空间性

Green function defined inphase space differs from one in coordinate space by its struc-ture which exhibits nonlocatity in coordinates and oscillatorybehavior with respect to momenta.

在相空间中定义的Green函数不同于通常坐标空间的Green函数，在结构上显示出对坐标的高度非局域性，而对动量则显示出振荡行为。

In chapter 1, we introduce the definitions of area integral S_β and invariant g-function on unit sphere, and study their boundedness on BMO and non-isotropic Lipschitz spaces.

共分三章，第一章引进了C~n单位球面上的面积积分和不变g函数，研究它们在BMO空间以及non-isotropic Lipschitz空间上的有界性问题。

Uncertain temporal relations can be represented and reasoned by IA. IA has strong expressive ability in tense, and it can represent all natural temporal relations. At the same time, temporal relation represented by IA is highly visual and comprehensive. In additional, IA has been extended from one-dimension temporal area to two-dimension spatial area, that is to say, interval algebra can be developed to rectangle algebra for two-dimension reasoning.

用区间代数能表示不确定的时态关系，可以很方便地用于时态推理，表达能力强；时态关系的区间表示比较直观，可理解性强；同时区间代数可以进一步扩展到二维空间领域，即将区间代数拓展为矩阵代数，实现二维空间推理。

From this study, the characteristics and the data/model space of the inverse problem of backscatter ionograms are investigated.

对反演问题的数据空间和模型空间以及反演问题的性态进行了较细致的研究。

Three counter-examples of topological space are proposed in this study: There are two metric spaces, X and Y, in which and are isometric, whileand are not isometric; Non-metric tight regular space is a counter-example of the separation of topological space; No non-zero continuous linear functionals of the linear topological space is a counter-example of linear topological space.

这里给出三个反例，存在两个度量空间X与Y，使X^2与Y^2等距而X与Y并不等距是拓扑空间中的反例；存在不可度量化的紧的完全正规空间是拓扑空间分离性的反例；不存在非零连续线性泛函的线性拓扑空间是线性拓扑空间的反例。

Adopting generalized Jordan block and algebra equivalence transform method, all of the transfer functions at different load points can be transformed to state-space description with time variable. The steady robustness of three different mode of control systems were researched by mathematic analysis. It shows that: for the high order inertia controlled object with the characteristic of nonlinear and time-variable that described by the set of transfer functions, the Luenberger function observer established according to its any algebra equivalence state-space description, if some conditions can be met, there would be a matrix of T with n′n satisfied the Sylvester matrix equation TA- FT=GC.

采用广义约当块及代数等价变换方法，可将分段的传递函数描述转换为变参数的状态空间描述，对3种典型控制系统的稳定鲁棒性所进行的理论研究表明，对同一组传递函数描述的具有非线性和时变特性的高阶惯性受控对象，依据其任一代数等价的状态空间描述所构建的Luenberger函数观测器，在满足一定的条件时，存在n′n解阵T满足Sylvester矩阵方程TA- FT=GC。

According to the projection space, line and plane can be divided into upward-traveling and downward-traveling. The concepts of near axial-terminal and far axial-terminal to the straight line projection is introduced. The rule of the visibility of line and plane intersection is deduced.

将直线和平面按其在投影空间的位置，分为上行和下行两类，对直线的投影引入近轴端和远轴端的概念，有助于对线面相交空间位置的理解，而且使直线与平面相交可见性的规律更加清晰和直观。

A three solutions theorem of nonlinear operator equation in Hilbert space was given by Sun Jing-xian in 1983,in this paper,the theorem was expanded to general Banach space by using gradient method ,and some conditions was weakened,such as the local Lipschitz condition s transformation to the bounded character of F and so on.

依据H ilbert空间中非线性算子方程的一个三解定理，本文运用最速下降法将这个定理推广到了一般的Banach空间，并且减弱了原定理的某些条件，如将局部Lipschitz条件减弱为F的有界性等

Fuzzy Choquet integral is defined for the given nonnegative measurable function on the general fuzzy measurable space. The fuzzy integral is wholly regarded as a set function on the general fuzzy measurable space. And its some elementary properties and convergence are discussed.

在一般模糊测度空间上，针对给定的非负可测函数定义了λ-模糊Choquet积分，并将这种模糊积分整体看作一般模糊测度空间上的集函数，进而讨论了这种模糊积分的一些基本性质和收敛性。

If the production of the two particles alters the topology and metric of the space, producing a lengthening wormhole between them as they separate, for instance, then the effects from one to the other may be quite local.

如果两个粒子的生成使空间的拓扑与量度发生了改变的话，例如，若两个粒子分离时在二者之间形成了一个不断伸长的虫洞的话，那么（在这个被重新量度了的空间中看来）这两个粒子之间的作用就有可能是完全局域性的了。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。