sets Flashcards

1
Q

what is a set

A

an unordered set of elements without duplicates

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2
Q

A ∪ B

A

union; combines two sets

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3
Q

A ∩ B

A

intersection; elements that are in both A and B

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4
Q

A ⊆ B

A

subset; when every element in A is in B
(super set is the other way round)

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5
Q

A ⊂ B

A

proper subset; when every element in A is in B but they’re not equal (B has more elements)

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6
Q

A ⊄ B

A

not a subset

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7
Q

A − B

A

difference

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8
Q

Ø

A

empty set ({})

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9
Q

U

A

universal set; all possible values in the area of interest

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10
Q

A×B

A

Cartesian product; everything in A should by but in an ordered pair with everything in B

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11
Q

|A|

A

cardinality; the number of elements in the set

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12
Q

A

for all

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13
Q

A

there exists

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14
Q

a ∈ A

A

a is an element of A

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15
Q

disjoint sets

A

sets with no elements in common

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16
Q

singleton

A

a set with only one element

17
Q

complement set

A

the difference between a universal set and another set