operator n. 1.操作者,机务员;司机,驾驶员;【军事】电话兵;【电话】接线员,话务员(=telephone operator);【电报】报务员。 2.(外科)施行手术者。 3.掮客,经纪人。 4.【语法】功能词。 5.【数学】算子,算符。 6.经营者;〔美国〕工厂主,资方。 7.投机商人,骗子;精明圆滑的人。 8.【戏剧】灯光助理员。 an operator's set 话务员的电话机。 a telegraph operator 电报报务员。 an unitary operator 公正算符。 a mine operator 矿山经营者,矿主。
theory n. 1.理论,学理,原理。 2.学说,论说 (opp. hypothesis)。 3.推测,揣度。 4.〔口语〕见解,意见。 the theory of two points 两点论。 Darwin's theory of evolution 达尔文的进化论。 theory of equations 【数学】方程论。 theory of everything 【物理学】(把相对论、量子论和宇宙大爆炸理论都包括在内的)万用理论。 theory of relativity 【物理学】相对论。 the atomic theory 原子说。 Our scheme is good both in theory and in practice. 我们的方案在理论上和实施上都是好的。 combine [separate] theory with [from] practice 理论结合[脱离]实际。 My theory is that we must bring new blood into the Institute through appointment of younger men to important positions. 我的意见是我们学院应该通过重用年轻一些的人来注入新的血液。 theory of games 博弈论,对策论,权衡利弊得失的形势分析。
One of the most important, most difficult, and most exasperating unsolved problems of operator theory is the problem of invariant subspaces . 算子理论中最重要、最困难也最令人烦恼的未解决问题之一就是不变子空间问题。
The deductive method for the operator theory of the uncertainty relation of one-dimensional harmonic oscillator 一维谐振子不确定关系的算符理论推导法
The theorems of positive operators of banach lattice and positive operators are an inseparable part of the general banach space and operator theory 另一方面,研究了hilbert格和banach格上正算子的一系列性质,得到了许多良好的结果。
The solution to these problmes will not only enrich singular integral operator theory and function space theory, but also push on the research of partial differential equations 这些问题的解决不仅会极大的丰富奇异积分算子理论和函数空间理论,而且会对偏微分方程的研究起到推动作用。
These new methods offer us some new approaches to the operator theory . this paper contain four chapters . chapter 1 deals with co semigroups on banach lattice as well as with their properties 格上正算子在banach空间和算子论的研究中占有非常重要的地位,为研究算子的性质提供了一些新的途径。
In this paper, we study the cold redundant repairable system with two indentical components, obtain its existence and uniqueness of a dynamic state nonnegative solution by strongly continuous semigroup of operators theory 摘要用强连续算子半群理论给出了两相同部件冷贮备可修系统动态非负解的存在唯一性证明。
The problem of controller based on time domain performance index using 8 operator theory is discussed in this paper . relation among s domain, z domain and s domain is given . the process of design is showed by an example 给出了s域、z域与delta域之间的极点映射关系并推导了二阶系统的s域对应的delta域的特征多项式,并用一个实例说明了控制器的设计过程。
Recently d . r . larson, deguang han and xingde dai have put forward some definitions such as unitary system, frame vector in terms of applying operator theory to the study of frame theory, which made the research develope rapidly larson,deguanghan和xingdedai把算子代数理论运用到框架理论的研究,提出酉系统,框架向量等概念,使得框架理论的研究更上一个层次。
The subject is related and has applications to many different branches of pure and applied science such as operator theory, functional analysis, c "-algebras, banach algebras, matrix norms, inequalities, numerical analysis, perturbation theory, matrix polynomials, systems theory, quantum physics, etc . in recent years, the quadratic numerical range, one of the most important generalizations of the numerical range, was put forward in the course of people studying the spectral theory of the block operator matrix to the need of the development of some branches mentioned above 对它们的研究涉及到了基础数学及应用数学许多不同的分支,诸如算子理论,泛函分析,c~*-代数,banach代数,矩阵范数,不等式,数值分析,扰动性理论,矩阵多项式,系统论,量子物理等等,并且在这些分支上面得到了广泛的应用。近年来,为了上述某些数学分支发展的需要,人们在研究分块算子矩阵谱理论的过程中引入了数值域的一个重要推广:二次数值域。
As the applications of mixed monotone operators theory, some classes of equations are considered . some initial value problems and boundary value problems for mixed monotone nonlinear impulsive integro-differential equations and nonlinear elliptic equations are discussed . some known results are generalized under weak conditions . and initial value problems and periodic boundary value problems for mixed monotone nonlinear impulsive evolution equations are discussed by mixed monotone operators theory with considering the main properties of operator semigroup . the sufficient and necessary conditions for existence and uniqueness of their solution and coupled solution are obtained 作为混合单调算子理论的应用,本章讨论了非线性混合单调脉冲积微分方程和混合单调非线性椭圆方程方面的一些问题,不同程度地削弱了原有的条件,推广了已知的结果;还利用锥理论并结合算子半群的性质及其主要特征讨论了非线性脉冲发展方程初值问题、周期边值问题,给出了混合单调非线性脉冲发展方程的耦合周期解以及存在唯一解的充要条件。