查询词典 dimensional analysis

On the other hand, Let M~n be an z-dimensional complete noncompactoriented submanifold with finite total curvature in an-dimensional simplyconnected space form F~ of constant curvature c. In this thesis, we provethat if M satisfies one of the following: n≥3, c=0 and integral from n=M H~n＜∞;n≥5, c=-1 and H＜1-2/n~(1/2); n≥3, c=1 and H is bounded, where Hdenotes the mean curvature of M. then the dimension of the space of L~2 harmonic1-forms on M is finite.

本文还证明：若具常曲率c的完备单连通空间型F~中具有有限全曲率的n维完备非紧可定向子流形M满足下面条件之一：n≥3，c=0且integral from n=M H~n＜∞；n≥5，c=-1且H＜1-2/n~(1/2；n≥3，c=1且H有界的，则M上L~2调和1-形式空间的维数是有限的，这里H为M的平均曲率。

Detail are introduced as following: transfering the LS equation to difference equation, setting the initial conditions for different shape explosive at different initiation way (point, line, plane, divergent or convergent); the dealing method of different edge conditions; how to draw the curve graph in two dimensional space or surface graph in three dimensional space with the calculated data.

本文提出了在三维直角坐标系中爆轰波传播LS方程离散化方法，建立了相应的差分方程，研究了对不同形状炸药在多种起爆形式（点、线、面、散心、聚心）下初值条件的设定，以及各种边界条件的处理方法。

Firstly, the concepts of dimensional element and dimensional element-chain are defined, and a geometric tolerancing model expressed by DE and its semantic mapping are also given. Secondly, the construction of DEC, the geometric measuring method for the calculation of error transfer coefficients of dimension-chain components and the realization of DECA are proposed.

首先定义尺素和尺素链等概念，并在此基础上建立尺寸公差的尺素表示模型及其语义映射；然后给出尺素链构造方法、计算误差传递系数的几何度量方法以及尺素链分析的实现方法。

By using the decomposability of graph, high-dimensional problem can be decomposed into some low-dimensional problems, and then we can analyze the independence relation, time sequence relation and causal relation among random variables by means of visual structure of graph.

利用图的可分解性，可将高维问题分解成低维问题，并借助图的直观结构对随机变量间复杂的独立性关系、时序关系或因果关系进行分析。

The Galerkin's method was used to truncate the infinite-dimensional partial differential equations into a set of finite-dimensional ordinary differential equations with time dependent coefficients,which can be solved with numerical methods.

对于电梯工业来说，目前世界上绝大部分电梯仍然是依靠钢丝绳提升的曳引式电梯。

The latter is essentially derived from the geometric realization of Happels triangulated equivalence between stable module category of repetitive algebra and bounded derived category of finite dimensional algebra. In terms of this realization, we deduce that the Lie algebra realized by derived category of a finite dimensional algebra is isomorphic to the Lie algebra realized by stable module category of the corresponding repetitive algebra.

后者本质上是Happel关于重复代数的稳定模范畴和导出范畴的三角等价的一个几何实现及其应用，使用这种几何实现，我们可以证明在重复代数的稳定模范畴上定义的李代数同构于相应的导出范畴上实现的李代数。

AIM: To investigate the characteristics in growth and metabolism of human dermal flbroblasts in two-dimensional and three-dimensional culture.

目的：观察人皮肤成纤维细胞在二维和三维培养系统中的生长和代谢特性。

Using planar graph to express the three-dimensional objects, or a projection map to express the three-dimensional objects, must be consistent with the projection theory of descriptive geometry.

用平面图形来表达三维立体实物，或用一个投影图来表达三维立体实物，必须符合画法几何的投影理论要求。

For example, the roll elastic deformation breaks the statically determinate condition of roll system in duo mill, and this is the main reason of bearing longevity shortening and burning accident; in aluminium foil four-high mill roll system with a 1 mm gap, the ideal position kept by a 3 mm offset is out of effect, some phenomenon such as chock horizontal vibration, gyroscopic effect and micro dimensional dynamic cross happen in fact rolling process, abnormal super and partial load resulted by these is the main reason of the end thrust bearing accident; the thermal deformation of mill roll system accompanying the temperature raising not only changes the roller track age of rolling bearing, but also results a micro dimensional slow dynamic inverse cross that counteracts the gyroscopic effect in a degree.

如二辊高刚度轧机轧辊的弹性弯曲微尺度行为，破坏了辊系机构杆系的静定条件，成为轧机轴承短寿烧损的主要根源；铝箔四辊轧机只具有1mm的有隙辊系，凭借设置3mm偏移距和轧制力平衡产生的水平力以保持轧辊理想定位失去效用，却发生轴承座水平振动现象、陀螺效应和动态交叉微尺度行为，成为止推滚动轴承异常超偏载导致短寿烧损的主要根源；轧机辊系的伴随升温产生的热变形，不仅改变了滚动轴承滚道轮廓，还引起运动副内慢变动态反交叉微尺度行为，抵消陀螺效应的部分动态交叉角度。

Following work has been done In the first part, we use the two dimensional or 2＇-state Markov modulated deterministic process to approximate the actual arrival process and then model the ATM multiplexer as an two dimensional MMDP/D/1/K or 2＇-state MMDP/D/1/K queueing system respectively.

概括如下：首先在连续时间模型下，利用二元MMDP和2＇-状态的MMDP近似实际到达过程，然后对具有有限存储器的ATM多路复用器建模。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。