Question

Sum of infinitely many integrals over a bounded interval

score 302 · Answer 1 · 2018-04-22 15:57:54

302

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Sum of infinitely many integrals over a bounded interval

Published on 22 Apr 2018 - 15:57

score 148 · Answer 2 · 2026-04-12 12:34:19

148

Views

What is the Fourier transform? (Symmetric invertible matrix)

Published on 12 Apr 2026 - 12:34

score 155 · Answer 3 · 2026-04-11 01:36:14

155

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Superadditive but not convex function

Published on 11 Apr 2026 - 1:36

score 484 · Answer 4 · 2018-04-23 14:17:31

484

Views

The Space $D[0,1]$ of cadlag-functions (right continuous, left side limit exists) from $[0,1]$ to $\mathbb{R}$ with the Sup-norm is not separable.

Published on 23 Apr 2018 - 14:17

score 76 · Answer 5 · 2026-04-11 22:04:48

76

Views

Must the dimensions of $V$ and $U$ be equal for $f: U \mapsto V$ to be a diffeomorphism?

Published on 11 Apr 2026 - 22:04

score 267 · Answer 6 · 2026-04-12 23:12:24

267

Views

Monotone approximating sequence for measurable function

Published on 12 Apr 2026 - 23:12

score 1.1k · Answer 7 · 2018-04-23 15:56:10

1.1k

Views

Evaluate the limit $\lim_{x\to 1} \frac{\cos (\pi x/2))}{1-x}$ without L'Hôpital's rule or Taylor series.

Published on 23 Apr 2018 - 15:56

score 33 · Answer 8 · 2026-03-26 09:39:58

33

Views

Verifying that a map to $L^2_{\text{loc}}$ is continuous.

Published on 26 Mar 2026 - 9:39

score 871 · Answer 9 · 2026-03-31 05:32:45

871

Views

Prob. 11, Sec. 3.5, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: If $y_1 < y_2$ are arbitrary real numbers and . . .

Published on 31 Mar 2026 - 5:32

score 101 · Answer 10 · 2026-04-12 02:02:25

101

Views

Finding the optimal sum of integers

Published on 12 Apr 2026 - 2:02

score 38 · Answer 11 · 2018-04-23 23:36:53

38

Views

$|a_N(n)|\leq \frac{c}{n}$

Published on 23 Apr 2018 - 23:36

score 94 · Answer 12 · 2026-03-25 22:23:50

94

Views

Analyzing the convexity of a superadditive function

Published on 25 Mar 2026 - 22:23

score 56 · Answer 13 · 2018-04-24 08:21:55

56

Views

Limit of the series $\lim_{n\rightarrow \infty}\frac{1}{s_n}\sum_{k=1}^{n}a_kx_k$

Published on 24 Apr 2018 - 8:21

score 47 · Answer 14 · 2026-04-07 04:53:49

47

Views

Normal approximation to difference of Binomials

Published on 07 Apr 2026 - 4:53

score 43 · Answer 15 · 2026-03-25 04:42:33

43

Views

Product space is completed with metric $d(x,y):=\sum_{i\in\mathbb{N}}\min\{2^{-i},d_i(x_i,y_i)\}.$

Published on 25 Mar 2026 - 4:42

List Question

Sum of infinitely many integrals over a bounded interval

What is the Fourier transform? (Symmetric invertible matrix)

Superadditive but not convex function

The Space $D[0,1]$ of cadlag-functions (right continuous, left side limit exists) from $[0,1]$ to $\mathbb{R}$ with the Sup-norm is not separable.

Must the dimensions of $V$ and $U$ be equal for $f: U \mapsto V$ to be a diffeomorphism?

Monotone approximating sequence for measurable function

Evaluate the limit $\lim_{x\to 1} \frac{\cos (\pi x/2))}{1-x}$ without L'Hôpital's rule or Taylor series.

Verifying that a map to $L^2_{\text{loc}}$ is continuous.

Prob. 11, Sec. 3.5, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: If $y_1 < y_2$ are arbitrary real numbers and . . .

Finding the optimal sum of integers

$|a_N(n)|\leq \frac{c}{n}$

Analyzing the convexity of a superadditive function

Limit of the series $\lim_{n\rightarrow \infty}\frac{1}{s_n}\sum_{k=1}^{n}a_kx_k$

Normal approximation to difference of Binomials

Product space is completed with metric $d(x,y):=\sum_{i\in\mathbb{N}}\min\{2^{-i},d_i(x_i,y_i)\}.$

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