Hello,
If you want a mathematical answer, be clear that it is what you want. There is not even a sentence in your post!!
Given a rational p/q you can define its height to be max(log(|p|), log(|q|)). And given a vector, you can define its height as the maximum of the heights of its entries...
sage: A = AffineSpace(2,QQ)
sage: A((1/3,2/5))
(1/3, 2/5)
sage: A((1/3,2/5)).global_height()
1.60943791243410
sage: log(5.)
1.60943791243410
The definition extends to number fields.
Vincent
thank you very much! it is the same with ellipitic curve!
Please, do *not* post comments as an answer. There is the possibility to add comments in the question and in each answer.
Asked: 2014-10-21 12:26:18 +0200
Seen: 141 times
Last updated: Oct 21 '14
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
What is your question ?! If you want an answer, you should be more precise.
I only know ellipitic curve'point has a height,what meanings AffineSpace'point height?