查询词典 algebraic variety

In the four section, from the interpolationdimension of an algebraic curve and an algebraic surface,using theoryand method of algebraic geometry, we get some interpolation of analgebraic curve and an algebraic surface, and we prove the reasonableof the interpolation dimension of an algebraic curve and an algebraicsurface.

第四章我们从沿代数曲线曲面空间的插值维数出发，利用代数几何理论与方法，给出了代数曲线曲面上的基本插值结构，并证明了我们长期应用的其上的插值维数公式的合理性。

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。

Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations.

代表理论和更高的代数学的K 理论是第一个书提出订货和组戒指的更高的代数学的K 理论，好和导致equivariant更高的代数学的K 理论和他们的有关的概括的麦基functors一样表现更高的代数学的K 的特性理论。

Algebraic K-theory is an important branch of algebra which has deep relationships with other branches of mathematics such as algebraic number theory, algebraic geometry and algebraic topology.

代数K-理论是代数学的一个重要分支，它与数学中代数数论，代数几何和代数拓扑等其它分支有深刻的联系。

The non-uniform algebraic codebook is determined by the non-uniform statistical properties of the algebraic codebook, and the part-searching-area is determined by the periodicity of the algebraic codebook excitation vector, which makes up the insufficient numbers of signed pulses in algebraic codebook at low bit rate.

非均匀代数码书由代数码书的脉冲非均匀统计特性确定，部分搜索域代数码书则由代数码书矢量的周期性确定，该方法有效地弥补了低比特率情况下代数码书中脉冲数不足的缺点。

Chapter 8: We discuss the acceleration of multigrid by Krylov subspace approaches, and recognize the reason for slow convergence of algebraic multigrid methods is that error reduction is significantly less efficient for some very specific error components which may cause a few eigenvalues of the algebraic multigrid iteration matrix to be considerably closer to 1 than all the rest. However, the eigenvectors belonging to the few isolated eigenvalues can be expected to be typically captured after only a few conjugate gradient iterations, which accelerate algebraic multigrid algorithms. Theoretical analysis and numerical results of some practical problems show the iterant recombination accelerates algebraic multigrid convergence.

第八章：先介绍用Krylov子空间迭代法加速一般多重网格方法收敛的基本框架，然后紧紧抓住引起代数多重网格方法收敛减慢的根本原因往往是误差减小对几个特别的误差分量不明显，这导致代数多重网格方法的迭代矩阵的几个特征值接近于1，而共轭梯度方法则能比较典型地捕捉属于孤立特征值的特征向量，从而推导出有效的共轭梯度加速算法和程序实现，不仅从一些具体的实际应用例子的数值结果去验证迭代复合加速收敛的效果，而且还从理论上分析了预处理共轭梯度法加速代数多重网格法收敛的机理。

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。

In the present study, efficient identification methods for the main varieties of cowpea (Vigna unguiculata W.) and cauliflower (Brassica oleracea L.) in south of China, especially in zhejiang province, were investigated by using seven cowpea varieties (variety 1, Zhijiangtechang80;variety2, Zhijiangtechang90;variety3, Qiujiang512;variety4, Zhijiang228-2;variety5, Huajiang24;variety6, Yangjiang40;and variety7, Xingaochan8) and five cauliflower varieties (variety A, Longfenteda50tian;variety B, Yidaijinguang80tian;variety C, RuixuetedalOOtian;variety D, Qiuwang80tian;and variety E, Tezao50tian). The application of seed shape, seedling shape, rapid chemical identification and electrophoresis was performed, the main results were as follows.

为开展南方特别是浙江省主要蔬菜作物种子高效快速鉴定技术研究，本试验以七个豇豆品种品种1(之豇特长80，品种2(之豇特长90)，品种3(秋豇512)，品种4(之豇228—2)，品种5(华豇24号)，品种6(扬豇40号)，品种7和五个花椰菜品种品种A(龙峰特大50天，品种B(一代金光80天)，品种C(瑞雪特大100天)，品种D(秋王80天)，品种E(特早50天)为材料，从种子形态、幼苗形态、快速化学和电泳鉴定等方面对豇豆和花椰菜品种鉴定进行了研究，特别是对乳酸—聚丙烯酰胺凝胶电泳在这两种蔬菜品种鉴定上的可行性进行了研究。

A it is predominantly derived from the initial variety or from a variety which itself was predominantly derived from the initial variety, while retaining the expression of essential characteristics that result from the genotype or combination of genotypes of the initial variety; an essentially derived variety may have been obtained by the selection of a natural or induced mutant or of a somaclonal variant, by the selection of a variant individual from plants of the initial variety, by backcrossing, by a transformation by genetic engineering, or by any other similar method

一个品种主要由原始品种演化而来，或主要由原始品种的实质性派生品种演化而来，同时保留了来自原始品种基因型或基因型组合的基本特征的表达；一个实质性派生品种可能通过选择自然变异或诱变或体细胞无性变异、原始品种植株的个体变异的选择、回交、基因工程的改造或任何其它类似方法而获得。

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。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。