Subject: Re: Topic Appropriateness
From: Kirby Urner (urner@alumni.Princeton.EDU)
Date: Sat Sep 23 2000 - 14:11:44 EDT
>Also, specifically with regard to integration/differentiation,
>I think more could be done than is with the movie metaphor,
>instead of always area under a curve. Snap shots, even with
>fast film, involve delta t (time interval). A movie camera
>is like a differentiator, taking snaps of changes (dF(t)/dt).
>A movie projector is like an integrator, playing back the
>changes to show a 'running total' (the cummulative effect).
>
>Kirby
Some of these ideas are implemented at:
http://www.inetarena.com/~pdx4d/ocn/precalc.html (a discrete
math approach to differentiation and integration -- nothing
we haven't seen a million times, just this time using some
state of the art software tools: Python + Povray).
-- note Java "movie applet" at bottom, plus approximation
of integral function as a running total of average f(x) * x
interval.
For those of you wishing to move beyond calculators to a
more serious-minded command line interface (CLI), I highly
recommend Python as a way to go (to be used in complement
to a Computer Algebra System or CAS (e.g. Maple, Mathcad,
Mathematica...).
Kirby
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