查询词典 involutory algebra

The results obtained in the thesis are as follows: Firstly, the thesis proves that the inner measure and outer measure which defined by Fagin and Halpern are a kind of random sets, generalizes the concept of random sets to Boolean algebra's, and hence establishes the theory of the generalization of random sets.

本文的主要结果如下：①本文证明了Fagin和Halpern提出的内、外测度可表示为一种随机集合，并把随机集合的概念从幂集合推广到了布尔代数上，从而提出了广义随机集合理论。

After introducing the basic knowledge of geometric algebra such as outer product,inner product and geometric product,this paper focused on the CGA description and computation with graphic reflection,rotation,translation,rigid body motion and screw motion,and gave the experimental demonstrations.

在简单介绍外积、内积和几何积等基本概念之后，重点论述了共形几何代数在图形反射、旋转、平移等变换和刚体运动、螺旋运动等方面的描述和计算方法，并给出了实验示例。

Neumann, Successive overrelaxation methods for solving the rank deficient linear least squares problem, Linear Algebra Appl.

Miller and Neumann 提出SOR方法解决秩亏损线性最小二乘问题。

A Brief History of Algebra and Computing: An Eclectic Oxonian View - Jonathan P.

代数和计算科学简史--英国牛津大学计算实验室。

Through studying the intersection of paraboloid of revolution and cylinder , the author concluded that the horizontal projection of the intersecting lines—, is the famous Four-order algebra curve-Perseus curve.

通过对回转抛物面与圆柱面相交的研究，得出交线的水平投影曲线——为四次代数曲线——Perseus座曲线的结论。

In this paper, based on the flexible multibody dynamics model of the virtual axis hybrid polishing machine tool, the differential — algebra hybrid equations is calculated by the Newton- Raphson method. The variety of the moving displacement, the velocity and the acceleration for the moving platform, leg, slider on the 3- PTT parallel mechanism and the pose curve of the series mechanism are obtained.

论文主要完成了在已经建立的虚拟轴混联研抛机床多柔体动力学模型基础上，应用牛顿—拉斐逊（Newton-Raphson）数值计算方法求解微分—代数混合方程组，得到3-PTT并联机构动平台、支杆、滑鞍各部件的运动轨迹、速度和加速度变化规律，以及串联机构的姿态变化曲线。

At this point, with a limited degree of familiarity with paraxial optics, and believing that only lens designers with a penchant for algebra can understand the subject, the vast majority of students opt out.

这种情况下，学生仅仅熟悉了一点近轴光学的知识，然后就是胡思乱想的假设只有嗜好代数运算的镜头设计专家才可以懂这一门学问，最后，大部分学生选择了放弃努力。

During the spring of 1985, a parent from the Open Program's seventh/eighth grade committee collaborated with Moses to distribute a letter to the parents of all the sixth-graders, asking whether they thought that every seventh-grader should study algebra, and whether they thought their own child should

在1958年的春天，一位七/八年及的计划委员与摩斯共同合写一封信给全部六年级同学的家长，信中问到每位七年的学生是否该学习代数及是否你的孩子是否在七年级需学习代数。

For detail,we studied the Incidence Algebra I defined by finite Partially Ordered Set X,and sheaf F based on the topology T_x defined by the partial order;By studying the relation between finite module category mod I and the sheaf category Sh_x A,we proved that they are equivalent.

特别的，对给定的有限偏序集X确定的Incidence代数Ⅰ，及由X的序关系定义的拓扑结构T_X上的层F，通过考查有限模范畴modⅠ与层范畴Sh_XA之间的关系，证明了Incidence代数上的模范畴与层范畴的等价性。

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。

However it can often be frust ating for a child when people are unable to pronounce their name.

但它往往可以令人沮丧的一个孩子当人们无法断言他们的名字。

All these compounds were obtained from this genus for the first time. Compound, 4-cumylphenol, was a new nature product.

所有化合物均为首次从本属海藻中分离得到，其中4cumylphenol为新天然产物。