On Sat, 02 Dec 2006 07:10:41 -0800, David Joyner <[EMAIL PROTECTED]>
wrote:
>
> Short of a clever python trick which is beyond me, I think to
> implement calculus in an insanely easy way, you must fiddle with the
> preprocessor.
>
> To illustrate a possible solution (as a starting point for a discussion,
> not that I think this will be done), I'll mention an idea of mine which
> got shot
> down my everyone when I posted it awhile back (maybe last summer):
> Change the preparser so that when you want to define (say) a function
> like f(x) = sin(x), instead of having to type
>
> sage: f = maxima("sin(x)")
> sage: f.integrate("x")
>
> they could type
>
> sage f:= x->sin(x)
> sage: integrate(f)
>
> The ":=" would clue the parser that a new type of function is going to be
> inputted. I believe this type of notation is used by both gap and maple.
> Some simple way of inputting maxima functions is needed and IMHO
> this is the main problem to making the calculus commands in SAGE
> "insanely easy".
I still disagree. Wouldn't this be easier:
sage: f = sin(x)
sage: integrate(f)
cos(x)
This is almost already implemented in SAGE. In fact the first line
works, but the second isn't implemented yet.
We might want to pre-define formal indeterminates a,b,c,...,z on
startup of SAGE, so users can use any of them in such expressions.
William
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