# Math Symbols

Classified in Mathematics

Written at on English with a size of 3.2 KB.

In the examples C = {1,2,3,4} and D = {3,4,5}

SymbolMeaningExample{ }Set: a collection of elements{1,2,3,4}A ∪ BUnion: in A or B (or both)C ∪ D = {1,2,3,4,5}A ∩ BIntersection: in both A and BC ∩ D = {3,4}A ⊆ BSubset: A has some (or all) elements of B{3,4,5} ⊆ DA ⊂ BProper Subset: A has some elements of B{3,5} ⊂ DA ⊄ BNot a Subset: A is not a subset of B{1,6} ⊄ CA ⊇ BSuperset: A has same elements as B, or more{1,2,3} ⊇ {1,2,3}A ⊃ BProper Superset: A has B's elements and more{1,2,3,4} ⊃ {1,2,3}A ⊅ BNot a Superset: A is not a superset of B{1,2,6} ⊅ {1,9}AcComplement: elements not in ADc = {1,2,6,7}
When = {1,2,3,4,5,6,7}A − BDifference: in A but not in B{1,2,3,4} − {3,4} = {1,2}∈ AElement of: a is in A3 ∈ {1,2,3,4}∉ ANot element of: b is not in A6 ∉ {1,2,3,4}Empty set = {}{1,2} ∩ {3,4} = Ø Universal Set: set of all possible values
(in the area of interest)
P(A)Power Set: all subsets of AP({1,2}) = { {}, {1}, {2}, {1,2} }A = BEquality: both sets have the same members{3,4,5} = {5,3,4}A×BCartesian Product
(set of ordered pairs from A and B)
{1,2} × {3,4}
= {(1,3), (1,4), (2,3), (2,4)}|A|Cardinality: the number of elements of set A|{3,4}| = 2   |Such thatn | n > 0 } = {1,2,3,...}