嵌入

On the product of unit spheres,we give a kind of natural embeddings from the product unit spheres to the unit sphere in which the product of unit spheres can be viewed as a hypersurface.

第一个是在乘积单位球面上，我们给出自然的由乘积单位球面到高一维球面的嵌入映射，然后考虑了在乘积单位球面上预给定Gauss-Kronecker曲率后，我们所考虑的嵌入的存在性。

At the same time,according to the characteristics of human vision system,the original ima.

同时，根据人类视觉系统的特点，对原始图像进行分块处理，将加密后的水印分别以不同的强度嵌入并提取，给出了改进的嵌入提取方案。

This method uses a threshold T to choose the blocks of halftone image to imbed information,which imbeds data as many as possible under the guarantee of the quality of the halftone image.

该方法利用了阈值T来控制水印的嵌入位置，在保证图像质量的前提下，嵌入尽可能多的数据。

This finished the embedding process, and the test results show that this algorithm has certain imperceptivity and robustness. Because of the same embedding intensity, on one hand, it leads to the decline of the quality of the carrier image and influence the transparency and robustness of the watermark.

在此基础上，本文介绍了一种传统的基于小波变换的数字水印算法，这种算法将数字水印小波分解后的各个子带，嵌入到原始载体图像第三级小波子带中去，实现了水印的嵌入，试验结果显示该算法具有一定的不可见性和鲁棒性。

Because the genetic algorithms could search the optimization of objective function randomly, which via the evolution of groups, our work is based on the embedding/detecting way of "DWT-Based Audio Watermarking Using Support Vector Regression and Subsampling". And this method provides a preliminary discussion on the application of GA, which searching the individual with the highest fitness of attack-resistance in the aggregate of the optimal embedding strength. As an optimization solution of obtaining the optimal embedding strength, it could achieve an adaptive policy, and find a reasonable balance between the robustness and inaudibility of the watermark, just for the better robustness and inaudibility in the algorithm.

遗传算法是通过群体进化来随机搜索目标函数的最优化问题，对于前述基于支持向量回归机的小波域数字音频盲水印算法，进一步地探讨采用遗传算在嵌入强度集合中搜索对抗攻击能力适应度较高的个体，从而得到最佳嵌入强度的一个优化方案，以实现自适应策略，也使本算法能在水印的鲁棒性和不可感知性之间寻找到合理的平衡点，从而具有更良好透明性和鲁棒性。

A Intercalary behavior of different molecular weight of PEG such as 2 000, 4 000 and 6 000 in VXG was studied. The intercalation of polymer increases the layer distance of host and occurs cooperative effect with it.

研究比较了2 000、4 000、6 000三种不同分子量的水溶性聚合物聚乙二醇在五氧化二钒干凝胶层状氧化物中的嵌入，PEG的嵌入增加了主体层状物的层间距并与主体材料发生协同作用。

Anchor points based Isometric Embedding under least square error criterion has a time complexity of O n log( n , and after obtained geodesic distances it has linear time complexity for embedded points and can be fully realized in parallel.

基于锚点集的最小平方误差等距嵌入算法AIE具有O n log( n 的时间复杂性，而且在获得测地线距离后的计算时间复杂度达到对嵌入点数的线性关系，且可以完全并行实现。

In this paper, the existence of isometric mapping between the manifold in the high-dimensional data space and the parameter space is proved. By distinguishing the intrinsic dimensionality of high-dimensional data space from the manifold dimensionality, and it is proved that the intrinsic dimensionality is the upper bound of the manifold dimensionality in the high-dimensional space in which there is a toroidal manifold.

首先给出了高维数据的连续流形和低维参数空间之间的等距映射存在性证明，然后区分了嵌入空间维数、高维数据空间的固有维数和流形维数，并证明存在环状流形高维数据空间的参数空间维数小于嵌入空间维数。

When 〓,weget two special and important cases,that is,the embedding problem for Kirkmantriple systems and the embedding problem for nearly Kirkman triple systems.

关于〓的RGD的嵌入问题，有两种情形特别重要，其一即是Kirkman三元系的嵌入问题，这一问题已由R。

The Locally Linear Embedding algorithm based on Manifold learning is introduced firstly in this paper,because the

从分析基于流形学习理论的局部线性嵌入算法入手，针对传统的局部线性嵌入算法在源数据稀疏时会失效的缺点，提出了基于局部线性逼近思想的流形学习算法，并在S-曲线上采样测试取得良好降维效果。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。