Math Formulas Complex numbers Sets of Numbers Set Identities


Math Formulas Sets of Numbers

Definitions:

N : Natural numbers
N0 : Whole numbers
Z : Integers
Z+ : Positive integers
Z : Negative integers
Q : Rational numbers
C : Complex numbers

Formulas:

Natural numbers (counting numbers )

N={1,2,3,…}

Whole numbers ( counting numbers with zero )

N0={0,1,2,3,…}

Integers ( whole numbers and their opposites and zero )

Z={…,−2,−1,0,1,2,…}


Z+=N={1,2,…}


Z={…,−3,−2,−1}


Z=Z0Z

Irrational numbers: Non repeating and nonterminating integers

Real numbers: Union of rational and irrational numbers
Complex numbers:

C={x+iy | xR  and  yR}


NN0ZQRC