ASCII math notation

A notation widely used on Internet sites, where typing complicated mathematical symbols is rather cumbersome.

Long-hand:

$e^{f\left(x,y,\dots \right)}$

Short-hand:

exp(f(x,y,...))

Long-hand:

$\lim _{r\to c}\left(f\left(r,x,\dots \right)\right)$

Short-hand:

lim(f(r,x,...),r,c)

where c can be a finite quantity, or ∞. The limit from the left is called llim, and the limit from the right rlim.

Long-hand:

$\sum _{r=a}^{b}f\left(x,r,\dots \right)$

$\sum _{r=a\to b}f\left(x,r,\dots \right)$

Short-hand:

sum(f(x,r,...),r,a,b)

Long-hand:

The Taylor series of degree k for f(x,y,...) with respect to x about a.

Short-hand:

tayl(f(x,y,...),x,k,a)

Long-hand:

The Maclaurin series of degree k for f(x,y,...) with respect to x.

Short-hand:

macl(f(x,y,...),x,k)

Long-hand:

$\int _{a}^{b}f\left(x\right)dx$

Short-hand:

int(f(x),x,a,b)

Long-hand:

${\frac {d\left(f\left(x\right)\right)}{dx}}$

Short-hand:

d/dx(f(x))