operator n. 1.操作者,機(jī)務(wù)員;司機(jī),駕駛員;【軍事】電話兵;【電話】接線員,話務(wù)員(=telephone operator);【電報(bào)】報(bào)務(wù)員。 2.(外科)施行手術(shù)者。 3.掮客,經(jīng)紀(jì)人。 4.【語法】功能詞。 5.【數(shù)學(xué)】算子,算符。 6.經(jīng)營者;〔美國〕工廠主,資方。 7.投機(jī)商人,騙子;精明圓滑的人。 8.【戲劇】燈光助理員。 an operator's set 話務(wù)員的電話機(jī)。 a telegraph operator 電報(bào)報(bào)務(wù)員。 an unitary operator 公正算符。 a mine operator 礦山經(jīng)營者,礦主。
theory n. 1.理論,學(xué)理,原理。 2.學(xué)說,論說 (opp. hypothesis)。 3.推測,揣度。 4.〔口語〕見解,意見。 the theory of two points 兩點(diǎn)論。 Darwin's theory of evolution 達(dá)爾文的進(jìn)化論。 theory of equations 【數(shù)學(xué)】方程論。 theory of everything 【物理學(xué)】(把相對(duì)論、量子論和宇宙大爆炸理論都包括在內(nèi)的)萬用理論。 theory of relativity 【物理學(xué)】相對(duì)論。 the atomic theory 原子說。 Our scheme is good both in theory and in practice. 我們的方案在理論上和實(shí)施上都是好的。 combine [separate] theory with [from] practice 理論結(jié)合[脫離]實(shí)際。 My theory is that we must bring new blood into the Institute through appointment of younger men to important positions. 我的意見是我們學(xué)院應(yīng)該通過重用年輕一些的人來注入新的血液。 theory of games 博弈論,對(duì)策論,權(quán)衡利弊得失的形勢分析。
One of the most important, most difficult, and most exasperating unsolved problems of operator theory is the problem of invariant subspaces . 算子理論中最重要、最困難也最令人煩惱的未解決問題之一就是不變子空間問題。
The deductive method for the operator theory of the uncertainty relation of one-dimensional harmonic oscillator 一維諧振子不確定關(guān)系的算符理論推導(dǎo)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質(zhì),得到了許多良好的結(jié)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 這些問題的解決不僅會(huì)極大的豐富奇異積分算子理論和函數(shù)空間理論,而且會(huì)對(duì)偏微分方程的研究起到推動(dòng)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空間和算子論的研究中占有非常重要的地位,為研究算子的性質(zhì)提供了一些新的途徑。
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 摘要用強(qiáng)連續(xù)算子半群理論給出了兩相同部件冷貯備可修系統(tǒng)動(dòng)態(tài)非負(fù)解的存在唯一性證明。
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 給出了s域、z域與delta域之間的極點(diǎn)映射關(guān)系并推導(dǎo)了二階系統(tǒng)的s域?qū)?yīng)的delta域的特征多項(xiàng)式,并用一個(gè)實(shí)例說明了控制器的設(shè)計(jì)過程。
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把算子代數(shù)理論運(yùn)用到框架理論的研究,提出酉系統(tǒng),框架向量等概念,使得框架理論的研究更上一個(gè)層次。
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 對(duì)它們的研究涉及到了基礎(chǔ)數(shù)學(xué)及應(yīng)用數(shù)學(xué)許多不同的分支,諸如算子理論,泛函分析,c~*-代數(shù),banach代數(shù),矩陣范數(shù),不等式,數(shù)值分析,擾動(dòng)性理論,矩陣多項(xiàng)式,系統(tǒng)論,量子物理等等,并且在這些分支上面得到了廣泛的應(yīng)用。近年來,為了上述某些數(shù)學(xué)分支發(fā)展的需要,人們?cè)谘芯糠謮K算子矩陣譜理論的過程中引入了數(shù)值域的一個(gè)重要推廣:二次數(shù)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 作為混合單調(diào)算子理論的應(yīng)用,本章討論了非線性混合單調(diào)脈沖積微分方程和混合單調(diào)非線性橢圓方程方面的一些問題,不同程度地削弱了原有的條件,推廣了已知的結(jié)果;還利用錐理論并結(jié)合算子半群的性質(zhì)及其主要特征討論了非線性脈沖發(fā)展方程初值問題、周期邊值問題,給出了混合單調(diào)非線性脈沖發(fā)展方程的耦合周期解以及存在唯一解的充要條件。