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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

"And the team was actually walking through a kind of hyperspace dimension," Lang finished in a rush."Yes, of course, I remember now."

"而小组当时正是穿越了某种超空间的次元,"朗匆忙的总结道:"是,当然了,我记起来了。"

What happened, of course, was that when the starship reached the threshold of light speed, it also reached that boundary between "normal" space and hyperspace.

当然,所发生的情况是,在飞船的速度接近于光速时,那也就到达了"正常的"空间和超空间的交接之处。

Upon exiting hyperspace an unknown technology was used to decelerate the starship.

在脱离超空间的时候,一项未知的技术用于给飞船减速。

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

It is an interdimensional energy, and so it often will come through a wall or floor– a huge iridescent interdimensional ball that is eight meters wide.

它是超空间的能量,也因此它是经常穿过一面墙壁或者地板-公尺宽的一个极大的彩虹色的超越时空的光球。

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。

The research point of 'Folding makes trans-space' is to do a forward-looking practice for spatiality of tomorrow city.

"折叠平面产生超空间"的研究的基点是为未来城市的空间形态做出前瞻性的实践。

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。

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