调和

Based on the continuous ordered weighted harmonic averaging operator, the continuous three parameters interval argument OWHA operator is proposed.

基于连续区间数据有序加权调和平均算子，定义了连续的三参数区间数据有序加权调和平均算子，并将该算子进行了拓展，提出了加权调和CPOWHA算子、有序加权调和CPOWHA算子和组合的CPOWHA算子。

This paper presents the boundary value problem solved as the biharmonic equation of upper plane and strip domain with Green functional method and it deals with the numerical solution of bihormonic equation, using the Matlab program calculation to realize the visualization of numeric solution.

用Green函数法求解了区域为上半平面和带形区域的双调和泊松方程的边值问题；以及探讨了双调和方程的数值解，并用Matlab编程计算实现了双调和方程数值解的可视化。

The result showed that there was reverse correlation between cultivated land area and urbanization leve1,the Coordinated index between urbanization and farmland area was a nonlinear relation in the past 30 years,the overall trend was"concessive and basically concessive→not concessive→concessive and basically concessive".

结果显示，30年间成都市城市化水平与耕地面积变化呈现出显著的负相关关系，城市化水平与耕地面积协调度呈阶段性分布，总体呈现出"调和和基本调和→不协调→调和和基本调和"的趋势。

Compared with the comparison group,the number of children who have positive history of hypersusceptibility and familys disease are markedly different. 2.Compared with the comparison group, the number of children not only between the congruity constitution and non-congruity constitution,but also between the Fei-Pi constitution and Pi-Shen constitution have significant difference.AH the children in CVA group are non-congruity constitution types.Of all the children with Fei-Pi constitution types,there is much more distributing in CVA group than that of comparison group. 3.The criterion of constitution types which is adopted in this research can be recommended in some degree and area. 4. there is a hypothesis that probably the particular constitution which caused the CVA in the episode of CVA.

1、与对照组相比，CVA患儿有过敏史及相关疾病家族史人数比较差异极其显著。2、两组儿童调和质人数和非调和质人数比较差异极其显著，CVA组患儿均为非调和质；CVA组和对照组儿童非调和质中A、B型差异极其显著，CVA组B型体质分布偏多，CVA组与对照组肺脾质儿童中也以CVA组B型体质分布居多。3、本研究所采用的体质分型标准在CVA患儿的体质研究中可以在一定范围内一定程度上采用。4、CVA患儿病因上可能存在体质发病途径。

Harmonic function generalizes the harmonic function, the following respects are discussed: the least energy, Liouville theorem with respect to harmonic function and the relation of harmonic function and subharmonic function.

如对次调和函数的平均值不等式的推导[3- 4 ] ，调和函数的存在性的证明等[5] 。2 0 0 0年，PeterLi提出了另外一种函数，即调和函数，这一类函数比调和函数的应用广泛得多，同时又具有和调和函数类似的性质。

In this project, we have mainly researched the complex-anlyticity,constancy and stability of pluriharmonic maps to complex grassmannian manifolds;the characterization and isotropicity of pluriharmonic maps with finite uniton number;the regularity, singularty and Liouville theorem of harmonic maps.

本课题着重研究到复Grassmann流形多重调和映照的复分析、常值性及稳定性之间的关系；具有有限uniton数的多重调和映照的特征与迷向性；调和映照的正则性、奇异性及Liouville定理。

In this paper, we give explicit constructions and formulations for harmonic maps from R1,1 into classical real semisimple Lie groups by using Darboux transformation. We also discuss pluriharmonic maps from complex manifoldsinto symmetric spaces and Willmore surfaces in Sn. By converting geometric conditions satisfied by these maps into integrable systems, and using the the-ory of integrable systems, we give explicit constructions for pluriharmonic maps from complex manifolds into symmetric spaces and the Willmore surfaces in Sn respectively. Finally, we classify hypersurfaces in Sn+1 with three distinct prin-ciple curvatures and zero Mobius form using the theory of Mobius geometry. The paper consists of four chapters.

本文首先利用Darboux变换的方法给出了从Lorentz平面R~(1，1)到经典实半单Lie群的调和映照的具体构造，并给出其显式表示；其次研究了复流形到对称空间的多重调和映照及球空间S~n中Willmore曲面，将这些映照所满足的几何条件转化为可积系统，然后利用可积系统理论分别给出复流形到对称空间的多重调和映照与S~n中Willmore曲面的构造；最后利用Mōbius几何的理论给出S~(n+1)中具有三个不同主曲率且Mōbius形式为零的超曲面的分类。

In recent years,medial average has still not been introduced in Sports statistics,which is used as a textbook in institutes of P.E. On the basis of analyzing the nature of medial average ,the author proposes that medial average is commonly got using average rates in sports researches because of its features and laws. Since medial average is gained by reciprocal of its observation value,a quick method of arithmetical average might be medial average equals to...

对近年来未把调和均数列入体育院校《体育统计学》通用教材提出了不同的看法，认为根据体育运动的特点与规律，在体育科研中，利用速率计算均值的情况较多，由于调和均数是应用其变数值的倒数来计算算术平均数，所以在加权正确的情况下，调和均数与算术均数计算结果相等，是算术均数的简捷计算方法，应该向学生介绍调和均数并列入教材。

If theharmonic index is finite,then each end may be represented by a non-constant positiveharmonic function,and these functions compose a partition of unity.For minimalhypersurfaces with finite total scalar curvature,we can explicitly estimate the harmonicindex.Moreover,the space of bounded harmonic functions are exactly generated bythose functions associated to each end.This gives geometric interpretations of the ends.

若调和指标有限，则每个端均可由一非常值的调和函数代表，它们形成了一个单位分解，对于全纯量曲率有限的极小超曲面，我们明确地估计了调和指标，进一步，有界调和函数正好由代表端的那些调和函数所生成，这就给出了端的几何解释。

Color Harmonies: Monochrome, Analogous, Dominance of Hue, Triadic,Complementary, Split and Double Complement

色彩调和：无色系调和，类似色调和，色相调和，三色调和，互补色调和，四色调和

If Pentium 4 used to be the master of all games built on Quake3 engine, now the situation has changed completely.

如果奔腾4使用的是掌握所有游戏建立在求苛刻的发动机，现在的情况已完全改变。

No, this is not what we mean by framing, although the principle is the same.

不，这不是我们所讲的框架的含义，尽管法则是一样的。