Solutions of the exercises on
Sets, Relations and Functions
Olena Gryn
[email protected]
November, 2006
Exercises on slide 11
Exercise 1
Argue that A and A are disjoint.
Solution
By definition of the complement, A is a set of those element from the universal set
An instructive exercise on sets and functions
Let f: AB a function (or a map) from the domain A into the range B. The same letter f is also used when we
mean the corresponding function f: P(A)P(B), on the power set P(A) of A, defined by f(X) = cfw_f(x)xX.
Surname 1
Student Name
Professor
Course
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Real Life Application of Periodic Functions
A function is an entity which determines the relationship between two entities. It
describes how an entity responds when another entity interacting with it is stimula