研究几何学

Several representations of numerical simulation, such as induced curvature, the conditions of first—type limit, second—type limit and singular solution, are presented under continuous and differential conditions. A new system of numerical simulation, which is relative as well as independent to traditional theory, is established.

利用现代微分几何学的活动标架方法对共轭曲面的数学仿真原理进行了深入研究，给出连续可微条件下，共轭条件、一、二类界限条件，奇解点条件及诱导曲率的仿真描述，建立了与传统理论既相联系又相互独立的数字仿真原理新体系。

Ah specifically, the angle of the sphere and the relationship side of spherical geometry, spherical trigonometry is a part, mainly in the processing, discovery and interpretation of polygons on the spherical surface contact angle and the edge and relevance.

具体一点啊研究球面上的角与边的关系球面三角学是球面几何学的一部分，主要在处理、发现和解释多边形在球面上的角与边的联系和关联。

The paper studies the application of spherical geometry to the field of 3D geometric constraint solution and presents a geometric constraint solution method,called spherical solution method .

研究了球面几何学在三维几何约束求解中的应用，提出了球面求解法。

The question arises: What is the purpose of the study and application of geometry to swordsmanship ?

问题出现了：在剑术中几何学研究和应用的目的意图是什么？

On the basis of geometrical research,a new method that draws sufficiently with assistant vanishing point s is provided.

通过对量点法中灭点远超出图板的难点进行分析，从几何学角度研究，在30o~60o量点法的基础上，提出一种利用辅助灭点扩大对象表现区域的新方法。

Combining the fluid mechanics in porous medium and the geometry, the author considers the artificial barrier as a filter cake, research on the vadose rule on the condition of the coercibility and the non-Newtonian fluid flow, establish the formula of artificial barrier pressure drop and thickness, probe the formula of the thickness of artificial barrier for the pressure in the fracture,the coercibility, the smallest stress of barrier and the rheological property of fracturing fluid.

结合渗流力学和几何学，将人工隔层视为滤饼，在对人工隔层中渗流规律的研究中考虑了流体的非牛顿性和人工隔层的可压缩性，建立隔离层压降与厚度之间的关系式，探索人工隔层厚度与缝内压力、人工隔层可压缩性、上下隔层最小主应力、压裂液流变性等之间的关系。

Through anthropological and historical study of calculation in England, India he has lead researches on dance, mathematics, crossing e most advanced theories of computation, geometry and cotemporary dance technique creating a conversing axis the East-West.

通过在英格兰和印度关于运算的考古和历史研究，他已经在舞蹈和数学领域引领了跨最先进的计算机理论、几何学和当代舞蹈技巧理论，创造了东西方之间的对话轴心。

J. Gibson (Michotte 1963; Gibson 1986). Empirical studies deriving from the former involve the direct perception of the rich properties constitutive of causation. Those following on the latter concern the direct perception of humanly relevant functional properties of the environment (physical-geometric features may be given directly as hiding places or escape routes, for example), as well as intentional and mentalistic properties.

起于前者的经验研究包含对因果的构成性的丰富属性的直接感知，后者得到了对环境（——例如逃跑路线的物理-几何学特征的直接给予）的相关人的功能属性的直接感知，同样还有意向性特征和精神性特征。

Through simulation of the real process of thomcolumbar burst fracture and use of modem dynamics techniques, the present study was (1) to investigate the kinetic relationship between structural damage and impact energy absorption and dynamics mechanism of thoracolumbar burst fracture by quantitative analysis of various injured segments;(2) to explore the instability mechanism of L1 vertebral burst fracture and its injury threshold by three-dimensional analysis of the injured segment with stereophotogrammetry in combination of transient physical parameters, anatomy and image;(3) to explore the corresponding relationships between impact energy, geometry parameters and biomechanics by geometry and biomechanical analysis of thoracolumbar burst fracture, which may provide an objective standard for evaluation of spinal injury severity and experimental evidence for adoption of biomechanical treatment in clinic;(4) to evaluate the fixation effect of different instruments and the effect of intervertebral bone graft on segment fixation by analysis of the threedimensional stability of different internal fixation instruments and their decompression of the spinal canal, which may provide experimental evidence for therapeutical selection for thoracolumbar burst fracture in future; and finally to investigate the effect of various instrument fixation on dynamical characteristics by comparison and quantitative analysis of frequency and amplitude responses, which may provide certain theories and experimental evidence for application of vibration test to judge the stability of the spine.

本研究从胸腰段脊柱爆裂骨折发生的实际过程出发，以现代动力学检测及计算机多通道高性能数据采集分析系统等高新技术为基础，实时量化分析损伤节段的工程参数，揭示了结构破坏与能量吸收的变化规律，探讨了胸腰段脊柱爆裂骨折的瞬态损伤机制；利用三维立体摄像技术，对不同损伤程度的节段进行三维运动分析，结合瞬态物理参数、影像学和病理解剖，明确了〓椎体爆裂骨折的失稳机制及损伤阈值；通过对胸腰椎爆裂骨折的几何学变化及生物力学分析，明确了撞击能量与几何参数、几何参数与生物力学的相应关系，为评判脊柱损伤程度提供了客观标准，为治疗中采取适宜的生物力学方法提供了实验依据；通过对比分析不同内固定器械的三维稳定性和对椎管的减压作用，评价不同器械的复位固定作用，同时比较椎体间植骨对节段固定作用的影响，为今后临床胸腰段脊柱爆裂骨折的治疗选择提供依据；利用振动测试与分析技术，比较及量化分析了不同致伤状况的频幅响应特征，比较分析了各种器械固定对动力学特性的影响，为今后临床建立基于振动测试与分析技术判断脊柱稳定性的诊断方法，提供了一定的理论和实验依据。

Similarly, Wiske (1990) concluded from her study of high school teachers who used Geometric Supposer that teachers need a deep and wide knowledge of their subject matter and a clear understanding of the process of building mathematical understanding to use the software effectively.

同样地， Wiske(1990)从她的中学老师老师需要建筑数学的理解有效地使用软件的他们的主题物质和程序的清楚理解的深和广泛知识二手的几何学的 Supposer 的研究总结。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。