Question

Why one of the terms disappeared from the equation

score 42 · Answer 1 · 2016-06-10 15:48:21

42

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Why one of the terms disappeared from the equation

Published on 10 Jun 2016 - 15:48

score 1k · Answer 2 · 2017-04-23 05:51:47

1k

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Existence of step function approximation for Lebesgue function in norm by Littlewood's principle

Published on 23 Apr 2017 - 5:51

score 69 · Answer 3 · 2017-04-29 20:45:08

69

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Let $\{a_n\}_{n=1}^{\infty}\subset [0,1]$ be equidistributed and set $\mu_N=\tfrac 1N\sum_{n=1}^N\delta_{a_n}$. Then $\int_0^1fd\mu_N\to\int_0^1fdm$

Published on 29 Apr 2017 - 20:45

score 30 · Answer 4 · 2017-05-03 09:23:52

30

Views

Is it true that $\exists a\in I\ \text{and}\ \epsilon>0$ such that $f$ is constant on $(a-\epsilon,a+\epsilon)\bigcap I$?

Published on 03 May 2017 - 9:23

score 1.1k · Answer 5 · 2017-05-18 11:14:07

1.1k

Views

Approximating a continuous function with compact support by simple functions from above?

Published on 18 May 2017 - 11:14

score 3.3k · Answer 6 · 2017-06-05 03:05:44

3.3k

Views

Find the minimum and maximum distances from point $(2,6)$ to ellipse $9x^2+8y^2-36x-16y-28=0$

Published on 05 Jun 2017 - 3:05

score 273 · Answer 7 · 2017-06-05 13:03:33

273

Views

Is every monotonic simple function a step function?

Published on 05 Jun 2017 - 13:03

score 329 · Answer 8 · 2017-06-08 20:16:42

329

Views

Non constructive proof that positive measurable functions can be approximated by a sequence of simple functions?

Published on 08 Jun 2017 - 20:16

score 242 · Answer 9 · 2017-06-23 19:15:14

242

Views

Approximate a simple function with the sum of two simple functions

Published on 23 Jun 2017 - 19:15

score 1.3k · Answer 10 · 2017-09-18 04:44:33

1.3k

Views

Definition of a Stochastic Integral for Simple/Elementary Stochastic Processes being well defined

Published on 18 Sep 2017 - 4:44

score 314 · Answer 11 · 2017-09-30 15:29:57

314

Views

Expectation of a random variable - Proof using MCT and simple functions

Published on 30 Sep 2017 - 15:29

score 94 · Answer 12 · 2017-10-02 18:33:13

94

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Union of two elements in a sigma algebra

Published on 02 Oct 2017 - 18:33

score 6.4k · Answer 13 · 2017-10-15 18:29:51

6.4k

Views

How to prove simple function is measurable

Published on 15 Oct 2017 - 18:29

score 48 · Answer 14 · 2017-10-22 09:36:30

48

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About the converge of simple functions

Published on 22 Oct 2017 - 9:36

score 575 · Answer 15 · 2017-11-15 07:02:10

575

Views

Understanding $a_i$'s in simple functions in measure theory

Published on 15 Nov 2017 - 7:02

List Question

Why one of the terms disappeared from the equation

Existence of step function approximation for Lebesgue function in norm by Littlewood's principle

Let $\{a_n\}_{n=1}^{\infty}\subset [0,1]$ be equidistributed and set $\mu_N=\tfrac 1N\sum_{n=1}^N\delta_{a_n}$. Then $\int_0^1fd\mu_N\to\int_0^1fdm$

Is it true that $\exists a\in I\ \text{and}\ \epsilon>0$ such that $f$ is constant on $(a-\epsilon,a+\epsilon)\bigcap I$?

Approximating a continuous function with compact support by simple functions from above?

Find the minimum and maximum distances from point $(2,6)$ to ellipse $9x^2+8y^2-36x-16y-28=0$

Is every monotonic simple function a step function?

Non constructive proof that positive measurable functions can be approximated by a sequence of simple functions?

Approximate a simple function with the sum of two simple functions

Definition of a Stochastic Integral for Simple/Elementary Stochastic Processes being well defined

Expectation of a random variable - Proof using MCT and simple functions

Union of two elements in a sigma algebra

How to prove simple function is measurable

About the converge of simple functions

Understanding $a_i$'s in simple functions in measure theory

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