LaTeX Mu (μ) - Complete Guide

The Greek letter mu (μ) is used in mathematics and physics for mean, coefficient of friction, and micro prefix.

Symbol Preview

μ

Mu

LaTeX Code

No package required

Recommended
\mu

Standard mu symbol

What is the LaTeX Mu?

Mu is the twelfth letter of the Greek alphabet. In mathematics, it represents the mean (average) of a distribution. In physics, it often represents the coefficient of friction. In SI units, the micro prefix (μ) represents one millionth.

How to Use Mu in LaTeX

Method 1: Using \mu

No package required

Standard mu symbol

Example: Using \mu

latex
\documentclass{article}

\begin{document}

% Using the Mu
Text with \mu

\end{document}

Common Use Cases

The Mu symbol is commonly used in the following contexts:

Mean/Average

Represents the mean of a distribution.

Code

Mean: $\mu = \frac{1}{n}\sum_{i=1}^{n} x_i$

Output

Mean: μ = (1/n)Σx_i

Coefficient of Friction

Used in physics for friction.

Code

Friction force: $F = \mu N$

Output

Friction force: F = μN

Micro Prefix

Represents one millionth in SI units.

Code

Wavelength: $\lambda = 650$ μm (micrometers)

Output

Wavelength: λ = 650 μm (micrometers)

Complete Examples

Mean of Normal Distribution

Normal distribution using mu

latex
\documentclass{article}
\begin{document}

For a normal distribution with mean $\mu$ and standard deviation $\sigma$, the probability density function is:

$$f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{(x-\mu)^2}{2\sigma^2}}$$

\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:

  • \mu: Standard mu symbol

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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