超空间的

We posed the concept of sufficient intersection about s(1≤s≤n) algebraic hypersurfaces in n-dimensional space and proved the dimension of polynomial space Pm(which denotes the space of all multivariate polynomials of total degree≤m) on the algebraic manifold S=s(f1,…, fs) where f1(X=0,…, f s=0denote s algebraic hypersurfaces of sufficient intersection, then gave a convenient expression for dimension calculation by using the backw ard difference operator.

给出了n维空间中s(1≤s≤n)个代数超曲面充分相交的概念，证明了n元m次多项式空间Pm在充分相交的代数流形S=s(f1，…， fs)（f1=0，…， fs=0表示s个代数超曲面）上的维数，并利用倒差分算子给出一个方便计算的表达式；构造了沿代数流形上插值适定结点组的叠加插值法；证明了在充分相交的代数流形上任意次插值适定结点组的存在性；给出代数流形上插值适定结点组的性质和判定条件。

With respect to phonetics, Distinctive Features for the phonetic syncopation of spatial information are extracted based on Bertin's retinal variables. The importance of geographic reality, cognitive laws and geometric laws in the syncopation is pointed out following the thorough inspection of the physical characteristics of spatial information and a phonetic hierarchy of phoneme、 phoneme combination is proposed after the summarization of different methods of syncopation in Psychology, Pattern Recognition, Mathematic Morphology and Cartography, which provides linguistic interpretation for cartographic symbol design and understanding. With respect to the property that map symbol is represented as the combination of attribute and geometry in digital form of spatial information, suprasegmental phoneme as unit is proposed which deals with the high level phonetic units and their structure with the bend of curve and the simple area of complex area as primitive.

在语音结构方面，基于Bertin的视觉变量，提取了产生空间信息语音切分的区别特征；对空间信息的物理特征进行了详尽分析，指出了地理真实、认知规律和几何规律在语音切分中的重要作用；在总结心理学、模式识别、数学形态学和地图学等相关切分理论的基础上，提出了空间信息音位系统以及音位组合规律，为地图符号设计与理解提供了语言学解释；针对地图符号通常在空间信息中表现为属性和形态相结合的特点，提出在超音段音位层次上重点关注以线切分单元——弯曲和复杂面切分单元——弯曲构成的简单面为基本元素的语音高级层次及其结构。

The quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using hypergeometric equation, hypergeometric function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用超几何方程、超几何函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

The resarch studies the space-like hypersurfaces with constant square of length of second fundamental form in locally symmetric Lorentz spaces, Some sufficient conditions for the hypersurfaces to be totally umbilical are obtained.

研究局部对称Lorentz空间中第二基本形式模长平方是常数的类空超曲面，获得了这类超曲面是全脐的若干充分条件。

Firstly, the distance between stocks are calculated by using prices of stocks, and subdominant ultra-metric space by associating the minimum spanning tree of portfolio. Secondly, the subdominant ultra-metric space to the chart of index hierarchical structure is transformed, and finally the distribution of style is gained. Using sample of Shanghai Stock 50 Index from 2004 to 2007, the demonstration result shows that style of industry is more prominent horizontally, especially in the bank and steel industries. The style of region and cross holding also exists. And after the reform of non-tradable shares, style of industry becomes more obvious vertically and more other styles also occur.

首先利用股票价格计算出股间距离，并采用关联该证券组合的最小生成树优化方法，从而得到亚超度量空间；其次将此亚超度量空间转换成指数分层结构树图，最后得到风格的分布特征。2004~2007年的上证50实证结果表明：横向来看以行业分类的风格较为显著，其中以银行和钢铁也最为明显，此外还有与地区差异、交叉持股相关的风格效应显现；纵向则在股改后行业风格效应更显著，其它的风格也显现得更多。

Moreover, if M~n is strongly stable and has finite total curvature, then M~n is an affine n-plane.

第二，我们研究了欧氏空间R~(n+1)和双曲空间H~(n+1)(-1)中具有常平均曲率H及有限L~p范数曲率的完备超曲面。

Through analysis of spatial relationship and morphological characteristics of Jinchuan ultrabasic rockbody,it is realized that the Jinchuan ultrabasic rockbody is divided into two parts and three concentrative segments.

通过对超基性岩体空间关系、形态特征的分析，认为：金川超基性岩体分为东、西两段和东、中、西三个成矿富集块段。

The LiF thermoluminescent detector arrays were used to measure the spatial distribution in 4π space of ejected hot electron and hard x-ray emission from ultrashort laser-solid target interaction for the first time.

首次使用LiF：热释光探测器阵列进行了超短脉冲激光与固体靶相互作用中发射的超热电子和硬X射线的全空间（4π立体角）分布测量。

Theoretical and experimental research on removing characteristics of ultraprecise bonnet polishing methods are made to get an ultra-smooth surface for optical elements.

为得到空间光学元件超光滑表面，对超精密气囊抛光方法的去除特性进行了理论和实验研究。

The state space of a piecewise linear system can be divided into several linear regions separated with hyperplanes. And the system with multiple nonlinearities can be analysed by the state space method.

根据分段线性系统的概念，可以将状态空间分成多个线性区域，各线性子空间通过超平面互相衔接，这样就可以用状态空间法来对这种具有多个非线性的系统进行分析。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。