Operator theory, operator algebras, and applications.
算子理论，算子代数及其应用。
Random Walk in Random Environments and the Operator Theory of M. C.
随机环境中的随机游动与M.C。的算子理论。
The operator theory method lead to the uncertainty relation of one dimensional infinite well;
本文讨论了线性谐振子的级数解和算符法，导出了两者之间的关系。
The uncertainty relation of one dimensional infinite well is deduced with the operator theory.
用算符理论推出了一维无限深势阱的不确定关系。
In this paper, the applications of the local resolvent method in the operator theory are studied.
本文研究局部预解式方法在算子理论中的应用。
The differential operator theory has many applications in the field of mathematical physics, mechanics and so on.
微分算子理论在数学物理、力学等领域有着广泛应用。
In this paper, the method and theory of coprime factorizations of nonlinear systems based on the operator theory are introduced.
主要介绍了基于算子理论的非线性系统互质分解方法及其理论。
By using linear operator theory in L2 space, we get the distributed parameters on real line and the existence of positive solutions.
藉助L_2空间上的线性算子理论，我们得到了这类方程的控制参数在实轴上的分布情况以及存在符合物理意义的正解的条件。
By using the approach of basic operator theory, a left multiplicative perturbation theorem of Cregularized resolvent families is proved.
应用算子理论方法，给出了一个C -正则预解族的左乘积扰动定理。
By using linear operator theory in L2 space, we proved that the operators of this kind has not more than denumerable positive eigenvalues.
运用L2空间上的线性算子理论，我们证明了这类算子存在至多可数个正的本征值。
To characterize the pointwise multiplier of function space has the direct meaning to study the operator theory and property of function space.
函数空间点乘子的刻划对研究函数空间算子理论和函数空间性质有着直接的意义。
The radial momentum-position uncertainty relation in equality form of hydrogen atom and hydrogen-like ion is deduced by using the operator theory.
用算符理论推出了氢原子和类氢离子的等式型径向动量-位置不确定关系。
An analytic representation for the third-harmonic generation along the well is derived by the density matrix operator theory of the quantum mechanics.
利用量子力学中的密度矩阵算符理论导出了该系统中三次谐波产生的解析表达式。
In this paper, we get the self-adjointness of the product operators generated by different two differential expressions by operator theory and matrix calculation.
此前对微分算子的积算子自伴的研究主要集中于由同一个对称微分算式生成的两个或多个微分算子积的自伴问题上，取得了一些成果。
On the basis of the fractional calculus operator theory, the stress-strain relation of soft soil under the condition of loading with constant strain rate is proposed.
利用分数阶微积分理论提出等应变率加载情况下的软土应力—应变关系。关系式显示应力—应变之间呈乘幂函数关系。
The infimum and supremum of operators, and generalized inverse of operators are heated topics in operator theory and also have important value in both theory and application.
算子的确界性质和广义逆是近年来算子理论中比较活跃的一些研究课题，在算子理论的研究中有着重要的理论价值和应用价值。
Basing on traditional operator theory, operator madel for a circuit is established, and a new method for the solution of response of linear time invariance system is introduced.
在传统的算子理论基础上，建立了电路的算子模型，提出了求解线性非时变系统全响应的一种新方法。
On the basis of classical edge operator theory and combined with edge tracking and curve fitting theory we developed an algorithm which can deal with the edge of ordinary quality image better.
在经典算子的基础上，结合边界跟踪和曲线拟合的理论，得到了能较好处理一般质量图像边界的算法。
Part I deals with the diffraction theory in the time -space domains and operator optical methods, as well as their applications to laser optics and high power laser technology.
全文分为二部分，第一部分研究时空域衍射理论和算子光学方法，及其在激光光学和强激光技术中的应用。
A new effective image segmentation algorithm Based on Wavelet Operator is presented, which is tied tightly in Wavelet analysis with Fuzzy, information theory.
提出了一种新的有效的图像阈值分割算法。本算法将小波理论，模糊集理论和信息论三者有机的结合起来。
The main advantage of the fuzzy approach to Control lied in the fact that the notion of fuzzy Set theory enalles us to incorporate the operator experience into the control algorithm.
模糊控制器的主要优点，是能把现场操作人员及专家的经验包括在控制算法之内，从而解决了一些常规控制方法无法解决的难题。
The approximation operator for every kind of the objective function is different in approximation Theory.
在逼近问题中，对于不同的目标函数，采用的逼近算子也有所不同。
The theory of agency deems that the relationship between owner and operator is consignation-agency.
委托代理理论认为企业所有者和经营者之间是一种委托代理关系。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
According to the contractual theory of the firm, most effective enterprise mode privately owned capital combine, owner relation with operator clear shareholding system mode.
根据企业契约理论，最有效的企业模式是私有资本结合、所有者与经营者关系清晰的股份制模式。
The smooth operator is inferred based on the Optimal Discrete Filter's theory, which can reduce the influence of noise, false edges and image error.
在最优滤波器理论基础上，推导出离散域的最优平滑算子，抑制了图像的分割错误、噪声和伪边缘的影响。
Research in basic theory of GA and its application are retrospected and a new mutation operator, combinational mutation, is defined.
回顾遗传算法的理论和应用研究方面的进展，定义了新的变异算子。
Research in basic theory of GA and its application are retrospected and a new mutation operator, combinational mutation, is defined.
回顾遗传算法的理论和应用研究方面的进展，定义了新的变异算子。
应用推荐