The roots of the characteristic equation determine the stability of the system and the general nature of the transient response to any input.
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。
By studying the properties of roots for the corresponding characteristic equation, the sufficient conditions under which the equation is stable are given.
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。
The algebraic condition can be represented by the distribution of the roots of the generalized characteristic equation of the ellipse and parabola (hyperbola).
这些代数条件表示为由椭圆与抛物线，椭圆与双曲线确定的广义特征多项式的根的分布。
In this paper, we present an iterative method for determining whether all roots of characteristic polynomial are on the left half-plane.
本文提出一种确定特征多项式的全部根是否位于左半平面的迭代法。
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.
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。
After analyzing the causes, the author suggests it would be better to calculate directly characteristic roots using some matured software.
在分析其原因后，作者认为系数量化效应的计算以直接计算特征根更为方便。
For a long time standardized instruction is the striking characteristic of classroom instruction in Chinese basic education, the existence of which has the economical , cultural and educational roots.
长期以来划一性教学是我国基础教育课堂教学的突出特征，有其存在的经济文化根源和教育根源。
Purpose The anatomical basis and clinical characteristic of cervical nerve roots compression out of intervertebral foramen were studied.
目的了解颈神经根受压解剖学基础，分析颈神经根受压的临床特点、诊断和治疗。
A real factorization method based on evolutionary algorithms is proposed for finding tbe roots of the characteristic equation of a linear time-invariant closed-loop system.
针对线性定常闭环系统特征方程的求根问题，提出了一种基于演化算法的实因式分解法。
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.
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。
This paper introduced the advantage and characteristic of L-series roots blower, which could substitute the liquid ring pump in the process of hydrogen transportation.
本文介绍了L系列罗茨鼓风机在氢气输送过程中替代液环泵的优势与特点。
Furthermore, even if the exact characteristic equation can be obtained, we could not compute the roots of the equation in the demanding precision.
进一步，即使可以精确地得到特征方程，我们依然无法在有限精度的限制下去计算方程的根。
The roots? Of the characteristic equations are known as eigenvalues, or characteristic values.
特征方程之根？称为本征值或特征值。
The consideration of damping force leads to a fact that there exist complex roots to the characteristic equation for the structures.
考虑阻尼力后，结构的特征方程应有复数根，因而通常用于求解多项式方程实数根的二分法不再适用。
We studied the asymptotic behavior of solutions to third order Poincaré difference equation whose characteristic equation has multiple roots.
研究了三阶Poincaré差分方程解的渐近性质。这种差分方程对应的常系数线性差分方程的特征方程有重根。
Studies suggest that groups of grass-roots blog committed to truth exploration and rational spirit criticism, fully highlighting the characteristic and potential to construct ideal public sphere.
本文经研究认为，一批民间博客在公共事件中致力于探询真相与理性批判精神，充分彰显了其具备构建公共领域的特质与潜力。
Studies suggest that groups of grass-roots blog committed to truth exploration and rational spirit criticism, fully highlighting the characteristic and potential to construct ideal public sphere.
本文经研究认为，一批民间博客在公共事件中致力于探询真相与理性批判精神，充分彰显了其具备构建公共领域的特质与潜力。
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