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Along with the increasing dimension of the ambient space and the number of hyperplanes, the arrangements will become more and more complicated.

随着空间维数的增大,超平面个数的增加,超平面构形的结构会变得非常复杂。

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 principles of forming toroidal gear have been studied and the trajectories of the machining tools have been obtained. Then, the generating method for manufacturing of the internal toroidal gear by using the envelope method has been proposed. Further, spatial meshing profile normal theory is applied to design the profile of the proposed hobber, and the fix angles of the hobbing cutter have been confirmed.

对内超环面齿轮齿廓的形成原理进行研究,得出加工刀具的运动轨迹曲线,提出包络法加工内超环面齿轮,并采用空间啮合齿廓法线法设计刀具廓形,确定刀刃切削角度,完成基于SolidWorks的刀具体三维造型设计。

And the use of linear time-structure optimal hyperplane method of implementation in the feature space for solving the optimal hyperplane.

然后利用线性可分时构造最优超平面的方法,在特征空间中实现最优超平面的求解。

And then fuzzy least square support vector machines are proposed based on support vector domain description. Data samples in the feature space are described and the smallest enclosing hypersphere is obtained. The fuzzy membership value to each sample point is determined according to the distance of each sample from the center of the hypersphere, which can reduce the effect of outliers.

该方法先对样本进行数据域描述得到一个包含该组数据的最小半径的超球,再根据特征空间中样本与超球球心的距离确定它们的隶属度,减少了奇异点的影响;把所要求解的约束凸二次优化问题转化为正定线性方程组,并采用快速Cholesky分解的方法求解该方程组。

According to the above characteristics of shallow buried target discrimination, the hyperplane SVM, which has achieved the best classification results for many classification problems in different fields by now, has been modified to yield the FHS-SVM, which uses the hypersphere in the kernel space to separate shallow buried target and clutter.

根据浅埋目标鉴别的特点,对在许多领域的分类问题中取得迄今为止最好分类结果的超平面SVM进行了改进,得到利用核特征空间的超球面区分浅埋目标和杂波的FHS-SVM。

Firstly, sample data stream by two neighbor windows of given length. Then the sampling data is projected to normalized high dimension feature space and the two minus hypersphere models of two window sampling data sets are constructed respectively. Finally, detect change by computing cosine of inclination angle of two centrals of hypersphere.

该算法首先以给定长度的两相邻时间窗口对数据流取样,然后以支持向量数据描述方法将这两相邻时间窗口取样的数据流子集映射到规范化的高维特征空间,并分别建立描述这两相邻时间窗口取样数据流子集映像的最小超球模型,最后通过计算两超球之间的球心矢量的夹角的余弦,度量该两相邻时间窗口取样数据流子集的相似性检测模式变化。

The space-like hypersurfaces with constant scalar curvature in a de Sitter space were studied and a pinching theorem on the square of the norm of the second fundamental form was obtained.

研究de Sitter空间中具有常数量曲率的类空超曲面,将Cheng-Yau的自共轨运算元口作用在对称张量T上,得到了这类超曲面关於第二基本形式模长平方的一个拼挤定理,加强了已有的相应结果。

Abstract]This paper studies the animation industry by exploring European animation festivals panoramically from the perspective of aesthetic economy and space economy. It is found that semiotic products with great semiotic meaning are not a kind of transcendental presentation but daily reality in the aesthetic economy and space economy era. The animation industry, which is focused on cultural and creative content producing, is a rising industry in which the animation festival is not only the exhibition of traditional commodities but also a creative arena of meaning produce. The restructuring of place for European animation festivals is followed the basic requirement of aesthetic economy and space economy, since the festivals add new semiotic meaning and cultural elements to the original places.

从审美经济、空间经济的视角,以动漫节为研究对象,对欧洲动漫产业发展所形成的文化与市场景观进行一种全景式的考察后,可以发现:在审美经济的时代,以符号意义为主的符号产品不再是超验的表象,而是日常生活的实在;以文化创意内容为核心的动漫产业已经成为新兴产业;其中,作为符号生产与传统商品集中展示的动漫节,更侧重于深入开发动漫及其衍生产品的审美价值,使动漫节不仅仅流于纯粹的小商品集市,而在于创造更多的符号意义,丰富动漫节的多种内涵;动漫节举办地的地点重构适应了空间经济发展的内在要求,动漫赋予不少城镇以全新的符号内涵,创造了各种形态的地点神话,从而促进空间经济的城市发展。

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。

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