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9/29/21, 2:21 PM Set symbols of set theory (Ø,U,{},∈,...) RapidTables Home › Math › Math symbols › Set symbols Set Theory Symbols List of set symbols of set theory and probability. Table of set theory symbols Symbol Meaning / definition Symbol Name Example set a collection of elements A = {3,7,9,14}, B = {9,14,28} such that so that A = {x | x∈ , x<0} A⋂ B intersection objects that belong to set A and set B A ⋂ B = {9,14} A⋃ B union objects that belong to set A or set B A⋃B= {3,7,9,14,28} A⊆ B subset A is a subset of B. set A is included in set B. {9,14,28} ⊆ {9,14,28} A⊂ B proper subset / strict subset A is a subset of B, but A is not equal to B. {9,14} ⊂ {9,14,28} A⊄ B not subset set A is not a subset of set B {9,66} ⊄ {9,14,28} A⊇ B superset A is a superset of B. set A includes set B {9,14,28} ⊇ {9,14,28} A⊃ B proper superset / strict superset A is a superset of B, but B is not equal to A. not superset set A is not a superset of set B power set all subsets of A power set all subsets of A Set symbols P(A) power set all subsets of A Calculus symbols ℙ(A) power set all subsets of A {} | A⊅ B A 2 {9,14,28} ⊅ {9,66} Geometry symbols Statistical symbols both sets have the same members Ac complement all the objects that do not belong to set A A' complement Symbol Math symbols Algebra symbols equality A=B {9,14,28} ⊃ {9,14} MATH SYMBOLS Symbol Name all the objects that do not belong to set A Meaning / definition objects that belong to A https://www.rapidtables.com/math/symbols/Set_Symbols.html Logic symbols Number symbols A={3,9,14}, B={3,9,14}, A=B Greek symbols Roman numerals RAPID TABLES Recommend Site Example A = {3,9,14}, Send Feedback About 1/3 9/29/21, 2:21 PM Set symbols of set theory (Ø,U,{},∈,...) A\B relative complement objects that belong to A and not to B A-B relative complement objects that belong to A and not to B A = {3,9,14}, B = {1,2,3}, A - B = {9,14} A∆B symmetric difference objects that belong to A or B but not to their intersection A = {3,9,14}, B = {1,2,3}, A ∆ B = {1,2,9,14} A⊖ B symmetric difference objects that belong to A or B but not to their intersection A = {3,9,14}, B = {1,2,3}, A ⊖ B = {1,2,9,14} a∈A element of, belongs to set membership A={3,9,14}, 3 ∈ A x∉A not element of no set membership A={3,9,14}, 1 ∉ A (a,b) ordered pair collection of 2 elements A×B cartesian product set of all ordered pairs from A and B A×B = {(a,b)|a∈A , b∈B} |A| cardinality the number of elements of set A A={3,9,14}, |A|=3 #A cardinality the number of elements of set A A={3,9,14}, #A=3 | vertical bar such that A={x|3<x<14} ℵ0 aleph-null infinite cardinality of natural numbers set ℵ1 aleph-one cardinality of countable ordinal numbers set Ø empty set Ø = {} universal set set of all possible values B = {1,2,3}, A \ B = {9,14} About A=Ø ℕ0 natural numbers / whole numbers set (with zero) 0 = {0,1,2,3,4,...} 0∈ 0 ℕ1 natural numbers / whole numbers set (without zero) 1 = {1,2,3,4,5,...} 6∈ 1 = -6 ∈ {...-3,-2,-1,0,1,2,3,...} ℤ integer numbers set ℚ rational numbers set = {x | x=a/b, a,b∈ and b≠0} 2/6 ∈ ℝ real numbers set = {x | -∞ < x <∞} 6.343434 ∈ ℂ complex numbers set = {z | z=a+bi, 6+2i ∈ -∞<a<∞, -∞<b<∞} Statistical symbols ► See also Probability & statistics symbols Math symbols https://www.rapidtables.com/math/symbols/Set_Symbols.html 2/3 9/29/21, 2:21 PM Set symbols of set theory (Ø,U,{},∈,...) Math symbols Logic symbols Probability & statistics Write how to improve this page Your message ... Submit Feedback Home | Web | Math | Electricity | Calculators | Converters | Tools © RapidTables.com | About | Terms of Use | Privacy Policy | Manage Cookies https://www.rapidtables.com/math/symbols/Set_Symbols.html 3/3