| 11. | Roth's theorem says that irrational real algebraic numbers have measure of irrationality 1.
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| 12. | These are a subset of the algebraic numbers, and include the quadratic surds.
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| 13. | Since all algebraic numbers ( including complex numbers ) are roots of a polynomial.
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| 14. | The totally real number fields play a significant special role in algebraic number theory.
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| 15. | Which is a trigonometric number and hence an algebraic number.
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| 16. | Quadratic surd : An algebraic number that is the root of a quadratic equation.
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| 17. | Kresa was the first to introduce algebraic number to trigonometry.
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| 18. | It can compute factorizations, perform elliptic curve computations and perform algebraic number theory calculations.
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| 19. | In algebraic number theory one defines also norms for ideals.
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| 20. | He later proved that the set of all real algebraic numbers is also denumerable.
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