可调和的

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 other is the difference of the original wind and the harmonic part, which is the solution of Poisson equation with homogeneous boundary condition and can be expanded into double Fourierism cosine series.

第一部分是Laplace方程在给定边界条件下的解，由于Laplace方程的解是调和函数，这个部分可称为调和部分，又因为其与区域内部值无关，也称外部部分。

As known, using the porential theory Green's tormulae and the fundamental solutions wecan reduce the harmonic and biharmonic elliptic boundary value problems to integral equationson the boundary.

我们熟知，利用位势理论或由Green公式及基本解出发区域内调和及重调和边值问题可归化为边界上的积分方程。

Yano about the harmonic and Killing vector fields in Compact orientable Riemannian spaces with boundary by means of Stokes' and Green's theorem.

Yano 关于具有边界的可定向黎曼流形上的调和和Killing向量场的结果加以推广，显然这个方法也可应用到调和张量场和Killing张量场的情形，这将在另文讨论。

In Chapter 6, by using the matrix models of 3-dimensional Minkowski space R〓, first we study deformation properties and integrablilities on spacelike surfaces with a harmonic inverse mean curvature and timelike surfaces with a Lorentz harmonic inverse mean curvature.

在第六章中，首先借助三维Minkowski空间R〓的矩阵模型，研究了R〓中具有调和逆平均曲率的类空曲面和洛伦兹调和逆平均曲率类时曲面的可积性及其形变。

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。

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。

PET recycling in the photographic film industry; recycling of PET containers; recycling post-consumer; greenhouse polyethylene films by blending with polyamide; recycling of plastics from urban solid wastes; technical and economic management of plastics wastes; blends of polyethylene and plastics waste; techniques for sorting and recycling post-consumer plastics bottles; hydrolytic treatment of plastics wastes containing paper; technologies for processing mixed plastics wastes; use of recyclable plastics in motor vehicles; ground tier rubber polymer composites; and quality assurance in plastics recycling.

塑料的再循环プラスチックのがまた循環します在照相胶卷工业里的宠物再循环；宠物集装箱的再循环；再循环消费者后；通过用polyamide调和的温室聚乙烯电影；来自都市的固体废物的塑料制品的再循环；塑料制品的技术和经济管理浪费；聚乙烯和塑料制品的混合物浪费；分类和再循环消费者后塑料瓶子的技术； hydrolytic 处理塑料制品浪费包含纸；为处理混合的塑料制品的技术浪费；使用在机动车里的可再造的塑料制品；地排橡胶聚合物混合物；以及用塑料再循环的质量保证。

In the conduct of rites of the annual cycle or of the inauguration of a temple or a tomb it is also a mediation from earth to heaven and between the living and the dead, involving journeys outward and upward to points where the two realms are close, visualised internally in the architecture of a house, or a temple or a palace, or in the inner crucible of the body and the space just above the head, or externally as mountains.

年度仪式或者寺庙、墓碑的落成典礼也是天地之间、生死之间的调和，这种调和涉及处于两极的事物向外向上运动至他们的接近点，在视觉上可表现为房屋、寺庙、宫殿等建筑的内部，或者身体内腔及头顶上的小块空间，再或者山脉。

Finally, the influence of permanent tide is recalculated using the same precise development of TGP. This work can be taken as a theoretical reference for the research of highprecision space geodesy and astrogeodynamics. tide-generating potential ; station displacements ; spectrum method ; Love/Shida number

最初的Love数和Shida数是由静态球形地球的潮汐模拟理论推求的，由于地球是旋转椭球形的天体，地球形变对引潮力位的响应存在着不同调和函数的微小混合，这样Love数和Shida数就与测站纬度和TGP的调和级次有关，纬度特性可通过引入一组常数来表示，最初的结果由Wahr

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。