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Radiative transfer equation in cartesian coordinates can be considered as a special kind of convective- diffusive equation with strong convection characteristics.

直角坐标系下的辐射传递方程可以看作一类特殊的对流扩散方程,且具有强对流特性。

Then, the turbulent SRNS equations and the two equation k-ε turbulence model are presented in Cartesian coordinate system, the equation of turbulence model is parabolized to adopt the space marching method.

为了数值模拟湍流流动,给出了直角坐标系下湍流SRNS方程及K-ε双方程湍流模型,并对K-ε方程进行了流向抛物化以适应空间推进求解的要求。

However, the Casson equation agrees well only when the shear rate is less than 10 s?1. The flow field of the carotid bifurcation usually covers a wide range of shear rate. We therefore believe that it may not be sufficient to describe the property of blood only using the Casson equation in the whole flow field of the carotid bifurcation.

然而Casson模型只有在低切变率条件下才与血液吻合的较好,而在颈动脉分岔血管中切变率值的分布范围却很广,因此,我们有理由认为,在整个颈动脉分岔血管流场中均采用Casson模型来模拟血液的本构关系是不够的。

This text utilizes the stability theory of differential equation, establishes the mathematical model of praying on the relation among the living beings, then according to the characteristic of differential equation group set up, through analyze to its equalization point,discuss the rail line distribution situation and overall stability, studies the dynamic change situation of every species during sufficient long time slot.

摘要本文利用微分方程稳定性理论,建立生物间捕食关系的数学模型,然后根据建立的微分方程组的特性,通过对其平衡点分析,轨线分布情况以及全局稳定性的讨论,研究出各物种在充分长时间段中的动态变化情况。

As long as the root of the characteristic equation is within the unit circle of z-plane and the corresponding PID parameter is got, the closed loop control system is sure to be stable. Although the root of the characteristic equation can vary within the unit circle of z-plane,different value may affect the control property differently.

本文所采用的这种确定PID参数的方法,虽然可以使特征方程的根在z平面的单位圆内任意取值,但各种取值情况对变风量空调系统的控制品质的影响却不同,因此,要对各种特征方程的根的取值情况进行寻优,本文采用遗传算法对特征方程的根进行寻优,从而使控制器的参数得以优化。

The non autonomy statement equation basic circuit was established in this paper,and the conservation electric charge equation was worked out basing the periodicity of its stable solution.

对包络检波的基本电路建立非自治状态方程,并根据其稳定解的周期性,推导出电路的电荷量守恒方程,并通过假设的条件近似和简化方程。

Using the accident mechanism of the risk management system, the essence of the energy transfer gradually, combining that the chemical equation can explain the occurrence of chemical reaction process,Chemical equation can explain the mechanism of a safety management system.

利用事故发生机理——管理系统的危险能量逐级传递的本质,与化学表达式能够准确形象的表达化学反应过程的特性相结合,用化学表达式解释安全管理系统事故的发生机理。

The original method of balancing chemical reaction equation s is improved by using the basic theorem of a system of linear equation.

利用线性方程组的基本理论对现有的配平化学方程式的方法———线性代数法加以改进,通过增加一行元素,将电子表征向量体现出来,使之适用于一切化学反应方程式的配平。

When scaled factor circulant matrices are nonsingular, we can find the single solution of the scaled factor circulant matrix equation; When scaled factor circulant matrices are singular, we can find the special as well as the general solution of the scaled factor circulant matrix equation; There is only an error of approximation when the fast algorithm is implemented on computers, and only the elements in the first row of the scaled factor circulant matrix and the constants in the diagonal matrix are needed by the fast algorithm.

当鳞状因子循环矩阵非奇异时,该快速算法求出线性方程组的唯一解;当鳞状因子循环矩阵奇异时,该快速算法求出线性方程组的特解与通解。该快速算法仅用到鳞状因子循环矩阵的第一行元素及对角矩阵中的对角上的常数进行计算。在计算机上实现时只有舍入误差。

First, the state~space equation of the circular inverted pend ulum system was established based on the Lagrange Equation. On the base of that, the circular inverted pendulum was swung up by the energy control strategy, and the controller of the system was designed by the pole placement of the optimal control theory. Second, in order to realize the observation for the unknown vari ables, stable state observers were designed based on the equivalent principle of sliding mode variable structure.

该方案在采用 Lagrange 函数建立状态空间方程的基础上,利用能量控制策略实现自动起摆;采用最优控制理论中的极点配置法设计倒立摆系统的控制器;同时利用滑模变结构的等值原理设计观测器,实现对系统未知状态变量的观测。

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