几何学上的

Liquidity and credit suddenly become scarce and a devastating, value-destroying uncertainty takes hold. In 2007 Dick Fuld, the former head of Lehman Brothers, observed that whereas credit grows arithmetically, it shrinks geometrically.

一夜之间，流动性和信用就变成稀缺资源，取而代之的是严重且破坏价值的不确定性。2007年，雷曼兄弟前首席执行官迪克·福尔德认为，尽管算术上信用在不断增长，但从几何学上来说，却是在下降。

BACKGROUND: Prosthesis selection for total hip replacement is determined by geometrical matching with femoral medullary cavity of patients and the optimal biodynamics. It is of great significance for elevating outcomes of total hip replacement.

背景：人工髋关节置换术前选择假体时，不仅要考虑在几何学上达到与患者股骨髓腔的匹配，而且还要在生物力学性能上达到最优，这对提高全髋关节置换术后疗效，具有较现实的意义。

They include the fundamental concepts of jet bundle geometry needed in describing time-dependent mechanical systems, decomposition of jet bundles into a direct sum according to the constraints, horizontal distributions on constraint mainifolds, the global formulation of D'Alembert-Lagrange's equations and Chaplygin's equations, and nonholonomic mechanics on a Riemann-Cartan manifold. Meanwhile, the geometric significance of Chetaev's conditions and $\rd$-$\delta$ commutation relation are discussed in depth.

本文主要综述非完整约束系统几何动力学的外附型和内禀型Lagrange理论，包括非定常力学系统所需要的射丛几何学的基本概念、射丛按约束的直和分解、约束流形上的水平分布、 D'Alembert-Lagrange方程与Chaplygin方程的整体描述、以及Riemann-Cartan流形上的非完整力学，文中对Chetaev条件和d-δ交换关系的几何意义作了深入讨论。

He's more conventional, tending to use later, more geometrically correct lines.

他更加保守传统，倾向于使用几何学上完美的线路。

American mathematician noted for his work on projective geometry and topology.

维布伦，奥斯瓦尔德1880－1960美国数学家，以其在射影几何学以及拓扑学上的研究而闻名

American mathematician noted for his work on projective geometry and ''.

维布伦，奥斯瓦尔德1880－1960美国数学家，以其在射影几何学以及拓扑学上的研究而闻名

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。

Finally, combining PDE with Differential Geometry, parametrically representing the surface, tensor based image processing techniques have been proposed, such as edge detection , morphological operation? implicitly representing the surface as the level-set of the higher dimensional function, the variational problems and partial differential equations that define maps onto the given generic surface have been discussed.

本文结合微分几何学，基于曲线坐标系下的微分算子将平面上的图像处理框架推广到曲面上，得到了参数化曲面上的图像处理框架，并给出了边缘检测和形态学运算的算例；在已知给定曲面的隐式表达时，探讨了定义在任意曲面上的偏微分方程，解决了任意曲面上数据场的扩散问题。

Research on cone/bit speed ratio simulation model of tri-cone bit s;2. In this paper, the kinematics simulation model of tri-cone bit s was established according to the roller cone bit geometry and kinematics.

根据钻头几何学和运动学建立起了随钻运动的三牙轮钻头的计算机运动学仿真模型，该仿真模型既表示出了钻头上各牙齿的形状、大小和在钻头上的分布情况，又可真实反映钻头钻进过程中各牙齿的瞬时位置和相互关系。

Two years ago a study of another amazonian tribe , the piraha , reported that the ability of tribal adults to conceptualise numbers is no better than that of infants or even some animals . the research suggested that without words for specific numbers , a number sense cannot develop

法国和美国的研究人员在最新一期的科学杂志上发表文章称，在亚马孙河丛林深处有一个部落群，即便他们没有用来表达几何学概念的语言也极具几何学天赋。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。