Symbols:Z

General Variable

 * $$z$$

Used to denote a general variable, usually in conjunction with other variables $$x$$ and $$y$$.

Complex Variable
Used to denote a general variable in the complex plane.

The LaTeX code for $$z$$ is z.

Random Variable

 * $$Z$$

Used to denote a general random variable, usually in conjunction with another random variables $$X$$ and $$Y$$.

The LaTeX code for $$Z$$ is Z.

The Set of Integers

 * $$\Z$$

The set of integers:
 * $$\Z = \left\{{\ldots, -3, -2, -1, 0, 1, 2, 3, \ldots}\right\}$$.

From the German Zahlen, which means (whole) numbers.

The LaTeX code for $$\Z$$ is \Z.

The Set of Non-Zero Integers

 * $$\Z^*$$

The set of non-zero integers:
 * $$\Z^* = \left\{{\ldots, -3, -2, -1, 1, 2, 3, \ldots}\right\}$$.

The LaTeX code for $$\Z^*$$ is \Z^*.

The Set of Coprime Integers Modulo m

 * $$\Z'_m$$

The set $$\Z'_m$$ is the set of all integers modulo $m$ which are prime to $$m$$:
 * $$\Z'_m = \left\{{\left[\!\left[{k}\right]\!\right]_m \in \Z_m: k \perp m}\right\}$$.

See Set of Coprime Integers.

The LaTeX code for $$\Z'_m$$ is \Z'_m.

The Set of Integer Multiples

 * $$n \Z$$

The Set of Integer Multiples $$n \Z$$ is defined as:
 * $$\left\{{x \in \Z: n \backslash x}\right\}$$

for some $$n \in \N$$.

That is, it is the set of all integers which are divisible by $$n$$, that is, all multiples of $$n$$.

The LaTeX code for $$n \Z$$ is n \Z.

The Gaussian Integers

 * $$\Z \left[{i}\right]$$

The LaTeX code for $$\Z \left[{i}\right]$$ is \Z \left[{i}\right].

Subsets of Integers

 * $$Z \left({n}\right)$$

Used by some authors to denote the set of all integers between $$1$$ and $$n$$ inclusive:
 * $$Z \left({n}\right) = \left\{{x \in \Z: 1 \le x \le n}\right\} = \left\{{1, 2, \ldots, n}\right\}$$

That is, an alternative to Subsets of Natural Numbers $$\N^*_n$$.

The LaTeX code for $$Z \left({n}\right)$$ is Z \left({n}\right).