One of the numbers ..., , , 0, 1, 2, .... The Set of Integers forms a Ring which is
denoted . A given Integer may be Negative (), Nonnegative (),
Zero (), or Positive (
). The Ring has Cardinality of
Aleph-0. The Generating Function for the Nonnegative Integers is
There are several symbols used to perform operations having to do with conversion between Real Numbers and integers. The symbol (``Floor '') means ``the largest integer not greater than ,'' i.e., int(x) in computer parlance. The symbol means ``the nearest integer to '' (Nint), i.e., nint(x) in computer parlance. The symbol (``Ceiling '') means ``the smallest integer not smaller ,'' or -int(-x), where int(x) is the Integer Part of .
See also Algebraic Integer, Almost Integer, Complex Number, Counting Number, Cyclotomic Integer, Eisenstein Integer, Gaussian Integer, N, Natural Number, Negative, Positive, Radical Integer, Real Number, Whole Number, Z, Z-, Z+, Z*, Zero