Koofers

Lecture Notes for CMSC 250 - Discrete Structures with Plane at Maryland (UMD)

Notes Information

Material Type:Class Note
Professor:Plane
Class:CMSC 250 - Discrete Structures
Subject:Computer Science
University:University of Maryland
Term:Spring 2004
Keywords:
  • Identity Function
  • Infinite Sets
  • Bijective Function
  • Contrapositive
  • Generalized
  • Definitions
  • Relationship
  • Propositional
  • Possible Values
  • Composition
Login / Sign Up to View Document
Preview Page 1Preview Page 2Preview Page 3Preview Page 4Preview Page 5Preview Page 6

Sample Document Text

1 Terminology . Domain: set which holds the values to which we apply the function . Co-domain: set which holds the possible values (results) of the function . Range: set of actual values received when applying the function to the values of the domain Function . A "total" function is a relationship between elements of the domain and elements of the co-domain where each and every element of the domain relates to one and only one value in the co-domain . A "partial" function does not need to map every element of the domain. . f: X fiY - f is the function name - X is the domain - Y is the co-domain - x?X y?Y f sends x to y - f(x) = y f of x ; value of f at x ; image of x under f Formal Definitions . Range of f = {y?Y | $x ?X, f(x) = y} - where X is the domain and Y is the co-domain . Inverse image of y = {x ?X| f(x) = y} - the set of things that map to y . Arrow Diagrams - Determining if they are functions using the Arrow Diagram 2 Teminology of Functions . E...

Related Documents

Identity Function Notes
Identity Function Notes
Positive Odd Integers Quiz
Contrapositive Notes
Identity Function Exam
Contrapositive Notes
Best Wishes Notes
Contrapositive Notes
Contrapositive Notes
Contrapositive Notes
Cartesian Product Notes
Cartesian Product Notes
Definitions Notes
Definitions Notes
Infinite Sets Notes
Infinite Sets Notes
155, "/var/app/current/tmp/"