polynomial approximation造句

• Polynomial approximation method of canopy track for powered supports
  液压支架梁端轨迹的多项式逼近方法
• Variable parameter gradient estimation algorithm with local polynomial approximation
  一类时变系统参数跟踪估计
• Best polynomial approximation
  最佳多项式逼近
• In the third chapter , interval polynomial approximation of rational curves is introduced
  第三章主要介绍了有理曲线的区间多项式逼近。
• The image inverse filtering with polynomial approximation and the image recovery in spatially variant systems
  用多项式近似的图象逆滤波及空间移变系统图象的恢复
• Uniqueness of analytic functions in weighted hardy space and weighted exponential polynomial approximation in many variables
  空间中解析函数的唯一性及多元指数多项式的加权逼近
• However , due to the complex of computation and the need of the design , sometime we need to use polynomial approximation for a rational curves and surfaces
  然而由于计算的复杂性和设计的需要，有时我们还需要用多项式函数来逼近有理曲线和曲面。
• In this paper , we survey the development of polynomial approximation of rational curves ( surfaces ) and state the knowledge of interval curves ( surfaces ) in the first chapter
  本论文中，第一章首先介绍了有理曲线曲面的多项式逼近研究工作的发展情况和区间曲线曲面一些相关知识。
• Up to now , most of the known upper bounds are asymptotic , and there is no polynomial approximation algorithm except , cor planar graphs which have a 2 - approximation algorithm
  由于该问题的难度较大，近年来许多学者致力于研究其多项式可解的情形及上下界的确定。遗憾的是，到目前为止，仍未发现有效算法。
• Firstly , a weak formulation of this problem is derived . the existence , uniqueness and regularity of its solution are discussed . next , the mixed legendre - hermite polynomial approximation in non - isotropic sobolev space is proposed
  首先，我们在第二章中讨论无穷带状区域上热传导方程的弱形式及其解的存在性，唯一性和正则性，这种弱形式适合于数值计算。
• By orthogonal polynomial approximation method , we first reduce the random system into its deterministic equivalent one , so the response problem of a random system can be transformed into that of a deterministic system
  有关上述gegenbauer多项式方法在随机振动问题中的应用，现有文献中尚未见报道。上述三种方法都可以用于求解随机结构的演变随机均方响应问题。
• 7 a new algorithm , gradient estimation algorithm with variable parameters and the local polynomial approximation is presented . this algorithm is a quasi - robust algorithm . the method to obtain the error levels and the ranges of parameters are given
  提出了一种基于局部多项式逼近的变参数递归梯度估计算法，该算法是一种准鲁棒辨识算法。给出了误差域和参数的取值范围。
• In theory of approximations , the classic methods of polynomial approximation for rational expression are various interpolations and operator approximations , such as lagrange interpolation , hermite interpolation and bernstein polynomial approximation
  在逼近论中，用多项式逼近有理式的经典的方法是各种插值与算子逼近方法，如lagrange插值、 hermite插值和bernstein多项式逼近等。
• After giving the legendre polynomials approximation to parametric speed of the curve , the author gives the jacobi polynomials approximation to parametric speed with endpoints interpolation . from this , two algebraic offset approximation algorithms , which preserve the direction of normal , are derived
  给出了曲线参数速度的legendre多项式逼近，进一步给出了参数速度的插值区间端点的jacobi多项式逼近，由此导出了保持法矢平移方向的两个等距代数有理逼近算法
• In the final chapter , we discuss interval polynomial approximation of rational surfaces . firstly , we briefly state the interval - surface approximation based on the taylor expansion , and later , we give out a better interval - surface approximation based on the optimization method , which is also the main work of this paper
  第四章主要介绍了有理曲面的区间多项式的逼近，首先简单介绍了基于泰勒展开来做的区间曲面逼近，后面是本文的主要工作，我们基于优化方法得到了更好的区间曲面逼近，它也是本文的重要部分。
• In the second part , we try to apply orthogonal polynomial approximations to the dynamical response problem of the duffing equation with random parameters under harmonic excitations . we first reduce the random duffing system into its non - linear deterministic equivalent one . then , using numerical method , we study the elementary non - linear phenomena in the system , such as saddle - node bifurcation , symmetry break bifurcation , phenomena in the system , such as saddle - node bifurcation , symmetry break bifurcation , period - doubling bifurcation and chaos
  本文第二部分尝试将正交多项式逼近方法应用于随机duffing系统，提出与之等价的确定性非线性系统的新概念，并用数值方法对该系统在谐和激励下的鞍结分叉、对称破裂分叉、倍周期分叉、和混沌等各种基本非线性响应进行了初步探讨。
• The dissertation is composed as follows : 1 . a new algorithm , incremental estimation rls algorithm with variable parameters and the local polynomial approximation is presented . the concept of error levels is given , the method to obtain the error levels and . the ranges of parameters ale also given . this algorithm has fast tracking ability and good ability to overcome the noise
  提出了一种基于局部多项式逼近的变参数增量估计最小二乘算法，给出了误差域的概念和其取值范围。给出了参数取值范围。该算法具有较快的跟踪性能和较强的抗噪声能力。
• It is said that the stochastic perturbation method basically could not fulfil the requirement of dynamical random response problems . however , so far in the dissipative systems , this is not the case . thirdly , the unified approach is combined with the orthogonal polynomial approximation
  3 )将统一解法，与正交多项式逼近方法结合起来，指出文献中流传的采用正态pdf来描述随机结构参数的缺陷，并先后提出了拱形概率密度与更具有一般性的? pdf模型，并分别与chebyshev多项式逼近、 gegenbauer多项式逼近相配合，构成了一套具有广泛适应性的解法。
• Then the unified approach can be applied to it to acquire the ensemble random evolutionary response . since the normal probability density function ( pdf ) may lead to instability of some sample systems when the random parameters taking sufficiently small negative values , an arch - like pdf and a more adaptable - pdf , together with the matching chebyshev polynomial approximation and gegenbauer polynomial approximation , are suggested . numerical examples show that the suggested methods are effective
  相比较而言，随机模拟法的结果无疑是最可靠的，但是它的计算量嫌大；随机摄动法的计算量远小于随机模拟法，但是它要求随机摄动量必须是一个小量；正交展开法的计算精度好于随机摄动法，其得到结果与随机模拟法得到的结果几乎吻合，其计算量略多于随机摄动法，但与随机模拟法相比要少的多，不过计算前的准备工作较费时。