几何的

In this thesis, we study the boundary control problems for the thin shell with a middle surface of any shape by applying Riemannian geometry method.

本文应用Riemann几何方法研究中面为任意形状的薄壳的边界控制问题，在可验证的几何条件下得到边界反馈镇定与能观测性不等式，共分七章。

Base on the theoretical investigation, the calculation and simulation system forthe cutting adjustment parameters of the chamfering machine is developed accordingto the mathematical reverse solvement model.

根据这个结论，本文分析了不同的倒角形式下，齿轮倒角机刀具调整参数和倒角几何参数之间的关系，推导出根据倒角几何参数求解倒角机刀具调整参数的数学算法。

In general, the major results are:(1) Established the geometrical model for the enwinding of the wire rope in the roller, such as the inclination of the wire rope and the climbing equation of roller in the commutation process;(2) Established the tensile force kinetic model for the enwinding wire rope used the Lagrange kinetic equation and the continual kinetic theory in the start up and retard moment. Solved the equations by the method of modal analysis and separation of variables(3) Based on the analysis on the enwinding mechanism of the wire rope, we did the research on the mechanics behavior of the wire ropes enwinding process.(4) According to the research above, we made the computer program to solve the mechanics models. And after parametric analysis, we made the suggestion for the improving of the current wire rope enwinding system.

主要研究工作有：(1)建立了钢丝绳在滚筒缠绕几何模型，研究了钢丝绳缠绕过程极限偏角及换向过程在滚筒爬坡机理及几何模型；(2)依据LAGRANGE系统广义动力学方程、连续体动力学理论分别建立起升系统启动及制动过程钢丝绳缠绕快绳拉力的动力学模型，并分别采用模态分析法及分离变量法求解；(3)结合对钢丝绳在钻机滚筒缠绕机理分析的基础上，研究了钢丝绳在滚筒缠绕过程力学行为；(4)编制计算机仿真程序对上述模型进行求解，在参数分析的基础上提出对目前钢丝绳缠绕系统结构改进建议。

This article first explains the content and the theoretical basis of the Geometers Sketchpad and the integration of geometry teaching, and then analyzed the feasibility and the advantages of the Geometers Sketchpad integrating with teaching, and then put forward what principles and measures should be noted in the integration of teaching, and finally gave some specific cases.

本文首先针对几何画板与平面几何整合教学的内涵和理论基础进行分析，接着分析了几何画板整合教学的可行性及其优势，然后针对整合教学提出应注意的原则及措施，最后对整合教学给出了具体案例。

Computing the geometric relationship among geometric invariants is a direct application of these techniques.

几何不变量之间的几何关系的计算是这些技术的一个具体应用。

These block operators matrix methods not only make proofclearer, but also give us more information about geometrical structures of generalizedBott-Duffin inverses of operators.

这种从算子几何结构出发的证明不仅使证明过程更加清晰，还能使我们更加清楚的获得算子广义Bott-Duffin逆的几何结构。

The display information is represented by triangles of faces and polylines of edges, organized in the hierarchy of assembly, part, face, line segment and point. Geometry information is appended onto the display information to provide precise definition of geometric elements for inquiry.

显示信息记录面的三角化模型和边的多边形模型，以加快模型的浏览速度，且按装配、零件、面、线、点层次关系进行组织；几何数据附加在显示信息上，提供几何数据的精确查询。

However, some problems turned out to be difficult or impossible to solve by these means alone, and ingenious constructions using parabolas and other curves, as well as mechanical devices, were found.

已经Pythagoreans审议的作用，数字几何。然而，发现不可长，这违背他们的哲学观点，使他们放弃号码赞成几何量，如长度和面积的数字。

The distribution, host and geometric shape feature of vein-bearing fault structural belts, auriferous quartz and gold orebodies in gold orefield, ore-control regularity of Xiao qinling gold deposit are briefly discussed.

本文简要叙述了小秦岭金矿田内含脉断裂带、含金石英脉和金矿体的分布和赋存特征及其几何形态特征，探讨了形成机理，提出用统计分析、趋势分析和自相似性分析为一体的累集式几何解析原理进行深部预测找矿；同时在仔细观察、分析的基础上，总结了小秦岭金矿控矿规律。

Applied quantum chemistry calculating method and a series of calculating program, ground state energies of Cu-O four bonds which was periodical structure unit of CuO〓 plane, were calculated.

应用量子化学ABINTIO计算法，采用系列程序，分别计算了Cu-O单键、线形Cu-O双键，以及Bi系超导体CuO〓面的周期性结构单元Cu-O四键，在不同的几何构型下的基态能量，并计算了相应于CuO〓面的Cu-O四键在平衡几何构型下的一系列激发态能量。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。