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ASCII math notation

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

Long-hand:

e f(x,y,...)

Short-hand:

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

Long-hand:

limrc(f(r,x,...))

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:

r=ab f(x,r,...)
r=a to b f(x,r,...)

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:

ab f(x) dx

Short-hand:

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

Long-hand:

d(f(x))/dx

Short-hand:

d/dx(f(x))