The flashcards below were created by user
theultimatbadass
on FreezingBlue Flashcards.

Name and describe the attributes of a set.
 Element
 A word used to describe an object located within the set. For example given C={1,2,3...10} then any number from 1 to 10 is an element of C or more specifically 2 is an element of C.
 Index
 A means of understanding the range of the set. An example would be A={for xEN  x>2}
 Element A would include all natural integers greater than 2.

What is a set?
A set is collection of objects. These objects can be literal like furniture in a room or names of people who were famous or they can be more abstract such as numbers.

What is a subset?
A subset is a word to describe a set who's elements are found in another set. For example set A={1,2} and set B={1,2,3} thus A is a subset of B and can be written as such A c B.

Describe the word compliment in relation to sets.
If a set F={1,2,3} then F complement will contain all numbers that are not in F. We can illustrate a compliment with a tiny c above the set name.

What is the compliment of set A=R (R is a set of all numbers)
The empty set or Ac={0}

What is a Cartesian product?
A means of relating 2 elements from to 1 element within a set.

What is a power set?
 A set of subsets against a given set as such given set A={1,2,3} then
 P(A)={0,(1),(2),(3),(1,2),(1,3),(2,3),(1,2,3)}
 The power set will always have 2^(number of elements for a given set)

Describe 3 kinds of set classifications (These are based on how the elements relate to one another within the set).
 Reflexive
 For where in a set there exists x then there must exist y as such it is equal to x.
 Symmetry
 For where in a set there exists x and y then there must exist for elements y and x.
 Transitivity
 For where in a set there exists x and y then there is y and x and so x and z.

Describe set union and intersect.
 Union
 The grouping of all unique elements from 2 or more sets to form a new set.
 Intersect
 The grouping of elements from 2 or more sets where the elements are found in all sets.

