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11 Cards in this Set

  • Front
  • Back

A n B

Intersection


Is the set containing the elements that belong to BOTH A and B, if there is none then { }.


{1,2,3} n {2,4} = {2}

A u B

Union


Is the set containing the elements that belong to A OR B


{1,2,3} u {2,4} = {1,2,3,4}

A'

Compliment


The compliment of A is U \ A


Everything that is NOT in A but belongs to the specified universe


ex. let U be Z/


{5,6,7,8,...} = {...,-1,0,1,2,3,4}

B \ A


B - A

Reletive Difference


Is the set of elements that are in B but NOT in A


{1,2,3} \ {2,4} = {1,3}

Power Sets

P(x) The set of ALL subsets to x


p(1,2) = { { }, {1}, {2}, {1,2}



P( lxl ) = 2^x

l x l

Cardinality


The number of elements x. If X is infinite then lxl is either countably infinte (Can list with a pattern) or uncountable (no pattern, just random)

lN

Natural numbers


{1,2,3,4,5, ...}

Z/

Integers


(0, -1, 1, -2, 2, ...}

\Q

Rationals


{a over b such that a and b are elements of Z/}

lR

All real numbers


All numbers on a number line, rational and irrational.

Z+

all positive integers