极重要的

In dual Brunn-Minkowski theory, we study the properties of the dual harmonic quer-massintegrals systematically and establish some inequalities for the dual harmonic quer-massintegrals, such as the Minkowski inequality, the Brunn-Minkowski inequality, the Blaschke-Santalo inequality and the Bieberbach inequality. We establish the dual Brunn-Minkowski inequality for dual affine quermassintegrals. Recently we learned that Gardner have independently proved it by a different method. The polar body of a convex body is an important object in the context of convex geometry. Hence, after we studied the intersection bodies, it is natural to consider the inequalities for their polar bodies.

在对偶Brunn-Minkowski理论中，我们引入了对偶调和均质积分概念，系统的研究了它的性质，并建立对偶调和均质积分的Brunn-Minkowski不等式，Blaschke-Santalo型不等式和Bieberbach不等式；接着我们建立了对偶仿射均质积分的对偶Brunn-Minkowski不等式，最近我们得知这个不等式被Gardner用另外的方式证明；凸体的极体是凸几何中一个重要概(来源：2525ABf8C论文网www.abclunwen.com)念，既然相交体和投影体有对偶关系，因此在研究完投影体的极体之后自然要研究相交体的极体。

The minimal surface have been extensively employed in many areas such as architecture, material science, aviation, ship manufacture, biology and crystallogeny and so on. In this paper we have some element works on minimal surface from the point view of CAGD It is well-known that there does not exist any other quadratic minimal surface except for the plane.

以肥皂膜问题为物理背景的极小曲面问题或者Plateau问题—寻找以给定空间曲线为边界的面积极小的曲面，从18世纪提出到现在一直是微分几何和偏微分方程理论的重要课题，微分几何领域已经有了极其丰富的极小曲面理论。

The result not only enriched the theory of minimal surface in differential geometry, but also enhanced the application of minimal surfaces in CAD systems.

本研究不仅丰富了微分几何中的极小曲面理论，对极小曲面在CAD系统中的应用也有重要意义。

As the beginning of this thesis, the important meanings of sea ice to global climate change and ocean engineering in polar and subpolar sea regions are explained firstly. Then, it is pointed out that sea ice numerical modelling, as a powerful tool of sea ice research, is limited by the precision of parameters within models instead of itself so far. It is meaningful to study the important parameters of sea ice dynamics by means of the rapidly developing digital imaging techniques so as to provide better input parameters needed in numerical models.

文中首先阐述了海冰对全球气候变化和极区、亚极区海域海洋工程问题的重要性，并指出作为海冰研究重要手段之一的海冰数值模拟发展到目前，其准确性更加受到海冰参数而非模式本身的限制，因此以目前快速发展的数字图像技术为工具对海冰动力学过程中的重要参数进行研究，以提供数值模式所需要的高精度和准确性的数据，是非常有必要的。

The leading mode of the oceanic surface current anomaly displays an oceanic gyre that is determined by the wind stress anomalies through Ekman relation, while the interdecadal variability in the upper ocean circulation is characterized by changes of the strength of the subtropical and subpolar gyres which lags the wind stress curl anomaly by 5 years.

对印度洋偶极子事件演变特征的合成分析显示，大气异常引起的海洋热容量异常传播在偶极子事件建立和消亡过程中具有重要作用，且这一过程可以独立于ENSO存在：ENSO对偶极子事件的海温变化具有一定的影响。

Reduction to the pole has played a key role in the interpretation of magnetic anomalies. In order to overcome the unstableness of RTP at low magnetic latitude, there are varieties of methods of RTP.

化极转换是磁异常解释的重要基础，为了克服在地磁纬度较低的地区尤其是磁赤道附近化极不稳定的问题，出现了多种化极方法。

Spine1 structural materials are very important functional materials including dielectric, magnetic, sensitive, luminescent and superconductive materials.

尖晶石结构材料是新型功能材料的重要组成，在介电、磁性、敏感、发光、超导等功能材料中占据重要地位，并极具应用潜力。

Tian Yali grade of paper-cut works of art of deep, some experts have called "China's Picasso," she accomplished a very high cultural studies of loess, folk folk culture is an important part of her life.

田亚莉的剪纸作品艺术品位极深，有专家称其为&中国的毕加索&，她对黄土文化研究造诣极高，民间民俗文化是她生命的重要部分。

ABSTRACT The research of metal transfer in metal gas arc welding is of great significance for the control of arc welding process and quality, the improvement of existing welding technology and the development of new welding equipment. With the powerful aid of welding arc spectrum which contains plenty of information of metal droplet transfer, this dissertation, which mainly aims at putting forward an effective detecting method with arc spectrum signal, has inspected the spectrum of metal gas welding arc and discovered their dynamic characteristics of each kind droplet transfer mode.

熔化极气体保护焊熔滴过渡的研究，对于焊接过程及质量控制、焊接工艺方法的改进和新型焊接设备的推出都具有重要意义，而熔化极气体保护焊电弧光谱中含有丰富的反映熔滴过渡的信息。

New observables which can be used to estimate the fraction of the anisotropicemission particles to all the final state particles and the degree of concentrationaround the flow direction are proposed to characterize the flow.

末态粒子的极角分布宽度是描述流效果的一个重要参量，只有综合考虑流角，流值和极角分布这三种因素，才能正确反映集合侧向流的整体特征。

We are in a real jam.

我们的麻烦大了。

Hey, it's Ahmet from India, that foreign exchange guy.

看，那是印度的阿曼特，国际交换生