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In terms of the theory of algebraic geometry, the problem of characteristic polynomial assignment of the closed-loop systems is transferr.

以代数几何方法为工具,将此闭环系统的特征多项式配置问题转化为判别有理映射是否为到上的,推导出多输入的 2 D广义系统Roe sser模型由状态反馈几乎任意配置特征多项式系数的充分条件。

In Chapter 1,we investigate BN-pairs of classical groups over local rings.We construct the BN-pairs arising from classical groups of linear,orthogonal and symplectic type over local rings.

本文主要研究局部环上典型群的BN-对,二面体群的BN-对和不变式环,有限域上典型群的极大子群和根子群的有理不变式域的结构。

With a constructed theorem, the author comes to a conclusion that this method, in a sense, equals to the algorithm of the continued fraction.

通过构造的一个定理对这个算法进行的分析讨论证实,闰周算法是一种很好的实数有理逼近算法,事实上,从某种意义上讲,它与连分数展开算法是等价的。

The definition of vector valued continued fraction interpolating splinesis at first introduced by means of generalized inverse of a vector.

本文首次引入了关于广义逆的向量有理插值样条的概念。这类插值样条具有Thiele型连分式的截断分式的表现形式。

First, we extend the general finite element method from the function surface to the parameter function. Second, we bring this kind of method into the design of rational Bézier minimal surface. Third, we transform the problem of Dirichlet energy function into the problem of minimizing a discrete objective function.

首先推广了函数曲面中的有限元方法,进而研究如何针对参数曲面使用有限元方法,并把该方法引入到有理Bézier极小曲面造型的设计中,从而将连续的Dirichlet能量函数极小化问题,转化为一个离散形式的目标函数的极小化问题。

A new method of finding the points on an elliptic curve by Maple is supplied; Maple is applied to the addition operation, the scalar product operation and the method of seeking the order of a basic point on the elliptic curve are proposed; the applications of Maple on ECC including encryption and decryption are supplied.

利用Maple编程求出椭圆曲线上有理点,用Maple实现椭圆曲线上两点的加法、点的数乘运算及求某个基点阶数的算法,利用Maple实现椭圆曲线密码体制的加密及解密。相比C语言,Maple语言更接近于平时说话的语法。同时,Maple语言可以方便地转化成C语言。

Rational number wavelet filter can be constructed by reducing the order of vanishing moments of wavelet function, but the value of free variable that appears in design equations should be selected in a certain range, because the wavelet construction must meet Daubechies compact-support condition.

有理系数小波滤波器的设计可以通过降低小波函数消失矩阶数来实现,但设计方程中出现的自由变量的取值需要在一定的范围之内,因为需要满足Daubechies紧支集条件。

According to the Galois extension theory of the number field,the discriminant of the field and the integral basis theory,the necessary and sufficient condition is attained which is m≡n≡1(mod4),where m and n are two different rational integers without square factors.

四次域是重要的Galois数域之一,该文对四次域Q进行了讨论;利用Galois扩张、域的判别式及整基等一些理论,得出了其具有正规整基的充要条件为m≡n≡1(mod4)(其中m,n是2个不同的无平方因子有理整数)。

Emphases are put on solving the problem of repeating searching extreme points in contours of Gauss curvature drawing,and the improved Bulirsch Stoer contour curve searching method is used in extreme points searching to speed up the searching efficiency.

提出了一种针对非均匀有理 B样条自由曲面的高斯曲率等值线的光顺检测方法,重点解决绘制高斯曲率等值线时出现的极值点的重复搜索问题,并将改进的Bulirsch-Stoer等值线搜索法用于极值搜索中,提高了搜索效率。

Some new formulae for the derivative bounds of parametric curves, such as the general polynomial curves and rational polynomial curves in CAGD, are presented.

对CAGD中常见的多项式曲线和有理多项式曲线的导矢的界提出了新的估计公式。

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Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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The almost sure central limit theorem is a pop topic of the probability research in recent years,because it has many actual applications in the random analogue.

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