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operator     
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  算子
    The Minimal Operator and Weighted Inequalities for Martingales
    鞅的极小算子与加权不等式
短句来源
    The Renormalization Operator and Kneading Sequence
    重正化算子与搓揉序列
短句来源
    Solvability of Nonlinear Operator Equations (Systems) and Its Applications
    非线性算子方程(组)的可解性及其应用
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    Asymptotic Trace of Schr(?)dinger Operator on Fractal Drums
    分形鼓上Schr(?)inger算子的迹渐近
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    Dynamics Theory and Application Research of Chained Multibody System Based on the Representation of Adjoint Operator
    基于伴随变换算子表示的链式多体系统动力学理论与应用研究
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  算符
    THE COMPLETE OPERATOR OF FINITE GROUP
    有限群的完备算符
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    LADDER OPERATOR AND RECURRENCE RELATIONS OF SPHERICAL HARMONICS
    阶梯算符与球谐函数的递推关系
短句来源
    Equivalency Relation between Operator Method and Matrix Method in Optics
    光学算符法与矩阵法的等效性
短句来源
    ON THE EXPLICIT FORM OF THE DIFFERENTIAL OPERATOR FOR THE OLDROYD RATE TYPE CONSTITUTIVE EQUATION
    Oldroyd速率型本构方程显式化的微分算符形式
短句来源
    STUDYING TO SUPER-SYMMETRIC ALGEBRA GSU_2 Ⅱ. Racah Coefficient and irreducible tensor operator
    超对称代数GSU_2的研究 Ⅱ.Racah系数和不可约张量算符
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  经营者
    Brand Equity; Customer Mind-set; Product Market; Financial Market Behavioral Game in Corporate Governance between the Principal and the Agent: Based on an Analysis of Operator's Short-run Behavior
    委托人与代理人在公司治理中的行为博弈——基于对经营者短期行为的分析
短句来源
    And establish the demos-government-corporation operator game model. And we demonstrate that in order not to damage the benefit of the demos, the nation-owned enterprises should drop out the competitive trade.
    建立了全体人民——政府——企业经营者三方博弈模型,论证了这种三方博弈不稳定性,为了全体人民的利益不受损害,国有企业应该理性的退出竞争性行业。
短句来源
    It can also drive the operator unifies theshort-term economic efficiency and the long-term benefits.
    激励经营者把短期经济效益与长远利益相结合。
短句来源
    Now is the crucial time precisely that the Chinese enterprise and the capital market reform, how to hook enterprise's operator and owner's benefit suspension, to solve the question of the superintendent salary system, and to solve the question that Pioneer enterprise initial period direct salary cost burden strength low.
    现在正是中国企业和资本市场改革的关键时期,如何将企业的经营者和所有者的利益挂钩,同时也要解决我国经营管理者薪酬制度方面的问题,创业型企业初期直接薪酬成本负担力低的问题。
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    Manager stock time power ,it is the certain quantity awards manager the personnel in future some specific time ,by certain price. It is one kind of long time salary system for the overseas big company in "two power separations" to drive the operator and the staff work diligently.
    经理股票期权,是授予经理人员在未来某一特定时期,以一定的价格,购买一定数量本公司股票的选择权,它是国外大公司在“两权分离”情况下激励经营者及员工为公司长期发展努力工作的一种薪酬制度。
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    The Operator Norm and Error Bound for the Periodic Quintic Interpolation Splines of Deficiency 2
    亏数为2的五次周期样条插值子模和误差
短句来源
    Equiconuous Family of Operators and Completely Continuous Operator on M-PN Spaces
    M-PN空间中等度连续子族和全连续子初探
短句来源
    Sylow's Theorems for Some Operator Groups
    某些带子群的Sylow定理
短句来源
    OPERATOR SERIES SOLUTION FOR ONE CLASS OF CAUCHY PROBLEM
    一类柯西问题的子级数解法
短句来源
    A Note on the Invertibility of 2×2 Operator Matrix
    关于2×2子矩阵的可逆性的一个注记
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  operator
The space itself can be characterized essentially as the domain where the generalized Bergman operator is nondegenerate.
      
We study eigenfunctions of a Dunkl-Cherednik-type operator in the algebra $\mathcal H$, and the corresponding Fourier transforms.
      
The frame operator of this sequence is expressed as a matrix-valued function multiplying a vector-valued function.
      
Let $Mf(x) = \sup(1/2r)\int^{x+r}_{x-r} |f(t)|\;dt$ be the centered maximal operator on the line.
      
The method we use is a combination of the smoothing effect of the operator ?t + ?x(2j+1) and a gauge transformation performed on a linear system, which allows us to consider initial data with arbitrary size.
      
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The main purpose of this paper is, after making some necessary preliminaries on the theory ot linear differential operators in one real variable, to obtain the explicit condition that such an operator of any order be a Hermitean operator, and as application of the result point out various quantum-mechanical instances.

