查询词典 weight function

Each weight function is a composite function of a generalized Chebyshev polynomial and a linear function, only algebraic calculation is needed, and no requirement is involved for the calculation such as the steepest descent-like algorithms or matrix calculation.

权函数是广义Chebyshev多项式和线性函数的复合函数，只需要通过代数计算就可以求得，不需要梯度下降计算或者矩阵计算。

Each weight function is a composite function of a generalized Chebyshev polynomial and a linear function, only algebraic calculation is needed, and no requirement is involved for the calculation such as the steepest descentlike algorithms or matrix calculation.

权函数是广义Chebyshev多项式和线性函数的复合函数，只需要通过代数计算就可以求得，不需要梯度下降计算或者矩阵计算。

Secondly, using the relation between the weighted modified K-functional, the weighted modulus of smoothness ,the weighted main-part modulus of smoothness . we get the pointwise direct and inverse approximation theorem with Jacobi weight for Szdsz-Kantorovich operator. Thus some results on w = 0w(x denotes the weight function, Ditzian-Totik modulus and classic modulus are extend.

其次，引入一种改变的带权K-泛函，利用带权光滑模和带权主部光滑的关系及带权光滑模与改变带权K-泛函的等价性，关于Szász-Kantorovich算子，讨论了一阶矩不为零的算子的点态带Jacobi权逼近正定理及等价定理，推广了已有的权为零及Ditzian-Totik光滑模和古典光滑模的结果。

The advice on selecting weight function and its parameter in MLS method is presented by analyzing the influence of weight function curve on the precision of computational result on the basis of energy norm proposed.

通过建立误差的能量范数，对照分析了权函数曲线的分布规律对逼近结果的精度影响，得到了在移动最小二乘法逼近中选择权函数及其相关参数的建议。

Firstly, the equation for stress intensity factors under static uniform pressure is used as the reference case, and then the weight function for a thick-walled cylinder containing a radial edge crack can be worked out. Secondly, the dynamic stresses in uncracked thick-walled cylinders are solved under internal impulsive pressure by using mode shape function method. The solution consists of a quasi-static solution satisfying inhomogeneous boundary conditions and a dynamic solution satisfying homogeneous boundary conditions, and the history and distribution of dynamic stresses in thick-walled cylinders are derived in terms of Fourier–Bessel series. Finally, the dynamic stress intensity factor equations for thick-walled cylinder containing a radial edge crack subjected to internal impulsive pressure are given by dynamic weight function method.

首先采用静态内压下的应力强度因子作为参考解，得到了带径向边裂纹厚壁圆筒的权函数；然后用振型函数方法推导无裂纹厚壁圆筒在冲击内压下的动应力响应，分析中将相应的弹性动力学方程解分为满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加，利用傅立叶-贝塞尔级数展开，推导出了厚壁圆筒内动应力的响应历程和分布规律；最后由动应力权函数方法导出带径向边裂纹厚壁筒在冲击内压下的动态应力强度因子计算公式。

In order to solve the problem that matrix A often occurs irreversible when shape function is calculated by using traditional element free Galerkin method, the orthogonal function with the weight function is utilized in the paper. And partition of unity quadrature technique is employed and so a truly "meshless" method is realized.

针对传统无网格伽辽金方法在构造形函数时，矩阵A容易出现不可逆的弊端，采用带权正交基函数构造形函数，在积分方案上采用单位分解积分方法，从而实现了真正的"无网格"。

In this dissertation, many works have been done on the basis of the summarization of the merits of all kinds of meshless methods after a large number of relevant references are read and studied. The basic ideas, principles of meshless methods and their development in the recent years are introduced synoptically. Applications of Element-free Galerkin method in elastic foundation plate are studied deeply and some useful conclusions are obtained as follows:(1) Comparisons between numerical solutions and analytical solutions for several different styles of weight functions, including Gaussian weight function, spline weight function and singular weight function etc, are performed. The results show that Gaussian weight function is the best one.(2) Ranges of relevant parameters for Gaussian weight function are given.(3) Influences of nodal distribution schemes and the number of Gaussian integrated dots on computational results are discussed.

在本文中，作者在认真阅读和研究所搜集到的大量参考文献、综合各种无网格法优点的基础上，首先，对无网格法的基本思想、基本原理、发展现状作了概括性的介绍；其次，对无单元Galerkin法在弹性地基板计算中的应用进行了较为深入的探讨：(1)分别对高斯型、样条型、奇异型等不同形式的权函数进行比较分析，数值计算结果与级数解析解的比较表明，高斯型权函数效果较好：(2)对高斯型权函数进行参数研究，得到地基板计算中相关参数的选取范围；(3)对不同节点分布方案和不同高斯积分对计算结果的影响等作了有益的讨论。

This paper presents a new weight function,named the normal weight function ,which is based on the probability theory and the error theory.

文章基于概率论和误差理论，提出了一种新的权函数——正态权函数，从理论和实践上证明了它的实用、可行性。

For 2p〓-periodic binary sequences, a new weight function, according to the above presented vector expression of the linear complexity, is defined. By analyzing the weight of the product of a special kind polynomial in finite field, the upper and lower bounds on minimum error, expressed by the here denned weight of the linear complexity, are given in different cases.

对于2p〓-周期二元序列，利用所给出的线性复杂度的向量表示定义了一种新的重量函数，通过研究有限域上一类特殊多项式乘积的重量，分情况给出了用线性复杂度的重量表示的最小错误minerror的上界和下界，这里的重量是由我们所定义的重量函数确定的。

Tuns , in the computation of inverse weight , a brief format of the weight Function can be selected and those complicated computations of the coefficients of the weight Function can be avoided .

这样，在计算权倒数时，就可以选择一种形式简单的权函数式来列，以避免那些复杂的权函数系数的计算。

On closer examination, though, this is not a vote for multilateralism but just the opposite.

仔细审视后我们发现，这并非是对多边主义投出的赞成票，而是恰好相反。

Uncovering their weak spots, so I can defeat them.

揭露出他们的弱点，这样我就可以打败他们了。