LaTeX Omega (ω) - Complete Guide

The Greek letter omega (ω/Ω) is used for angular frequency, resistance, and as the last letter of the Greek alphabet.

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ω

Omega

LaTeX Code

No package required

Recommended
\omega

Lowercase omega

No package required

Recommended
\Omega

Uppercase omega (resistance unit)

What is the LaTeX Omega?

Omega is the twenty-fourth and final letter of the Greek alphabet. Lowercase ω represents angular frequency in physics and mathematics. Uppercase Ω is the symbol for electrical resistance (ohms) and also represents the sample space in probability. It is one of the most commonly used Greek letters.

How to Use Omega in LaTeX

Method 1: Using \omega

✅No package required

Lowercase omega

Example: Using \omega

latex
\documentclass{article}

\begin{document}

% Using the Omega
Text with \omega

\end{document}

Method 2: Using \Omega

✅No package required

Uppercase omega (resistance unit)

Example: Using \Omega

latex
\documentclass{article}

\begin{document}

% Using the Omega
Text with \Omega

\end{document}

Common Use Cases

The Omega symbol is commonly used in the following contexts:

Angular Frequency

Represents angular frequency in oscillations.

Code

Angular frequency: $\omega = 2\pi f$, where $f$ is frequency

Output

Angular frequency: ω = 2πf, where f is frequency

Electrical Resistance

Uppercase Omega for ohms (electrical resistance).

Code

Resistance: $R = 100\Omega$ (ohms)

Output

Resistance: R = 100Ω (ohms)

Probability Sample Space

Used for the sample space in probability.

Code

Sample space: $\Omega = \{1, 2, 3, 4, 5, 6\}$

Output

Sample space: Ω = {1, 2, 3, 4, 5, 6}

Wave Equation

Used in wave and oscillation equations.

Code

Wave: $y = A\sin(\omega t + \phi)$

Output

Wave: y = A sin(ωt + φ)

Complete Examples

Simple Harmonic Motion

Angular frequency in harmonic motion

latex
\documentclass{article}
\begin{document}

For simple harmonic motion: $x(t) = A\cos(\omega t + \phi)$, where $\omega$ is the angular frequency.

\end{document}

Electrical Circuit

Omega symbol for ohms

latex
\documentclass{article}
\begin{document}

The impedance of an AC circuit with resistance $R$ and reactance $X$ is $Z = \sqrt{R^2 + X^2}$ in ohms ($\Omega$).

\end{document}

Frequently Asked Questions

Which method should I use?

We recommend using the method marked as "Recommended" above. However, the best method depends on your specific needs:

  • \omega: Lowercase omega
  • \Omega: Uppercase omega (resistance unit)

Where do I use this symbol?

This symbol can be used:

  • In mathematical equations (math mode)
  • In regular text (if using text mode)
  • In various document environments

Can I use this in display mode?

Yes, symbols that work in math mode (between $ $) also work in display mode (between $$ $$). This allows you to display the symbol on its own line with larger formatting.

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