超空间

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。

In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.

在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。

The dissertation presents a number of methods and theory involving in diffraction integral, Fourier transform, directly solving differential wave equation, vector analysis, which can be used to study ultrashort pulsed beams propagating in free space, linear dispersive

现将本论文所得主要结论总结如下：基于瑞利—索末菲衍射积分、角谱法和复解析信号法，推导出了等束腰宽度超短脉冲高斯光束在自由空间的严格的传输方程和傅里叶谱，适用于几个光周期甚至一个光周期以下的超短脉冲光束和大衍射角情形，而不产生空间奇异

These pulses include a Gaussian pulse, a hyperbolic secant pulse, a Lorentzian pulse, a Poisson spectrum pulse, a asymmetrical hyperbolic secant pulse, a rectangular pulse, a chirped Gaussian pulse and a chirped super-Gaussian pulse.

本论文基于上述提及的基本概念、分析方法和衍射积分理论，以描述超短脉冲光束的数学物理模型(包括超短脉冲高斯光束、超短脉冲贝塞耳—高斯光束、超短脉冲拉盖尔—高斯光束和超短啁啾脉冲光束等)为主要研究对象，研究超短脉冲光束在自由空间、色散介质和通过光阑的传输特性和位相奇点附近的光谱异常行为。

Some properties of inversions are proved, It indicates that the inversion is conformal, the image of line of curvature is still the line of curvature of the inversion S of the hypersurface S, the principal curvature, the total curvature, and mean curvature of S are the functions...

在n-1维超曲面的反图变换中，示明反图变换为保角表示法，曲率线系的反影仍为反超曲面的曲率线系，反超曲面的主曲率，全曲率与平均曲率为原超曲面的主曲率的函数等。 3。最后导出公式(1)在四维空间与通常空间之特殊形式

On this basis, it deeply analyzesed the spatial geometry structure of hyper spectral data lattice distribution, concluded that high\|dimensional space of remote sensing hyper spectral data belong to low\|dimensional geometry structure \|"hyperplane" shape, and anomaly point group which includes alteration information usually dissociates out the "hyperplane".

在此基础上，对高光谱数据点阵分布的空间几何结构进行了深入的研究分析，推断出遥感高光谱数据集合的高维空间属于低维几何结构"超平面"形态，而包含蚀变信息在内的异常点群通常会游离在"超平面"之外。

Based on the array signal processing and the eigenstructure decomposition method, the signal subspace and the noise subspace are achieved by reconstructing and decomposing the data matrix collected by the array sensors. By using the orthogonal properties of the two subspaces, the information about the velocities and bearings of spatial moving targets can be exactly obtained.

本文提出一种超分辨的二维谱估计方法，它利用的是阵列处理技术，对天线接收数据进行本征分析，将信号数据张成一个空间并对其进行分解，根据正交原理分割成信号子空间和噪声子空间，构造出噪声本征矢量，利用信号子空间与噪声子空间的正交性，在空间谱上形成极值点，从而达到对方向和速度的二维高分辨率估计。

For example, U-space is uniformly regular and which makes it has fixed point property, U-space is uniformly non-square and thus super-reflexive, uniformly convex space and uniformly smooth space are U-spaces, and an Banach space is an U-space iff its dual space is U-space, etc. In1990s, a lot of work had been done on U-space theory, e.g., Tingfu Wang and Donghai Ji introduced the concepts of pre U-property and nearly U-property. Under the structure of Orlicz space, they made systematic investigation of these properties, and gave the criteria for an Orlicz space to have U-property.

U-空间具有一致正规结构进而具有不动点性质；U-空间是一致非方的，进而也是超自反的；一致凸空间和一致光滑空间是U-空间；Banach 空间为U-空间的充要条件是其对偶空间为U-空间，等等。20世纪90年代，国内外学者对U-空间理论做了很多工作，王廷辅，计东海等人先后引入了准U-性质与似U-性质的概念，并在Orlicz空间框架下对有关性质进行了系统研究，完整给出了Orlicz空间具有各种U-性质的判据。

Superfluid helium is an excellent coolant for infrared detectors which need temperature down to K. HeII phase separator is a crucial part of an infrared cryogenic system at zero-gravity. By using the fountain effect, it keeps the liquid phase separated from the vapor phase.

外太空科学探测系统需要4K以下制冷系统的支持，超流氦是在此温度区间的一种理想冷却剂，超流氦空间制冷系统的关键部件超流氦相分离器是利用超流氦的超流特性和热机械效应实现气液相分离的。

Based on the study of K1 qn 1 source rock development and hydrocarbon-expulsion characteristics, overpressure and its distributing characteristicss, T2 source fault and its distributing characteristics of Fu-Yang oil layer in Sanzhao depression, the match of source rock, overpressure and fault and its controlling effects on hydrocarbon accumulation and distribution have been studied.

在综合研究三肇凹陷青一段源岩发育及排烃特征、超压及分布特征和T2源断裂及分布特征源岩、超压和断裂空间匹配关系对油成藏与分布控制作用的基础上：认为青一段源岩和其内超压空间匹配控制着三肇凹陷扶杨油层油成藏分布范围，超压和T2源断裂配置控制着扶杨油层油聚集深度和层位，超压和T2源断裂平面配置控制着扶杨油层油聚集的部位。

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。