On 1 Apr 2008, at 12:40, PR Stanley wrote:
Why can't we have function application implemented outwardly
(inside-out). So
f g x would be applied with
gx first followed by its return value passed to f instead of
putting g x in brackets.
It seems me it may come from an alteration of math conventions:
Normally (x) = x, and function application is written as f(x), except
for a few traditional names, like for example sin x. So if one
reasons that f(x) can be simplified to f x, then f g x becomes short
for f(g)(x) = (f(g))(x).
It is just a convention. In math, particularly in algebra, one
sometimes writes "f of x" as x f or (x)f, so that one does not have
to reverse the order for example in diagrams.
Hans Aberg
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