根据群延迟函数与倒谱系数之间的关系，可以确定分母的多项式系数。
Based on the relationship between the group delay function and the cepstral coefficients, the denominator polynomial coefficients can be determined.
例如 Shor的算法能在多项式时间内找到一个N位函数的周期。
Shor's algorithm, for example, is able to find the period of a function of N bits in polynomial time.
这是正常的，因为从微积分可以知道，任一函数都可以用分段多项式来逼近。
This is normal, and the arbitrary function all can approach with dividing section multinomials because can know from infinitesimal calculus.
本文提出了命题多项式，0 - 1命题多项式的概念，应用它们，实现了命题函数的解析化。
In this paper, proposition polynomial and 0-1 proposition polynomial are advanced. Using them, analysis of proposition function is realized.
在水泵的选型或运行中，通常采用多项式的最小二乘法或根据假设的函数关系来拟合水泵性能曲线。
Least square method of polynomial or the method based on the given function are used to fit pump characteristic curve in pump selection or operation.
本文采用多项式作有限条位移函数中的基本函数，并推导出了相应的关系式。
In this paper, the polynomial is adopted as basic function of finite strip method, the relative formulas have been derived.
应用第一多项式系列的线性组合构成的某连续函数的最佳逼近函数，具有一致逼近的性质。
The optimal approximation functions, of a continuous function which are constituted of the linear combination of series of Chebychev polynome have the characteristics of uniform approximation.
采用一族能较好地逼近弯剪型变形曲线的正交多项式作基函数来描述位移沿竖向变化。
The orthogonal polynomials approximated to shear-moment deformation curves were employed as the basic function to describe the displacement variation along the vertical.
这种把色散系数函数化成多项式的分析方法，适合于任意精度的宽带色散补偿。
This method of adopting the dispersion function series expansion can be used in high precision broadband dispersion compensation.
每个多项式都是可微的，而每个有理函数也是如此。
Every polynomial is differentiable, and so is every rational.
旨在利用多项式样条方法，对未知参数和非参数函数进行估计。
The purpose is to estimate unknown parameters and nonparametric function using a polynomial spline method.
用高阶奇数多项式拟合非线性混合函数，建立非线性信号盲分离模型。
The model of nonlinear blind source separation(NBSS) is built which the nonlinear transfer function is simulate by the P-th order polynomial function.
本文首先选择由三角函数和多项式组成的挠度函数和应力函数。
In this paper, the deflection and stress function in terms of trigonometrical function and polynomial expression are first proposed.
耦合径向基函数和多项式基函数，形成一种新的近似函数。
A new approximate method based on coupled radial basis functions and polynomial basis functions is presented.
它可以对多项式函数，神经网络，径向基函数进行训练。
It can train polynomial function, neural networks, or radial basis function (RBF) classifiers.
着重介绍了数值逼近方法中的多项式曲面函数模型逼近法，并通过实测数据对多项式函数模型的精度进行分析。
The paper emphasizes on the methods of polynomial surface approximation which is part of numerical approximations, and analyzes the precision of polynomial function model through the measured data.
基于多项式样条全局光滑方法，建立函数系数线性自回归模型中系数函数的样条估计。
A global smoothing method based on polynomial splines is used to estimate the coefficient functions in functional-coefficient linear autoregressive models.
最后，本文采用紧支距离基函数取代多项式基函数，提出了局部径向点插值方法，这是一种真正意义上的无网格方法。
Lastly, using the compactly supported radial functional to take the place of the polynomial function, local radial point interpolation method, is presented in this paper.
有限交换环上的多项式函数的个数问题。
The number of polynomial function over a finite commutative ring.
其次，在数值求解该组方程的过程中，未知函数裂纹表面位移差被近似为位移差的基本密度函数与多项式之积。
Then these equations are solved numerically by approximating the unknown displacement difference to a product of the fundamental density function and polynomials.
从多项式型混合函数出发，通过数学变换，构造了一类混合函数—混合函数类。
Based on the polynomial blending function, a kind of blending function-blending function class and a new type blending function-rational one are deduced.
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.
核函数分别采用多项式和径向基函数。
The kernel functions are generated to use polynomials and radial basic functions.
采用权分担值的思想讨论了整函数关于微分多项式分担一个小函数的唯一性问题。
Using the idea of weighted sharing, deal with the uniqueness problems on entire functions concerning differential polynomials.
阻抗函数用分式多项式近似，并表达为串接的并联电阻、电感的福斯特电路形式。
The impedance function is approximated by fractional polynomial, which is represented as a series connection of parallel RL elements (Foster form).
基于给出的调配函数，构造了带形状参数的多项式曲线。
Based on the presented functions, the polynomial curves with a shape parameter are constructed.
多项式是一种特殊的有理函数，因而具有许多特殊的动力学性质。
As a kind of special rational functions, polynomials have a lot of special and attracting dynamical properties.
多项式曲线拟合是一种较常用的数据处理方法，但当数据点较多时，只采用一种多项式曲线函数拟合所有数据点难以取得较好的拟合效果。
Polynomial curve fitting is a usually used data fitting method. When there are too many data for fitting, only just one polynomial curve function cannot acquire good fitting effect.
为此，采用多项式函数进行了拖拉机从起始位置向目标位置行驶的行驶路径设计。
Polynomial function was used for the design of tractor trajectory from start position to destination position.
提出了利用自由节点样条函数来改善多项式最小二乘滤波器设计的模型和方法。
A novel model based on free node spline function is put forward to improve the design of the polynomial least square filter.
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