Question

outer measure of the irrational numbers on $[a,b]$ is $b-a$

score 171 · Answer 1 · 2026-04-13 09:07:36

171

Views

outer measure of the irrational numbers on $[a,b]$ is $b-a$

Published on 13 Apr 2026 - 9:07

score 44 · Answer 2 · 2026-05-10 13:45:11

44

Views

A convergence problem

Published on 10 May 2026 - 13:45

score 281 · Answer 3 · 2026-04-09 15:50:31

281

Views

How to show $|\sin(2x)-\sin(2a)|$ is bounded by $2|\sin(x-a)|$?

Published on 09 Apr 2026 - 15:50

score 58 · Answer 4 · 2026-04-24 14:30:25

58

Views

Intermediate value theorem for a definite integral function

Published on 24 Apr 2026 - 14:30

score 95 · Answer 5 · 2026-04-17 14:33:35

95

Views

Divergence of sequence $y_n=(1-x_1)(1-\ x_2)\cdots(1-x_n)$ if $x_{n+1}=(x_{n+1}+1)x_n$

Published on 17 Apr 2026 - 14:33

score 608 · Answer 6 · 2026-05-10 22:07:49

608

Views

Improper integrals through partitions of unity (Problem 3-37 from Spivak)

Published on 10 May 2026 - 22:07

score 514 · Answer 7 · 2026-04-09 03:10:45

514

Views

Show operator is well-defined

Published on 09 Apr 2026 - 3:10

score 1.3k · Answer 8 · 2026-05-11 03:49:58

1.3k

Views

Let $f : Q\to \mathbb{R}$ be bounded. Then $f$ is integrable over $Q$ if and only if given $\epsilon> 0$, there is a $\delta> 0$ such that

Published on 11 May 2026 - 3:49

score 362 · Answer 9 · 2026-05-14 02:36:46

362

Views

Is there a hidden use of choice in the proof of the Bolzano–Weierstrass theorem?

Published on 14 May 2026 - 2:36

score 58 · Answer 10 · 2026-04-24 14:38:42

58

Views

Show that there exists $a$ so that $f(a)=(a+1)^{2017}$

Published on 24 Apr 2026 - 14:38

score 476 · Answer 11 · 2026-05-10 18:30:44

476

Views

Let $f : Q\to \mathbb{R}$ be bounded. Then the statement that $f$ is integrable over $Q$, with $\int_{Q}f = A$, is equivalent to the statement

Published on 10 May 2026 - 18:30

score 90 · Answer 12 · 2026-05-11 00:27:24

90

Views

Integrate by parts $x\cdot\arctan^2(x)$

Published on 11 May 2026 - 0:27

score 4.6k · Answer 13 · 2026-05-05 11:20:56

4.6k

Views

What IS the successor function without saying $S(n) = n + 1$?

Published on 05 May 2026 - 11:20

score 627 · Answer 14 · 2026-05-10 15:24:04

627

Views

Closed and bounded but not compact subset of $\ell^1$

Published on 10 May 2026 - 15:24

score 221 · Answer 15 · 2026-05-10 14:04:33

221

Views

Showing a Sequence and its Limit are Closed

Published on 10 May 2026 - 14:04

List Question

outer measure of the irrational numbers on $[a,b]$ is $b-a$

A convergence problem

How to show $|\sin(2x)-\sin(2a)|$ is bounded by $2|\sin(x-a)|$?

Intermediate value theorem for a definite integral function

Divergence of sequence $y_n=(1-x_1)(1-\ x_2)\cdots(1-x_n)$ if $x_{n+1}=(x_{n+1}+1)x_n$

Improper integrals through partitions of unity (Problem 3-37 from Spivak)

Show operator is well-defined

Let $f : Q\to \mathbb{R}$ be bounded. Then $f$ is integrable over $Q$ if and only if given $\epsilon> 0$, there is a $\delta> 0$ such that

Is there a hidden use of choice in the proof of the Bolzano–Weierstrass theorem?

Show that there exists $a$ so that $f(a)=(a+1)^{2017}$

Let $f : Q\to \mathbb{R}$ be bounded. Then the statement that $f$ is integrable over $Q$, with $\int_{Q}f = A$, is equivalent to the statement

Integrate by parts $x\cdot\arctan^2(x)$

What IS the successor function without saying $S(n) = n + 1$?

Closed and bounded but not compact subset of $\ell^1$

Showing a Sequence and its Limit are Closed

Trending Questions

Popular # Hahtags

Popular Questions