Subject: Re: Topic Appropriateness
From: Kirby Urner (urner@alumni.Princeton.EDU)
Date: Sun Sep 24 2000 - 11:23:55 EDT
On Sat, 23 Sep 2000 21:19:25 -0700, you wrote:
>I think that is almost backwards.
I agree with you that it's the viewer who both smooths the
action and keeps track of what's happened so far, against
which accumulated memory the incoming changes (projected
frames) are compared.
A frame of film captures a tiny change per time interval,
whereas showing a whole lot of these changes back to the
viewer at high speed is what integration is all about
(integrating a scenario from a high frequency sampling).
Differentiation gives us a record of change per .001
second or delta_F/delta_T. The "running total"
algorithm (see precalc.html) sums (delta_F * delta_T)
products, returning us to our original sense of the
action (i.e. movie camera = differentiator, movie
projector = integrator).
In this sense, differentiation and integration are
inverse operations -- I think the analogy is helpful
and could be used more.
Kirby
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