- $\ln x$ — the natural logarithm, also denoted in many sources as $\log x$.
- Direct trigonometric functions are denoted as $\sin x,\,\cos x,\,\tan x,\,\cot x$.
- Inverse trigonometric functions are denoted as $\arcsin x,\,\arccos x,\,\arctan x,\,\operatorname{arccot}x$ (and never as $\tan^{-1}x$, to avoid any confusion with powers).
- Parentheses around the argument is usually omitted if the next term is an integer, named constant, variable, radical, or function name, e.g: $\ln2,\,\ln\pi,\,\ln\sqrt{2\pi},\,\ln\sin x,\,\ln\ln x$.
- Expressions like $\ln2\ln3$ should be understood as $(\ln(2))\cdot(\ln(3))$.
- Expressions like $\ln^53,\,\sin^2x$ should be understood as $(\ln(2))^5,\,(\sin(x))^2$.
- $\zeta(x)$ — the Riemann zeta function.
- $\zeta_3,\,\zeta_5,\,$ etc. — values of $\zeta(x)$ for odd positive integer arguments. Values at even arguments are always expanded in terms of $\pi$.

## Monday, October 13, 2014

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