超曲面

最后从几何角度讨论了用于分类的前馈神经网络VC维的问题，尤其是利用超曲面排列针对非线性神经网络的VC维进行了探讨。

; especially , the VC dimension of nonlinear neural network is discussed with the hypersurface arrangement .

当Mp~m是Eq~n的超曲面时，H就是经典的Gauss映射。

When M_p ~ m is the hypersurface of E_q ~ n , H is just the classic Gauss map .

CAD超曲面重构技术研究及其应用

Research and Application of the Hyper-Surface Reconstructed Technology in CAD

双曲空间H￣3中广义全拟脐超曲面也是全测地的。

The generalized totally quasi-umbilical submanifold in hyperbolic spaces in also totally geodesic .

关于可容纳n重正交极小超曲面系统的黎曼空间Vn

On the riemannian spaces Vn which admit an n-tuply orthogonal system of minimal hypersurfaces

关于C~n中实超曲面之间的光滑CR同胚

On Smooth CR Homeomorphisms between Real Hypersurfaces in C ~ n

超曲面上具有非光滑密度之测度的Fourier变换

Fourier transforms of Measures with Non - Smooth Densities Carried on Hypersurface

4维DeSitterSpace中的特殊Ⅲ型等参超曲面

4-D special isoparametric hypersurfaces of type ⅲ in De Sitter Space

关于类空W超曲面的一个存在性定理

An existent theorem on spacelike Weingarten hypersurface

静态AdS时空中的常平均曲率类空超曲面

Space-Like Hypersurfaces with Constant Mean Curvature in Static AdS Space-Times

4维反DeSitter空间H1~4中的有限型旋转超曲面

Rotation Hypersurfaces of Finite Type In 4-Dimensional Anti-de Sitter Space

容有Killing向量场的Riemannian流形的超曲面

The Hypersurfaces of Riemannian Manifold of Admitting Killing Vector Field

本文在无先念条件下，证明了Chen〔1〕关于2型超曲面的一个定理。

A Chen ′ s Theorem about spherical 2 type hypersurfaces is proved without any other conditions .

文章研究在诱导度量的超曲面的孤立奇点（x，o）的局部度量性质。

This article investigates the local metric properties of an isolated hypersurface singularity ( X , o ) with the induced metric .

常曲率空间Einstein超曲面

Einstein Hypersurfaces in a space of constant curvature

度假真是其乐无穷。C~2中三次刚性超曲面的无穷小CR自同构

What bliss to be going on holiday . On Real-analytic Infinitesimal CR Automorphisms of the Rigid Cubic Hypersurfaces in C ~ 2

Einstein流形及其全脐超曲面

Einstein Manifolds and Totally Umbilical Hypersurfaces

局部对称Lorentz空间中具有常平均曲率的完备类空超曲面

Complete space-like hypersurfaces with constant mean curvature in locally symmetric Lorentz spaces

关于复超曲面上具正数量曲率之Riemann度量的存在性

The Existence of Riemann Metric with Positive Scalar Curvature over Complex Hypersurface

Hopf流形的全脐实超曲面

Totally umbilical real hypersurfaces of a Hopf manifold

球面上极小超曲面的Laplacian谱特征

Spectral Characterization of the Laplacian on Minimal Hypersurfaces in a Sphere

球面中常平均曲率超曲面的整体Pinching定理

Global Pinching Theorem for Hypersurfaces with Constant Mean Curvature in Sphere

局部对称Lorentz空间中的类空超曲面

Space-like Hypersurfaces in Locally Symmetric Lorentz Spaces

证明了Cn中有限型实超曲面到另一个实超曲面的每一个光滑CR同胚必定是CR微分同胚。

Every smooth CR homeomorphism from a real hypersurface of finite type to a real hypersurface in C ~ n is a CR diffeomorphism .

常曲率和拟常曲率Riemann流形中的常平均曲率超曲面

Hypersurfaces with Constant Mean Curvature in a Riemann Manifold with Constant Curvature and with Quasi Constant Curvature

二次超曲面的Steiner定理

Steiner Theorem of Quadric-Hypersurface

Anti-DeSitter空间中紧致类空超曲面的积分公式

Integral Formula for Compact Space-like Hypersurfaces in Anti-de Sitter Space

设Mn是Hn+p（-1）中具有常标准数量曲率的n维完备子流形，本文证明了这种完备子流形的某些内蕴刚性定理和分类定理，并对超曲面的情形进行了研究。

This paper investigates n-dimensional complete submanifolds with constant normalized scalar curvature in the hyperbolic space , and obtains some intrinsic rigidity theorems and classification theorems of the submanifolds as well as hypersurfaces .

单位球中MoebiusRicci曲率平行且Moebius形式消失的超曲面

Hypersurfaces with Parallel Moebius Ricci Curvature and Vanishing Moebius Form in the Unit Sphere

本文研究了有限域F~q上几类超曲面Fq&有理点的个数，并对其中某些超曲面，计算出他们的zeta函数。

In this paper , we studied the number of F_q-rational points for several hypersurface over finite filed F_q , and obtained Zeta functions for some of the hypersurface mentioned above .