Question

Why don't we have "upper and lower" Lebesgue integrals?

score 442 · Answer 1 · 2019-10-08 07:59:54

442

Views

Why don't we have "upper and lower" Lebesgue integrals?

Published on 08 Oct 2019 - 7:59

score 345 · Answer 2 · 2019-10-17 20:29:54

345

Views

Proof of surjection for piecewise $f: N \to N$

Published on 17 Oct 2019 - 20:29

score 829 · Answer 3 · 2026-02-23 01:17:07

829

Views

approximation of 'any' bounded continuous function using bounded continuous functions with compact support

Published on 23 Feb 2026 - 1:17

score 143 · Answer 4 · 2019-11-17 16:05:29

143

Views

Expanding Brackets Before Integrating a Linear Polynomial to the nth Power

Published on 17 Nov 2019 - 16:05

score 94 · Answer 5 · 2019-11-29 08:31:24

94

Views

Integral of simple functions and the convention $0 \times \infty = 0$

Published on 29 Nov 2019 - 8:31

score 66 · Answer 6 · 2019-12-01 10:33:49

66

Views

Integral when limit of nondecreasing simple functions greater than another simple function

Published on 01 Dec 2019 - 10:33

score 33 · Answer 7 · 2026-03-22 12:05:14

33

Views

what does it mean by $\# \{ i : x_i \le t \}$?

Published on 22 Mar 2026 - 12:05

score 203 · Answer 8 · 2020-02-25 01:03:14

203

Views

Show that $f$ is $\mathcal{A}$-measurable if and only if $\{x \in A \mid f(x)=\alpha_i\} \in \mathcal{A}$ for all $i=1,\dots,n$

Published on 25 Feb 2020 - 1:03

score 23 · Answer 9 · 2026-03-24 20:58:05

23

Views

Confusion about the index of a sequence of simple functions, that approximates a measb. function.

Published on 24 Mar 2026 - 20:58

score 58 · Answer 10 · 2020-05-17 12:24:50

58

Views

How to deal with nonmeasurable sets when proving simple function is measurable?

Published on 17 May 2020 - 12:24

score 87 · Answer 11 · 2026-03-22 06:36:41

87

Views

Multiplication of simple function looks like?

Published on 22 Mar 2026 - 6:36

score 20 · Answer 12 · 2020-05-28 17:04:58

20

Views

the direction of >= sign when an equation is subjected to a condition

Published on 28 May 2020 - 17:04

score 100 · Answer 13 · 2020-07-17 18:12:14

100

Views

Is there a simple function $f(x)$ that follows $2$ rules when $x$ is rational?

Published on 17 Jul 2020 - 18:12

score 142 · Answer 14 · 2016-07-14 21:36:36

142

Views

Dealing with a Sequence of Sets with Two Indices and Simple Function based on that Sequence of Sets

Published on 14 Jul 2016 - 21:36

score 503 · Answer 15 · 2016-08-01 16:19:06

503

Views

Approximating simple functions by "nice" simple functions in $L^2$

Published on 01 Aug 2016 - 16:19

List Question

Why don't we have "upper and lower" Lebesgue integrals?

Proof of surjection for piecewise $f: N \to N$

approximation of 'any' bounded continuous function using bounded continuous functions with compact support

Expanding Brackets Before Integrating a Linear Polynomial to the nth Power

Integral of simple functions and the convention $0 \times \infty = 0$

Integral when limit of nondecreasing simple functions greater than another simple function

what does it mean by $\# \{ i : x_i \le t \}$?

Show that $f$ is $\mathcal{A}$-measurable if and only if $\{x \in A \mid f(x)=\alpha_i\} \in \mathcal{A}$ for all $i=1,\dots,n$

Confusion about the index of a sequence of simple functions, that approximates a measb. function.

How to deal with nonmeasurable sets when proving simple function is measurable?

Multiplication of simple function looks like?

the direction of >= sign when an equation is subjected to a condition

Is there a simple function $f(x)$ that follows $2$ rules when $x$ is rational?

Dealing with a Sequence of Sets with Two Indices and Simple Function based on that Sequence of Sets

Approximating simple functions by "nice" simple functions in $L^2$

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