Question

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

score 443 · Answer 1 · 2026-03-25 07:42:24

443

Views

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

Published on 25 Mar 2026 - 7:42

score 346 · Answer 2 · 2026-03-25 03:03:00

346

Views

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

Published on 25 Mar 2026 - 3:03

score 830 · Answer 3 · 2026-04-09 06:22:09

830

Views

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

Published on 09 Apr 2026 - 6:22

score 144 · Answer 4 · 2026-03-25 01:17:00

144

Views

Expanding Brackets Before Integrating a Linear Polynomial to the nth Power

Published on 25 Mar 2026 - 1:17

score 95 · Answer 5 · 2026-03-25 01:17:22

95

Views

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

Published on 25 Mar 2026 - 1:17

score 67 · Answer 6 · 2026-03-25 01:22:28

67

Views

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

Published on 25 Mar 2026 - 1:22

score 34 · Answer 7 · 2026-03-25 03:00:25

34

Views

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

Published on 25 Mar 2026 - 3:00

score 204 · Answer 8 · 2026-03-25 03:04:20

204

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 Mar 2026 - 3:04

score 35 · Answer 9 · 2026-04-29 08:43:07

35

Views

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

Published on 29 Apr 2026 - 8:43

score 59 · Answer 10 · 2026-03-25 01:22:18

59

Views

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

Published on 25 Mar 2026 - 1:22

score 88 · Answer 11 · 2026-03-25 01:15:27

88

Views

Multiplication of simple function looks like?

Published on 25 Mar 2026 - 1:15

score 21 · Answer 12 · 2026-03-25 01:18:15

21

Views

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

Published on 25 Mar 2026 - 1:18

score 101 · Answer 13 · 2026-03-25 01:24:04

101

Views

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

Published on 25 Mar 2026 - 1:24

score 143 · Answer 14 · 2026-03-25 01:23:43

143

Views

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

Published on 25 Mar 2026 - 1:23

score 504 · Answer 15 · 2026-03-25 01:15:37

504

Views

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

Published on 25 Mar 2026 - 1:15

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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