At 01:48 pm 22-02-05 -0700, you wrote:
> Ehh, you're right. Velocity is change in position. I was referring to
> position. My bad. But... to change something, you have to have
> something to change. Each line back describes how you are changing
> the next item down. If you have n number of derivatives, as n
> approaches infinity, shouldn't there at least be some kind of baseline
> approached? I'm probably not making sense. I only have first year
> calc., not enough to describe what I'm thinking.
>
You have my complete sympathy. When I was first introduced to calculus
and the idea of dx -> 0, that was fine. However, then along comes d2x and
I was trying furiously to imagine it fitting in the tiny space between
dx and zero. And then when d3x came along things got awfully crowded in
my imagination. The secret with maths is to recognise that...
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"Mathematics is a game played according to certain
simple rules with meaningless marks on paper." --
- David Hilbert -
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...then, lie back and think of England. ;-)
Cheers,
Frank Grimer