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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 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 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。

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。

With the development of linear operator hypercyclic theory, We get some equivalent conditions about weighted sequence, on which weighted shift operator in l~2 and l~2 become hypercyclic.

随着线性算子超循环性理论的发展,对于空间l~2和l~2中的加权移位超循环算子已经得到了许多利用加权序列所作的等价刻画。

In addition, the "superstring theory" project, there should also be room for another six dimensions of humanity,"should be a 10-dimensional universe" is based on the argument of a string theory, the scientists calculated by mathematical equations Conclusions.

除此之外,"超弦理论"预测还应该存在另外六个人类未知的空间维度,"宇宙应该是十维的"是根据一种超弦理论的论证,科学家通过数学方程计算得出的结论。

The Langmuir Blodgett technique was employed to modify the PVC liquid membrane, the LB film of trioctylcetyl ammonium chloroauric acid was deposited on the surface of PVC liquid membrane, and the gold selective electrode with such modification has been fabricated.

1引百 LB膜技术〔''是近年来超分子组装化学中应用最多和相对最成功的分子装配技术,因能较好地在许多固体表面按设计方式组装空间有序的超分子体系,特别是其器件研制最基本的实验手段之一卿,由于LB膜修饰层有序,高密,超薄,能从根本上改进电极体系及其反应过程的性质和行为

A 3D SPIHT algorithm is proposed to deal with the compression of hyperspectral images, In order to eliminate the intraband and interband dependencies, 3D discrete wavelet transform is used to decorrelate the hyperspectral images.

提出一种针对超光谱图像压缩的3维SPIHT编码算法。通过对超光谱图像进行3维小波变换,同时去除像素数据间的空间冗余和谱间冗余。

This *** is titled "Relationship between Pre-Tertiary unconformity and hydrocarbon migration-accumulation in Jizhong depression". Unconformity can be divided into five types in Jizhong depression: truncation unconformity, fault-fold unconformity, parallel unconformity, truncation-onlap unconformity and fault-onlap unconformity by massive two-dimensional and three-dimasional seismic interpretations . Different types of unconformity have different distribution law.

本论文以&冀中坳陷前第三系不整合与油气运聚关系&为题,通过大量的二维和三维地震解释,把研究区不整合分为削截不整合、断褶不整合、平行不整合、削截-超覆不整合和断层-超覆不整合等五种类型,不同类型的不整合在空间上具有不同分布规律。

A smooth approximation algorithm is then proposed based on hinge-finding algorithm via curved faces approximated to the hinging hyperplanes model, which can obtain a smooth approximation result and hold some good properties of hinge-finding algorithm such as simplicity and effectiveness.

本文对找链接算法做了两点改进,其一是扩充了链接超平面模型,在二维空间上弥补了链接超平面模型表示能力不足这一弱点。仿真实验显示使用扩充后的模型得到了更好的分片线性逼近结果。另一点改进是使用双曲光滑函数构造出了基于找链接算法的光滑逼近算法。理论分析证明了算法的可行性。仿真实验验证了理论分析。

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