| Version 7 |
Version 6 |
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Suppose we have an algebraic number such that the polynomial of smallest degree it is a root of (with the co-efficients cancelled down as much as possible) is given by:
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Suppose we have an algebraic number such that the polynomial of smallest degree it is a root of is given by:
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| \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| |
| $$ |
$$ |
