Set Operations Math Example

Here are some useful rules and definitions for working with sets.

Set operations math example. Duplicates don t contribute anythi ng new to a set so remove them. We can list each element or member of a set inside curly brackets like this. In mathematics a set is a well defined collection of distinct objects considered as an object in its own right. The symbol is employed to denote the union of two sets.

Same with b and b and c and c. Thus the set a b read a union b or the union of a and b is defined as the set that consists of all elements belonging to either set a or set b or both. The arrangement of the objects in the set does not matter. Addition subtraction addition of sets a and b referred to as minknowski addition is the set in whose elements are the sum of each possible pair of elements from the 2 sets that is one element is from set a and other is from set b.

The order of the elements in a set doesn t contribute. For any one of the set operations we can expand to set builder notation and then use the logical equivalences to manipulate the conditions. Now you don t have to listen to the standard you can use something like m to represent a set without breaking any mathematical laws watch out you can get π years in math jail for dividing by 0 but this notation is pretty nice and easy to follow so why not. Be careful with the other operations.

A set may be denoted by placing its objects between a pair of curly braces. So for example a is a set and a is an element in a. Discrete mathematics sets german mathematician g. An introduction to sets set operations and venn diagrams basic ways of describing sets use of set notation finite sets infinite sets empty sets subsets universal sets complement of a set basic set operations including intersection and union of sets and applications of sets with video lessons examples and step by step solutions.

Symbols save time and space when writing. Cantor introduced the concept of sets. Since we re doing the same manipulations we ended up with the same tables. Common symbols used in set theory.

He had defined a set as a collection of definite and distinguishable objects selected by the mean. For example suppose that committee a consisting of the 5 members jones blanshard nelson smith and hixon meets with committee b. Above is the venn diagram of a c. A set is a collection of things usually numbers.

For example the numbers 2 4 and 6 are distinct objects when considered separately. 4 cs 441 discrete mathematics for cs m. Two sets are equal if and only if they have the same elements.