give correct solution only
give correct solution only be a Thm : cet & be measurable set in IR and...
pls can u send me simple and correct solution to this it's from measure theory measurable The icet E be measurable set in IR and fet fi EiRO be a function of fo a e in e then f integrable fondx = 0 (converse dows not hold ) Lebesgue on § and ca
1) Show that if U is a non-empty open subset of the real numbers then m(U) > O. 2) Give an example of an unbounded open set with finite measure. Justify your answer, 3) If a is a single point on the number line show that m ( a ) = O. 4) Prove that if K is compact and U is open with K U then m(K) m(U). 5) show that the Cantor set C is compact and m(C)...
Notation: In this assignment E denotes a measurable subset of R and L(E) the set eal vector space. For f e L(E) the norm of f is defined as This is a real number (not oo) as f is integrable over E. Let (n)a-1 be a sequence of functions in L(E). . We say that (in )20 converges in norm to a function f e L(E) if lim lln-fl 0. very E >0 there is some N for which life-fil...
Please give me the correct solution. Consider the bounded function f : [0, 1] + R defined on the closed interval [0, 1] by 0 т f(x) = { 15 if x is irrational, if x is rational with r= – where m <n are positive integers with no common factor (other than 1), if x = 0 or x = 1. n 1 (b) Is the function f integrable on [0, 1]? If your answer is "yes," then prove...
please give the correct answer with explanations, thank you Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
Section B - ARM Assembly Language (25 marks) An ARM instruction set summary is provided at the end of this paper 1. (5 marks) Consider the following assembly instruction STMFD r13!, (r5-6} Before executing this instruction, registers hold the following values: Register Value Register r9 Value r4 0x00400040 0x00000000 r5 r10 0x11223344 0x00800080 r6 0x55667788 r11 0x10001000 r7 0x99aabbcc r12 0x20002000 r8 exddeeff00 r13 ex40004000 What memory locations are affected after executing the above instruction? In a table, with a...
I need to answer #3 could be done in only one way, we see that if we take the table for G and rename the identity e, the next element listed a, and the last element b, the resulting table for G must be the same as the one we had for G. As explained in Section 3, this renaming gives an isomorphism of the group G' with the group G. Definition 3.7 defined the notion of isomorphism and of...
ECON 2110: PROBLEM SET 5 - CHAPTER 6 1. You live in Pawnee Indiana where the only suppliers of Soda are Paunch Burger restaurants. The following equations represent the demand and supply of sodas in Pawnee, where prices represent prices per soda and quantities are in 1000s of sodas. Qu=3-1p (a) What is the equilibrium Price andQuantity in this market? (b) Assume initially that there is no tax on the soda. What are the values of consumer surplus, producer surplus,...
CHEM 1411. Review Exercises for Chapter 3, 7, 8. F19 1. Give the number of lone pairs around the central atom and the geometry of the ion CIO2 A) 0 lone pairs, linear 1 lone pair, bent B) C) 2 lone pairs, bent D) 3 lone pairs, bent E) 3 lone pairs, linear 2. Predict the geometry and polarity of the CS2 molecule. A) linear, polar B) linear, nonpolar C) tetrahedral, nonpolar D) bent, nonpolar E) bent, polar 3. Which...
This project is meant to give you experience writing linked lists and graphs. As such, you are not permitted to use arrays or any data structure library. You may, however, make use of code presented in class and posted to Blackboard. Objective Your goal for this project is to take a block of text, analyze it, and produce random sentences in the style of the original text. For example, your program, given Wizard of Oz, might produce: how quite lion...
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