特征方程

When the elliptical coaxial line becomes a circular coaxial line, the mode eigenequation of the circular coaxial line can be obtained from the mode eigenequation of the elliptical coaxial line using the asymptotic formulae of angular and radial Mathieu functions.

研究表明：当椭圆退化为圆时，利用角向和径向马修函数的渐进关系，可得到填充多层介质的圆形同轴线的模式特征方程，由此可见，圆形同轴线可看作椭圆形同轴线的特例；当椭圆同轴线内导体半长轴大小为零时，则椭圆同轴线就变成椭圆波导，同样的方法，可得到填充多层介质的椭圆波导模式特征方程。

The relationship between PID parameter and the root of the characteristic equation of the closed loop control system has been found out directly.

本文直接找出PID参数与闭环控制系统的特征方程的根之间的关系，只要使特征方程的根在z平面的单位圆内任意取值，然后再求出相应的PID参数，则闭环控制系统必然是稳定的。

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。

In this paper, a new method used to deal with the motion ability is studied deeply based on Routh-Hurwitz Criterion. The advantage of this kind of analysis method consists in the fact that after establishing the equation in differential calculus for the motion system, there is no need to know a root of the equation, if you know the root signs, you can judge the zero solution stability of the system.

本文利用劳斯－赫尔维茨判据(Routh-Hurwitz Criterion)对机械系统中离心转速调节器的运动德定性进行了分析，这种分析方法的优点就在于：建立系统运动微分方程的特征方程后，不必求解特征方程的根，只需知道根的符号就可判断系统的零解稳定性。

On this base,we discuss a class of singular integral equation with Hilbert kernel having solutions with singularity of order one, the solvable conditions for general equation are given and solutions for responding characteristic eq...

在以上工作的基础之上，我们提出了一类不同于文献[13]的解具一阶奇性的Hilbert核奇异积分方程，给出了完全方程的Noether定理和特征方程的解和可解条件。

The dispersion secular equation and displacement equation of Stoneley waves in infinite-solid media are obtained in this paper. The characteristics of Stoneley waves are discussed in this paper by using the secular equation.

推导了流体—固体无限介质斯通利波的特征方程及位移计算公式，并利用这一特征方程分析研究了流体—固体介质中斯通利波特性。

The fact that the naural projection is smooth and proper Fredholm map of index zero has been proven which enables us to show that the Brouwer degree of the natural projection is equal to unity.

第六章用经管系统解释和描述了经济与经营管理的最优化行为，建立了经管系统的特征方程，给出了生产函数与特征方程间的关系，以及经管变换的确定方法。

Since the roots of the characteristic equation of the digital control system must stay inside the unit circle =1 in the z-plane for the overall system to be asymptotically stable,we see that the second-order digital control system can be unstable for large values of T.

由于基层的特征方程的数字控制系统必须留在单位内循环= 1中的Z -飞机的整体系统是渐近稳定的，我们看到，二阶数字控制系统可为大型值不稳定普通应用评委的稳定性试验的特征方程的均衡器。

It is often used to describe problems in dynamics, control theory, bionomics and economics, epidemiology and many other fields either about its experimental or applied aspects, because it can reflect facts more veraciously using the delay differential equations to solute the above problems considering the influence of time and lag sufficiently.

在时滞微分方程的研究方面，从一般的特征方程到超越特征方程，从无参数的微分方程到有参数的微分方程，从无时滞的微分方程到有一个时滞的微分方程直至两个甚至多个时滞的微分方程为题的研究，经历了一个发展相当快的过程。

This technique,called the rotation operator approach,disentangles the propagator into a rotation operator and,consequently,shifts the cumbersome time-ordering problem into solving the characteristic equations equivalent to the Euler geometricequations long known to describe the motion of a rigid body.

它把相应的传播子分解为量子力学中的空间转动变换算符，把复杂的时序问题转变为求解对应的特征方程，而这些特征方程恰好与描述刚体运动的Euler几何方程完全等价。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失