Mathematics: A Discrete Introduction
3rd Edition
ISBN: 9780840049421
Author: Edward A. Scheinerman
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 3.15, Problem 15.16E
To determine
To find:the number of possible equivalence relations on a three element set and the number of possible equivalence relations on a four element set.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Q/Consider the set
8
e' = { x = (x\ 1 X 2 1 X3, ...) € (°: { \x;k< ∞ }
Show that
M
&
XII, Ixil
=
にし
i= 1
defines a norm
on
vector
Q/Consider the real vector space R². For every
X= (X/X2) ER². Let 11x11 = \xil+\x\.
Show that 1.11 define a hormon R².
12. Suppose that a, b E R and a < b. Show that the vector space C[a, b] of all continuous complex
valued functions defined on [a, b], with supremum norm
is a Banach space.
Ilflloc:
=
sup f(t),
t€[a,b]
Chapter 3 Solutions
Mathematics: A Discrete Introduction
Ch. 3.14 - Write the following relations on the set 1,2,3,4,5...Ch. 3.14 - Prob. 14.2ECh. 3.14 - Prob. 14.3ECh. 3.14 - For each of the following relations on the set of...Ch. 3.14 - Prob. 14.5ECh. 3.14 - Prob. 14.6ECh. 3.14 - Prob. 14.7ECh. 3.14 - Prob. 14.8ECh. 3.14 - Prob. 14.9ECh. 3.14 - Prob. 14.10E
Ch. 3.14 - Prob. 14.11ECh. 3.14 - Prob. 14.12ECh. 3.14 - Prob. 14.13ECh. 3.14 - Prob. 14.14ECh. 3.14 - Prove: A relation R on a set A is antisymmetric if...Ch. 3.14 - Give an example of a relation on a set that is...Ch. 3.14 - Drawing pictures of relations. Pictures of...Ch. 3.15 - Prob. 15.1ECh. 3.15 - Prob. 15.2ECh. 3.15 - Prob. 15.3ECh. 3.15 - Prob. 15.4ECh. 3.15 - Prove: If a is an integer, then aa (mod 2).Ch. 3.15 - Prob. 15.6ECh. 3.15 - For each equivalence relation below, find the...Ch. 3.15 - Prob. 15.8ECh. 3.15 - Prob. 15.9ECh. 3.15 - Prob. 15.10ECh. 3.15 - Suppose R is an equivalence relation on a set A...Ch. 3.15 - Prob. 15.12ECh. 3.15 - Prob. 15.13ECh. 3.15 - Prob. 15.14ECh. 3.15 - Prob. 15.15ECh. 3.15 - Prob. 15.16ECh. 3.15 - Prob. 15.17ECh. 3.16 - Prob. 16.1ECh. 3.16 - How many different anagrams (including nonsensical...Ch. 3.16 - Prob. 16.3ECh. 3.16 - Prob. 16.4ECh. 3.16 - Prob. 16.5ECh. 3.16 - Prob. 16.6ECh. 3.16 - Prob. 16.7ECh. 3.16 - Prob. 16.8ECh. 3.16 - Prob. 16.9ECh. 3.16 - Prob. 16.10ECh. 3.16 - Prob. 16.11ECh. 3.16 - Prob. 16.12ECh. 3.16 - Prob. 16.13ECh. 3.16 - Prob. 16.14ECh. 3.16 - How many partitions, with exactly two parts, can...Ch. 3.16 - Prob. 16.16ECh. 3.16 - Prob. 16.17ECh. 3.16 - Prob. 16.18ECh. 3.16 - Prob. 16.19ECh. 3.16 - Prob. 16.20ECh. 3.17 - Prob. 17.1ECh. 3.17 - Prob. 17.2ECh. 3.17 - Prob. 17.3ECh. 3.17 - Prob. 17.4ECh. 3.17 - Prob. 17.5ECh. 3.17 - Prob. 17.6ECh. 3.17 - Prob. 17.7ECh. 3.17 - Prob. 17.8ECh. 3.17 - Prob. 17.9ECh. 3.17 - Prob. 17.10ECh. 3.17 - Prob. 17.11ECh. 3.17 - Prob. 17.12ECh. 3.17 - Prob. 17.13ECh. 3.17 - Prob. 17.14ECh. 3.17 - Prob. 17.15ECh. 3.17 - Consider the following formula: kkn=nk1n1. Give...Ch. 3.17 - Prob. 17.17ECh. 3.17 - Prob. 17.18ECh. 3.17 - Prob. 17.19ECh. 3.17 - Prob. 17.20ECh. 3.17 - Prob. 17.21ECh. 3.17 - Prob. 17.22ECh. 3.17 - Prob. 17.23ECh. 3.17 - Prob. 17.24ECh. 3.17 - Prob. 17.25ECh. 3.17 - Prove: 0nnn+1nn1n+2nn2n++n1n1n+nn0n=n2n.Ch. 3.17 - How many Social Security numbers (see Exercise...Ch. 3.17 - Prob. 17.28ECh. 3.17 - Prob. 17.29ECh. 3.17 - Prob. 17.30ECh. 3.17 - Prob. 17.31ECh. 3.17 - Prob. 17.32ECh. 3.17 - Prob. 17.33ECh. 3.17 - Prob. 17.34ECh. 3.17 - Prob. 17.35ECh. 3.17 - Prob. 17.36ECh. 3.17 - Prob. 17.37ECh. 3.18 - Prob. 18.1ECh. 3.18 - Prob. 18.2ECh. 3.18 - Prob. 18.3ECh. 3.18 - Prob. 18.4ECh. 3.18 - Prob. 18.5ECh. 3.18 - Prob. 18.6ECh. 3.18 - Prob. 18.7ECh. 3.18 - Prob. 18.8ECh. 3.18 - Prob. 18.9ECh. 3.18 - Prob. 18.10ECh. 3.18 - Prob. 18.11ECh. 3.18 - Prob. 18.12ECh. 3.18 - Prob. 18.13ECh. 3.18 - Prob. 18.14ECh. 3.18 - Prob. 18.15ECh. 3.18 - Prob. 18.16ECh. 3.18 - Prob. 18.17ECh. 3.18 - Prob. 18.18ECh. 3.18 - Prob. 18.19ECh. 3.19 - Prob. 19.1ECh. 3.19 - Prob. 19.2ECh. 3.19 - Prob. 19.3ECh. 3.19 - Prob. 19.4ECh. 3.19 - How many five-letter words can you make in which...Ch. 3.19 - This problem asks you to give two proofs for...Ch. 3.19 - Prob. 19.7ECh. 3.19 - Prob. 19.8ECh. 3.19 - Prob. 19.9ECh. 3.19 - Prob. 19.10ECh. 3.19 - Prob. 19.11ECh. 3.19 - Prob. 19.12ECh. 3 - Prob. 1STCh. 3 - Prob. 2STCh. 3 - Prob. 3STCh. 3 - Prob. 4STCh. 3 - Prob. 5STCh. 3 - Prob. 6STCh. 3 - Prob. 7STCh. 3 - Prob. 8STCh. 3 - Prob. 9STCh. 3 - Prob. 10STCh. 3 - Prob. 11STCh. 3 - Prob. 12STCh. 3 - Prob. 13STCh. 3 - Prob. 14STCh. 3 - Prob. 15STCh. 3 - Prob. 16STCh. 3 - Prob. 17STCh. 3 - Prob. 18STCh. 3 - Prob. 19STCh. 3 - Prob. 20STCh. 3 - Prob. 21STCh. 3 - Prob. 22ST
