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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,664

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.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,905

OK. That's good.

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,905

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.

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

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,905

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

IPBLE: Increasing Performance By Lowering Expectations.

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