查询词典 algebraic hypersurface of the seconed order

There are not algebraic formula for solution of the5- n algebraic equation, Thispaper presents a soluted method of nomography. With this method all real roots can beobtained quickly.

五次代数方程不存在求解的代数公式，文中提出了利用诺模图求解方法，可以快速地求出方程的全部实根。

Using the numerical differentiation, the differential equations can be transformed into algebraic equations. Then we can get the numerical solution from the algebraic equations.

但是数值微分对误差非常敏感，因此我们想到用对误差不敏感的数值积分代替数值微分。

In Chapter 3,we classify a binary-coded individual space equivalently withthe help of the ideals of Boolean algebra and analyze the search capabilitiesof a new kind of algebraic crossover operator in these equivalence classes,thenprovide the algebraic representation of a type of genetic algorithms by usingthe permutation group,therefore we can derive a lot of new forms of geneticalgorithms.

第三章运用Boole代数的理想将二进制编码的个体空间进行等价分类，分析了一类代数杂交算子在这些等价类上的搜索能力；然后利用置换群给出一类遗传算法的代数表示，由此导出多种新形式的遗传算法，并给出其中两类算法形式的收敛性结果。

In [2], Kirkland characterizes the limit points for algebraic connectivity of trees in terms of Perron values of certain positive matrices, and finds the four largest elements of limit points for algebraic connectivity of trees together with the corresponding branches.

Kirkland在文献[2]中用正矩阵Perron值的方法刻划了树的代数连通度的极限点，并给出了树的代数连通度的前四大值和达到这些数值相应的分支。

The major technique to get the information of structure of those free groups is to sudy the action of automorphisms on them. In this paper we show that every normal automorphism of a nontrivial free product of groups is inner as well. Traub[16] made a purely algebraic conjecture and showed that it implied Poincare"s Conjecture. He also showed that Poincare"s Conjecture implied this algebraic conjecture modulo another topological hypothesis.

在本文中我们给出任意两个非平凡群的自由积的每个正规自同构也是内自同构的；在文献[16]中，Traub给出了一个纯代数的猜想并证明了这个猜想蕴含着着庞加莱猜想的成立，并且作者也证明了在一个拓扑假设的前提下庞加莱猜想也同时蕴涵着猜想1是成立的，后来这个拓扑假设被Waldhausen([7])证明是成立的。

After studying the applications of image algebraic feature thoroughly, we found that when algebraic feature is used to face recognition, projective transformation is generally used to compress the dimension of extracted image feature, then classifier is designed to recognize.

对图象代数特征应用作了深入研究之后，发现在应用代数特征进行人脸识别研究时，一般用投影变换来压缩提取的图象特征维数，然后设计分类器进行识别。

In the first part, considering a linear dynamic system, system's differential algebraic equations are converted into algebraic equations using Simpson's integration rule, which can be solved easily by the steady-state data reconciliation theories for this dynamic data reconciliation problem.

在第一部分，考虑线性动态系统情况下，以辛普森积分法将系统动态方程式转换成代数方程式，接下来可利用稳态数据调和理论解决此动态数据调和的问题。

Based on the transfinite interpolation theory, an improved algebraic grid generation method is presented in this paper. Our improvements of existing algebraic grid generation method include:(1) orthogonality control, which greatly improves grid orthogonality adapted to viscous flow calculation;(2) weighted average smoothing, which efficiently handles with grid intersection due to concave corner existence;(3) normal vector control, which adjusts grid smoothing near convex corner.

基于无限插值理论，引入本文提出的网格正交控制、物面法向量控制、加权平均光顺措施，给出了一种改进的空间网格生成方法，有效克服了传统无限插值网格生成方法在复杂外形网格生成方面的缺陷，有效改善了网格的法向疏密性、贴体性及周向网格的均匀性，对真实飞行器部件网格生成非常迅速。

The formulation of power system transient stability preventive control based on optimal power flow is presents in this thesis, in which multicontingency is considered. The infinite dimensions nonlinear optimization problem in which differential-algebraic equations are existed is changing into finite dimensions difference-algebraic equations by implicit trapezoid method.

建立了基于最优潮流的电力系统暂态稳定预防控制模型，通过隐式梯形法将含有发电机动态微分-代数方程和暂态稳定约束的无限维优化问题转换成有限维的常规静态最优潮流问题。

The "divide and conquer" strategy is used to improve the key steps of the undetermined coefficient algorithm for constructing polynomial conservation laws of nonlinear DDEs, so the calculation complexity problem caused by the dramatic increase of redundancy is solved. Furthermore, Wu\'s elimination method is applied to solve the obtained nonlinear algebraic equations thus to get a more efficient algebraic algorithm.

本文从微分方程的标度变换出发，利用"分治"策略改进了构造非线性DDE守恒律待定系数算法中的关键步骤，有效解决了因冗余项急剧增加引起的中间计算过程膨胀问题，并将吴消元法应用到非线性代数方程组的求解上，从而给出了一个更高效的代数算法。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。