多项式函数

基于Legendre多项式函数系的齐次扩容精细算法

A homogeneous high precise direct integration based on legendre polynomial series

在第二章中，我们采用截断多项式函数为核函数，解析的给出点、直线段、圆弧、二次曲线和三角面片等骨架的势函数。

In chapter two , using piecewise quartic polynomial as kernel function , we give analytical convolution solutions for points , line segments , arcs , quadratic Bezier curves and triangle segments .

本文提出了一种以多项式函数为主要工具去求前n个正整数的方幂之和的新方法。

This paper introduced a polynomial function as a main tool in the exponent sum of the first n natural numbers .

递推法求一元n次实系数多项式函数的完全等价n次Bezier参数曲线

Bezier curve absolutely equaling to an unitary real parameter function DESIGN OF VARIABLE NUMBER PARAMETER FUNCTION

对高次多项式函数这类非线性映射给出了一般n次迭代的一个计算结果，还讨论了一维欧氏空间中一些非多项式型映射的迭代。

This paper is devoted to computation and estimation of the general iteration . Firstly , one-dimensional maps in polynomial form are considered .

多项式函数运算的一些Fortran子程序

Fortran Subroutines For Polynomial Functions

仿真结果说明，该算法比传统的最小二乘法（LS）和文献〔1〕提出的隐层采用多项式函数的FNN方法（FNN－P）均具有一定的优越性。

The simulation results show that this algorithm outperforms least squares method and FNN with polynomial activation functions in a previous paper .

本文对Gibbs现象进行了讨论，并找到了克服它的方法，该方法使用有限项多项式函数，并且是可行的。

This paper presents a method how to escape from the Gibbs ' Phenomenon by finite polynomial .

油菜根、茎枝、叶干物质分配呈现出多项式函数的变化规律，角果干物质分配表现为Logistic曲线的变化特征。

The distribution pattern in root , stem and branch , and leaf corresponds to multinomial function model , and the pattern in pod corresponds to Logistic equation .

求解高次实系数代数方程的Excel算法较程序化地给出了实系数多项式函数实数根的求法。

Excel Method for Calculation Roots of High Order Real Algebraic Equations ; Methods of exploring the real number roots of a real coefficient polynomial function are procedurally given .

基于径向基神经网络（RBFNN）的良好逼近性能，使用径向基（RBF）作为模型的基函数；并证明高斯径向基函数对时变参数的逼近性能优越于传统的多项式函数基。

Based on radial basis function neural network ( RBFNN ) ' good performance on function approximation , applied RBF to the TVAR parametric model .

本文给出了利用综合法求n次多项式函数f（x）在x0的泰勒展开的一种方法。地球膨胀说提出、发展及其主要事实依据这种改造的特点是它的扩张性。

In this article , a simple method is given to the Taylor 's expansion of a polynomial function f ( x ) of the nth degree at an arbitrary point x_0 by synthetic division .

利用神经网络的自适应性、任意非线性函数逼近的优点，以多项式函数代替常用的S-函数，运用改进的BP算法可以辨识出传感器动态特性模型的非线性参数。

Making use of some advantages for self-adaptation of neural network ( NN ) and optional nonlinear function approximation , normal S-function is replaced with P-function , nonlinear parameter of the dynamic model of sensor is identified with the improved BP-Algorithm .

首先研究了基于正交多项式函数的神经网络逼近理论和方法，并在此基础上证明了新型Chebyshev神经网络具有良好的非线性并研究了它的全局最优逼近性质。

Universal approximation capability of orthogonal polynomials based on NN was proposed , and with which nonlinear approximation and global optimization of this new type Chebyshev NN were proved .

针对这种情况，文章采用二次多项式函数重构响应面来寻求设计验算点；然后在设计验算点附近，采用BP神经网络重构响应面，拟合极限状态函数；

In this paper , the quadratic polynomial function is used to reconstruct the response surface in search of the possible breakdown point , and the BP neural network is adopted to reconstruct the response surface around the possible breakdown point , fitting the limit state function .

用变形的三次多项式函数表征隔振材料的非线性刚度特性，建立了被动隔振体的非线性动力学方程，得到有阻尼受迫振动Duffing方程。

The nonlinear stiffness characteristics of the vibration isolating material are described by a cubic polynomial function of the deformation . The nonlinear dynamic equation is developed as a forced damping Duffing equation .

通过理论分析，在COI坐标系下，单机等值机群的电磁功率可表示为功角多项式函数。

The electromagnetic power of single equivalent is expressed by the polynomial function according to the proposed Taylor series expansion analysis in the COI frame by theoretical analysis .

高梯度是工程中关键的特征之一，本文讨论和研究描述高梯度问题的函数逼近，包括：多项式函数逼近、复合函数逼近、Bezier函数逼近。

S : High gradient is an important aspect of key characteristics in engineering . The paper focuses on the descriptions and the treatments of this characteristic , including approximations of polynomial , composite function and Bezier based function .

文章提出一类基于时域分段线性多项式函数（PLPF）的辨识方法用于大型汽轮机的数学建模和参数辨识。

This study introduces a method of modeling and parameter-identification over large turbine based on PLPF in time domain .

通过数值方法建立了抽水井水质与注水井水质的非线性响应关系，采用非线性的多项式函数形式，应用Marquardt法拟合。

Nonlinear response relationship between the water quality of pump well and the water quality of injection well is set up by numerical method . The nonlinear multinormal function is adopted and Marquardt method is used for fitting .

采用半解析有限柱壳条元法分析带加劲环的埋藏式压力钢管外压稳定性问题，轴向采用解析函数，周向采用离散的Hermite多项式函数。

The semi 、 analytical cylinder shell finite strip element method is adopted in stability analysis for buried penstocks with stiffener rings under external water pressure , in which the analytic function is used in the axial direction , and the discrete Hermite multivariate function in the circumferential direction .

该文研究了用多项式函数作光滑的支撑向量机（PSSVM）模型，并提出了两个用于光滑多项式的函数。

In this paper , authors research the so called PSSVM which uses the polynomial functions to smoothen the objective function and present two polynomial functions .

在Longstaff和Schwartz（LS，2001）提出的基于多项式函数逼近的美式期权仿真定价基础上，给出美式期权重要性抽样仿真方法&顺推法及其具体算法，同时给出重要性与分层抽样相结合的算法。

Based on polynomial function-based pricing method of Longstaff and Schwartz ( LS , 2001 ), one importance sampling for pricing American option & forward tracking and its arithmetic was proposed . And the importance sampling arithmetic combining with stratification sampling was proposed , too .

有理指数幂多项式函数及其根的定理

Polynomial Function with Rational Exponent Power and Theorem of Its Roots

动力边界元法的正交多项式函数的近似基本解研究

Study of Approximate Fundamental Solution of Orthogonal Polynomials in Dynamical BEM

基于正交多项式函数系的噪声抑制方法

The method of decreasing noise basing on the orthogonal polynomial functions

基于正交多项式函数的神经网络及其性质研究

The Study on the Orthogonal Polynomials-based Neural Networks and Its Properties

本文进一步讨论了利用多项式函数进行三值扩频和正交调制的方法。

The methods of ternary spread spectrum and orthogonal modulation are discussed .

因此，很多学者开始用三角多项式函数构造基函数。

Many scholars begin to construct basic functions by trigonometric polynomials functions .

分段二次多项式函数的运算矩阵及在线性时变系统中的应用

Operational Matrices of Piecewise Quadratic Polynomial Functions with Application to Linear Time-Varying Systems