查询词典 algebra

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。

Contents: A Brief Review of Elementary Quantum Chemistry; An Introduction to Electronic Structure Theory; The Born-Oppenheimer Approximation; Time Evolution of Wavefunctions; Angular Momentum Summary; The Unitary Group Form of the Hamiltonian; Introduction to Hartree-Fock Theory; Permutational Symmetries of Integrals; Notes on Excited Electronic States; The Quantum Harmonic Oscillator; Assigning Symmetries of Vibrational Modes; Notes on Elementary Linear Algebra

内容： 初等量子化学的简评；电子结构理论的介绍；天生奥本海默的接近； Wavefunctions的时间演化；角动量摘要； Hamiltonian的单位的组形式；哈特里-Fock 理论的介绍；积分的Permutational对称性；在令人激动的电子国家上注明；这台量谐波振荡器；分配振动的方式的对称性；在初等线性代数上注明

Petre Hajek have proposedBL algebra based on the three continues triangle norms and construct Basic Logicsystems correspondingly.

Hajek便针对这三种连续的三角模所对应的蕴涵算子而提出了BL-代数，并建立了相应的Basic Logic系统。

Using the recursive formula and computer algebra system-Mathematica, the first six singular point values at infinity of the system are given.

对一类三次系统给出了计算无穷远点奇点量的递推公式，并在计算机上用计算机代数系统Mathematica推导出该系统无穷远点的前6个奇点量，进而导出了无穷远点成为中心和最高阶细焦点的条件，在此基础上得到了一个三次系统在无穷远点分支出6个极限环的实例，指出了极限环的精确位置。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。