代数簇

词组短语

algebraic variety

与代数簇相关的网络例句 [注：此内容来源于网络，仅供参考]

Using the substitution-elimination method affine algebraic variety can be resolved to pure d-dimensional subvariety and expressed by an algebraic hypersurface on d+1-dimensional space with a sequence of elimination-polynomial systems. All 0-dimensional solution can be found, too.

利用变换消元法可以把代数簇分解成纯d维的子簇，并把代数簇表示为d+1维子空间上的超曲面形式和一系列的消元多项式组，且能求出全部孤立解，同时给出了算法及其在多项式因式分解中的应用。

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Nother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。

It is important to study the interpolation by multivariatesplines and algebraic geometry etc.

因此，研究分片代数簇是很重要的。

As thezeros of multivariate splines, the piecewise algebraic variety is a generalization of theclassical algebraic variety.

分片代数簇作为多元样条的公共零点集合，是经典代数簇的推广，它不仅和许多实际问题如多元样条插值，CAD和CAGD等有关，而且还为研究经典代数几何提供理论依据。

In order to solvepiecewise algebraic varieties, we propose a new method to compute an algebraic varietyon a convex polyhedron by adding hyperplanes with the method of Groebner bases. Thus,the algebraic variety on the convex polyhedron is transformed to the positive solutionsof a system of polynomials. Besides, the minimal decomposition is also obtained.

通过添加超平面技巧将Groebner基方法应用到凸多面体内任意维代数簇的计算上，从而把凸多面体内的代数簇转化为另外一组多项式方程组的正解，并且得到了该代数簇在凸多面体内的极小分解。

Applying the techniques of real radical ideal, P-radical ideal , 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〓 spline ring.

4：应用多项式在单纯形上的B-网形式以及文献（[72]）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〓样条空间的实零点定理。

This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field.

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。

Furthermore, we define a convolution multiplication between characteristic functions of constructible subsets by using push-forward functor from the category of algebraic varieties over C to the category of spaces of constructible functions. We construct geometric model for "intrinsic symmetry" of the octahedral axiom in a triangulated category. Using it, we deduce the multiplication satisfies the Jacobi identity of Lie algebra and then realize infinite dimensional Lie algebras.

进一步，我们使用复代数簇范畴到可构函数空间范畴的pushforward函子，给出了可构集上特征函数的卷积乘法，并构造了三角范畴八面体公理的内蕴对称性的几何模型，最终证明了对于不可分解支撑有界可构集的特征函数，乘法满足李代数定义的Jacobi恒等式，从而给出了无限维李代数的实现。

Moreover, the ultraproduct lattice implication algebras and the fuzzy ultraproduct of fuzzy subsets of lattice implication algebras are proposed by using the concept of ultrafilters, with the corresponding properties of fuzzy filters, fuzzy associative filters and fuzzy lattice implication subalgebras being discussed.

另外，文中借助于超滤概念提出了格蕴涵代数簇的超积及格蕴涵代数中模糊子集的模糊超积，并进而研究了模糊滤子、模糊关联滤子及模糊子格蕴涵代数的相应性质。

On the fuzzy ideals and the ultraproduct of BCK-algebras;2. On the Fuzzy Ideals and Their Ultraproduct of MV-Algebras;3. Moreover, the ultraproduct lattice implication algebras and the fuzzy ultrapr.

另外 ，文中借助于超滤概念提出了格蕴涵代数簇的超积及格蕴涵代数中模糊子集的模糊超积，并进而研究了模糊滤子、模糊关联滤子及模糊子格蕴涵代数的相应性质。

与代数簇相关的网络解释 [注：此内容来源于网络，仅供参考]

algebraic variety：代数簇

[摘要]局部化(Localization)方法是交换代数中一个重要工具,通过研究一个代数簇(Algebraic Variety)在某点或某点附近的局部性质,往往可以把握代数簇的整体特性.

general algebraic variety：一般代数簇

herpolhode cone [力]空间极迹锥面 | general algebraic variety 一般代数簇 | maser bandwidth 脉塞带宽 微波量子放大器带宽

irreducible algebraic variety：不可约代数簇

irreducible algebraic correspondence 不可约代数对应 | irreducible algebraic variety 不可约代数簇 | irreducible branch 不可约分支

projective algebraic variety：射影代数簇

projection plane 射影平面 | projective algebraic variety 射影代数簇 | projective arc length 射影弧长

conjugate algebraic variety：共轭代数簇

conjugate action | 共轭状态 | conjugate algebraic variety | 共轭代数簇 | conjugate angle | 共轭角

normal algebraic variety：正规的代数簇

normal alarm 标准报警 | normal algebraic variety 正规的代数簇 | normal alloy 正常合金

projective variety：代数簇

差异化:Variety | 代数簇:Projective Variety | 蚕品种:silkworm variety

rational algebraic variety：有理代数簇

rational algebraic fraction 有理代数分数 | rational algebraic variety 有理代数簇 | rational analysis 有理分析,示构分析,示性分析

variety of universal algebras：泛代数簇

泛代数|universal algebra | 泛代数簇|variety of universal algebras | 泛代数的同余[关系]|congruence on universal algebra

prealgebraic variety：准代数簇

preaging 预老化 | prealgebraic variety 准代数簇 | prealigner 预对准器