Let X be any set. Let F(X) denote the set of all functions on X. Show that

Question:

Let X be any set. Let F(X) denote the set of all functions on X. Show that F(X) is a linear space.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

See More Books

Question Posted: May 02, 2016 11:40 AM

See More Questions

Finish verifying that P2 is a vector space (see Example 6.3). Example 6.3 Let P2 denote the set of all polynomials of degree 2 or less with real coefficients. Define addition and scalar...
Let BiL(X Y, Z) denote the set of all continuous bilinear functions from X Y to Z. Show that BiL(X Y, Z) is a linear space. The following result may seem rather esoteric but is really a...
(a) Show that C[a, b] is a real vector space. (b) Let W (k) be the set of all functions in C[a, b] with ((a) = k. For what values of k will W (k) be a sub-space of C[a, b]? (c) Let t1, t2, ( ( ( ( tn...
Sandra, a sole proprietor, is an interior designer and has thefollowing account balances on December 31, 20X0: Cash $2,500,Inventory $9,000, Equipment $25,000, Accumulated depreciation$5,000, Liabi 2...
Use a chi-square goodness-of-fit test to determine whether the following observed frequencies are distributed the same as the expected frequencies. Let a =.01. 826 630 036 4591441 1 3 7 8 651 1234567
In Class, 1025 Minutes for Teams One of the key questions for global marketers is whether to standardize (globally) or localize their product and related marketing mix offerings. For this activity,...
17-11. Cules son los puntos dbiles del mtodo de presupuesto basado en el porcentaje de ventas ?
Lynn Parsons is considering investing in either of two outstanding bonds. The bonds both have $1,000 par values and 11% coupon interest rates and pay annual interest. Bond A has exactly 5 years to...
The statement of financial position data of Yang Ltd. at the end of 2019 and 2018 follow (amounts in thousands). 2019 2018 Equipment 90,000 75,000 Accumulated depreciationequipment (18,000) (8,000)...
An infinite slope shown in Figure Q5 below is inclined at a gradient of 1V:2H and with soil properties of y = y sat = 18 kN/m, c' = 0 kPa and '= 32. A hard layer is found at 4m depth with groundwater...
An upper semi continuous functional on a compact set achieves a maximum.
Let f: X Y be uniformly continuous. If (xn) is a Cauchy sequence in X,(f(xn) is a Cauchy sequence in Y.
Some car dealers offer used cars for sale with warranties and some offer them without warranties. Describe the equilibrium in the market for used cars. Is the market efficient?
do you agree wih this approach to dismantling the toxic culture? explain
Movies When randomly selecting a speaking character in a movie, the probability of getting a female is 0.331 (based on data from "Inequality in 1200 Popular Films," by Smith, et al., Annenberg...
Steve Reese is a well-known interior designer in Fort Worth, Texas. He wants to start his own business and convinces Rob O'Donnell, a local merchant, to contribute the capital to form a partnership....
Exercise 6-10A (Algo) Double-declining-balance and units-of-production depreciation: gain or loss on disposal LO 6-3, 6-4, 6-5 Exact Photo Service purchased a new color printer at the beginning of...
Independent Events Again assume that when randomly selecting a speaking character in a movie, the probability of getting a female is 0.331, as in Exercise 1. If we want to find the probability of 20...
Capital structure of a company includes the following: (i) Equity share capital: 6,00,000 shares of face value 10 each (ii) Preference shares capital: 20,000, 14% shares of face value 100 each (iii)...
Use the following data to answer the next two (2) questions: Product 1 Product 2 Product 3 Direct Material Cost $25,000 $30,000 $35,000 Direct Labor Cost $30,000 $40,000 $50,000 Direct Labor Hours...
A sample of six resistors yielded the following resistances (ohms): and (a) Compute the sample variance and sample standard deviation. (b) Subtract 35 from each of the original resistance...
Consider the following two samples: Sample 1: 10, 9, 8, 7, 8, 6, 10, 6 Sample 2: 10, 6, 10, 6, 8, 10, 8, 6 (a) Calculate the sample range for both samples. Would you conclude that both samples...
An article in Quality Engineering (Vol. 4, 1992, pp. 487495) presents viscosity data from a batch chemical process. A sample of these data follows: (a) Reading down and left to right, draw a time...
1. Why might managers of small restaurants decide not to adopt the standard work hour approach to controlling labour cost? (minimum 150 words )
Which statement is true regarding the U.S. GAAP impairment test for limited life intangibles? A. U.S. GAAP impairment is likely to be greater than IFRS impairment. B. The impairment test for limited...
Which of the following is a limitation of both return on investment and residual income? A. Favors large units. B. There is disincentive for high return on investment units to invest. C. Can lead to...

Let X be any set. Let F(X) denote the set of all functions on X. Show that

Question:

Step by Step Answer:

This is a special case of Example 28 For any define With th...View the full answer

Foundations of Mathematical Economics

Students also viewed these Numerical Analysis questions