Math operators in LaTeX

30 commands, each with the package it needs

Symbol reference, latexci

Abstract

Function names set upright with operator spacing. Anything missing can be declared with \operatorname or \DeclareMathOperator from amsmath. Table 1 lists every symbol of the category with its rendered glyph, the command to type and the package to load; each name links to a page with a worked example, and 3 of them to a note comparing the commands that compile.

1The symbols

Glyph	Command	Package	Page
$\sin$	`\sin`	none	Sin
$\cos$	`\cos`	none	Cos
$\tan$	`\tan`	none	Tan
$\arcsin$	`\arcsin`	none	Arcsin
$\arccos$	`\arccos`	none	Arccos
$\arctan$	`\arctan`	none	Arctan
$\sinh$	`\sinh`	none	Sinh
$\cosh$	`\cosh`	none	Cosh
$\tanh$	`\tanh`	none	Tanh
$\cot$	`\cot`	none	Cot
$\sec$	`\sec`	none	Sec
$\csc$	`\csc`	none	Csc
$\exp$	`\exp`	none	Exp
$\log$	`\log`	none	Log
$\ln$	`\ln`	none	Ln
$\det$	`\det`	none	Det
$\dim$	`\dim`	none	Dim
$\ker$	`\ker`	none	Ker
$\gcd$	`\gcd`	none	Gcd
$\deg$	`\deg`	none	Deg
$\arg$	`\arg`	none	Arg
$\hom$	`\hom`	none	Hom
$\operatorname{sgn}$	`\operatorname{sgn}`	`amsmath`	Sgn
$\operatorname{tr}$	`\operatorname{tr}`	`amsmath`	Tr Trace
$\operatorname{rank}$	`\operatorname{rank}`	`amsmath`	Rank
$\operatorname{diag}$	`\operatorname{diag}`	`amsmath`	Diag
$\operatorname{span}$	`\operatorname{span}`	`amsmath`	Span
$\operatorname*{argmax}$	`\operatorname*{argmax}`	`amsmath`	Argmax
$\operatorname*{argmin}$	`\operatorname*{argmin}`	`amsmath`	Argmin
$\operatorname{lcm}$	`\operatorname{lcm}`	`amsmath`	LCM

Table 1. Math operators in LaTeX: glyph, command, package (none means built into LaTeX) and the page for each symbol. Commands go inside math mode unless the page says otherwise.

2Other categories

The same table exists for every family of symbols. To find one by name or by pasting the character, use the symbol search.

Abstract

1The symbols

Glyph	Command	Package	Page
$\sin$	`\sin`	none	Sin
$\cos$	`\cos`	none	Cos
$\tan$	`\tan`	none	Tan
$\arcsin$	`\arcsin`	none	Arcsin
$\arccos$	`\arccos`	none	Arccos
$\arctan$	`\arctan`	none	Arctan
$\sinh$	`\sinh`	none	Sinh
$\cosh$	`\cosh`	none	Cosh
$\tanh$	`\tanh`	none	Tanh
$\cot$	`\cot`	none	Cot
$\sec$	`\sec`	none	Sec
$\csc$	`\csc`	none	Csc
$\exp$	`\exp`	none	Exp
$\log$	`\log`	none	Log
$\ln$	`\ln`	none	Ln
$\det$	`\det`	none	Det
$\dim$	`\dim`	none	Dim
$\ker$	`\ker`	none	Ker
$\gcd$	`\gcd`	none	Gcd
$\deg$	`\deg`	none	Deg
$\arg$	`\arg`	none	Arg
$\hom$	`\hom`	none	Hom
$\operatorname{sgn}$	`\operatorname{sgn}`	`amsmath`	Sgn
$\operatorname{tr}$	`\operatorname{tr}`	`amsmath`	Tr Trace
$\operatorname{rank}$	`\operatorname{rank}`	`amsmath`	Rank
$\operatorname{diag}$	`\operatorname{diag}`	`amsmath`	Diag
$\operatorname{span}$	`\operatorname{span}`	`amsmath`	Span
$\operatorname*{argmax}$	`\operatorname*{argmax}`	`amsmath`	Argmax
$\operatorname*{argmin}$	`\operatorname*{argmin}`	`amsmath`	Argmin
$\operatorname{lcm}$	`\operatorname{lcm}`	`amsmath`	LCM

Table 1. Math operators in LaTeX: glyph, command, package (none means built into LaTeX) and the page for each symbol. Commands go inside math mode unless the page says otherwise.