查询词典 odd dimensional space

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

Construct the three-dimensional manifold element covering hexahedron, provide cover displacement function, strain matrix, stiffness matrix and stress matrix of the three-dimensional manifold element by the previous research work.

6在前人研究的基础上，构造了六面体有限覆盖的三维流形单元，推导了三维流形单元覆盖位移函数、应变矩阵、刚度矩阵、荷载矩阵等表达式。

It can get the three-dimensional profile of the object surface effectively. Because of the cragginess of the three-dimensional surface when sine grating is projected the image of the sine grating is modulated and the modulated image is taken by a CCD camera with an angel compared to projecting direction. After the phase shift measuring method, the phase is gotten. Because the phase is calculated by the phase shift measuring ranges from –π to +π it isn't continuous. The phase unwrapping is necessary to recover the continuous phase about the object shape.

这种方法采用结构光照明，将正弦光栅图像投影到被测物体表面，用与投影方向成一定角度的CCD摄像机获取受物体表面面形调制的变形光栅像，根据数字相移算法计算出相位分布，由于从相移计算的相位被截断在反三角函数的主值范围内，因而是不连续的，必须通过相位展开恢复出连续相位分布，由相位－高度关系最终求出物体轮廓的三维数据信息。

A three-dimensional anisotropic etch rate distribution of Si can be described by two-dimensional etch rate distribu-tions in a series of crystal planes.

硅各向异性腐蚀速率三维分布可由一系列晶面上的二维腐蚀速率分布表示。

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。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。