Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Related questions
Question
For every element r in A, there is an element y in B such that (x, y) is in F. Can you explain how does this differ from a relation?
Please answer this in a couple sentences NO NEED TO SHOW PROOF! AGAIN NO PROOF PLEASE!!!
Transcribed Image Text:Functions
In Section 1.2 we showed that ordered pairs can be defined in terms of sets and we defined
Cartesian products in terms of ordered pairs. In this section we introduced relations as subsets
of Cartesian products. Thus we can now define functions in a way that depends only on the
concept of set. Although this definition is not obviously related to the way we usually work
with functions in mathematics, it is satisfying from a theoretical point of view, and computer
scientists like it because it is particularly well suited for operating with functions on a computer.
Definition
A function F from a set A to a set B is a relation with domain A and co-domain B
that satisfies the following two properties:
1. For every element x in A, there is an element y in B such that (x, y) E F.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps with 1 images
Knowledge Booster
Similar questions
- Let - be a relation on N defined as: a ~b if a < (b – 1). (i) Is ~ reflexive? Prove your answer. (ii) Is ~ (iii) Is ~ transitive? Prove your answer. symmetric? Prove your answer.arrow_forwardLet S be a nonempty subset of Z and let R be a relation defined on S by xRy if 3 | (x + 2y). If S = {−7, −6, −2, 0, 1, 4, 5, 7}, then what are the distinct equivalence classes in this case? Please show how you find themarrow_forwardThe relation R on the set of all integer numbers is defined by (x, y) = R_if and only if |x| = [y]. Then, R is an equivalence relation. True Falsearrow_forward
- For every element x in A, there is an element in y is B such that (x,y)∈F. QUESTION: How does this differ from a relation? Can you please help me answer this question for me becuase im confused? NO PROOF IS NEEDED IN THIS ANSWER PLEASE JUST ANSWER THIS IN A COUPLE QUESTION OR A PARAGRAPH.arrow_forwardPlease answer 3, 4 based on number onearrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
Numerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY 
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,