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调和函数

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Samples of the callback and virtual function Action exists in the code of the class CNotifyDirCheck.

的回调和虚函数行动的样品中存在类CNotifyDirCheck代码。"/页"

With Airy stress function, a plane elasticity problem can be simplified to solve a biharmonic function equation.

通过引入Airy应力函数,平面问题可以归结为在给定的边界条件下求解一个双调和方程。

The zonal translation networks on the unit sphere is constructed with the best approximation of spherical harmonic polynomials and the Riesz means. The Jackson theorem of approximation by such kind of zonal translation is established.

借助于球调和多项式的最佳逼近多项式和Riesz平均构造出了单位球面S上的带形平移网络,并建立了球面带形平移网络对LS(上标 q中函数一致逼近的Jackson型定理。

This paper, firstly, after a deep study of image mathematical models, sets up two kinds of image models namely Laplace partial differential equation model and biharmonic equation model and then obtains the eigenvectors of image by the methods of eigenfunction expansion and boundary recurrence.

本文首先较深入地研究了图象的数学描述,提出图象的Laplace偏微分方程和双调和方程两种模型,继而采用特征函数展开法和边界递推法分别求得图象的特征矢量。

Reduced SQP based on orthonormal bases, orthogonal bases and coordinate bases are studied and compared. With the correction item introduced, the null-space move is adjusted and the reduced SQP based on coordinate bases decomposition is improved.●The key problem of steady-state data processing for RTOPT is studied. A new algorithm of simultaneous strategies for data reconciliation and gross error detection is proposed. Here the objective function that is constructed using maximum likelihood principle and joint distribution function is minimized. Efficient algorithm is developed which exploited the nonlinear lease-square structure of this objective function.

仿真结果表明了算法的有效性;●深入研究了在线优化中的一个关键问题——稳态数据处理问题,用基于组合概率分布的目标函数联立求解粗劣误差检测和数据调和问题;以精馏塔在线优化的数据处理和模型修正为例,提出一种根据模型方程对参数的依赖性进行过程模型分解的分层策略,可以将数据调和和参数估计统一在数据处理的大框架中,为进一步的过程性能分析、操作状况评价以及在线优化提供可靠的基准,具有非常重要的工程应用价值;●将优化命题的形式扩展到更通用的形式。

There isn't maximum principle for polyharmonic equation,so this paper first established a super-sub-sulution theorem via low semi-continuity and changed assistant function.

因为多重调和方程没有极值原理,所以首先利用泛函弱半连续性和适当变换辅助函数的方法建立起多重调和方程的上下解定理。

Let be an n dimensional Riemannian manifold, the properties of harmonic functions on it are the interesting problems in geometric analysis.

在黎曼流形上的分析中,很大一部分是对流形上函数的调和性研究[1 - 2 ] ,并从中得到关于这些函数的性质。

In this paper, a sort of recursive formulas of spherical harmonics integrals, which often appear in the gravitational gradient harmonic analysis, are deduced according to the recursive formulas between every other order of spherical harmonics and the trigonometric functions'properties. And the calculated formulas on the recursive initialization also are brought forward.

本文根据球谐函数的跨次递推公式和三角函数的性质,详细推导了在重力梯度调和分析中出现的一类球楷函数积分的跨次递推公式和递推初始值的计算公式。

This chapter is dedicated to the study of the properties of close-to-convex univalent harmonic mappings.

在这一章中,我们主要研究了单叶调和映照的近于凸子族,首先给出了近于凸单叶调和映照与正实部解析函数之间的一个关系。

Second, Unexpectable situation such as bad weather or apparatus problems will cause some other cases, for example, tidal level data cant be measured completely or contains great errors. Aim at these cases, according to multiple harmonic analysis method, this paper presents a new method for the iterative harmonic analysis of tides based on the least square method of continuous function, as well as the condition when this method converges.

第二、针对恶劣天气或仪器等意外情况导致潮位数据缺测或者具有重大误差等情况发生时,根据多次调和分析方法的思想,给出了基于连续函数最小二乘法的潮汐迭代调和分析方法,给出了方法收敛的条件。

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