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[LaTeX] Functions

category: Writing | course: LaTeX Math | difficulty:
IN PRINT
QUICK CONTENTS:Intro
1. Modulo

Any characters you put into a math environment, are automatically displayed in an italic math font. There are functions, however, that are typically written with regular letters or some other typical notation. For these functions, LaTeX provides a command that follows the syntax:

\<function>

Some of these functions have text written underneath them. For example, limits have subscripts that tell us which variable is nearing what value, but these are displayed underneath them, instead of next to it. This typical way of rendering subscripts is common among lots of functions, and is automatically used if you provide a subscript with such commands.

Here are all function commands in a nice table:

Function

Function

Function

Function

Function

\arccos

\arcsin

\arctan

\arg

\cos

\cosh

\cot

\coth

\csc

\deg

\det_

\dim

\exp

\gcd_

\hom

\inf_

\key

\lg

\lim_

\liminf_

\limsup_

\ln

\log

\max_

\min_

\Pr_

\sec_

\sin

\sinh

\sup_

\tan

\tanh

 

 

 

Functions with _ behind them use those typical subscripts I explained. You’ll see much more of it next chapter.

$cos(x)^2 + sin(x)^2 = 1$ is wrong, instead use $\cos^2 x + \sin^2 x = 1$

$lim_{x \rightarrow 2}$ is ugly, instead use $\displaystyle \lim_{x \to 2}$
LatexMathFunctions

If your favourite function isn’t listed, you can get the same result with

\operatorname{yourOperator}{x}

If you want your operator to use those typical subscripts, use the star variation.

$\operatorname{pandaFunction}{x+y} = 2x + 2y$
LatexMathCustomOperators

Modulo

Modulo operators work mostly the same, but have two variations.

The \bmod expression command simply adds mod expression, while the \pmod expression command adds more space and some parentheses around it.

$4 = 9 \bmod 5$ is true, but also $4 = 9 \pmod 5$
LatexMathModulo
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