半径的

In order to determine the fractal dimension of the interface, structures with different rotation radii are set in the transition region. By using above regulation, the number of surface molecules of each rotation structure with certain radius can be obtained, then correlate these molecule numbers with the corresponding radii, in a logarithmic coordinate system the asymptotic slope of the correlated curve is the fractal dimension of the liquid-vapor interface.

为了确定界面的分形维数，在气液过渡区中作出不同回转半径的结构，利用（2～5）/1.2r〓规则找出其中所包含的气液界面上的分子数，然后将这些分子数与回转半径关联，在双对数坐标中此关联曲线的渐近斜率便是气液界面的分形维数。

Quantum dots are a kind of semiconductor nanopaticles with the radius equal to or less than the exciton Bohr radius. They have tremendous potential in the field of biology and medicine because of their unique and tunable optical properties (broad excitation spectrum, narrow emission spectrum, precise tunability of their emission peak and negligible bleaching, etc) as new fluoresent probes.

量子点是半径小于或接近于激子玻尔半径的一类半导体纳米晶，作为一种新型的荧光标记物，其独特和可调谐的光学特性（宽的激发光谱、窄的发射光谱、可精确调谐的发射波长以及可忽略的光漂白等）使其在生物和医学方面显示出巨大的应用潜力。

Firstly , the following proofs are made by means of homothet-ic transformation : 1 the centre of a nine-point circle is at the midpoint of ligature of its curcumcentre andorthocentre; 2 the radius of nine-point circle is equal to half of the radius of its curcumcircle.

本文给出一个简单的证法，先用位似变换的方法证明九点圆的圆心在外心和垂心连线段的中点，九点圆的半径等于外接圆半径的一半。

The said Martinez stretcher comprises concave spherical reflecting lens, plane reflecting lens and grating. The said compressor comprises plane reflecting lens, inner right angle reflecting lens and grating, which is characterized by the following: the grating fringe density of the stretcher is larger than that of the compressor.

所述的马丁内兹展宽器由凹球面反射镜、平面反射镜和光栅组成；所述的压缩器由平面反射镜、内直角形反射镜和光栅组成，其特征在于，展宽器的光栅条纹密度大于压缩器的光栅条纹密度；展宽器中的凹球面反射镜曲率半径位0.9～1.2米，光栅距凹球面反射镜的位置为凹球面反射镜曲率半径的1/3～1/2。

In this paper, we mainly study the spectrum of simple connected graphs and the the double cyclic graph, achieving some new results.

本文中我们主要考虑一般简单连通图的谱半径的可达上界，以及双圈图的树图的谱半径的界，并得到一些新的结论。

In chapter 3,we prove that a complete noncompact n-dimensional Riemannian manifold M whose Ricci curvature Ric_M ≥(n- 1) has finite topological type or diffeomorphic to R~n if its Excess function has some upper bound at a point.

第三章，我们证明了对于Ricci曲率Ric_M≥-(n-1)的完备非紧n维Riemann流形M，若它的共轭半径有正的下界且共轭半径的某个函数为M在某一点的Excess的上界时，它就有有限拓扑型或者微分同胚于n维欧几里德空间。

The relation of the surface shape error to f-number and relevant spherical radius was achieved according to the reducing analysis model ignoring the local f-number. Two kinds of rhombic prism model are established by ZEMAX. According to the simulation results from ZEMAX, the correctness and limitation of the former methods are proved and analyzed. The results are used to analyze the effect of the surface shape error of the rhombic prism on parallelism of the emergent beam. The assignation plan of the surface shape error for each working surface is presented.

根据忽略局部光圈数的简化分析模型，获得面形误差对应光圈数与相关球面半径的关系，通过几何处理方法，求得一定面形误差对应的球面半径与平面倾角的关系，将斜方棱镜的工作面倾斜一定角度，运用折射定理，将具体面形误差转化为相应平面的倾斜角度，得到出射光相对于理想光轴的倾斜角度及其关系式，并在ZEMAX中建立斜方棱镜的两种模型。

To solve the problem of transversal turnover of the paddy field boat during the cultivation operation, combining the method of theoretical calculation with paddy field test, the kinetic and dynamic characteristics were analyzed and the mathematical model was established according to movement stability in this paper.

为了解决机滚船犁耕作业转弯时的横向倾翻问题，采用理论计算与水田试验相结合的方法，通过对机滚船犁耕作业时的运动学和动力学分析，从稳定性角度出发，建立数学模型。经过分析和计算，求出了机滚船犁耕作业时最小转弯半径的关系表达式，将其运用到1BG-0.9型带铧式犁机滚船上，计算出了该机滚船的最小转弯半径。

This paper analyses the coupling wastage in columniform wave guide gas laser,and gives the function between the coupling wastage of laser guide modulo EH11 and the position and radius of reflector.

分析了圆柱形波导气体激光器中的耦合损耗，给出了最低阶波导模EH11的耦合损耗与反射镜位置、曲率半径的函数关系。研究表明：反射镜的位置和半径存在着最佳值，在取得最佳值时，可得到最低的耦合损耗

This created a certain amount of "industrial pole" effect, this "industrial pole" is divided by the radius of the population ecology and population ecology radius is the size of the population divided by the number of service industries service space distance and ecological costs.

这种情况造成了一定程度的&产业极&的效果，这种&工业极点&是除以半径的种群生态学和种群生态学半径的大小，人口除以服务行业的服务空间距离和生态代价。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。