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In this paper, the analytical formulations for every reflection point's Z coordinate are deduced by using Fermat's principle and law of reflection in the system of cylinder and cone.

以圆柱和圆锥二阶系统的反射寻迹为例，结合费马原理和反射定律，推导出各反射点Z坐标的解析表达式，从而减少了寻迹方程中未知数个数，使计算时间显著缩短，也提高了结果精度，文中给出了应用实例。

Recurrent formulas for calculating the coefficients of the Legendre polynomial and the expressions for calculating the sedimentation coefficient are deduced analytically.

为了研究多分散低Péclet数沉降问题，我们先以Legendre多项式展开法得到了计算对分布函数的普遍递推式，以及由Legendre多项式的系数表示的沉降积分。

Based on the ellipse spreading model proposed by Lehr, the quantitative relationship was deduced in this article, which can analyze its variation characteristics.

依据Lehr 提出的油膜椭圆扩展模型构建了油膜厚度随溢油性质和海洋环境条件变化的定量关系，剖析了溢油扩展过程中油膜厚度的变化特征。

In this system,arc length of the curve between two points is calculated by Simpson method,and then observer's position and orientation at every frame are deduced by bisection.

通过Simpson法计算两点之间曲线弧长，二分法迭代得到观察者每一帧时所处的视点和视角。

This model is very suitable for some networks configuration. Having aid of two analysis models, the explicit expression of maximal queue length is deduced.

作为更深一步的研究，论文提出了双瓶颈复杂分析模型，该种分析模型能更准确地反映某些网络配置中所发生的实际情况。

The deduced amino acid sequence showed a high identity to the reported sequences of GOBPⅠ from other lepidopteran insects, and showed that SlGOBPⅠ may belong to the family of GOBP.

SlGOBP Ⅰ氨基酸序列与鳞翅目昆虫的气味结合蛋白氨基酸序列具有较高的相似性，表明SlGOBPⅠ属于GOBP家族。

In our study,two important lepidopteron pests,beet armyworm and cotton bollworm were surveyed for their endogenous piggyBac.As a result,endogenous piggyBac elements were found in these two insects,and one of the piggyBac elements isolated from the genome of cotton bollworm was intact and thought to be potentially active.1 Clonging and sequence analysis of piggyBac from beet armywormUsing PCR technique,with degenerate primers,a DNA fragment of piggyBac-like element was cloned from the genome of beet armyworm,spodoptera exigua hubner.The DNA fragment was 456bp in length,and the deduced amino acid sequence shares 50%- 78% similarity with other piggyBac elements from insects.But one stop code was found in this DNA fragment.

由于转座子很难用常规的RT-PCR和RACE技术进行克隆鉴定，故本研究在兼并引物PCR的基础上，利用inverse PCR和vectorret PCR技术，不仅调查了鳞翅目两种重要的农业害虫甜菜夜蛾和棉铃虫的內源piggyBac存在情况，同时克隆到了內源性的piggyBac转座子，并且从棉铃虫中获得了一个结构完整、具有潜在活性的piggyBac转座子HaPLE1.1甜菜夜蛾piggyBac转座子基因的克隆与序列分析采用PCR技术，利用兼并引物，从甜菜夜蛾基因组中克隆出一个內源性piggyBac类似因子的DNA片段，并命名为SePLE。

Sequence analysis showed that the deduced protein contained a leucine zipper and a possible nuclear localization signal domain.

DNA序列分析表明，其编码产物含有一个亮氨酸拉链结构域和一个核定位信号肽。

By factoring of the likelihood function, the description of signal detection problem is achieved, and then iterative signal detection algorithm can be deduced by using sum-product algorithm.

通过对似然函数的分解，得到信号检测问题的因素图描述，在此基础上应用和积算法推导出信号检测的迭代算法。

The factor graph for joint channel estimation and signal detection is set up according to the likelihood function and iterative rule is deduced by sum-product algorithm.

通过对似然函数的分解，得到联合信道估计与信号检测问题的因素图描述，然后利用和积算法推导出算法的迭代规则。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。