}\{x:f(x) > \frac{1}{n}\}=\cup_{n=1}^{\infty}\{x:f(x) \geq \frac{1}{n}\}$

Published on 16 Apr 2026 - 21:42

score 214 · Answer 5 · 2026-05-15 05:32:49

214

Views

Prove that $f$ is uniformly continuous iff there exist sequences $a_n,b_n$ such that if $\lim a_n=\lim b_n \implies \lim f(a_n)=\lim f(b_n)$

Published on 15 May 2026 - 5:32

score 4.1k · Answer 6 · 2026-05-10 16:56:42

4.1k

Views

Understanding the sequential definition of a limit, particularly as n approaches infinity

Published on 10 May 2026 - 16:56

score 436 · Answer 7 · 2026-05-10 18:04:32

436

Views

Real analysis : A problem on convergence of a recursively defined sequence

Published on 10 May 2026 - 18:04

score 61 · Answer 8 · 2026-04-16 11:05:00

61

Views

Proving that a given bounded sequence converges

Published on 16 Apr 2026 - 11:05

score 39 · Answer 9 · 2026-05-10 16:32:55

39

Views

Norm $L^p$ for the function $f(x) = \sin(e^{x^3}) 1_{A \cap \mathbb{Q}}(x) + e^{-x} 1_{A/\mathbb{Q}}(x)$

Published on 10 May 2026 - 16:32

score 73 · Answer 10 · 2026-04-18 09:16:04

73

Views

Help me to finish this sequence

Published on 18 Apr 2026 - 9:16

score 107 · Answer 11 · 2026-05-15 05:30:19

107

Views

existence of a function that is continuous at every rational and discontinuous at every irrational

Published on 15 May 2026 - 5:30

score 614 · Answer 12 · 2026-04-15 12:35:10

614

Views

Give an example or state it's impossible

Published on 15 Apr 2026 - 12:35

score 566 · Answer 13 · 2026-05-10 12:15:53

566

Views

Holder inequality, Lp and Lq spaces

Published on 10 May 2026 - 12:15

score 616 · Answer 14 · 2026-05-15 05:30:55

616

Views

Proving the limit of a function exists at one (and only one) point.

Published on 15 May 2026 - 5:30

score 222 · Answer 15 · 2026-05-04 02:12:23

222

Views

well ordering principle and ordered field

Published on 04 May 2026 - 2:12

List Question

Is there an intuitive explanation for the equality of mixed partials?

Is $2x\geq x$ an axiom?

$S_n=\sum_{k=1}^{n^2} [\sqrt{k}]$

Is $\cup_{n=1}^{\infty}\{x:f(x) > \frac{1}{n}\}=\cup_{n=1}^{\infty}\{x:f(x) \geq \frac{1}{n}\}$

Prove that $f$ is uniformly continuous iff there exist sequences $a_n,b_n$ such that if $\lim a_n=\lim b_n \implies \lim f(a_n)=\lim f(b_n)$

Understanding the sequential definition of a limit, particularly as n approaches infinity

Real analysis : A problem on convergence of a recursively defined sequence

Proving that a given bounded sequence converges

Norm $L^p$ for the function $f(x) = \sin(e^{x^3}) 1_{A \cap \mathbb{Q}}(x) + e^{-x} 1_{A/\mathbb{Q}}(x)$

Help me to finish this sequence

existence of a function that is continuous at every rational and discontinuous at every irrational

Give an example or state it's impossible

Holder inequality, Lp and Lq spaces

Proving the limit of a function exists at one (and only one) point.

well ordering principle and ordered field

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