Operators in LaTex

Introduction

Trigonometrical functions (sin, cos, tan, etc.), logarithmic function (log), etc. are written in LaTex using some special command.

Examples using Mathematical operators:

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\[
\sin(a + b ) = \sin(a)\cos(b) + \cos(a)\sin(b)
\]

Output:
$$ \sin(a + b ) = \sin(a)\cos(b) + \cos(a)\sin(b) $$

Note: This operator commands use Roman characters for printing the function name instead of italics.

Operators in different contexts

Few operators in LaTex are managed in an extraordinary way.

It can include a subscript as shown below:

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\[
\lim_{a \rightarrow 0 } \frac{f(a+h)-f(a)}{h}
\]

Output:
$$ \lim_{a \rightarrow 0 } \frac{f(a+h)-f(a)}{h} $$

Refer Reference Guide for a complete list of supported operators in LaTex.

Defining your own operators

If you would like to add/include your own personalized operators to be displayed in Roman font rather than italics. You can use \DeclareMathOperator

Example using personalized operators :

\documentclass{article}
 
\usepackage{amssymb}
\usepackage{amsmath}
 
\DeclareMathOperator{\My}{M_{\mathcc{K}}}
 
\begin{document}
 
 Defining your own operator.
 
\[
y \in \My
\]
\end{document}

The \DeclareMathOperator command needs two arguments,

New operator name
Tex to be displayed

Reference Guide of operators in LaTex

List of mathematical operators supported in LaTex:

Operator	Render in LaTex
\arcsin	$$ \arcsin $$
\arctan	$$ \arctan $$
\arg	$$ \arg $$
\cos	$$ \cos $$
\cosh	$$ \cosh $$
\cot	$$ \cot $$
\coth	$$ \coth $$
\csc	$$ \csc $$
\deg	$$ \deg $$
\det	$$ \det $$
\dim	$$ \dim $$
\exp	$$ \exp $$
\gcd	$$ \gcd $$
\hom	$$ \hom $$
\ker	$$ \ker $$
\lg	$$ \lg $$
\lim	$$ \lim $$
\liminf	$$ \liminf $$
\limsup	$$ \limsup $$
\ln	$$ \ln $$
\log	$$ \log $$
\max	$$ \max $$
\min	$$ \min $$
\Pr	$$ \Pr $$
\sec	$$ \sec $$
\sin	$$ \sin $$
\sinh	$$ \sinh $$
\sup	$$ \sup $$
\tan	$$ \tan $$
\tanh	$$ \tanh $$

Table of Contents

Introduction

Operators in different contexts

Defining your own operators

Reference Guide of operators in LaTex