# 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 $\struct {\N, \le}$ is denoted $\omega$ (**omega**).

## Relation

- $\omega$

Used in some sources to denote a general relation.