Fine-tuning formulas

If we go beyond writing variables and basic math operators, we may need many symbols for special purposes: certain relation signs, unary and binary operators, function-like operators, sum and integral symbols and variants of the latter, arrows, and many more. LaTeX and additional packages offer thousands of symbols for many purposes. We shall have a look at some of them. But firstly, let's figure out how to write functions.

Using operators

Trigonometric functions, logarithm functions, and other analytic and algebraic functions are commonly written with upright Roman letters. Simply typing log would otherwise look like a product of the three variables, namely, l, o, and g. To ease the input, there are commands for many common functions or so called operators. Here's an alphabetical list of the predefined ones:

\arccos, \arcsin, \arctan, \arg, \cos, \cosh, \cot, \coth, \scs, \deg, \det, \dim, \exp, \gcd, \hom, \inf, \ker, \lg, \lim, \liminf, \limsup, \ln, \log, \max, \min...