# Math set theory

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

1. 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.
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.
3. 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.
4. 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 above the set name.
5. What is the compliment of set A=R (R is a set of all numbers)
The empty set or  Ac={0}
6. What is a Cartesian product?
A means of relating 2 elements from to 1 element within a set.
7. 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)
8. 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.
9. 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.
 Author: theultimatbadass ID: 217661 Card Set: Math set theory Updated: 2013-05-04 19:18:35 Tags: math set theory relations power partitions union intersect cartesian product Folders: Description: A set of flash cards created for personal use based on the studies within a undergraduate computer science course Show Answers: