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Association with complex function in this study, mathematical thought in this phase inspires the later integer theory of analytic function.

通过与复变函数关联度的考察，强调了这一阶段蕴含的数学思想对后来整体解析函数理论具有一定的思想启发力。5。

Base on the principle of analytic geometry, the mathematical model of the intersected pipe s is established in this paper, and the curve of intersection is worked out by numerical analysis.

利用解析几何的原理建立了两管及多管相交问题的数学模型，通过数值分析方法求得了相贯线的几何形状。

According to spatial analytic geometry,the mathematical model of intersecting of pipe and cone was established.

利用空间解析几何的原理建立了管锥相贯数学模型，用参量方程描述了管端相贯线焊接坡口的几何形状，该数学模型可应用于三轴联动火焰数控切管机。

It is just for the above reasons, statistical theory and simulated mathematical models, such as fuzzy mathematics, grey system theory, analytic hierarchy process, set pair analysis as well as the remote-sensing technology of geographic information systems are more and more emphasized so as to heighten the scientific value of such assessments.

综述了最近几年环境评价中应用较广或新出现的综合评价方法及其在环境评价中的应用，重点介绍了模糊数学方法、灰色系统理论、层次分析法和集对分析等数学模型评价方法，以及地理信息系统技术的原理和有关应用。

An analytical coupled water-energy balance equation at arbitrary time acale was derived by dimension analysis and mathematical derivation.

本文通过量纲分析和数学推导得到能用于任意时间尺度上的水热耦合平衡方程，该方程含有唯一参数。

An analytical coupled water-energy balance equation at arbitrary time acale was derived by dimension analysis and mathematical derivation. The equation has only one parameter.

本文通过量纲分析和数学推导得到能用于任意时间尺度上的水热耦合平衡方程，该方程含有唯一参数。

The effect of the inlet parameters of air, air mass flow rate and spray water rate on the performance of closed cooling tower is discussed in the paper. A mathematical model for evaluating heat and mass transfer performance of closed cooling tower is set up. The analytical solution of differential equations is derived.

目的 分析闭式冷却塔内各参数，即空气焓值、含湿量、冷却水温等的分布情况；探讨空气入口参数、空气质量流量、喷淋水量对闭式冷却塔冷却性能的影响规律。

It is an important step of the transition for Chinese mathematicians to study and to use the translations of western mathematical textbooks on calculus, analytical geometry, algebra, and probability, such as DWJ, Wei Ji Su Yuan, Jue Yi Shu Xue.

研究晚清中算家对微积分的学习情况、理解程度以及应用能力，无疑对于研究中国数学的近代化历程具有十分重要的意义。

By observing and analyzing 3D structure of apple flower and inflorescence, we raised the 3D structure mathematical model of anthocaulus, receptacle, calyx, petal, androecium and pistil. At the same time, we get model parameter, integrate the apple flower and inflorescence topology structure information, reconstructed 3D structure of apple flower and inflorescence.

通过对苹果花及花序形态结构的观测分析，分别提出了描述花柄、花托、花萼、花瓣、雄蕊和雌蕊三维形态结构的数学模型，并提取了模型的控制参数；进一步整合苹果花及花序的拓扑结构信息，实现了苹果花及花序的三维重建。

Firstly, mathematical models for describing the 3D structure of anthocaulus, receptacle, calyx, petal, androecium and pistil are proposed basing on observing and analyzing the 3D structure of apple flower and inflorescence. At the same time, parameters for controlling these models are extracted. Secondly, the reconstruction of 3D structure of apple flower and inflorescence is implemented by integrating its topological structure information.

通过对苹果花及花序形态结构的观测分析，分别提出了描述花柄、花托、花萼、花瓣、雄蕊和雌蕊三维形态结构的数学模型，并提取了模型的控制参数；进一步整合苹果花及花序的拓扑结构信息，实现了苹果花及花序的三维重建。

I can still vividly recall the impressive scenes you gave. You were among my friends and relatives who accompanied me from my house to the seaport and when the porters were slow to show up, you obligingly carried my suitcase for me.

你对我的种种感人情意，使我记忆犹新，那天你随着我的亲友从家里送我上轮船，搬运工迟迟不来，你毅然替我提着皮箱上船。

St. Nicholas became the patron saint of Russia, where he was famous for his red cape, flowing white beard, and bishop's mitre.

圣尼古拉成了俄罗斯人的守护神，在那里，他以身披红斗篷，留着飘逸的白胡须，戴着主教法冠而闻名。