| 11. | Symmetric polynomials also form an interesting structure by themselves, independently of any relation to the roots of a polynomial.
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| 12. | The actual value is a root of a polynomial of degree 10 ( which cannot be resolved by radicals ).
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| 13. | The problem is that is not algebraic ( it is not a root of a polynomial equation with rational coefficients ).
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| 14. | In 1970, Russian mathematician Yuri Matiyasevich showed that integer roots of a polynomial in any number of variables with integer coefficients.
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| 15. | Given p, a prime, I am concerned with finding the roots of a polynomial f ( x ) mod p.
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| 16. | However, root-finding algorithms may be used to find numerical approximations of the roots of a polynomial expression of any degree.
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| 17. | For example, a bound due to Cauchy says that all real roots of a polynomial with coefficients are in the interval, where
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| 18. | We need only think of the set of roots of a polynomial f ( x ) or the spectrum of a linear operator ."
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| 19. | In 1867 the Austrian engineer Eduard Lill published a graphical method to determine the roots of a polynomial ( Lill's method ).
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| 20. | In this way, sometimes all the roots of a polynomial of degree greater than four can be obtained, even though that is not always possible.
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