This can be generalized to polynomial interpolation, which is sometimes more accurate but suffers from Runge's phenomenon. 这可以推广到多项式插值,有时更准确,但患有龙的现象。
Selecting suitable generalized output polynomial and using REM algorithm, the controller can provide no tracking error to the varying given input and complete compensation to the observed disturbance. 提出的自校正控制器在保证广义性能指标极小化的同时,借助REM算法,通过适当选择广义输出的多项式实现对设定值变化的无偏差跟踪和对可测干扰的完全补偿。
Generalized Laguerre polynomial and the solution of radial equation of alkaline-metal atom 广义拉盖尔多项式及碱金属原子径向方程的求解
Ring theory contains generalized polynomial identity ( GPI) theory as an important area, which is based upon the investigation of many special identities in prime and semiprime rings. 广义多项式恒等式(GPI)理论是环论的一个重要分支,对素环,半素环上各类型恒等式的研究是GPI理论发展的基础。
Interpolating with generalized α-polynomial and its optimizing 函数的广义α-多项式插值与优化
We derive an algebraic condition ( based on the generalized characteristic polynomial) for detecting the positional relationship of a planar ellipse and a planar parabola ( hyperbola) by considering all the cases: separation, exterior contact, intersection, interior contact and inclusion. 我们基于广义特征多项式的方法,给出了判断平面上椭圆与抛物线,椭圆与双曲线所有位置关系(分离、外切、相交、内切、内含等)的代数条件。
Secondly was got it was to generalized the case of multi-variable polynomial, which provided a new method of computing M-D DFTs and M-D convolutions. 首先给出了二元的情况,然后推广到了一般多元多项式乘积的情况,这为计算多维卷积和多维DFT提供了新的途径。
A Whole inverse Theorem in the L_p [ 0,1] ( 1 ≤ p) for Generalized Kantorovich Polynomial Operator 推广的Kantorovich多项式算子在Lp[0,1](1≤p)中的一个整体逆定理
By using a generalized Liapunov function and central manifold theorem, the three dimensional Hopf bifurcation for a bio-reactor competition system with polynomial yields is studied. The existence of the limit cycle in the three dimensional system is obtained by the bifurcation. 利用了广义的Liapunov函数和中心流型定理证明了当营养消耗率的倒数为一般多项式时生化反应器竞争系统的三维Hopf分支,并由此三维的Hopf分支导出了该系统极限环的存在性。
The dynamic load identification is formulated by time finite element model with shape function of generalized orthogonal polynomial in this paper. 本文利用广义正交多项式作为时间有限元的形函数,推导了基于时间有限元的动载荷识别模型。
The Study of Identification of Loads Moving on Bridge Based on Generalized Polynomial Expansion 基于广义正交域理论识别桥上移动载荷的方法研究
The Relation Ship Between the Generalized Radon Transform and Gegenbauer Polynomial 一类广义Radon变换与Gegenbauer多项式的关系问题
And a data structure of generalized list for the representation and manipulation of waveform polynomial. 波形多项式的多项式符号表示和运算的模型以及数据结构,用来实现对波形多项式比较有效的描述和运算。
Moreover, it can be generalized to any situation as long as the shape of trajectory of moving object is polynomial, although only moving along line is investigated in this paper. 虽然该方法是针对直线运动轨迹提出的,但它可以方便地推广到高次多项式曲线运动轨迹的重构。
At last the results are generalized to the case for knotted composite curve boundary, therefore a complete resolution for computing the area bounded by composite polynomial curves is given. 该文还利用幂形式多项式的剖分方法,把结果推广到了一般的可打结的拼接曲线包围面积问题上,从而完整地给出了分段多项式曲线所包围面积的计算方法。
The properties of the generalized sylvester matrix are discussed when two polynomial matrices are right coprime. The relations between an R-block circulant matrix and a suitable generalized Sylvester matrix are presented. The necessary and sufficient condition for R-block circulant matrix invertible is obtained. 讨论了两个多项式矩阵右互质时其广义Sylvester矩阵的性质,指出了广义Sylvester矩阵与R-循环分块矩阵的联系,得到了R-循环分块矩阵可逆时的充要条件。
Generalized Resultant Matrices of a Polynomial System 多项式系的广义结式矩阵
In this paper, we use a new method to show that generalized GM cryptosystems are polynomial secure. 本文用较独特的方法证明了广义GM体制是多项式安全的。
The main of all the results is as follows, the k order generalized trace of a matrix is equal to the elementary symmetrical polynomial of degree k in all eigenvalues of the matrix. 讨论了矩阵的广义迹的一些性质及其递归计算法,其中的一个主要结果如下:矩阵的k阶广义迹等于矩阵的全体特征根的k次初等对称多项式。
A control of the modulus of continuity for the generalized Kantorovich polynomial operator is presented. The results in Brown et al in 1987 and He Song-nian et al in 1998 are generalized. 给出了推广的Kantorovich多项式算子连续模的一个控制,推广了Brown等在1987和何松年等在1998的结果。
Solution to Generalized polynomial Model and Its Application in Structural Optimization 广义多项式模型的求解及其在结构优化中的应用
On Approximation of Generalized Multivariable Bernstein& Kantorovi Polynomial in L_p space 推广的多变量BernsteinKantorovi多项式在Lp空间的逼近
A conclusion on rational root of one variable polynomial with integer coefficient is generalized and a method on multivariate polynomial factorization is put forward. 将一元整系数多项式有理根的一个结论在多元多项式上进行了推广,从而得到多元多项式因式分解的一种方法。
Generalized polynomial expansion method for dynamic analysis of rotor-bearing systems 用广义多项式展式法作转子轴承系统的动力分析
Generalized polynomial identity theory is an important branch in ring theory. 环上的广义多项式恒等式理论是环论的一个重要研究方向。
In this paper the simultaneous approximation of generalized Bernstein polynomial C_n ( f, S_n; x) for functions and the derivatives is studied. 研究推广的Bernstein多项式Cn(f,Sn;x)对函数及其导数的同时逼近;
Neural network control method is theoretical and not suitable for practical application, so provided generalized polynomial model-based predictive control method. 针对神经网络控制方法理论性较强而实际应用比较难的特点,给出了更适合于实际应用的基于多项式模型的广义预测控制方法,并建立了底吹氩控制系统的多项式模型。
According to the load identification theory, the distributed dynamic load of structures can be identified by the function fitted with the generalized orthogonal polynomial, such as a line-dimensional distribution and two-dimensional surface distribution. 由载荷识别理论可知,用广义正交多项式拟合载荷函数的方法可以识别出结构的分布激励,如一维的线分布和二维的面分布。