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16.3 Math functions

These commands produce roman function names in math mode with proper spacing.

\arccos ¶

Inverse cosine

\arcsin ¶

Inverse sine

\arctan ¶

Inverse tangent

\arg ¶

Angle between the real axis and a point in the complex plane

\bmod ¶

Binary modulo operator, used as in \( 5\bmod 3=2 \)

\cos ¶

Cosine

\cosh ¶

Hyperbolic cosine

\cot ¶

Cotangent

\coth ¶

Hyperbolic cotangent

\csc ¶

Cosecant

\deg ¶

Degrees

\det ¶

Determinant

\dim ¶

Dimension

\exp ¶

Exponential

\gcd ¶

Greatest common divisor

\hom ¶

Homomorphism

\inf ¶

Infinum

\ker ¶

Kernel

\lg ¶

Base 2 logarithm

\lim ¶

Limit

\liminf ¶

Limit inferior

\limsup ¶

Limit superior

\ln ¶

Natural logarithm

\log ¶

Logarithm

\max ¶

Maximum

\min ¶

Minimum

\pmod ¶

Parenthesized modulus, as used in \( 5\equiv 2\pmod 3 \)

\Pr ¶

Probability

\sec ¶

Secant

\sin ¶

Sine

\sinh ¶

Hyperbolic sine

\sup ¶

sup

\tan ¶

Tangent

\tanh ¶

Hyperbolic tangent

The amsmath package adds improvements on some of these, and also allows you to define your own. The full documentation is on CTAN, but briefly, you can define an identity operator with \DeclareMathOperator{\identity}{id} that is like the ones above but prints as ‘id’. The starred form \DeclareMathOperator*{\op}{op} sets any limits above and below, as is traditional with \lim, \sup, or \max.