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After analysing the existing smooth orientation interpolation methods we proposed a smooth orientaion interpolation method based on cubic cardinal spline in quaternion space. This method possesses the following advantages: interpolation, C〓 continuity, accurate evaluation of the quaternion value at arbitrary parameter, transparent to the users, adjustable parameters for controlling the velocity of orientation change.

在分析现有的朝向光滑插值方法基础上，提出了基于四元数空间三次C样条的朝向光滑插值方法，该方法具有插值、C〓连续、任一参数处的四元数值可精确求得、对用户透明、可以用参数调节关键帧处物体朝向变化的速度等优点。

It was also observed that the rougher asperities damaged gradually by shearing and wearing in small region and the surface in contact increases with the increasing of normal stress and shear displacement.

因此，对任一条不规则的节理粗糙线，可以通过非平稳部分的正倾角或负倾角和平稳部分的平均粗糙角的结合来定量描述其表面粗糙度。

Therefore, it is critical for any goodwill impairment analysis that the valuation firm has a thorough knowledge of tangible and intangbible asset valuation methodology, and purchase price allocation.

所以， 它是重要的为任一信誉损伤分析，估价企业有有形和intangbible 财产估价方法学详尽的知识，并且购买价分派。

For five years, I have utilized my skills and knowledge as the Assistant Director of Exports for Magic Kitchen Supplies.

过去五年来，我用我的专业知识和技能，担任神奇厨具用品公司的外销部副主任一职。

For five years,I have utilized my skills and knowledge as the Assistant Director of Exports for Magic Kitchen Supplies.

过去五年来，我用我的专业知识和技巧，担任神奇厨具用品公司的外销部副主任一职。

Hence the associated surface of minimum genus can be got by doing a sequence of exchangers on some associated surface.

通过对任一关联曲面作一系列调位，从而可得最小亏格的关联曲面，此亏格即为所求图类的最小亏格。

Choose one of the following topics to explore issues that will provide cultural and sociological background for the literature of the Augustan Golden Age.

选择以下任一主题中的各类议题加以探讨，替奥古斯都黄金时期的文学提供文化及社会背景。

Regarding the second issue, I will compare the semantic meanings of various autonyms used by all major subgroups who are generally referred under the Chinese transliteration "苗族" in China and the English transliteration "Hmong" outside China. Neither the Chinese "苗族" nor the English "Hmong" has been a perfect transliteration of any subgroup autonym of the Hmong People proper, in spite of the fact that both of them partially reflect some semantic meanings of these autonyms.

关于第二个问题，我将对中国"苗族"这个汉文通称转写形式下和境外"Hmong"这个英文通称转写形式下所包涵的各个不同方言支系自称及其语义作一个比较分析：尽管这两种外来语言对苗族的统称转写形式，多多少少也可能与一些苗族支系自称的语义有着某种联系，但是，其实无论是用"苗族"还是用"Hmong"作为统称转写形式，对任一苗族自称形式而言，都不是理想的表达。

The fuzzy set theory is a rapidly growing branch of applied mathematics whereas the Boolean-valued model is a nonstandard model of the axiomatic set theory.

在文献[1]中我们曾引进正规弗晰集合结构的概念，这种正规弗晰集合结构是对弗晰集合论的一种本质的刻划与推广；在文献[1]中还证明了任一正规弗晰集合结构都是带本元的集合论公理系统ZFa的一个布尔值模型。

The program developed with the formula enable the coordinates for points and the parametric formula for curves in the orthographic projection to be transferred into ones in the axonometric projection, which can be directly displayed on the screen. In addition, except for assigned different values to elastic coefficient of the axial direction and the angles of the axes, it is generally adapted in drawing any of the axonometric projections.

用它编程，可以把正投影中点的坐标或曲线的参数方程，转换成屏幕上能够直接显示点的轴测投影的坐标或曲线的轴测投影的参数方程，而且除了赋轴向伸缩系数和轴间角的大小、正负不同的参数值外，对绘任一种轴测投影和相应正投影都具有通用性。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。