本文先论一实变数之线形微分演素(operator之若干性质,主旨在寻求Hermite演素之条件,并举出量子力学中之各种例证。

In the first part of this paper we consider the partial differential equa-tion as a generalized Euler-Poisson equation:(?) (1.1)where β,β′are constants, and a(x,y),b(x,y),c(x,y),d(x,y)are all regularfunctions in Hadamard's sense.Therefore x=y is the singular line of thecoefficients.The behaviors of the solutions of(1.1)in the neighborhood ofthe singular line x=y are described by introducing the concepts of“index”and the“regular part”:Let ρ be a constant and υ(x,y)be a regularfunction(υ(x,x)≠0)such thatu(x,y)=(x-y)~ρυ(x,y)is...

In the first part of this paper we consider the partial differential equa-tion as a generalized Euler-Poisson equation:(?) (1.1)where β,β′are constants, and a(x,y),b(x,y),c(x,y),d(x,y)are all regularfunctions in Hadamard's sense.Therefore x=y is the singular line of thecoefficients.The behaviors of the solutions of(1.1)in the neighborhood ofthe singular line x=y are described by introducing the concepts of“index”and the“regular part”:Let ρ be a constant and υ(x,y)be a regularfunction(υ(x,x)≠0)such thatu(x,y)=(x-y)~ρυ(x,y)is a solution of(1.1),then the constant ρ is said to be the“index”andρ(x,y)the“regular part”of the solution.It is shown that all the possibleindexes must satisfy the indicial equation(?)and if F(ρ+1)≠0,then the normal derivative of the regular part on thesingular line x=y is determined completely by the value itself,i.e.(?)The regular part υ(x,y)satisfies the equation of a particular form of(1.1),in which γ=0,and therefore it is sufficient to study the equation of theform(?) (?) (3.2)We define the singular Cauchy prob em as follows:to find a functionυ(x,y)continuous together with its first derivatives and twice differentiablein the region ACBD(cf.figure 1 p.518),and satisfying the equation(3.2)in the region ACBD,except the singular line AB,on which it takes anygiven regular funtion u_0(2x)as its initial value.We give the existence proof of such singular Cauchy problem in thegeneral case(β+β′≠0),and it follow that,the solution of the equation(1.1)may,in general,be expressed as.(?)where ρ_1 and ρ_2 are different roots of the indicial equation;or(?)where ρ_1 is the double root of indicial equation.The second part of this paper,deals with the singular equation in spa-ce,especially the equation of the following form:(?) (15.5)where A_σ is any linear operator which (?)epends only on the variables σ==(σ_1,…,σ_n),such that,the Cauchy problem for the associated regular equation(?) (15.6)and the initial data(?)has a unique soluion υ(x,σ_,…,σ_n).The solution of singular Cauchy pro-blem for equation(15.5),with initial data(?)can be expressed by υ(x,σ_1,…,σ_n)in the form(?)where K(τ,t)is a kernel well defined by the operator(?)For example,the kerne for Euler-Poisson-Darboux opera-tor(?)is(?). The same method can be applied to solve the Cauchy problem for thegeneralized Chapligin equation(?)(where K(t)is an increasing function,and K(0)=0),with initial data(?)The solution is given explicitly by(17.12).(p.550).

本文的第一部分研究了含奇线方程的解在奇线附近的性质;引进了“指数”的概念,从而给出了关于这类方程的“奇型郭西问题”的正确提法;并且通过一种特殊的积分-征分方程的研究,证明了这种“奇型郭西问题”的解的存在性,并且给出其近似解法;最后,就一般的情形,给出了方程一般解的表达式,从而说明了在β+β′<0时,郭西问题的多解性。本文的第二部分研究了空间含奇面方程(?)其中 A_σ是任一祇与变元σ=(σ_1…,σ_n)有关的算子,并且关于(15.5)的奇型郭西问题的解可以用关于方程(不合奇面)(?)(15.6)的郭西问题的解表示出来。同样的方法可用来解决空间却普里金方程(17.1)的郭西问题。

M. A. Haap has proved the eigenfunction expansion theorem, for the second-order non-selfadjoint differential operator l(y)= -y" + q(x)y under theconditionx2| q(x) | dx<. Using contour integral, we have not only simplifiedthe proof, but also replaced his conditipn by the weaker one x|q(x)|dx<.

目的:对二阶非自伴微分算子l(y)=-y″+q(x)y,0≤x<∞,在假定integral from 0 to ∞(x~2|q(x)|dx)<∞的条件下证明了特征展开。本文对方程的解做了更精确估计,然后直接采用回路积分,这样不但简化展开式的证明,且对q(x)的要求可降低为integral from 0 to ∞(x|q(x)|dx)<∞。

 
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