07/17/2008, 10:47 AM

Code:

`-- What does f o g mean?`

We use the iteration paradigm.

Given two functions f(x) and g(x), then this is a short-form for f(g(x))

Note, that f o g =/= g o f in the general case (Non-commutativity)

-- What does f°h o f = f o f°h mean?

If the special case

g(x) = f°h(x)

is given, then

g(f(x)) = f(g(x)) = f°(h+1)(x)

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Gottfried Helms, Kassel