查询词典 distinguished polynomial

A simple polynomial approach for A Class of nonlinear system modeling is presented. By this, the input-output data are firstly changed into [0, 1] by using topological homeomorphism conversion; then an initial polynomial model is selected. The parameters of polynomial model are estimated by using recursion least squares method. A final polynomial model is obtained by repeatedly estimating parameter and eliminating redundant terms.

给出一类非线性系统的实现简单的多项式逼近的建模方法，在此方法中，将输入输出数据通过拓扑同胚变换，变换到[0，1]区间内，用多项式逼近的方法进行建模，对初始给定的多项式模型，通过反复的参数辨识、去除模型中的冗余项，得到非线性系统的多项式逼近模型，再利用拓扑反变换，将数据还原回原始数据区间。

Romberg first use of the method is integral for integration, Then the results obtained by using the interpolation method were obtained Lagrange polynomial interpolation polynomial interpolation and Newton, re-use of least squares fitting of thinking obtained polynomial, the last of these different types of polynomial, identify their respective strengths and weaknesses.

首先运用Romberg积分方法对给出定积分进行积分，然后对得到的结果用插值方法，分别求出Lagrange插值多项式和Newton插值多项式，再运用最小二乘法的思想求出拟合多项式，最后对这些不同类型多项式进行比较，找出它们各自的优劣。

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

On the basic theory, some concepts are proposed, such as partial derivative of waveform polynomial, waveform polynomial vector, delay matrix, multiple valued Boolean process, conditional sensitization, waveform distance with crosstalk and three-dimentional Boolean process. And based on these concepts, a sensitization theorem for sequential circuits and the transition numbers theorems for waveform polynomial are proposed; the model and data structure for the representation and manipulation of waveform polynomial are proposed.

基础理论方面，提出波形多项式偏导、波形多项式向量、延时矩阵、多值Boolean过程、条件可敏化、考虑串绕的波形距离及三维Boolean过程等概念，并在此基础上提出时序电路的敏化定理、波形多项式描述跳变数的定理以及波形多项式的多项式符号表示与运算的模型和数据结构。

The division with surplus, the comprehensive division and Eisenstein Test applications on polynomial that can not be divided are mainly discussed; the sufficient condition of that polynomial with coefficient being integer has no integer root, that cubic polynomial with coefficient being integer is irreducible in rational domain and that polynomial with coefficient being integer has not two completely same roots are summed up.

主要论述了带余除法、综合除法及不可约多项式艾森斯坦判别法的应用；总结出了整系数多项式的无整数根的充分性，三次整系数多项式在有理数域上不可约的充分性，整系数多项式无重根的充分性。

As an example to cubic trigonometric polynomial Bézier,the characters of trigonometric polynomial Bézier curve is analyzed,and deduced that cubic trigonometric polynomial Bézier curve is more smooth than cubic polynomial Bézier curve.

Bézier曲线是计算机辅助几何设计中的一类重要曲线，文献[1]介绍了三次Bézier曲线插值，文献[2]介绍了三次Bézier曲线的保凸插值，但难以解决一端曲率为0，另一端曲率比较大的插值问题。

B The Good Service Award, the Distinguished Service Award, the Distinguished Service Medal, the Distinguished Service Cross, the Bronze Dragon, the Silver Dragon and the Gold Dragon are awarded to Administrators and Advisors of the Association in recognition of outstanding and distinguished services of

二 优良服务奖章、优异服务奖章、功绩荣誉奖章、功绩荣誉十字章、青龙勋章、银龙勋章及金龙勋章，乃颁予香港童军总会政务委员及顾问，以表扬长期对童军运动不同程度之优良及超卓服务。

The Good Service Award, the Distinguished Service Award, the Distinguished Service Medal, the Distinguished Service Cross, the Bronze Lion, the Silver Lion and the Gold Lion are awarded to Uniformed Adult Members of the Association in recognition of outstanding and distinguished services of different

一 优良服务奖章、优异服务奖章、功绩荣誉奖章、功绩荣誉十字章、铜狮勋章、银狮勋章及金狮勋章，乃颁予香港童军总会制服成年成员，以表扬长期对童军运动不同程度之优良及超卓服务。金狮勋章为制服成年成员最高之功绩奖励。

Tested approaches where background reflectance is described as a n-degree polynomial in wavelength, resulting in a second degree polynomial (n=2) for the O2-A band, while a higher degree polynomial (n=6) was necessary for the O2-B band, as tested over a large database of many possible combinations of r and F cases.

测试(2009)方法在背景反射被描述为一个n-degree 多项式的波长，导致了第二学位多项式(n = 2)，而O2-A乐队更高程度的多项式(n = 6)是必要的，O2-B乐队测试在大型数据库的吗许多可能的组合和F的病例。

This text from 艾森斯坦 because of distinguishing the relevant conclusion between method and number theory inside gaved a few and whole coefficient polynomial can't invite of judge the method, discussed at the same time not higher than four times whole coefficient polynomial can invite sex problem, get some three times, four times whole coefficient polynomial can invite sexual and simple judging the method.

本文由艾森斯坦因判别法及数论中的有关结论给出了几个整系数多项式不可约的判定方法，同时讨论了不高于四次的整系数多项式的可约性问题，得到了某些三次，四次整系数多项式可约性的简易判定方法。

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！