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proof : how to?

 
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gooy
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PostPosted: Thu Jul 10, 2008 4:07 am    Post subject: proof : how to? Reply with quote

This sounds simple, but just wanted to get a start on.

I have a distance function, which measures how close/far two objects
are, call it

dist(a,b)

How do I prove the following for this function

dist(a,b) >= 0
dist(a,b) = dist(b,a)
dist(a,a) = 0

Please help.
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The World Wide Wade
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PostPosted: Thu Jul 10, 2008 9:48 am    Post subject: Re: proof : how to? Reply with quote

In article
<0ce6f79b-2ee5-4219-8171-c36194aba788@c58g2000hsc.googlegroups.com>,
gooy <ericbae@gmail.com> wrote:

Quote:
This sounds simple, but just wanted to get a start on.

I have a distance function, which measures how close/far two objects
are, call it

dist(a,b)

How do I prove the following for this function

dist(a,b) >= 0
dist(a,b) = dist(b,a)
dist(a,a) = 0

Please help.

Tell us what this function is fer cryin out loud.
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Robert Israel
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PostPosted: Thu Jul 10, 2008 9:53 am    Post subject: Re: proof : how to? Reply with quote

Quote:
This sounds simple, but just wanted to get a start on.

I have a distance function, which measures how close/far two objects
are, call it

dist(a,b)

How do I prove the following for this function

dist(a,b) >= 0
dist(a,b) = dist(b,a)
dist(a,a) = 0

Please help.

Typically these follow pretty easily from the definition of "dist".
But without knowing how your particular "dist" is defined, it's hard
to help.
--
Robert Israel israel@math.MyUniversitysInitials.ca
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada
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