Symbols:Greek/Omega

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Omega

The $24$th and final letter of the Greek alphabet.

Minuscule: $\omega$
Majuscule: $\Omega$

The $\LaTeX$ code for \(\omega\) is \omega .

The $\LaTeX$ code for \(\Omega\) is \Omega .


Sample Space

$\Omega$


Let $\mathcal E$ be an experiment.


The sample space of $\mathcal E$ is usually denoted $\Omega$ (Greek capital omega), and is defined as the set of all possible outcomes of $\mathcal E$.


Elementary Event

$\omega$


Let $\mathcal E$ be an experiment.


An elementary event of $\mathcal E$, often denoted $\omega$ (Greek lowercase omega) is one of the elements of the sample space $\Omega$ (Greek capital omega) of $\mathcal E$.


Order Type of Natural Numbers

$\omega$


The order type of $\left({\N, \le}\right)$ is denoted $\omega$ (omega).


Relation

$\omega$

Used in some sources, for example 1982: P.M. Cohn: Algebra Volume 1 (2nd ed.), to denote a general relation.