查询词典 operator equation

By the use of Circling cluster and Envlopment theory and flat surface sit-mark transformation theory, the chain wheel tooth equation of roller chain at high speed to match conjugage engagement is deduced.Establishing chain speed equation of roller chain at high speed,based on the analysis of the speed curves between roller chain at high speed and common roller chain,good drive of roller chain at high speed is verificated theoretically.By a example that move distance from transverse vibration between roller chain at high speed and common roller chain is contrasted,the accuracy of those theories that the paper brings up and higher functions of roller chain at high speed is proved.Finally, Establishing conjugage engagement line equation of roller chain at high speed and analyzing the complete engagement zone, the chain wheel tooth curve equation is studied at a higher degree. At the same time,the lack's place of the research result is pointed out.

依据高速滚子链设计要求与H_y-V_0齿形链的研究，阐述了滚子链传动实现准共轭啮合理论可能性；利用圆族包络法结合平面坐标变换理论推导出了满足共轭啮合的高速滚子链的链轮齿廓曲线；建立起高速滚子链链速方程，通过对高速滚子链与普通滚子链链速曲线的对比分析，从理论上验证了高速滚子链具有良好的传动性能；最后，建立起高速滚子链共轭啮合线方程，对其整个啮合区间进行了分析，进一步研究了链轮齿廓曲线方程，确定了主要参数的设计方法的问题，并同时指出了不足之处。

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值，由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Firstly, a new two-tuples hybrid weighted averaging operator based on uncertain information processing is proposed. Properties of the operator are also analyzed. A method for group decision making with linguistic information based on T-HWA operator is presented.

首先提出了一种基于不确定信息处理的二元语义混合加权平均算子，并对该算子的性质进行了分析，然后给出了一种基于T-HWA算子的语言群决策方法。

Chapter 4, the author first presents an ordered weighted Euclid averaging operator, and then studies the relationship between the OWEA operator and the OWA operator in detail.

第五章首先介绍了BP神经网络基本原理及其算法，然后在此基础上给出了基于BP神经网络的交互式赋权法。

Based on the and density weighted averagingmiddle operator and density weighted geometric averagingmiddle operator, a new density weighted harmonic averaging middle operator is proposed.

文章根据已有的密度加权平均中间算子和密度加权几何平均中间算子的形式提出了密度加权调和平均中间算子并与已有的其它算子进行合成得到合成算子。

Considering the information distribution on the decision makers′ preference,the problem of density weighted averaging middle operator in uncertain multiple attribute decision making is investigated to find out the procedure to determine the weight vector of interval number density operator by extending the middle operator of density of real numbers to that of interval numbers.

针对群决策中的决策者群体偏好信息分布问题，研究了不确定多属性决策密度中间算子，把实数密度中间算子扩展到区间数密度中间算子。

The quark axial vector current operator includesnot only the Pauli spin operator, but also a relativistic reduction operator and a quark-antiquark pair creationoperator.

在质子静止坐标系，夸克轴矢量流除了Pauli自旋算符外，还有相对论修正项和海夸克对产生湮灭项。

Based on the concepts of bounded operator, positive bounded operator and possible bounded operator their connections are discussed such that the contents are deeper.

在有界算子，肯定有界算子以及可能有界算子这些概念的基础上，进一步讨论它们之间的联系，使得关于这方面的内容更全面深刻。

As a result, we have demonstrated that the best approximating operator and the best approximating of bounded linear operator in H10 and H1a,+∞ are consistent and, at the same time, we have generalized the theorem of the best approximating of bounded linear operator to the more universal H1

然后，我们说明了在这样的索伯列夫空间上定义的样条插值算子和最佳逼近算子是一致的，同时把有界线性算子的最佳逼近定理也推广到了一般的索伯列夫空间H~1a，+∞上去。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。