common zeros 中文意思是什麼
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In this paper, it s applications were explained from seven different fields, the common zeros of two polynomials, the multiplicities of roots and the discrimination of a polynomial, searching the equations suitable for a algebraic number, implicating a rational curve over the plane, computing the zeros of a nonlinear algebraic equation and gathering the discrimination surface of the sas in automated theorem proving on inequalities
本文從7個方面闡述了結式的應用，包括判斷2個多項式的公共零點，判定多項式是否有重根，計算多項式的判別式，尋找代數數滿足的方程，平面有理曲線的隱式化，非線性代數方程組求解和不等式機器證明中半代數系統邊界曲面的獲得等。 -
The piecewise algebraic curve and the piecewise algebraic variety, as the set of zeros of a bivariate spline function and the set of all common zeros of multivariate splines respectively, are new and important concepts in algebraic geometry and computational geometry. it is obvious that the piecewise algebraic curve ( variety ) is a kind of generalization of the classical algebraic curve ( variety respectively )
分片代數曲線作為二元樣條函數的零點集合，分片代數簇作為一些多元樣條函數的公共零點集合，它們是代數幾何與計算幾何中一種新的重要概念，顯然也是經典代數曲線與代數簇的推廣。
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