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Experiments of flow conductivity closure stress of typical propping agent are done, propping agent short-term flow conductivity alteration index is defined, by this, the relation between fissure short-term flow conductivity and closure stress, it is close to exponential relation. 4. Establishing the mathematical simulator of hydraulic fractured well's production in a steady state, finding the relation curve between dimensionless flow conductivity and fracture penetration coefficient by means of calculation and analyses, it is the basis of hydraulic fracture. 5. Expatiating the importance of optimized hydraulic fracturing design in reservoir engineering, advancing the optimizing design method, fracture dimension can be calculated easily when the physical parameters are known. 6. Production rate decline standard curve of vertical fractured wells is achieved by mathematical simulation, when the flow pressure is certain , by asymptotic analyze, this decline curve is close to exponential relation.

完成了国内外典型支撑剂的导流能力闭合应力影响实验，在数据分析中定义了支撑剂短期导流能力变异系数，并由此发现裂缝短期导流能力随闭合应力变化的近似符合指数关系式； 4 建立了一种水力压裂井稳态产能的数学模拟器，计算分析找到了最优无量纲导流能力与裂缝穿透比之间的新型关系曲线，它是水力压裂优化设计的基础； 5 阐述了水力压裂油藏工程优化设计的重要性，提出了优化设计方法，在已知支撑剂物性参数条件下可简洁计算最优裂缝尺寸； 6 数学模拟给出了垂直裂缝井产量递减标准曲线，在井底定压条件下通过渐近分析表明，该递减曲线满足指数关系式。

In this paper, concepts of grey absolute relation coefficient and grey relative relation coefficient are proposed. And a computational formula of grey relation grade is developed, which formes a new theoretical model for analysis of grey relation.

1引言灰色关联分析是灰色系统理论的一个重要内容，它通过参考序列与比较序列各点之间的距离分析来确定各序列之间的差异性和相近性，从而找出各因子之间的影响关系及影响系统行为的主要因子。

New concepts of grey absolute relation coefficient and grey relative relation coefficient are proposed and a new computational formula of grey relation grade is developed, which forms a new theoretical model for analysis of grey relation.

第二章，简述了目前几种常见的灰关联分析模型，指出了这些分析模型存在的不足及其导致不足的原因，然后给出了灰色绝对关联系数及相对关联系数的定义，进而建立了灰色关联分析的新的理论模型。

Is proved to be a residuated lattice. In the second chapter, the concept of congruence relation on a residuated lattice is introduced. It is proved that the quotient algebra of a residuated lattice about the congruence relation is still a residuated lattice. Then as a generalization of the congruence relation, the concept of fuzzy congruence relation is brought in.

本文的第二章首先定义了剩余格上的同余关系，证明了剩余格中的滤子对应一个同余关系，并由该同余关系确定的商代数仍是剩余格；然后将同余关系自然推广，定义了Fuzzy同余关系，证明了Fuzzy同余关系与Fuzzy滤子是一一对应的。

This unifies the vertical relation which is the fundamental-derivative relation and the horizontal relation which is the cross sectional relation.

本文构造的基于资产链的资本资产定价模型清晰地反映出公司管理层面、基本赢利层面和市场流动性三了层面的信息，实现了企业基本面信息和市场流动性信息的有机统一。

What's more the relations between different asset are classified to three groups which are the fundamental-derivative relation、the cross sectional relation and the comprehensive relation, on basis of which the asset pricing anomalies are classified individually to different groups.(2)The price model of the capital asset is constructed trailing the path of the asset value's incrementing and transferring. And then a three–factor model is established which can be utilized by the empirical researches. Concretely, under the capital chain, we conclude the relation between the stocks and the corporate assets is a fundamental-derivative one and the research object is the capital asset under the capital chain.

具体而言，本文在资产链的角度下分析股票和公司资产之间的"基础—衍生"关系，明确了本文的研究对象为资产链下的资本资产；建立了公司资产的价值，将公司资产和其基础资产公司的财产联系了起来，构造了资产链上第一个节点——公司资产的价值；将公司资产和资本资产进行了关联，在考虑公司资产变为资本资产的流动性增值后，建立了资本资产的价格模型；在前文资本资产价格模型的基础上进行了收益分解，基于此引入了具有长中短不同决策周期的三类投资者，在存在无风险资产和不存在无风险资产两种情况下分别建立了可用于实证的三因素模型。

From the viewpoint of logic of relation, syllogism is not the inference based on Relation A, E, I, O between general term and general term as Jan Lukasiewicz thought. In stead, it is the inference based on the identical relation or non-identical relation between member of class and member of class.

从关系逻辑的观点看，三段论并非如卢卡西维茨所认为的那样是根据普遍词项的A、E、I、O关系所进行的推理，而是根据类的分子与类的分子的等同于或不等同于关系所进行的推理。

For the problem of data s mismanagement, separated usage of study tools and hard for awareness processing widely existing in the traditional collaborative learning system, the nested knowledge space model is presented in this paper, which includes the concepts of knowledge domain, inclusion relation, correlation relation, quasi-order relation and parallel relation among the knowledge domain,and knowledge space etc.

针对传统协同学习系统中普遍存在着学习材料组织混乱、学习工具隔离使用和感知处理困难等问题，本文提出了嵌套式知识空间模型，该模型包含知识域、知识域之间的包含关系、相关关系、拟序关系和并行关系以及知识空间等概念。

This paper takes advantage of interval algebra and rectangle algebra theories. and brings forward a new reasoning method based on combination of the MBR model's cardinal direction relation and rectangle algebra relation; And provides the composing method based on the direction relation matrix by using the direction relation matrix to denote the direction relations between the objects'MBRs.

本文以物体的MBR为模型，利用区间代数及矩形代数理论，提出了一种基于MBR的主方向关系与矩形代数关系相结合的推理方法；同时利用方向关系矩阵表示物体MBR之间的方向关系，得到了基于方向关系矩阵的组合推理方法。

Field data of pedestrian flow was collected in Chinese comprehensive passenger transport terminal—Xizhimen underground station using video recording, and then selected and analyzed by statistic analysis software SPSS. Parameters relation models for pedestrian flow on different terminal facilities were established based on data statistics. The results show that the pedestrian flow-density relation model is quadratic equation in corridor; the flow-space relation model is quadratic equation when space is below a certain value and is logarithmic equation when space is above the value; the speed-density relation model is linear equation. The models on stairs show the similar characteristics, but the eigenvalue is different.

对国内综合交通客运枢纽——北京西直门地铁站行人流数据进行视频采集，采用统计分析软件SPSS对行人流参数数据进行筛选及拟合分析，建立了不同设施的行人流参数关系曲线及函数模型，研究结果表明，水平通道处行人流量与密度呈二次函数关系、流量与空间在某一临界点两侧分别呈二次函数及对数函数关系、速度与密度呈线性关系，楼梯处与之相似但特征点数值存在差异。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。