Discuss whether or not the mapping (x mapsto|x|^{2}) (or its inverse image) is a homomorphism [ left(mathbb{R}^{d},
Question:
Discuss whether or not the mapping \(x \mapsto\|x\|^{2}\) (or its inverse image) is a homomorphism
\[
\left(\mathbb{R}^{d}, \mathcal{B}\left(\mathbb{R}^{d}ight), N\left(0, I_{d}ight)ight) \xrightarrow{\|x\|^{2}}\left(\mathbb{R}, \mathcal{B}(\mathbb{R}), \chi_{d}^{2}ight)
\]
of probability spaces.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
For monotone functions f, f0: P Q between posets (P, vP ) and (Q, vQ), let f v f(i) Prove that the binary relation v is a partial order. [3 marks] (ii) For monotone functions between posets p : P 0...
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
Using the following uniform density curve, answer the question. Plx) 125 7 8 What is the probability that the random variable has a value less than 5? 0.125 0.625 K0.75 0.5
-
Sodium melts at 99°C. Liquid sodium, an excellent thermal conductor, is used in some nuclear reactors to cool the reactor core. The liquid sodium is moved through pipes by pumps that exploit the...
-
Assume that Russ Brothers did indeed fail, and that it had the following balance sheet when it was liquidated (in millions of dollars): Athe debentures are subordinated to the notes payable. The...
-
Give an example of a set of edges that do not have \(e\) as an endpoint, which would complete the spanning tree. A student has been asked to construct a spanning tree for Graph \(O\), as shown in the...
-
Chartz 1-2-3 is a top-selling electronic spreadsheet product. Chartz is about to release version 5.0. It divides its customers into two groups: new customers and upgrade customers (those who...
-
1. [-/1 Points] DETAILS LARCALCET7 3.2.010. Use the rules of differentiation to find the derivative of the function. y = x14 Need Help? Read It
-
A shaft is to be designed to support the spur pinion and helical gear shown in the figure on two bearings spaced 700 mm center-to-center. Bearing A is a cylindrical roller and is to take only radial...
-
To compute the control and treatment averages, the \(\mathrm{R}\) command tapply( \(\log (y)\), treat, mean) returns the pair of averages 3.360, 3.085, which is not the pair reported in the text. The...
-
Let \(A, B\) be two vector spaces, i.e., commutative groups with additional structure. What is the additional structure? What are the additional relations between \(x, x^{\prime}, x^{\prime \prime}\)...
-
A rotating wheel has a constant angular acceleration. It has an angular velocity of 5.0 rad/s at time t = 0 s, and 3.0 s later has an angular velocity of 9.0 rad/s. What is the angular displacement...
-
"Hopeful Hearts" is a charitable organisation dedicated to providing healthcare, education, and support to underprivileged communities. As the organisation experiences growth in donations and...
-
Mohammad's Company produces a part of which is used remote control cars for kids. The activity based costing system of the company have identified the following activity cost pools, measures and...
-
Word Problem 21-23 (Static) [LU 21-2 (2)] Dairy Queen, as part of Warren Buffet's Berkshire Hathaway (BRKA) with 6,400 locations in the USA, gave away free ice cream cones to celebrate its 75th...
-
Assume you are a potential investor in Ghana and based on your analysis of the Ghanaian financial market, you are expecting interest rate to rise in the long term. How will this expectation affect:...
-
You work at a pizzeria in a very busy downtown area. At lunch, hundreds of people will come by for a slice of pizza, all within 90 minutes, so you decide to make all the slices of pizza beforehand....
-
What role does a financial and asset management information system serve in an organization? Why is financial reporting important? What are exception reporting and compliance reporting? Why is each...
-
(a) Find the equation of the tangent line to f(x) = x 3 at the point where x = 2. (b) Graph the tangent line and the function on the same axes. If the tangent line is used to estimate values of the...
-
Distinguish clearly between a marketing strategy and a marketing mix. Use an e x ample.
-
Distinguish clearly between mass marketing and target marketing. Use an example.
-
Why is the target market placed in the center of the four Ps in the text diagram of a marketing strategy (Exhibit 2-4)? Explain, using a specific example from your own experience.
-
Conrad Brown is 4 0 years old. He is a livestock farmer in the Free State. During the 2 0 2 3 year of assessment, he established a cherry tree orchard on his farm. His receipts and accruals for the...
-
Comparative financial statements for Weller Corporation, a merchandising company, for the year ending December 3 1 appear below. The company did not issue any new common stock during the year. A...
-
DEF Inc. produced 40,000 units during the month. Total manufacturing costs, including direct materials, direct labor, and factory overhead, amounted to $800,000. If the ending inventory was valued at...
Study smarter with the SolutionInn App