# 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}*

**Symbol**

**Meaning**Example

**{ }**

**Set: a collection of elements**{1,2,3,4}

**A ∪ B**

**Union: in A or B (or both)**C ∪ D = {1,2,3,4,5}

**A ∩ B**

**Intersection: in both A and B**C ∩ D = {3,4}

**A ⊆ B**

**Subset: A has some (or all) elements of B**{3,4,5} ⊆ D

**A ⊂ B**

**Proper Subset: A has some elements of B**{3,5} ⊂ D

**A ⊄ B**

**Not a Subset: A is not a subset of B**{1,6} ⊄ C

**A ⊇ B**

**Superset: A has same elements as B, or more**{1,2,3} ⊇ {1,2,3}

**A ⊃ B**

**Proper Superset: A has B's elements and more**{1,2,3,4} ⊃ {1,2,3}

**A ⊅ B**

**Not a Superset: A is not a superset of B**{1,2,6} ⊅ {1,9}

**A**

^{c}**Complement: elements not in A**D

^{c}= {1,2,6,7}

When = {1,2,3,4,5,6,7}

**A − B**

**Difference: in A but not in B**{1,2,3,4} − {3,4} = {1,2}

*a*∈ A**Element of:**3 ∈ {1,2,3,4}

*a*is in A

*b*∉ A**Not element of:**6 ∉ {1,2,3,4}

*b*is not in A**∅**

**Empty set = {}**{1,2} ∩ {3,4} = Ø

**Universal Set: set of all possible values**

(in the area of interest)

(in the area of interest)

**P**(A)**Power Set: all subsets of A**P({1,2}) = { {}, {1}, {2}, {1,2} }

**A = B**

**Equality: both sets have the same members**{3,4,5} = {5,3,4}

**A×B**

**Cartesian Product**

(set of ordered pairs from A and B){1,2} × {3,4}

(set of ordered pairs from A and B)

= {(1,3), (1,4), (2,3), (2,4)}

**|A|**

**Cardinality: the number of elements of set A**|{3,4}| = 2

**|**

**Such that**{

*n*|

*n*> 0 } = {1,2,3,...}