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#26 2006-01-01 18:20:43

MathsIsFun
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Registered: 2005-01-21
Posts: 7,529

Re: Fermat's last theorem

I have an answer to a question not yet asked. "Relatively Prime" does not mean it is "sort-of, more-or-less, kinda Prime", it means that two numbers have no common factors (except 1 or -1) -  in other words if they were a fraction they couldn't be simplified further.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#27 2006-01-01 20:54:09

krassi_holmz
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Registered: 2005-12-02
Posts: 1,908

Re: Fermat's last theorem

OK. That's good.


IPBLE:  Increasing Performance By Lowering Expectations.

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#28 2006-01-02 22:23:53

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,908

Re: Fermat's last theorem

Now the general:
1.Elliptic curve:

It wasn't so hard.
Let have a cartesian plane with coordinates xOy.
The following equation is given:


If it's "true" we plot (x,y). Otherwase, we don't plot it.
Here's a plot of elliptic curve(picture 1).
Because the equation was 2 roots:y=sqrt(...) and y=-sqrt(...) the elliptic curve is a Riemann surface.

View Image: ell.GIF

Last edited by krassi_holmz (2006-01-02 22:24:44)


IPBLE:  Increasing Performance By Lowering Expectations.

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#29 2006-01-02 22:26:09

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,908

Re: Fermat's last theorem

Now I should understand why every elliptic curve is Riemann surface with geus 1.


IPBLE:  Increasing Performance By Lowering Expectations.

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