internet shorthand notation

Internet shorthand notation is 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,...))

Most commonly:

e^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. Most commonly:

lim_r->c f(r,x,...)

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))

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