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The SV vectors are then lexicographically sorted, and copy forgery regions are localized by detecting for all neighborhood vectors.

盲被动图像取证技术的研究具有非常大的挑战性，因为分析图像时不具备任何先验知识，难以确定用来检测图像伪造的特征。

Such as seeking the solution of inverse matrix and maximum unconcerned system of linear equations,and solution of matrix equation,proving equation of system of vectors,and judging the linear independence of system of vectors,etc.

可以用来求逆矩阵，求向量组的极大无关组，证明向量组等价，解线性方程组，解矩阵方程和判断向量组的线性相关性，等等。

First, the reason behind the negative data is analyzed and a nonnegative constraint is imposed on the classic PCA. Then a set of nonnegative linear independence weight vectors of principal components is obtained, by which a low dimensional space is constructed. Finally, a nonlinear optimization technique is used to determine the projection vectors of the high-dimensional multi-spectral data in the constructed space.

首先分析主成分分析法产生非光谱数据的原因，据此对经典主成分分析模型增加非负约束；然后求出一组线性无关的非负主成分权向量，用该组向量构造低维空间；最后用非线性优化技术确定高维数据在该低维空间中的投影值，实现了高维空间与低维空间的相互转换。

Thus, we may have to extend our view from one dimensional axis to multi-dimensional space, m -space, and to extend our research tools from scalars to multi-component vectors, m -vectors.

因而，我们可能要扩展我们的眼光，把我们的眼光从一维的"数轴"扩展到"多维空间"，把我们的分析工具从"标量"扩展到"多元向量"。

All the eigen values of the matrix and orthogonal eigen vectors can be solved by this method without solving higher degree equation and orthogonalization of every eigen vectors.

而求解矩阵的特征值将意味着求解高次方程的根，这在数学上将遇到很大的困难，有时是难以克服的困难。

Based on the maximum margin criterion, a new algorithm of orthogonal optimal discriminant vectors and a new algorithm of statistically uncorrelated optimal discriminant vectors for feature extraction were proposed.

基于最大间距准则(Maximum Margin Criterion， MMC)下，提出一组具有标准正交性的最佳鉴别矢量的计算方法和一组具有统计不相关性的最佳鉴别矢量的计算方法。

Then the uncorrelated set of discrimiant vectors is obtained by resolving the orthogonal vectors based on Fisher discrimiant criterion in the uncorrelated projection space.

然后在无相关投影空间求解基于Fisher线性判别准则的正交矢量集，从而得到原空间的无相关鉴别矢量集。

The uncorrelated optimal discriminant vectors are obtained by resolving the orthogonal vectors based on maximum scatter difference discriminant criterion in the uncorrelated projection space.

本文基于最大散度差准则，利用统计不相关投影空间，提出了一组具有统计不相关性的最佳鉴别矢量的计算方法。

Producing PHAs,and then were orientationally inserted into a prokaryotic expression vector pBV220. By analyzing the bioactibity and function of their products, the biological function of phaA, phaB and phaC was confirmed. These have been done in our laboratory. To make better use of the three genes by plant bioreactor, two groups of different plant expression vectors that can be used to produce PHAs in different plants were constructed, and the transformation of PHA in Oxalis triangnlaris has been preliminarily reseached.The following is the main results:Three plant expression vectors pBI121-A,pBI121-B and ubquiting-C, which can be used to be transformed into Oxalis triangularis were respectively constructed by using the phaA, phaB and phaC.

菌株的亚克隆基因组片段中，分离出phaA、phaB和phaC三个基因片段，定向克隆至原核表达载体pBV220，通过对其生物活性与功能分析，确证了基因phaA、phaB和phaC的生物学功能；为了通过植物生物反应器对这三个基因进一步研究利用，本实验利用这三个基因构建了两组可用于不同植物生产PHA的真核表达载体，并对紫叶酢浆草进行PHA基因遗传转化的初步研究，获得主要结果如下：利用克隆的phaA、phaB、phaC三个基因分别构建了可用于转化紫叶酢浆草表达载体pBI121-A、pBI121-B、uBquiting-C；可用于玉米转化的种子特异性表达载体p7S-A、pBI121-S-B、uBquiting-C。

Compared by the response obtained by the traditional mode superposition method, the direct superposition method of Ritz vectors yields more accurate results with fewer vectors and the contributions of higher modes are not overlooked.

与传统模态叠加法算得的结果相比，里兹向量直接叠加法只用很少数目的向量就可以得到较精确的结果，而且高阶模态的贡献不会被忽略。

It is suggested that TDS can be used as a new method for the analysis of pedogenesis and climatic change.

总之，热处理过程中磁化率的变化能非常灵敏地反映磁性矿物的转化情况，而且，这种转化往往与样品所经历的土壤化作用强度密切相关，因此，TDS可做为分析成土作用强度和古气候变化的一种新方法。

Therefore, in this chapter, I will research into the conflict and contradiction of the paternity. Also, in this novel, the father's behavior of "He who loves well chastises well." is quite suspicious, one of the reasons is that the father thought his son belonged to him. And then, this thesis quoted Lacan's theory to touch upon that someone who has accepted the concept of patriarchal society, he will be influenced for his whole life. That also reveals that human being has no choice sometimes in this society.

因此本章会先就父子关系的冲突与矛盾做深入的探讨，小说中的父亲似有对儿子爱之深责之切的行为，其原因可能在於父亲将儿子视为所有物所致；其次，论文将引用拉冈相关理论，讨论在父权社会中，不论身分为何，只要是已受父权社会观念根深蒂固影响的人物，终生都将受其所苦，此也揭示出人生存於社会上的无奈。