Suppose that A is finite and f is 1-1 from A onto B. Prove that is finite.

Question:

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

Step by Step Answer:

Related Book For book-img-for-question

An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

See More Books

Question Posted: Mar 29, 2016 03:54 AM

See More Questions

Suppose that A is a positive definite. a. Show that we can write A = D L Lt, where D is diagonal with dii > 0 for each 1 i n and L is lower triangular. Further, show that D L is nonsingular. b....
Suppose that A is open in Rn and f: A Rm. Prove that f is continuous on A if and only if f-l (V) is open in Rn for every open subset V of Rm.
Suppose that A is closed in Rn and f: A Rm. Prove that f is continuous on A if and only if f-l (E) is closed in Rn for every closed subset E of Rm.
On December 31, 2021, there is a batch of commodities sold under FOB destination conditions in the shipping area, and this batch of commodities is not included in the inventory count middle. There is...
An investor must choose between two bonds: Bond A pays $72 annual interest and has a market value of $925. It has 10 years to maturity. Bond B pays $62 annual interest and has a market value of $910....
Jillet Corporation began the year with inventory of 10,000 units of its only product. The units cost $8 each. The company uses a perpetual inventory system and the FIFO cost method. The following...
P2-8 Computations and journal entries with excess of book value over fair value Sun Corporation became a subsidiary of Pam Corporation on July 1, 2016, when Pam paid $1,980,000 cash for 90 percent of...
Taos Company's record of transactions concerning part X for the month of April was as follows. Instructions (a) Compute the inventory at April 30 on each of the following bases. Assume that perpetual...
Saturn Ltd. wants to automate one of its production processes. The new equipment will cost $180,000. In addition, Saturn will incur installation and testing costs of $5,000 and $8,500 respectively....
The profit (or loss) from an investment is normally distributed with a mean of $11,200 and a standard deviation of $8,250. a. What is the probability that there will be a loss rather than a profit?...
Suppose that A and B are sets and that B is uncountable. If there exists a function which takes A onto B, prove that A is uncountable.
Let f : A and g : B C and define g o f : A C by (g o f)(x) := g(f(x)). a) Show that if f, g are 1-1 (respectively, onto), then g o f is 1-1 (respectively, onto). b) Prove that if f is 1-1 from A...
In a caf, the number of coffees sold is recorded every hour and the total number sold since the start of the day is calculated. The caf opens at 08:00. The totals are shown in the table below. a....
Over the past 40 years, union membership has declined, and it continues to do so. Instead, many companies are turning to alternative dispute resolution. We know one of the best union avoidance...
Article "A Leader's Journey" by Pamela Kruger Photographs by Nigel Dickson. For this discussion, let's try and unpack the key factors that led to his transformation. 1. What are your key takeaways...
Describe the collaborative roles of the team leader and the team coach in helping a group of people come together to form a team. Recommend strategies for Alex as team leader to use in helping to...
a. Complete the table with all marginal totals and cell counts. b. Calculate the following probabilities. i. For a male to be a Republican. ii. For a voter to be female. iii. For a voter to be either...
1. Will the Coronavirus Pandemic Make Working from Home the New Normal?" Address the following below. Define the problem described in this case. What are the management, organization, and technology...
What is secondary evidence? a. Testimony only b. Testimony and a copy of a document c. Copy of a document only d. Original document
What are some of the various ways to implement an awareness program?
Use the theorems of this section to find f1 for the following: a. f(x, y, z) = xy b. f(x, y) = sin (xsin (y)). c. f(x, y, z) = sin (xsin (ysin (z)) d. f(x, y, z) = xy2 e. f(x, y, z) =xy+z f. f(x, y,...
Find f1 for the following (where g: R R is continuous): (a) f (x, y) = g (b) f(x, y) = g (c) f(x,y,z)=
A function f: Rn x Rm Rp is bilinear if for x,x1, x2 R n, y,y1, y2 Rm and a R\ We have, f(ax, y) = af (x, y) = f(x, ay) f(x1 + x2, y) = f(x1, y) + f(x2, y) f(x, y1 +y2) = f(x, y1) + f(x, y2) (a)...
How does the life time analysis differ from the basic customer profitability approach(500 words)
The security analysis research reports, published by sell side analysts working for security firms and FINRA, purport to sell an analyst's investment ideas to an investor in exchange for...
During the month of September,the Cider Pressing Company is trying to determine how much cider they are going to sell in October and November. One gallon of cider typically sells for $7 per gallon....

Suppose that A is finite and f is 1-1 from A onto B. Prove that is finite.

Question:

Step by Step Answer:

By definition there is an n N and a 11 function which takes Z 1 2 ...View the full answer

An Introduction to Analysis

Students also viewed these Numerical Analysis questions