基于常用的求解复函数方程根的算法，进行研究探讨。
This thesis deals with the research of algorithm which is applied to finding roots of complex functional equation.
通过分析相应特征方程根的性质，给出系统稳定的一个充分条件。
By studying the properties of roots for the corresponding characteristic equation, the sufficient conditions under which the equation is stable are given.
提出了一个新的迭代公式，用此公式求解非线性方程根收敛速度快，且绝对收敛。
This paper presents a new iterative formula by which the solution of nonlinear equation had rapid and absolute convergence.
本文利用特征方程根的性质，研究了开口圆柱薄壳精确微分方程的特征方程的渐近解。
Using the root of the characteristic equation, this paper studies the asymptotic solution of the characteristic equation of the open circular cylindrical thin shells.
本文通过构造迭代函数，利用逐次逼近的方法给出了一类方程根的存在性与唯一性的判断的一种解决方案。
By means of constructional iterative equation, this paper presents a way to give out the existence and singularity of a type of equational root with gradual approach method.
首先，通过对系统线性化方程的特征方程根的分布分析，给出了滞量对系统稳定性影响的具体结论和公式。
First locally linearizing nonlinear system at equilibrium to investigate show stability of system, obtain some practicability conclusions and formulas.
本文指出了弱粘弹性材料结构的特征值是一组有理分式多项式方程的根，并给出了关于这些有理分式多项式方程根的一个定理。
It is pointed out that the eigenvalues of these structures are the roots of a series of rational fraction polynomial equations. A theorem about the roots of these equations is proved in the paper.
最后一件讽刺的事情发生在1950年，82岁的密立根发表了他的自传，其中第九章的标题为“光子存在的实验验证—爱因斯坦光电方程”“the Experimental Proof of the Existence of the photon—einsteins Photoelectric Equation .”。
One final irony: in 1950, at age 82, Millikan published his Autobiography, with Chapter 9 entitled simply "the Experimental Proof of the Existence of the Photon — Einstein's Photoelectric Equation."
特征方程的根决定了系统的稳定性以及对各种输入的响应特性。
The roots of the characteristic equation determine the stability of the system and the general nature of the transient response to any input.
也考虑了在根与解的问越上代数方程与具有滞后的代数方程的等价性。
The equivalauce of roots and solutions between algebraic equation and algebraic equation with time lags is considered.
文中也提出了利用分划曲线来判定系统特征方程具有全部负实部根的方法。
Methods of using the D-decomposition curves to judge whether all the roots of the characteristic equation possess a negative real part are also discussed.
本文利用微分方程稳定性理论，研究了城市交通容量中两种交通方式的竞争关系，它们适合于根舍模型；
Using the theory for differential equation stability, this paper investigates a struggle relationship between two traffic modes in city traffic volume , and shows they suit Gause' s model.
某些二次方程没有实数根。
求解高次实系数代数方程的根，对于控制系统的分析和综合设计有着重要意义。
Solving the algebra equation with real-coefficients of nth degree is of great importance for analysis and synthesis of a control system.
常用的试算法在确定马斯京根方程参数时一般得不到最优结果，且计算较繁杂。
The parameter of Muskingum equation is usually ascertained by the trial way that were complex and the optimized results not gotten.
本文提出一种通过对数复变换求非线性方程实数根数值解的方法。
A method to find real numerical solution of the nonlinear equation by logarithm complex conversion is presented in this paper.
不动点迭代方法是求解非线性方程近似根的一个重要方法，其应用非常广泛。
Fixed-Point Iteration method is an important technique to solve nonlinear equations for calculating approximate roots and applied widely.
从而解决了任意一元三次方程的实数根的分布的问题。
Thus solves the distributed problem of optional simple cubic equation's real root.
该文还阐明了对二阶对称张量成立的关于特征方程的重根与重向的一些结论对非对称二阶张量不一定成立。
The paper illustrates the conclusions about the multiple root of characteristic equation and characteristic vector which fit symmetric tensor of rank two may unfit unsymmetric tensor.
解方程时要进行一系列移项和同解变形，最后求出它的根，即未知量的值。
To solve the equation means to move and change the terms about without making the equation untrue, until the root of the equation is obtained, which is the value of unknown term.
导出了带无限多个参数的有根平面植树和平面树的色和方程的精确表达式。
The explicit expressions of chromatic sum equations for rooted planted trees and planar trees with infinitive parameters are derived respectively.
给出了一个数字实例，经验算其解满足原始方程且无增根。
The solution is verified with a numerical example, its rsults without extraneous roots agree with the original equations.
利用根轨迹法，分析了特征方程。
Using the root locus method, the characteristic equations are analyzed.
本文介绍了一种求实系数高次代数方程全部根的新方法。
This paper presents a new method in which all roots of a higher degree algebraic equation with real coefficients can be found out.
众所周知，时滞系统的特征方程对某一固定的时滞来说有无穷多个根，并且这些根也是很难解出的。
As everyone knows that the characteristic equations of the delay systems have infinite roots for a fixed delay and it is hard to solve for them.
由于根轨迹方程中未出现可变增益K，从而使计算大为简化。比传统的伊文思法要简便准确得多。
The computation will be simplified, since the variable gain K would not appear in the equation of the root loci.
本文提出的这种方法，它的特点在于：我们不是用牛顿迭代法去直接逼近方程的根，而是用牛顿迭代法去逼近方程的二次因子。
The method presented in this paper is not to approximate directly with Newton iterate the roots of a polynomial but to approximate its second order factors.
本文提出的这种方法，它的特点在于：我们不是用牛顿迭代法去直接逼近方程的根，而是用牛顿迭代法去逼近方程的二次因子。
The method presented in this paper is not to approximate directly with Newton iterate the roots of a polynomial but to approximate its second order factors.
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