algebraic curve 中文意思是什麼
algebraic curve
解釋
代曲-
After giving the legendre polynomials approximation to parametric speed of the curve, the author gives the jacobi polynomials approximation to parametric speed with endpoints interpolation. from this, two algebraic offset approximation algorithms, which preserve the direction of normal, are derived
給出了曲線參數速度的legendre多項式逼近，進一步給出了參數速度的插值區間端點的jacobi多項式逼近，由此導出了保持法矢平移方向的兩個等距代數有理逼近演算法 -
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。 -
Essentially, a key problem on the interpolation by multivariate splines is to study the piecewise algebraic curve and the piecewise algebraic variety for n - dimensional space rn ( n > 2 )
本質上，解決多元樣條函數空間的插值結點的適定性問題關鍵在於研究分片代數曲線，在高維空間里就是研究分片代數簇。 -
The paper applies algebraic geometry, computational geometry, approximation theory to study the following problems : the nother type theory and the riemann - roch type theory of the piecewise algebraic curve ; the number of real intersection points of piecewise algebraic curves ; the real piecewise algebraic variety and the b - net resultant of polynomials
本文應用代數幾何，計算幾何，函數逼近論等學科的基本理論，分別就分片代數曲線的n （ ? ） ther型與riemann - roch型定理；分片代數曲線的實交點數；實分片代數簇以及多項式的b -網結式進行研究。 -
With loe ’ s idea of singular blending, this paper addresses non - uniform algebraic trigonometric ( nuat ) b - spline curve and surface interpolation methods
本文主要應用loe 』 s的奇異混合思想，研究了非均勻代數三角（ nuat ） b樣條曲線曲面的插值方法 -
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。 -
3 j uttler b, felis a. least - squares fitting of algebraic spline surfaces. advances in computational mathematics, 2002, 17 : 135 - 152. 4 yang z w, deng j s, chen f l. dynamic implicit curve reconstruction based on approximate geometric distance
其中廣義特徵向量擬合模型能較好地反映目標形狀的拓撲結構，距離函數則近乎完美地刻畫了目標的幾何信息，因此所得初始隱式曲線曲面能很好地適用於動態重構的迭代過程。 -
Piecewise n ( ? ) ther type theorems on the partitions of ? l and a star region. 2. in this paper, the theory of the so - called " linear series " of sets of places on the piecewise algebraic curve is estabilished and the singular cycle is put into the linear series
2 ：本文將奇異循環納入分片代數曲線的線性列中，建立了由分片代數曲線的支組所構成的「線性列」理論，這一理論是相應代數曲線「線性列」理論（ [ 71 ] ）的推廣。 -
The theory of linear series of the piecewise algebraic curve is a kind generalization of that of linear series of the algebraic curve ( [ 71 ] )
分片代數曲線的完全列是由所有屬于同一等價類的有效正常循環以及所有與它特等價的有效奇異循環構成。
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