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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} |
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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} |
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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} |
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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} |
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Power Sets |
P(x) The set of ALL subsets to x p(1,2) = { { }, {1}, {2}, {1,2}
P( lxl ) = 2^x |
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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) |
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lN |
Natural numbers {1,2,3,4,5, ...} |
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Z/ |
Integers (0, -1, 1, -2, 2, ...} |
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\Q |
Rationals {a over b such that a and b are elements of Z/} |
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lR |
All real numbers All numbers on a number line, rational and irrational. |
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Z+ |
all positive integers |