查询词典 differential geometry

The crystal structures have been determined by single-crystal X-ray diffraction.Cadmium atoms in compounds 1 and 2 show an eight-coordinated distorted square-antiprismatic geometry and a seven-coordinated distorted pentagonal bipyramidal geometryrespectively. Copper atoms in compounds 3 and 4 show a six-coordinated distorted threeprismatic geometry and a four-coordinated distorted tetrahedral geometry respectively.

所有配合物的晶体结构都通过单晶X-射线衍射确定：配合物1中的镉离子周围显示八配位的扭曲四方反棱柱构型；而配合物2中的镉离子周围显示七配位的扭曲五角双锥构型；配合物3中的铜离子周围显示六配位的扭曲三棱柱构型；配合物4中的铜离子周围显示四配位的扭曲四面体构型；配合物5中的锌离子周围显示六配位的扭曲八面体构型。

Using the principle of Projectiv e geometry and Analytic geometry,we have intact analysed about the cut and hand in line of taper and Geometry proved the form produced by the special-position -leve and the general-position-level.

利用射影几何和解析几何的原理对圆锥截交线进行了完整的分析，对特殊位置截平面与一般位置截平面产生的截交线的形状进行了几何证明，为截交线的形状判别与绘制提供了理论依据。

Possible speed means that in the good climatic and traffic condition, the automobile is only influenced by the geometry line shape of the highway; the driver with skilled technology drives the travel speed that the automobile may reach while going along certain highway.Possible speed is decided by geometry line shape of the road mainly, its change can reflect the change state of the line shape of the road, and the geometry line shape of the road play a very important role to emergence of the traffic accident, so the change of the possible speed can reflect the security state of the road.

可能速度主要由道路的几何线形决定，它的变化可以反映道路线形的变化状况，而道路的几何线形条件对交通事故的发生起着举足轻重的作用，因此可能速度的变化情况能够直观的体现道路的安全状况。

Based on the framework of wheat morphology visualization, the 3D geometric modeling technologies of wheat organs were investigated, and the organ geometrical models were developed with characteristic architecture parameters. The model included three submodels: leaf geometry, stem geometry and wheat spike geometry submodels.

本研究以小麦作物为对象，在提出小麦形态可视化技术框架的基础上，首先研究了小麦不同器官的三维几何建模技术，构建了基于器官形态特征参数的几何模型，包括叶、茎秆和麦穗几何模型。

Using the two-stream fluid model, the linear dispersion relation is derived assuming a two-dimensional spatial geometry. Two cases are considered, one is that the 2D spatial geometry is defined by the plane containing the two counterstreaming electron populations and the perturbation wave vector , and the other is that the geometry is defined by the plane being vertical to the two counterstreaming electron populations .

对高能束流和电子回流构成的双流系统，建立冷等离子体流体模型，采用简正模分析方法，分别考虑扰动波矢在平行于电流传播方向的平面上和在垂直于电流传播方向的平面上这两种情况，推导了不稳定性的色散关系。

One has its origin in algebraic geometry, whereas the other one comes from differential geometry.

借助于它们上面的Hermitian度量我们可以定义两个模空间：一个联系着代数几何；一个联系着微分几何。

In classical differential geometry are important in the theory and application of guidance, in integral geometry, computer-aided geometric design and other fields also have a wide range of applications.

在经典微分几何中的有重要的理论指导和应用，在积分几何、计算机辅助几何设计等领域也有着广泛的应用。

Remarkable is that this more than a century ago almost directly with the achievement of modern mathematics, the following methods, the general flow is concepts, algebra to geometry closely linked, he and his successors -- Beiertelami, Christopher Tuofeier, Lee Puxici developed differential Zhang volume analysis has gradually become more research on the flow geometry and analysis of an important tool.

令人赞叹的是，这一个多世纪前的成就几乎直接同现代数学中的拓扑方法、一般流形概念、代数几何学等紧密相连，他和他的接班人——贝尔特拉米、克里斯托费尔、李普希茨所发展的微分张量分析逐渐成为研究流形上几何结构和分析的一个重要工具。

It is embodied in the three research programs of modern physics:(1) According to the program of geometrization of physics, the essence of the Curved Space in gravitational field needs to be explicated by Riemannian geometry, differential geometry, tensor analysis;(2)According to the program of quantum field theory, the generation and annihilation operator can represen...

它分别体现在现代物理学的三大研究纲领中：(1)根据物理学的几何化纲领，引力场弯曲空间的奥秘需要通过黎曼几何、微分几何与张量分析来解读；(2)根据量子场论纲领，场理论的"产生和湮灭"算符，能方便而精确地表征和重构相关的微观作用机制；"场的本体论"和"生成辩证法"同时得到体现。

Establish geometry model of hyperboloid clutch with rollers with differential geometry. We know that the line of tangent is beeline and validate it with Matlab.

利用微分几何相关知识建立了内外环的双曲面等距曲面及滚柱的几何模型，求解出其接触线为直线并用MATLAB进行了理论验证。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。