查询词典 odd dimensional space

In Chapter 3, by using the technique of finite dimensional approximation of Seiberg-Wittentheory, the equivariant K-theory and some other methods, we study the problem of topologicalrestriction when there are smooth groups acting on Spin 4-manifolds such as the alternatinggroup A_5, cyclic group Z_6 and symmetric group S_3 with actions of odd type, consequently weimprove Furutas 10/8 theorem under the condition of group actions.

第三章运用Seiberg-Witten理论的有限维逼近技巧和等变K-理论等工具，研究了Spin 4-流形X上分别存在光滑交错群A_5、循环群Z_6和奇型三阶对称群S_3作用时，X的拓扑限制问题，在群作用下改进了Furuta的10／8定理。

Linear Algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old Euclid Geometry. The concept of "Linear Space" is a kind of algebraic abstract. In many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined.

线性代数主要是研究有限维线性空间及其线性变换这一代数结构的学科，而线性概念究其根源则是来自古老的Euclid几何，线性空间概念是几何空间的一种代数抽象，在现代工程技术的许多领域里，由于计算机及图形显示的强大威力，几何问题的代数化处理，代数问题的可视化处理，把代数与几何更加紧密地结合在一起。

By means of uniting geometry with algebra, the arc length, tangent line, cotangent space and curvature of curve in four dimensional space are investigated, and the corresponding calculation formula in each cases are given.

用形数结合的观点研究了四维空间中曲线的弧长、切线、法空间和曲率问题，并给出了其计算公式。

According to the limited space the end of all surface sampling points in 3D space within the Cartesian coordinates, then be converted into computer on the screen coordinates of the pixel, thus drawn with a real sense of three-dimensional images.

根据有限空间中底面上所有采样点在三维笛卡儿空间内的坐标，然后将其转换为计算机屏幕上的像素点的坐标，从而绘制出具有真实立体感的图像。

Simple lines interweave in a two-dimensional world to produce illusory space, and combine with frames of different shapes and various cubical space.

单纯的直线在平面中交织出幻化的空间，与不同形态具有多样立体空间的画框相结合，以一种极单纯的手段呈现出无限可能的复杂空间，流露出画家纯净的心性和睿智。

This paper disserts the represent form of space data model, and discusses three dimensional space data model based on the grid, and points out the integrated necessariness and integrated represent method about the grid-vector spatial data model, and provids a Euclidean distance converting model and algorithm with regard to change from vector data to grid data, as well as establishes the foundation for spatial data handing and spatial data mining.

文章论述了空间数据模型的表示形式，重点讨论了基于栅格的三维空间数据模型，指出了栅格矢量空间数据模型集成化的必要性以及集成化表示方法，给出了将矢量数据转换为栅格数据的欧氏距离变换与算法，为基于栅格空间数据的空间数据处理和空间数据挖掘奠定了基础。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

The space- like Wilson loops are obtained with both 〓 gaugegroup and the full SU(2) gauge group. A frozen point of 〓 in 3- dimensional space,β= 9.4, is observed.

在计算类空Wilson圈时，既使用了〓分立群也用了完整的SU(2)，证实〓在二维没有相变，而在三维有一冻结点〓。

Have cost of a space among them, if dimensional space is too large, similar fund obtains corresponding consumption without method, real money meets governable of average per capita shrink.

其中有一个空间成本，如果空间距离太大，同样的钱就没有办法取得相应的消费，人均可支配的真实财富就会缩水。

C. Dimensional promotion, here is a long ground, the safety factor that send AD is very high, can be united in wedlock stick publicize together, stick advertisement put a space, sticking hair space address, AD content still had better be mixed caption conform to, take a link of what, the question won't be very big.

c。空间推广，这里是个长久之地，发AD安全系数很高，可以结合贴吧一起宣传，把广告贴放空间，在贴吧发空间地址，AD内容最好还是和标题相符，带个链接什么的，问题不会很大。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。