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In mathematics, the resultant of two polynomials is a polynomial expression of their coefficients that is equal to zero if and only if the polynomials have a common root (possibly in a field extension), or, equivalently, a common factor (possibly in a field extension as well). In some older texts, the resultant is also called the eliminant.
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Resultant | is a | unique function of the coefficients of two polynomials that satisfies these properties.If R is a subring of another ring S | 0.90 | text |
| Resultant | is a | symmetric function of the roots of each polynomial | 0.90 | text |
| Resultant | is a | power of the minimal polynomial of β | 0.90 | text |
| Resultant | is a | fundamental tool in computer algebra | 0.90 | text |
| Resultant | is a | determinant of the matrix over the monomial basis of the linear map | 0.90 | text |
| Resultant | is a | polynomial in the coefficients of these n homogeneous polynomials that vanishes if and only if the polynomials have a common non-zero solution in an algebraically closed field c… | 0.90 | text |
| Resultant | is a | greatest common divisor which becomes 1 | 0.90 | text |
| Resultant | is a | polynomial of very high degree | 0.90 | text |
| Resultant | is a | result of the | 0.90 | text |
| Resultant | is a | resultant of the n polynomials P 1 | 0.90 | text |
| Resultant | related to Algebraic geometry | Given | 0.60 | section |
| Resultant | related to Algebraic geometry | More | 0.60 | section |
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