数的几何

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。

In Chapter 4, the pricing of Asian geometric average option under stochastic interest rates is studied, assuming CIR model for the interest rates. Asian option is strongly dependent with path, usually have a long duration, the movement of interest rates becomes more important in pricing such long-dated options. The CIR interest rate model not only considered the interest rate behavior has mean-reverting but also take into account that the fluctuation rate is direct proportion with the square root of its interest rate. Finally, the method of finite difference for the Asian geometric average option under CIR interest rate model is given.

第四章在利率满足CIR利率模型的假设下，研究了几何亚式期权的定价公式，亚式期权是强路经依赖性期权，通常有效期较长，在进行较长时期的投资时，利率的变化是非常重要的，CIR利率模型不仅考虑了利率行为具有均数回归的现象，而且还考虑其波动性的大小与利率大小的平方根成正比，最后给出了CIR利率模型下的几何亚式期权定价的有限差分法。

The essay is about the teaching research into the relations between the definition geometrize nature and circular cone , in which the teaching research of definition mainly uncovers the nature of circular cone;geometry nature about how to lead the students to understand the geometry nature of circular cone with equations in the thought of figures and shape.

其中定义的教学探究主要是揭示圆锥曲线的本质特征，几何性质的教学探究主要引导学生从方程的角度，用数形结合的思想去理解圆锥曲线的几何性质。

When the reflected light returned from the original way and disturbed the incident ray, the reflectivity could not be tested easily and it was solved by using the method of double-ray testing.

结果表明，该镜头的猫眼效应绝对反射率最高可达35.87%，并且与焦距正比，与F数和入射角成反比；近场时的几何发散角与焦距和F数成反比。

However when the cases with LCL=0 occur, plotting values beneath the LCL is impossible given the non-negative nature of units such type of lower control limit has no ability to detect rate increase. In fact,situation with a LCL is not uncommon. In this paper we propose the g-type chart with asymmetric control limits.

但几何控制图经常会出现下限LCL为零的情况，而由于检测产品数的非负性，当LCL为零时，几何控制图就不会出现报警，因而此时对检测p的增加几乎是没有效果的。

In order todiscuss the structure of operator algebra, in recent years, many scholars have focusedon linear maps and various multiplieative maps on opcrator algebras, and studied thealgebraic and geomrtrial properties and the problem of classification of these mapsMany deep and intercepting results have been achieved, and many new ideals and meanswas introduced.

为了进一步探讨算子代数的结构，近年来国内外许多学者对算子代数上的线性映射和各种可乘映射进行了系统研究，探讨这些映射的代数和几何性质以及刻画分类问题，取得丰富成果并不断提出新的思路和方法。

The density of bone mineral substance and femoral geometry size and polar moment of inertia and torsional section modulus and rectangular moment of intertia and rectangular section modulus and biomechanics capabilities were determined.

连续给药90 d后处死大鼠，测定股骨的几何尺寸、极惯性矩、抗扭截面模数、截面惯性矩、抗弯截面模数、骨矿密度和股骨的生物力学试验。

In rotor's cooling duct of large turbo generators, the configuration parameters of sub slot, the number of winding's cooling ducts and center distance of them, and the diameter of slot wedge directly affect the flow and heat transfer characteristics of air in duct.

大型空冷汽轮发电机转子通风道中，副槽的几何形状、径向通风沟的条数及间距、槽楔出风口直径等几何量，直接影响风道内空气的流动及传热特征。

However,there have been no papers which have investigated Minkowski and Minkowski slant helices and Minkowski conical geodesic curves so far as.In this paper,our major study is to give the definition of Minkowski general helix and Minkowski slant helices and Minkowski conical geodesic curves in indicators 1 in pseudo-Euclidean three-space (that is, three-dimensional Minkowski space), and study the definition of equivalence Minkowski general helix, By considering geometric invariants of these space curves, we can estimate the order of contact with those special curves for general space curves.

本篇文章主要研究在指标数为1的3维伪欧氏空间(即三维Minkowski空间)中，我们给出Minkowski一般螺线、Minkowski斜螺线和Minkowski锥面测地线的定义，研究Minkowski一般螺线的等价定义，给出Minkowski斜螺线和Minkowski锥面测地线作为三维Minkowski空间中的特殊曲线所特有的性质，并通过考虑三维Minkowski空间曲线的几何不变量，估计Minkowski斜螺线和Minkowski锥面测地线这两种特殊曲线和一般Minkowski空间曲线切触的阶数。

To obtain more uniform temperature distribution and relative lowest temperature over cross section of the rotor, on the basis of test data of a given example of a 150MW turbo generator with air coolant, numerical solution of two dimensional modelling equations of air turbulent flow and heat transfer in and between cooling duct and rotor were carried by the Finite Volume Method at condition of varying configuration parameters of sub slot, the number of winding's cooling ducts and center distance of them, and the diameter of slot wedge.

为了能够得到转子截面较均匀并且最高温度值较低的优化温度分布，文中在150MW空冷汽轮发电机转子实验研究基础上，改变副槽的几何形状、径向通风沟的条数及间距、槽楔出风口直径等几何量，采用有限体积法求解转子本体及通风道内空气的传热及紊流流动等二维离散方程组。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。