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Rules for fusing, which specify the possible values of the charge that can be obtained when two particles of known charge are combinedbtogether, used for reading out information. In the #nu=5/2# FQH state, it can be realized by measuring whether each pair annihilates fully or not with interference experiment. The representation of the braid group realized by n anyons is cmpletely characterized by the R-matrix and F-matrix which satisfy a pentagon equation and a hexagon equation, coherence conditions for the corresponding anyon model.

满足一定的聚合规则,用于信息读取(在填充因子为5/2的分数量子霍尔效应中,可以通过干涉实验测量每对相邻的粒子相聚合的湮灭情况来实现信息读取);N个任意子组成的体系的标准基中辫子群表示可以完全由R矩阵和F矩阵决定,不同任意子模型中的R矩阵和F矩阵的具体形式可以通过五边形和六边形方程求出。

A numerical calculation program is written up for the various solution methods in this paper and the program is being used in various aspects of inverse problem of environmental hydraulics, including inverse problem in reverse process of one-dimensional unstable diffusion, inverse problem in reverse process of convection-diffusion, inverse problem for the dispersion coefficient in water quality model, The inverse problem of coefficient identification for nonlinear Boussinesq equation, parameter identification inverse problem for water quality model, the inversion of parameter of BOD-DO water model, the inverse problem of the source of convection-diffusion, identification of the steady-state permeability for two dimensional isotropic medium, two-dimensional steady inverse problem of convection-diffusion and parameter identification inverse problem for two-dimensional parabolic equation, etc.

对本文提出的各种算法,编制了数值计算程序,并把它应用于环境水力学反问题诸多领域,包括污染物一维非恒定扩散逆过程反问题,对流扩散方程逆过程反问题,河流水质纵向弥散系数反问题,非线性Boussinesq方程反问题,河流水质多参数识别反问题,BOD-DO水质模型参数反演问题,对流—扩散方程源项反问题及二维恒定各向同性介质渗透系数反问题,二维定常对流——扩散方程及二维抛物型方程参数控制反问题等。

Here the deriver' self-equilibrium velocity denotes the deriver' desired equilibrium velocity accompanying that the traffic flow is in the equilibrium state. Consequently the adaptive flux model like Navier-stokes traffic equation is derived from the extended Paveri-Fontana equation. Characteristics and the linear stability are analyzed. Numerical solution of the macroscopic traffic equations verifies rationality of our model.

把适应性公式和约化Paveri-Fontana等式结合得到扩展的Paveri-Fontana方程,通过使用Chapman – Enskog方法导出类Naveri-Stokes 方程的适应性交通流模型;通过线性稳定性分析,得到了适应性交通流模型的稳定条件;通过对算例的数值分析与其它连续性模型和交通实测数据的对比,验证了我们模型的合理性。

On the base of INS, the method of initial alignment is introduced. And the state equation and observation equation are proposed. Using velocity error as exterior value of observation, We achieve the initial alignment.

在实现INS的基础上,研究INS和GPS组合的初始对准方法,建立组合导航系统的状态方程及速度观测方程,应用卡尔曼滤波器实现了INS/GPS的组合对准。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象,在此基础上我们建立了相应的量子相空间理论,其中包括引入适合该空间的新的Wigner算符;并在该表象的基础上,建立了广义Fredholm算符方程,求出了它的解,并运用该方程导出有关厄米多项式的算符公式;揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似,这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

In order to investigate the existence conditions of the robust optimal state feedback of uncertain system, we have to study the problem of GARE, that is the solution existence of the following equation PA+A'P+Q-PMP=0, Q=Q', M=M' In chapter 2, using some preliminary results and properties of the Riccati differential equation, we have established the sufficient conditions for the GARE problem.

在讨论不确定性系统LQL方法的状态反馈解的存在性条件时,引出了第二章讨论一般代数Riccati方程解的存在性问题,对一般Riccati方程 PA+A'P+Q-PMP=0,Q=Q',M=M'第二章中先列举讨论了Q、M为正、负定各种情况下的实对称解的存在条件,然后着重研究了M、Q不定的情形。

For the four laterals simply supported plate, the transverse deflection of plate is expanded over the modal shapes, the electroelastic model with self-sensing actuators plate is given, and the current is considered as output variable of measurement equation. Generalized modal coordinates being state variables, LQG and H∞control is proceeded using the state space equation.

将板的横向位移按模态展开,对配置压电自感作动器的薄板建立了模型,给出以广义模态坐标为状态变量的状态方程和以传感电流为输出的观测方程,在此基础上,对系统进行了LQG控制和H∞控制。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状;然后,将供应链系统作为一个复杂系统来分析,确定了系统运行过程中所经历的状态,通过引入补充变量的方法,建立了用偏微分方程组描述的分布参数系统模型,用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式,证明了系统解存在的唯一性、非负性和指数阶渐近稳定性;并借助Matlab工具,利用二阶、三阶辛普森积分方程模拟系统解的性态,并给出系统动态解的仿真图;本文又对上述系统增加了系统可能失效状态和优化调整状态,并在此基础上建立了用偏微分方程组描述的分布参数系统模型,同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究,得到系统动态解和稳态解的数学表达式,证明了系统动态解存在的唯一性、非负性及渐近稳定性,为进一步分析和研究供应链优化奠定了理论基础。

In the study of the water oxygen resume, start off the mechanism of the atmosphere oxygen resume, the paper first poses the atmosphere oxygen resume equation and oxygen resume coefficent calculation formulation of the static state water. The number of the progressing of the Blak-phelps equation is made certain, and the atmosphere oxygen resume equation and coefficent are ensured in both conditions of considering the floor reflection and unconsidering the floor reflection.

在对湖库水体复氧研究中,从大气复氧的机理出发,首先提出静态水体的大气复氧方程和大气复氧系数计算公式,其中对Blak-phelps方程级数项项数的确定,不考虑底部反射的大气复氧方程和考虑底部反射的大气复氧这三个问题进行了深入分析,得出相应的结果。

The physical character of the super-critical hydrogen in the regenerative cooling channel is studied : started with the physical character of the super-critical hydrogen , using the method of least square , figuring out the state equation which is applicable to the state from liquid to the super-critical in the super-critical pressure , the constrained convection and the heat transfer in the super-critical channel are simulated using the equation , the results of the simulation are identical with the experiment in the same condition .

对再生冷却通道内的超临界氢的物性进行了研究:从超临界氢物性的实验结果入手,用最小二乘法拟合出适用于超临界压力下氢由液态过渡到超临界态的状态方程,并利用该方程对超临界氢管内强迫对流换热进行了数值仿真,仿真结果与相同条件下实验结果相一致。

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