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• When the determinant is expanded, it produces a polynomial, called the characteristic polynomial.

行列式展开后，得到一个多项式叫它特征多项式

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• We survey the reduction formula of characteristic polynomial of Regular M-crossing Tree and obtain which Regular M-crossing Tree become the Integral Graph condition.

本文主要是研究正则m-特征多项式递推公式通过递推公式得出正则m-成为条件

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• In this correspondence, a new class of sextic residue sequences is constructed and the characteristic polynomial and hence the linear complexity of it are determined.

本文构造了一类新的剩余序列，给出了该类序列特征多项式线性复杂度

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• A Characteristic polynomial algorithm for computation of Chebyshev polynomial over finite field is modified to achieve faster execution speed.

计算有限切比雪夫多项式特征多项式算法进行改进提高算法执行速度

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• Similar matrices have the same characteristic polynomial , thus they have the same eigenvalues .

相似矩阵相同特征多项式从而相同特征值

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• 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全部是否位于左半平面迭代

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• Since this simplified algorithm requires no computation of the characteristic polynomial of the controlled system, it makes the practical calculation convenient.

算法需要计算控制系统特征多项式因此实际计算带来方便

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• The property of companion matrix is studied, and the method of calculating the characteristic polynomial of matrix with similar transformation is explained.

研究了性质论述了相似变换计算矩阵特征多项式方法

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• There are two kinds of method to calculate the eigenvalues of a matrix:characteristic polynomial method and QR method.

结合多项式方法QR方法各自特点，提出了一种计算矩阵重特征值方法

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• This paper introduces the reduced order theory of characteristic polynomial and its application in the higher order matrix aspects are presented.

研究特征多项式定理以及矩阵方面应用

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• In the programming for finding the eigenvalues of the companion matrix of the characteristic polynomial equation, a new balancing transformation technique is developed.

求解频率方程时采用特征多项式伴随矩阵全部特征值方法

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• The formulae for the number of loops, edges, triangles, pairs of two-way nodes and pairs of one-way nodes are deduced by the coefficients of a characteristic polynomial, so on.

推导特征多项式系数表示线图（无重图）中个数双向结点个数，单向结点个数及简单图中有向三角形个数计算公式等等

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• In this paper, the concept of the characteristic polynomial, the converse graph, the symmetrical closure and others are defined.

本文引入有向特征多项式对称闭包概念。初步探讨它们的某些整体性质的关系。

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• HMO characteristic polynomial and select eigenvalues for many heterocyclic benzenoids are calculated by using chemical graph theory methods.

应用化学计算杂环芳烃HMO选择多项式

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• And as the company advertises, if you need to compute the characteristic polynomial of a 400 x 400 matrix over Q, you need Fermat.

公司广告宣称如果需要计算Q400x400矩阵特征多项式那么您就需要Fermat

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• According to the theorem in algebraic geometry that if the rational mapping is onto, it shows that coefficients of the characteristic polynomial of linear systems can be almost assigned arbitrarily.

利用代数几何方法，研究两个线性系统状态反馈和输出反馈同时极点配置问题。

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• Based on the pseudo-division algorithm for multivariate matrix polynomials, a new solving process of characteristic series for algebraic polynomial systems is given.

基于矩阵多元多项式的带余除法给出代数情形多项式特征求法，并举例验证了这种方法有效性。

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• Compared with Simplex Cutting Plane Method (SCPM) IPCPM is simpler and during the scale of system becoming larger and larger it is more efficient because of its polynomial-time characteristic.

单纯形平面相比，内点平面法不仅简单易实现，计算效率高，而且随着问题规模增加，发挥其多项式时间特性优点。

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• Thus the authors use distributed polynomial with orthogonal characteristic for approximating displacement function of the beam;

利用正交特征分布多项式逼近位移函数

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• The research results reveal that comparative valve balanced movement characteristic can obtain using high order polynomial dynamic cam in high speed gasoline engine.

结果表明采用多项式动力凸轮用于高速汽油机凸轮设计，能够获得相对平稳气门运动特性

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• The characteristic curve of IGBT is fitted with polynomial to establish its loss model, based on which its loss calculation method is proposed.

采用多项式方法IGBT器件手册提供特性曲线建立多项式损耗模型给出了一基于曲线理论计算损耗方法

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• While the discrete test run data of an aero-engine was adapted using the high order multi-parameters polynomial fit method, the steady characteristic curves were founded.

为此航空发动机离散试车数据进行多元多项式拟合建立了该型号发动机的稳态特性曲线

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• Boolean functions and pseudo-Boolean functions have been widely used in different fields, whose polynomial representations contribute to depicting their some characteristic properties.

布尔函数布尔函数不同领域有着广泛应用利用多项式表示有利于刻划它们一些特征属性

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• Both of them are polynomial time algorithms. Because of their inherent characteristic of hierarchical and entire space, the global routing is suitable for large scale multi layer routing.

算法由块内布线算法布线算法部分组成它们时间复杂性多项式时间算法

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• In this paper, we discuss the locally topological structures of nonlinear homogeneous systems with one zero characteristic root, and give a criteria by the right-hand polynomial coefficients.

本文讨论具有一个特征非线性齐次系统局部拓扑结构给出利用系统多项式系数判断准则

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• In this paper, we discuss the locally topological structures of nonlinear homogeneous systems with one zero characteristic root, and give a criteria by the right-hand polynomial coefficients.

本文讨论具有一个特征非线性齐次系统局部拓扑结构给出利用系统多项式系数判断准则

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