例句與造句

1. The theorems are statements about the solutions of the following system of polynomial equations
2. The methods underlying these algorithms are described in the article System of polynomial equations.
3. These provide a dramatic increase in the speed of resultant calculations with systems of polynomial equations that exhibit symmetry.
4. In broad terms, a constructible set is the solution set of a system of polynomial equations and inequations.
5. Resultants were introduced for solving systems of polynomial equations and provides the oldest proof that there exist algorithms for solving such systems.
6. It's difficult to find systems of polynomial equations in a sentence. 用systems of polynomial equations造句挺難的
7. A system of polynomial equations which has fewer equations than unknowns is said to be "'underdetermined " '.
8. The concept can also be applied to more general systems of equations, such as systems of polynomial equations or partial differential equations.
9. Therefore, other methods have been developed to solve polynomial systems through Gr鯾ner bases ( see System of polynomial equations for more details ).
10. Fast Gr鯾ner Bases ( Faugere ) : The idea of Faugere's attacks is to use fast algorithm to compute a Gr鯾ner basis of the system of polynomial equations.
11. While the command RegularChains [ RealTriangularize ] is currently limited to zero-dimensional systems, a future release will be able to process any system of polynomial equations, inequations and inequalities.
12. There are different definitions of divisors, but in general they form an abstraction of a codimension-one subvariety of an algebraic variety, the set of solution points of a system of polynomial equations.
13. Some but not all polynomial equations with complex solutions of a univariate algebraic equation ( see Root-finding algorithm ) and of the common solutions of several multivariate polynomial equations ( see System of polynomial equations ).
14. When the function to minimize is a multivariate polynomial, the critical points and the critical values are solutions of a system of polynomial equations, and modern algorithms for solving such systems provide competitive certified methods for finding the global minimum.
15. In the case of the systems of polynomial equations, it may happen that an overdetermined system has a solution, but that no one equation is a consequence of the others and that, when removing any equation, the new system has more solutions.
16. It follows that real algebraic geometry is not only the study of the real algebraic varieties, but has been generalized to the study of the " semi-algebraic sets ", which are the solutions of systems of polynomial equations and polynomial inequalities.
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