Algebraic number
Definition
A complex number is algebraic if there is a nonzero polynomial with rational coefficients such that . The degree of is the smallest degree of such a polynomial.
Remarks
One may use integer coefficients instead, by clearing denominators. Examples are each rational number (degree ), and (degree ), and (degree ). The algebraic numbers form a field, and this field is countable. A complex number that is not algebraic is transcendental.
Where this leads
8 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Algebraic_number, lead section
About this page
| Tag | 0MB4TGMXG6 |
|---|---|
| URI | m2://0MB4TGMXG6 |
| Kind | definition |
| Writing | W1 stated |
| MSC | 11R04 |
| Defines | Algebraic number |
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What this page needs for W2
- edge instance_of in: one example (0 of 1)
- edge not_instance_of in: one non-example that fails one clause (0 of 1)
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