Symbols of Set Theory
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Transcript of Symbols of Set Theory
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List of set symbols of set theory and probability.
Table of set theory symbolsSymbol Symbol Name Meaning / definition Example
set a collection of elementsA = {3,7,9,14},B = {9,14,28}
intersection objects that belong to setA and set B A B = {9,14}
union objects that belong to setA or set B A B = {3,7,9,14,28}
subset subset has fewer elementsor equal to the set {9,14,28} {9,14,28}proper subset /strict subset
subset has fewer elementsthan the set {9,14} {9,14,28}
not subset left set not a subset ofright set {9,66} {9,14,28}
superset set A has more elementsor equal to the set B {9,14,28} {9,14,28}proper superset /strict superset
set A has more elementsthan set B {9,14,28} {9,14}
not superset set A is not a superset ofset B {9,14,28} {9,66}A power set all subsets of A
power set all subsets of A
equality both sets have the samemembers
A={3,9,14},B={3,9,14},A=B
c complement all the objects that do notbelong to set A
relativecomplement
objects that belong to Aand not to B
A = {3,9,14},B = {1,2,3},A \ B = {9,14}
relativecomplement
objects that belong to Aand not to B
A = {3,9,14},B = {1,2,3},A - B = {9,14}
symmetricdifference
objects that belong to A orB but not to theirintersection
A = {3,9,14},B = {1,2,3},A B = {1,2,9,14}
objects that belong to A or A = {3 9 14}1 of 2
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difference intersection A B = {1,2,9,14}
symmetricdifference
objects that belong to A orB but not to theirintersection
A = {3,9,14},B = {1,2,3},A B = {1,2,9,14}
element of set membership A={3,9,14}, 3 Anot element of no set membership A={3,9,14}, 1 Aordered pair collection of 2 elements
cartesian product set of all ordered pairsfrom A and B
cardinality the number of elements ofset A A={3,9,14}, |A|=3
cardinality the number of elements ofset A A={3,9,14}, #A=3
aleph-null infinite cardinality ofnatural numbers set
aleph-one cardinality of countableordinal numbers set
empty set = { } C = {}
universal set set of all possible values
0natural numbers /whole numbers set (with zero)
0 = {0,1,2,3,4,...} 0 0
1natural numbers /whole numbers set (without zero)
1 = {1,2,3,4,5,...} 6 1
integer numbersset
={...-3,-2,-1,0,1,2,3,...}
-6 rational numbersset = {x | x=a/b, a,b } 2/6 real numbers set = {x | - < x