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Revision difference : height of an algebraic number
Version 5 Version 4
Suppose we have an algebraic number such that the smallest polynomial it is a root of is given by: Suppose we have an algebraic number such that the smallest polynomial it is a root of is given by:
\sum_{i=1}^n a_i x^i \sum_{i=1}^n a_i x^i
Then the height $h$ of the algebraic number is given by: Then the height $h$ of the algebraic number is given by:
h = n + \sum_{i=1}^n |a_i| h = n + \sum_{i=1}^n |a_i|
$$ $$