代数簇 meaning in English
algebraic variety
algebraicvariety
Examples
- This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field . it also analyzes the relations between complex algebraic varieties and complex analytic varieties
本课程包括了代数闭域上代数簇的基本概念和结果，同时也讨论了复代数簇和复解析簇之间的关系。 - 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
本文应用代数几何，计算几何，函数逼近论等学科的基本理论，分别就分片代数曲线的n ( ? ) ther型与riemann - roch型定理；分片代数曲线的实交点数；实分片代数簇以及多项式的b -网结式进行研究。 - 4 . applying the techniques of real radical ideal , p - radical ideal ( p is a cone ) , decomposition of semi - algebraic set in ( [ 72 ] ) , affine hilbert polynomial and b - net form of polynomials on simplex , this paper obtains two theorems of real c ? piecewise algebraic variety dimensions and the real nullstellensatz in c
L 、 ）数的一个下界计算公上巳4 ：应用多项式在单纯形上的b网形式以及文献门21 ）中的实根理想，锥根理想，半代数簇分解定理，本文得出了实c ”分片代数簇的二个维数定理和c 。 - 3 . by using the techniques of an explicit criterion to determine the number of real roots of a univariate polynomial in ( [ 13 ] , [ 73 ] ) ; b - net form of bivariate splines function ; discriminant sequence of polynomial ( cf . [ 13 ] , [ 73 ] ) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence , this paper determines the number of real intersection points two piecewise algebraic curves whose common points are finite . a lower bound of the number of real intersection points is obtained in terms of method of rotation degree of vector field
大连理工大学博士论义：分片代数价线i片代数簇的若十m穴3 ：利用杨路，张景中，侯晓荣在文献v13 ， 73 ）中关于一元多项式实根的显式判准，以及二元样条函数的b网形式，多项式的判别序列和sturm序列的最高次数项系数序列的变号数，本文给出了两个分片代数曲线的丈交点数（假设公共点是有限的）的计算公式。 - 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 )
分片代数曲线作为二元样条函数的零点集合，分片代数簇作为一些多元样条函数的公共零点集合，它们是代数几何与计算几何中一种新的重要概念，显然也是经典代数曲线与代数簇的推广。