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In this paper,several continuous variables are introduced to replace the discrete decision variable s,most importantly the pipe .

在数学模型中，引入连续变量代替离散的决策变量，这些连续变量是管道的"分段长度"，将混合整数非线性规划问题转化成连续的非线性规划问题。

The third key technique is discrete vector field decomposition.

第三项关键技术是离散向量场的分解。

From the point of algebra, ablock decomposition formula for coefficient matrix of discrete Hartley transform isgiven, from which a new fast DHT recursive algorithm is derived.

本文首先从代数角度出发，给出离散Hartley变换系数阵的一种块分解式，由此导出DHT的一种新的快速递归算法。

First of all, the FEE project risk identification model based on feature map has been built, which is object-oriented and uses four main methods: direct mapping, project mapping, discrete decomposition mapping, and group mapping to identify the FEE project risk more completely, more scientifically and more efficiently.

在风险评判的过程中，研究利用人工神经网络技术和模糊系统理论，构建了基于"BP神经网络-模糊系统"串联模式的林业生态工程项目风险综合评判模型，从而有效地解决了项目风险的复杂性和非线性带来的多指标综合评价难题，并使用"相对属于"的概念使得风险等级的评判结果更加趋于合理。

Second, analyzing principle of the singular value decomposition and the principle of wavelet transform deeply at all levels, as well as the impact to image processing and singular value decomposition wavelet analyzing, focus on single watermarking and double watermarking algorithm based on the discrete wavelet transform.

其次，深入分析了奇异值分解的原理和小波变换的原理以及图像处理对各级小波分解和奇异值分析的影响等，重点研究了基于离散小波变换的单水印和双水印算法。

According to the characteristics of subarea control and interlayer control of AVC,the reactive power optimization based on the principle of decomposition coordination in provincial grid is proposed to better improvement the astringency of algorithm,calculation speed and disposal of discrete variables.

针对AVC分区、分层控制的特点，提出在省级电网实现基于分解协调原理的无功优化，以期在算法的收敛性、计算速度以及对离散变量的处理几方面有明显的改进。

Chart -- A discrete control chart. Based on the binomial distribution, fraction defective, p, is the ratio of the number of defective items, x, in a sample of size n.

图 --一种基于二项式分布的计数值控制图，它反映的是有缺陷产品的比率。P就是样本容量为n时，有缺陷产品x的比率。

The sufficient and necessary conditions of positive definitiveness of a covariance matrix from multivariate discrete data are obtained.

本论文通过引入p-向量配、I-线性组合及它们的性质，研究离散型样本协方差矩阵的正定性问题。

Further more, this thesis has provided a new method for optimizing sampling in theory, and established the probability model for the positive definitiveness of discrete sample by which the number of sampling was optimized.

在应用上，建立了离散型样本协方差矩阵正定的概率模型；提出了一种新的优化抽样调查设计方案，优化了抽样个数。

In a special case of 2 dimensional variables, the probability of the positive definitiveness of the discrete sample covariance matrix is given in term of sample size and variable dimension. Based on the results, the optimal sample size is provided in this thesis.

推出了离散型样本协方差矩阵正定的充要条件，得到了求离散型样本协方差矩阵正定概率的模型，建立了特殊情况下的抽样优化模型。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。