查询词典 comparison operator

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中，对于H_0~1中的有界线性算子，用微分算子插值样条函数的方法给出了H_0~1空间中的再生核，利用此再生核给出了H_0~1上的有界线性算子的最佳逼近的表达形式，并证明了其收敛性。

In[6],Prof Gong and Wang Libin discussed the property of Ho and K when A is an bounded linear operator, he also study the spectral theory of compact operator with these twe subspaces.

龚为邦教授和王利彬博士在[6]中讨论了算子A为一般有界线性算子时子空间H_0和K的性质，并利用H_0和K研究了紧算子的谱理论。

Simultaneously, we identify that the perturbation of these operators by a small norm operator is still nonwandering; further, we can obtain the theory that every bounded linear operator can be decompositioned into nonwandering operators.

同时，证明了这些算子经一小扰动后，可保持它们的非游荡性不变；进而可获得有界线性算子关于非游荡算子的分解理论。

Based on general orthogonal polynomials and general hybrid orthogonal functions, a new linear, continuous and bounded operator has been proposed in the dissertation. The definitions and properties of PGOPO are given, a various operational rules of the operator have been set up in a systematic way, the convergence of approximate solutions has been discussed. After introducing PGOPO and discussing its main properties and operational rules, a systematic methodology for solving various control problems via PGOPO has been developed.

本文在广义正交多项式及广义混合正交函数的基础上，提出了一种新的线性、连续、有界算子—分段广义正交多项式算子，探讨了这种算子的基本性质，并系统地建立了与该算子有关的各种运算规则及收敛性结论，给出了它在控制理论中的各种应用。

Let X be a real Banach space with strictly convex dual space X(superscript *) and G a bounded, open subset of X. T: DX→2 is a m-accretive operator, C: D→X is bounded operator.

设X是一个实Banach空间，X为其对偶空间，G是X的开、有界子集。T：DX→2是m-增生算子，C：D→X是有界算子。

A new particle swarm optimization, PSO with bounded mutation operator, was developed. In contrast to the original PSO, in this algorithm, PSO with bounded mutation operator would make the particles redistributed cquably close to boundary when place of particle exceeds feasible region during iteration.

提出了一种新的粒子群优化算法——带边界变异的PSO，其原理是：在迭代的过程中，当粒子的位置超出可行域时，带边界变异的PSO让粒子的位置重新均匀分布在边界附近；当粒子的速度超出可行域时，则使其均匀分布到整个可行区间，而不是像原始PS0那样在这2种情况下都只是简单地取边界值。

In addition, the mutual combination between teleoperation and autonomous control is the development direction of space robot for the long time, it not only can make use of the intellignece of human being but also can make operator release from the trivial busywork to resolve the problem of excess fatigue and easy mistake of operator.

另外，遥控操作与自主控制相互结合的共享控制是今后很长时间空间机器人的发展方向，它不但能最大限度发挥人的智能，而且使操作员从琐碎的作业中解放出来，解决操作员的过度疲劳与失误问题。

Firstly, by constructing an abstract operator, the original problem can be transformed into a Cauchy problem for an abstract operator equation.

首先，通过构造了一个抽象算子，将原问题转化为一个抽象算子方程的Cauchy问题。

The operator of crossover, mutation and selection in HGA have function of macroscopically search, that deals with a large scale search, while the quasi-Newton operator has function of local search, and deals with a small circle search and problem of accelerating of search.

混合遗传算法中交叉算子、变异算子和选择算子的作用是宏观搜索，处理的是大范围搜索问题，而拟牛顿算子迭代运算的作用是局部搜索，即微观搜索，处理的是小范围搜索问题和搜索加速问题。

Because traditional finance subject utmostly canonize the rational selected mode and methodology which keep the form of the financial interest need of the enterprise and its stockholders and the network of their financial relationship out of its analytic area, so liking the mainstream economics, traditional finance subject can not offer trustworthy explains to many financial affairs and can not prescribe the right policy prescription to the important financial problems, either. As a result of the logistic and realistic errors in the traditional mode, it will have an important and practical meaning to bring the new system principle into the analytic area of the financial subject and to develop the financial theory. The main points of this dissertation are as follows: The financial affairs of an enterprise are not the inner actions of the individual firm, but the function of the financial network of stockholders, so we should use the limit of the affairs not the inner property or inner driving force to interpret the financial affairs of an enterprise, we should use the method of circuital analysis not of individual analysis to investigate the financial affairs of an enterprise; The financial affairs of an enterprise is a social behavior, it is involved in the social structure and is restricted by the social structure, so we should care for the social characters, social responsibilities and social effects of the financial affairs of an enterprise; The financial network of stockholders is composed of five phases as follows: the finance of external stockholders, the finance of the operator, the finance of function, the finance of subsection and the finance of the stuff, in which the finance of the operator is dominant; The operational intensity and efficiency of the financial network of stockholders are influenced by technical factor as well as institutional factor, in which institutional factor is the fundamental character of financial affairs. Ultimately the substance of the financial affairs is the arrangement and operation for the financial system by stockholders; The relationship between enterprise and its stockholders is cooperative and conflicting. The important mechanism to solve the financial conflict between stockholders is the construction of the financial system, including the formal and informal system construction. Information and faith are the important mechanism to coordinate the financial conflict between stockholders, so we should pay much attention to the research of formal and informal system.

本文的主要观点是：企业财务行为不是企业个体内部的行为，而是利益相关者财务网络行为，因此应当用对行为的结构限制而不是企业个体的内在属性或内在驱力来解释企业的财务行为，用网络分析的方法而不是个体分析的方法研究企业财务行为；企业财务行为是一种社会行为，它嵌入于社会结构之中，受企业财务所处的社会结构的限定，因此应当关注企业财务行为的社会性质、社会责任和社会后果；利益相关者财务网络内含外部利益相关者财务、经营者财务、职能财务、分部财务和员工财务五个层次，其中经营者财务在其中占据主导地位；利益相关者财务网络的运作强度与运作效率既受技术性因素的影响，又受制度性因素的影响，其中制度性是财务的根本属性，企业财务的实质说到底还是面向利益相关者的一种财务制度性的安排与运作；企业与利益相关者之间以及利益相关者相互之间的财务关系具有合作性与冲突性，化解利益相关者财务冲突的重要机制是财务性的制度建设，包括正式制度建设与非正式制度建设，信息和信任是协调利益相关者财务冲突的重要机制，因此应当高度关注财务的正式和非正式制度的研究。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。