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Firstly, four geometric loop equations are set up by using vector method in complex number fields. Secondly, three constraint equations are used to construct the Dixon resultants, which is a 6×6 matrix and contain two variables to be eliminated. Extract the greatest common divisor of two rows and two columns of Dixon matrix and compute its determinant to obtain a new equation. This equation together with the forth constraint equation can be used to construct a Sylvester resultant.

首先使用矢量法和复数法建立4个几何约束方程式；再使用Dixon结式法对3个方程式构造一个含有2个变元的6×6 Dixon矩阵，提取其中2行列元素的公因式，将新矩阵的行列式展开后得到二元高次多项式方程，该方程与剩下一个方程使用Sylvester结式消去一变元，得到一元高次方程。

It is a dependent "construct" made up of the interlocking digital projections of billions of human beings who are unaware of the illusory nature of the reality in which they live and are completely dependent on the hardware attached to their real bodies and the elaborate software programs created by AI This "construct" resembles the Buddhist idea of samsara, which teaches that the world in which we live our daily lives is constructed only from the sensory projections formulated from our own desires.

这是个和几十亿不知真相被作为电池的人类相连接的"结构"。这个"结构"类似佛教的轮回，认为这个世界就是我们由欲望而生的感觉的构造。

By man-computer interaction technique, data are selected from crossing-well seismic lines to construct synthetic seismic records, and 20 seismic characteristic parameters are taken to identify igneous rocks by neural network techniques to construct the structural map of their top and bottom.

通过人机联作解释技术抽取联井地震测线、制作合成地震记录，提取了20种地震特征参数，采用神经网络判识技术识别火成岩，编制出火成岩等厚图和顶面、底面构造图。

Based on the property of OPF problem, construct appropriate linear programming model to avoid dimension expended, apply sparsity technique and construct the same triangle factorization matrix of IP method to reduce the calculation burden.

本文从众多文献的研究中获得解决以下问题的方案：如何从内点算法中判断基变量；如何从内点法中得到与单纯形表相同的信息以及如何根据内点法的乘子变量形成割平面。

Given a mesh, we first solve a Poisson equation to construct a scalar field and use it to generate some critical points. The cutting paths between the critical points and the boundaries are solved in the Poisson scalar field using the deepest descent method. For meshes with nonzero-genus, we construct a Harmonic scalar field, and connect the saddle points with the boundaries based on the Morse theory.

对于给定的任意网格，通过求解泊松方程构造标量场来选取临界点，并采用最速下降法给出临界点到边界或者初始点的切割路径；对于亏格不为零的网格，基于Morse理论，通过构造一个调和标量场来得到鞍点，并将它们连接到边界。

The third part mainly focuses on common points and differences on research of national interests between Neorealism and Neoliberalism,and based on criticism of rationalistic research paradigm originated from synthesis of Neorealism and Neoliberalism,focuses on research agenda on national interests promoted by constructivism,Through this study we can draw a main conclusion,which is no matter how to construct a new and withstand tests international political theory through any patterns, the narration about interests especially national interests surely located on the centre position of its theory deduction.So,to construct China's international relations theory, take research of national interests as the starting point may be a good choice.

通过考察，本文得出这样一条基本结论，即无论以何种模式构建一种新的、要经得起考验的国际关系理论，关于利益特别是国家利益的论述，必将处于其理论演绎的核心位置，因此，构建中国的国际关系理论，以对国家利益的研究为起点，或许是一个不错的选择。

To construct a retroviral vector carrying immortalizing gene hTERT, screen gene puro, reporter gene EGFP and recombination site sequence LoxP for reversible cell immortalization. Linearized pBABE-puro was cut by restriction enzyme Nhe Ⅰ and ligated with loxP double strands to construct a vector pBABE-puro-lox.

目的 探讨以hTERT作为永生化基因、嘌呤霉素乙酰转移酶基因puro作为筛选基因、加强型绿色荧光蛋白EGFP作为报道基因、loxp作为重组位点构建可回复性永生化逆转录病毒载体，为建立可回复性永生化细胞株莫定基础。

First we construct a covariance matrix from sample images, then compute the eigenvalues and corresponding eigenvectors of the covariance matrix, construct a feature matrix with the eigenvectors. Then every images in database can be projected into the feature matrix and gain a projection vector, so does the input image. Then we can judge the resemblance between input image with each image in database by computing the distance between their projection vectors.

我们首先根据采集的样本图像构造一个协方差矩阵，然后求取该矩阵的特征值，以这些矩阵特征值对应的特征向量构造出一个特征空间，然后将输入图像向该特征空间映射，将获取的映射系数与样本库中图像的映射系数进行距离计算，根据计算出的距离判定输入图像与样本图像间的匹配程度。

In this thesis, we introduce three indexes that are used to evaluate the main business firstly. Theyre profit of main business, cashflow of main business and integrated index of main business. Then, we construct a series of regression models of assets structure with profit of main business and cashflow of main business, which signalize the current assets and the fixed assets help them; the long-term investments hinder them; the other assets help or hinder them uncertainly, and even have nothing to do with them sometimes. Finally, we construct the regression models of assets structure with integrated index of main business, and put forward a method to optimize the assets structure.

本文首先将主营业务指标分为主营业务利润、主营业务现金流量与主营业务综合指标；然后，通过构建资产结构与主营业务利润、资产结构与主营业务现金流量回归模型，发现流动资产、固定资产对主营业务利润和主营业务现金流量为正影响，长期投资对主营业务利润和主营业务现金流量为负影响，其他资产对主营业务利润和主营业务现金流量影响时有时无，时正时负；最后，在此研究基础上，构建资产结构与主营业务综合业绩指标回归模型，并提出优化资产结构的方法。

"We construct the embankment to protect from the saltwater in this area, and we construct the sluice gate to reduce the water in the embankment in the rainy season."

我们在这个地区盖了堤坊、预防海水倒灌，我们也建造了水门，可以减少雨季、洪水的发生。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。