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In terms of obesity rate, the U.S. population is not far off from the overweight population model in this study.

按照目前世界上最强大的国家目前的人口肥胖率，研究中的超重人口模型并非遥不成及。

Lastly,Using the extension theory of〓-algebras founded and developed by Brown-Douglas-Fillmore in 70s,inparticular,using the homotopy invariance of the extensions and the indexformule of Toeplitz operator matrices,the paper characterized the automorphismgroup of the continuous function symbol Toeplitz 〓-algebra in terms of thetopological degrees of the continuous mappings on the n-dimensional sphere.

最后，本文利用Brown-Douglas-Fillmore在七十年代建立并发展起来的C*-代数扩张理论，尤其是扩张的同伦不变性，以及Toeplitz算子矩阵的指标公式，通过球面上连续映射的拓扑度，刻划了高维球面Hardy空间上连续符号Toeplitz 〓代数的自同构群。

For a normal operator, we express its numerical range in terms of the function in its multiplication operator representation.

针对规范算子的部份，我们将数值域以乘积算子的表现函数来表示。

The transmission system has been improved in terms of previous transmission structure, which uses epicyclical train instead of the past structure in order to get high gear ratio.

本课题的传动部分，较传统的传动结构，做了一定的改进，就是改变了过去那种传动方式，通过采用行星轮系这种结构，很好的实现了较大的传动比。

In fact, it is difficult to generalize about Arabs in terms of appearance or way of life.

事实上，这是很难概括的阿拉伯人而言，外观或生活方式。

It seems only to be of possible interest in that some computation formulae are deduced in terms of the geodesic and its azimuth.

可能关心的，看来只是某些公式是用大地线及其方位角来推导的。

In terms of geographic location, however, the impact is significant in the high income villages.

地理位置影响着相关农区经济的发展，尤其是对收入较高的农区的影响十分明显。

In terms of raising theoretical reference, techniques of cross breeding ,selection of new cultivars in Gerbera jamesonii have been preliminary studied .

本文在花器发育、授粉生物学、杂交技术、优良品系选育等方面进行了一些研究，同时进行了部分性状分离变异规律的初探，以期为杂交育种工作提供参考。

Starting in terms of plural method, this paper points out the limitations of rational methods, and take an analysis on the significance of non-rational method. It introduces the 'trial and error method' of Popper, the 'radiative thinking' of Kuhn, the 'Gestalt psychology' of Wittgenstein and some other methods in science innovation.

本文从多元方法论的角度入手，指出理性方法的局限性，并对科学研究中非理性方法的重要性做了分析，重点介绍了波普尔的"试错法"、库恩的"发散式思维"和维特根斯坦的"格式塔心理学"及其他在科学创新中使用的非理性方法。

On one hand, visual art comes from nature, such as Giotto in the early period of the Renaissance; on the other hand, the characteristics of visual art are independent from the nature in terms of the factors and self-determination of painting.

我所认为的视觉艺术，它的特点在于一方面它来源于自然，比如说文艺复兴前期的乔托，另一方面，在绘画的因素、绘画的自主方面又大大独立于自然。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。