# Symbols:Greek/Omega

## Contents

## Omega

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

- Minuscule: $\omega$

- Majuscule: $\Omega$

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

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

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### 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.