Question: Let M be a o-algebra on a set X. For E EM, let 1(x) be an indicator function of E. Besides, let c> 0 be

Let M be a o-algebra on a set X. For E

EM, let 1(x) be an indicator function of E. Besides, let c>

Let M be a o-algebra on a set X. For E EM, let 1(x) be an indicator function of E. Besides, let c> 0 be a constant. Show that cle(x) is M-measurable.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

Q:

s1 educated (SSE) student for every three public school educated (PSE) students. Reasoning that students are not very dissimilar from threads, he suggests the following entry and exit routines be...

Q:

This question concerns lexical grammars. (a) Tree Adjoining Grammars contain two types of elementary tree. (i) What are these trees called? [1 mark] (ii) If one were building a grammar for English...

Q:

dee complete please help Complexity Theory (a) Defifine the set of Boolean expressions 2CNF and the language 2SAT over them. (b) For a Boolean expression in 2CNF, let G() be the directed graph with...

Q:

Define the notions of Turing-recognisable language and undecidable language. b) Is L Turing- recognisable? Justify your answer with an informal argument. c) Justify with a formal proof your answer to...

Q:

could you help giving me explanations on this problem ? Thank you. For (i), just use the conclusion from exercise 2.7.2 Question : 2 MATH 156S HOMEWORK 5 Exercise 3. Let & GNB denote the Gaussian...

Q:

use python do the work in every space where it says #YOUR CODE HERE A Sock Drawer Let us model a sock drawer. How does a sock drawer work? Well, when you do the washing you end up with a bunch of...

Q:

the two questions in the attached file, thank you. 3. Let t E (0, 1) be a fixed constant. Write down the expectations and variances of to for the following cases: (a) X has a Poisson (A)...

Q:

2u 712 I 22 7. (a) Let X 2(0),Y E M(C) be given. Suppose that for all a. 8 C 221 not both zero, rank (aX+BY) = 2. Show that y33 = 0. Give a 3 x 3 example that need not be of the form YO! where EM...

Q:

MAT348-Homework # 3 (20 points, due on Wednesday March 23) Question 1. Let S1 ((Z 26 )10 , (Z 26 )10 , (Z 26 )* , e (1) , d (1) ) be the multiplicative cipher defined by e(1) ( x0 ,, x9 ) (k1 x0 mod...

Q:

The mass of the deuterium molecule (D2) is twice that of the hydrogen molecule (H2). If the vibrational frequency of H2 is 1.30, 1014 Hz, what is the vibrational frequency of D2? Assume that the...

Q:

What are the advantages of owning a stock mutual fund as opposed to directly owning stock?

Q:

Consider the following equation. f ( x , y ) = y 3 x , P ( 1 , 2 ) , u = 1 3 ( 2 i 5 2 j ) ( a ) Find the gradient of f . gradf ( x , y ) = ( b ) Evaluate the gradient at the point P . gradf ( 1 , 2...

Q:

(Computation of Basic and Diluted EPS) Charles Austin of the controllers office of Thompson Corporation was given the assignment of determining the basic and diluted earnings per share values for the...

Q:

On September 30, Cody Companys selected account balances are as follows: In general journal form, prepare the entries to record the following: Oct. 15 Payment of liabilities for FICA taxes and the...

Q:

Entertainment Inc. is a retail store that rents movies and sells music CDs over the Internet. The firm's cash receipts for February are listed below. The general ledger accounts used to record these...

Q:

Go Systems had the following payroll data for wages for the week ended February 5. The state income tax is assumed to be 20% of the federal income tax. a. Write the general journal entry to record...

Q:

The financial statements for CAP Inc. and SAP Company for the year ended December 31, Year 5, follow: On December 31, Year 5, after the above figures were prepared, CAP issued $300,000 in debt and...

Q:

Create a 200 word summary on the Juvenile Justice System than and today. Describe The Juvenile system and provide a generalizable definition. Highlight the issues in the Juvenile system and why this...

Q:

Research) In a team of three or four people, choose a company whose mass production process you would like to learn. Use the library, the Inter- net, and (if possible) personal resources to gather...

Q:

(Appendix; EUP computations; normal loss) Southeastern Corp. produces paint in a process in which spoilage occurs continually. Spoilage of 1 per cent or fewer of the gallons of raw material placed...

Q:

(Appendix; normal vs. abnormal spoilage; WA) Weezer Plastics uses a weighted average process costing system, and company management has specified that the normal loss from shrinkage cannot exceed 3...