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- brayden knows that his distance from earth to pluto 5.9 times....arrow_forwardC. Since C SNEN 2. Suppose that V and Ware vector spaces over F. Consider the cartesian product V x W, with vector addition and scalar multiplication defined by (V1.W)+(V2, W2) (V1+V2, W₁ + W₂) for every (V1, W1). (V2, W2) EV x W and e€ F. a) Show that V x W is a vector space over F. and (v, w) (cv,₁) b) Suppose that || ||v is a norm on V and || ||w is a norm on W. Show that (v, w) defines a norm on V x W. vy+wwarrow_forwardSolve the following nonlinear system using Newton's method 1 f1(x1, x2, x3)=3x₁ = cos(x2x3) - - 2 f2(x1, x2, x3) = x² - 81(x2 +0.1)² + sin x3 + 1.06 f3(x1, x2, x3) = ex1x2 +20x3 + Using x (0) X1 X2 X3 10π-3 3 = 0.1, 0.1, 0.1 as initial conditioarrow_forward
- Use the graph of the function y = g(x) below to answer the questions. y' -5 -4 4- 3- 27 -2 -3+ -4 x 4 (a) Is g(-2) negative? Yes No (b) For which value(s) of x is g(x) > 0? Write your answer using interval notation. ☐ (c) For which value(s) of x is g(x) = 0? If there is more than one value, separate them with commas. 0,0... (0,0) (0,0) (0,0) (0,0) OVO 0arrow_forwardIt is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥. Here the matrices E4, E3, E2, and, E1 are: E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥arrow_forwardIt is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥. Here the matrices E4, E3, E2, and, E1 are: E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥ What is the determinant of A?arrow_forward
- Use the graph of the function y = f(x) below to answer the questions. 4 3- 2+ 1 -5 -4 -3 -2 -1 3 -1+ -2+ -3+ -4- -5+ (a) Isf (3) negative? Yes No (b) For which value(s) of x is f(x) = 0? If there is more than one value, separate them with commas. (c) For which value(s) of x is f(x) ≤0? Write your answer using interval notation.arrow_forwardSolve the differential equation. 37 6 dy = 2x³y7 - 4x³ dxarrow_forwardName: Date: Transformations of Quadratic Functions y=a(x-h)²+k Describe all transformations for each quadratic function. 1. 2. -2 2 -4 2 2arrow_forward
- 5:45 Done ⚫ myopenmath.com Oli Score on last try: 0 of 12 pts. See Details for more. > Next question You can retry this question. below 384 Draw a graph that models the connecting relationships in the floorplan below. The vertices represent the rooms and the edges represent doorways connecting the rooms. Vertex D represents the outdoors. D A B C Is it possible to find a path through the house that uses each doorway once? If so, enter the sequence of rooms(vertices) visited, for example ABCDA. If it is not possible, enter DNE. DCBACD Question Help: ☑Video 1 > Video 2 Submit Questionarrow_forwardUse the graph of the function y = f(x) below to answer the questions. У 5- 4- 3- 2+ 1- 4 -3 -2 -1 3 4 -N -2 -3- -4 -5- (a) Isf(1) positive? Yes No (b) For which value(s) of x is f(x) > 0? Write your answer using interval notation. (c) For which value(s) of x is f(x) = 0? If there is more than one value, separate them with commas. 0,0,... (0,0) (0,0) (0,0) (0,0) QUO 0arrow_forwardConsider the following Gauss elimination: What is the determinant of A ?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
Elements Of Modern Algebra
Algebra
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Cengage Learning,
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
What is a Relation? | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=hV1_wvsdJCE;License: Standard YouTube License, CC-BY
RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY