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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`

.