# Sets

## Constants

Symbol Value
NaturalNumber $\N$ $0, 1, 2, 3…$
Integer $\Z$ $… -2, -1, 0, 1, 2…$
RationalNumber $\Q$ Can be written as $$\frac{p}{q}$$ where $$p, q \in \Z$$
AlgebraicNumber $\mathbb{A}$ Is the root of a polynomial
RealNumber $\R$
ComplexNumber $\C$
EmptySet $$\varnothing$$ or $$\emptyset$$

## Functions

Function Operation
CartesianProduct Aka the product set, the set direct product or cross product. Q173740
Intersection $A \cap B$ Q185837
Complement $A \complement B$ Return the elements of the first argument that are not in any of the subsequent sets. Q242767
Union $A \cup B$ Q173740
SymmetricDifference $A \triangle B$ Disjunctive union = $$(A \setminus B) \cup (B \setminus A)$$ Q1147242
Subset $A \subset B$
SubsetEqual $A \subseteq B$
SetMinus $A \setminus B$ Q18192442