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Science Forum Index » Physics Forum » The Two Infinitesimals Zero and Nonzero infinitely...
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| Nick |
 Posted: Sat Jun 28, 2008 4:56 pm |
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Joined: 17 Apr 2005
Posts: 1851
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For polynomial functions the infinitesimal is a zero dimensional point
and derivatives are exact. For real world curves the infinitesimal is
two points infinitely close. We can only calculate an approximation of
the infinitely close therefore our answers for real world curves
always remains an approximation. The more calculations we do the
closer our answer will be but never quite reaching exactitude.
Mitch Raemsch |
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| David R Tribble... |
| Posted: Mon Jun 30, 2008 5:50 pm |
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Guest
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BURT wrote:
Quote: For polynomial functions the infinitesimal is a zero dimensional point
and derivatives are exact. For real world curves the infinitesimal is
two points infinitely close. We can only calculate an approximation of
the infinitely close therefore our answers for real world curves
always remains an approximation.
What is a "real-world curve"? Is it similar to a "mathematical
curve"? |
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| ... |
| Posted: Mon Jun 30, 2008 5:56 pm |
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Guest
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On Jun 30, 7:50 pm, David R Tribble <da... at (no spam) tribble.com> wrote:
Quote: BURT wrote:
For polynomial functions the infinitesimal is a zero dimensional point
and derivatives are exact. For real world curves the infinitesimal is
two points infinitely close. We can only calculate an approximation of
the infinitely close therefore our answers for real world curves
always remains an approximation.
What is a "real-world curve"? Is it similar to a "mathematical
curve"?
Changes in the real world quantities described by a changing curve.
Mitch Raemsch |
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