查询词典 condition equation

The necessary condition for the equation to has a positive solution is that the norm,spectral radius,radius of numerical range of A and Q satisfy some conditions.

近年来，形如X+A*X-2A=Q的矩阵方程受到了国内外许多学者的关注，并在有限维希耳伯特空间中得到了一些相应的结论[1~3]。

By integral equation theory, the existence and uniqueness of the model solution is proved, and then its asymptotic stability under the condition of stationary state is also discussed.

为了更详细地刻画经济系统，本文第五章在宏观经济系统中引入了时滞，给出带有时滞经济系统的分布参数控制模型。

Based on the principle of total potential energy with stationary value in elastic system dynamics and the rule of "set-in-right-position" for formulating system matrixes, the vertical vibration equation set of the high-speed train and slab track time-dependent system was established considering the vertical connecting condition between the wheel and the rail.

考虑轮轨竖向位移衔接条件，基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则，建立了高速列车－板式轨道时变系统竖向振动矩阵方程；分析了CA砂浆的刚度和阻尼时此系统竖向振动响应的影响规律。

Furthermore, the boundary condition exchange equation of constant surface potential change to constant charge density is derived for these equations.

而在反离子价数提升的状况下，当有越大的反离子价数会得到越低的空间电位，而同样空间的电位分布随距离表面的距离增加有更快速度的衰减。

Because free surface and its radiation condition are satisfied automatically, the Kelvin source is only distributed on both interface and body surface on which boundary integral equation is established.

由于自由表面条件及其辐射条件已经满足，所以只需在内界面和物面上布置格林函数和建立边界积分方程。

In this paper,by analyzing mathematically starting from physical concept,the relation between intensity of secondary nonlinear polarization and optico-electric field strength is presented under the condition of kleinman symmetrization,and the equation of amplitude coupling is deducted.

安徽大学物理系；四川激光，，编辑部邮箱 1983年 02期二次非线性；总电场；非线性极化率；极化场；振幅；耦合方程；极化强度；从物理概念出发，通过数学解析，在Kleinman对称性条件下，给出二次非线性极化强度与光电场强的关系，并推导出振幅耦合方程。

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。

Making use of the inverse surface equation of wave normals and the boundary condition about the continuity of electromagnetic field tangential component at the surface of crystal, expressions about wave normal and ray direction, wave normal and ray refractive indexes were obtained.

论文建立了以光线入射方向和晶体光轴方向为基准的入射坐标系，利用波法线反曲面方程和电磁场在晶体折射界面处切向分量连续性的边界条件，得到了晶体中波法线方向、射线方向、波法线折射率和射线折射率的表达式。

By means of the fractions of the equation of the non一ideal constrained motion of the particle along the plane curve on the tangential direction and normal direction,the motion speed expression of the particle under this condition is derived,the constrained counter force is further gained,thus some non一ideal constraint problems are solved from the given angle.

通过质点沿平面曲线的非理想约束运动方程在切线和法线方向上的分式，导出质点这一条件下的运动速度表示式，并进一步求出其约束反力，从一定角度解决一些非理想约束问

A coupled-unstable-equation-system of the heat, moisture and air transfer of the third boundary condition in the building walls with one dimension were developed, and software was developed using numerical simulation.

为了研究建筑墙体的热质耦合传递规律，该文考虑了太阳辐射的影响，建立了在第三类边界条件下建筑墙体非稳态热、湿及空气渗透耦合传递的物理及数学模型，开发了相应的数值模拟计算软件。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。