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Education > Math Undergrad > Re: topology he...
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Re: topology help please

by Paul Sperry <plsperry@[EMAIL PROTECTED] > May 3, 2008 at 01:35 AM

In article
<9200757.1209775037505.JavaMail.jakarta@[EMAIL PROTECTED]
>, amu
<amu786la@[EMAIL PROTECTED]
> wrote:

> You and your beloved have a pizza and a cheesecake for dinner. You love
him
> or her but things must be fair! Prove that there are at least one ways
to cut
> the pizza and the cheesecake in halves of equal areas by one straight
cut.
> (By pizzas and cheesecakes, we mean compact connected subsets of R^2) 
> 
> let me give you some idea: the area is continuous change with
respectively to
> x. the pizza is bounded by rectangle. move the line to another position
> called x bar. the area between two position change little bit. prove
that the
> given area is less than epsilon. if M*delta x < epsilon. please help

<http://en.wikipedia.org/wiki/Ham_sandwich_theorem>

-- 
Paul Sperry
Columbia, SC (USA)
 




 2 Posts in Topic:
topology help please
amu <amu786la@[EMAIL P  2008-05-02 20:36:47 
Re: topology help please
Paul Sperry <plsperry@  2008-05-03 01:35:13 

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tan12V112 Wed Oct 15 19:54:36 CDT 2008.