可计算关系

Deffering from others' work, the essay sets all concept, mathematical model and reasoning on relational database such that uncertain reasoning has new qualities: Subjectivity and Calculability.

本文有别于他人的研究工作是将所有的概念、数学模型及推理基于各种关系数据库上考虑，使得本文的不确定推理具有新的特点：客观性和可计算性。

Use nationalization degree and the relationship that commercialize degree, condition of calculable market economy plays scope of optimal and state-owned economy.

利用国有化程度与市场化程度的关系，可计算市场经济条件下最佳国有经济规模。

The disquisition brings forward three principle in combination arithmetic designing and combination arithmetic choice. There is currency, countability and less information redundancy. And the disquisition analyses the relation of them.

本文提出了在组合算法设计和组合算法选择方面所应当遵循的三个原则，即通用性、可计算性和较少的信息冗余量，并初步分析了它们之间的相互关系。

The disquisition brings forward three principle in combination arithmetic designing and combination arithmetic choice. There is currency, countability and less information redundancy. And the disquisition analyses the relation of them. The three principle is the dominant ideology in combination arithmetic designing.

组合算法的选择与应用组合算法评价依据复杂性选择应用本文提出了在组合算法设计和组合算法选择方面所应当遵循的三个原则，即通用性、可计算性和较少的信息冗余量，并初步分析了它们之间的相互关系。

This article focuses on the line-line, line-region and region-region topological relations algorithm, which come down to the same question: whether there are intersections between line and line. The sweep-line algorithm was studied by many people, but has some deficiencies to be improved, in order to handle some special cases and increase program efficiency. My works as follows: rectangular envelope to reduce executive times , vector cross multiplication to determine intersection between line and line, coordinates and slope method to deal with some special cases. C program examples are showed together.(5) Finally, to prove capability and efficiency of the model and calculation method, some test systems are developed. For example, complex spatial topological relation query, parcels' exact area with the area of linear object reduced in land use, quality inspection to cadastral data according to topological rule, spatio-temporal change query of cadastral data.

将线线、线面、面面之间的拓扑关系实现的算法归结为线与线之间求交的基本问题；为处理一些特殊的拓扑关系情况，提高扫描线算法的效率，探讨了包络矩形粗滤、判断线线是否相交的矢量叉乘法、线节点重合或共线的斜率坐标判断法等改进方法；同时还设计了一种新的节点微小圆求交的算法，可应用于图斑与线状地物细分拓扑关系及地类面积的计算；（5）本文设计了实验系统，包括复杂对象的拓扑关系表达与计算程序、图斑地类面积的计算程序、基于空间拓扑关系规则的地籍数据库质量检查功能，以及时空拓扑关系和变化语义分析等原型，验证了拓扑关系表达模型和计算方法的可行性和实用性。

The reason why the model is based on Voronoi diagram and Delaunay triangulation is that one of the main factors of directional relationships is visible field of two objects, and the visible field is adjacent part of two object, so direction calculation of two objects may be limited in the adjacent field.

模型的建立之所以借助于Delaunay三角网和Voronoi图建立空间方向关系计算和描述模型，是因为决定两目标之间的空间方向关系的主要因素之一是这两个目标之间的可视区域，而可视区域恰好是它们的邻近区域，因而两目标的空间方向计算问题可以归结为目标间邻近区域内的问题。

The rainstorm process is a complex and stochastic multi-dimensional process.A correlation exists between the maximal annual period-storm and the rainfall duration,with overlooking many factors,the parameterwill not be a constant.Since 1980s,heavy rain and flood of small basins can be calculated by auto-recording rainfall observation system,and 20-year's self-recording rainfall data can improve the calculation accuraey.

暴雨过程是一个复杂的多维随机过程，年最大时段暴雨xt，p与暴雨历时t的暴雨公式属于经验相关关系，忽略了不少影响因素，因此，公式中参数n值不会是稳定不变的。20世纪80年代以后，随着自记雨量观测应用，到目前已经有20多年的资料系列，小流域暴雨设计的计算就可以直接利用时段实测降水资料系列进行计算，设计洪水时，可根据实测雨量时段资料，计算该设计流域的n值，可提高计算精度。

The innovations of this paper as follows:(1)The topological relation model between complex spatial objects is brought forward, which represented by some composite basic 9I matrix and results in general signification.(2)Time and space integrated topological model is suggested to reason about spatio-temporal change types;(3)Sweep-line algorithm is improved, and a new little circles of polyline nodes overlapped with region method is proposed. As result, it's efficient to calculate line-line, line-region and region-region topological relations.

本文的创新之处在于提出了一种能够描述复杂对象的数学表达模型，将复杂对象间的复合拓扑关系表示成基本拓扑关系的组合，具有一定的普适意义；研究了时空拓扑关系的内涵和表达方法，说明利用时空拓扑关系可隐性地实现时空变化语义的查询；对平面扫描线法进行了改进，提出了一种新的节点微小圆求交的算法，可有效地解决线面、线线、面面拓扑关系的计算问题。

The results indicated that both binary interactive parameters of water/isobutanol system from this work and the parameters of water/ethanol from literature can be used to precdict the liquid-liquid equilibria of water/ethanol/isobutanol. But the parameters of ethanol/isobutanol from the literature were not appropriate for the prediction. Furthermore, the model parameters from 30℃ can can be used to predict the liquid-liquid equilibria under 35 ℃. The model parameters of water/isobutanol are independent on the temperatures, so constant parameters irrelative to temperature can meet prediction accuracy. Othmer-Tobias/Bancroft equation was also used to fit the liquid-liquid data of water/ethanol/isobutanol system, but it didnt possess the performance of predicting the liquid-liquid equilibria.The partition coefficients of dipotassium glycyrrhizinat were determined in the liquid-liquid two-phase system of water/ethanol/isobutanol and corrected by experiential equation.

结果表明：由本文的二元液液相平衡实验数据关联得到的水+异丁醇体系的相互作用参数和文献上由二元气液相平衡数据关联得到的水+乙醇体系的相互作用参数都具有预测三元液液相平衡关系的能力，而文献上由二元气液相平衡数据关联得到的乙醇+异丁醇体系的相互作用参数不具有预测三元液液相平衡关系的能力；可以用从30℃三元液液相平衡数据关联回归得到的模型参数来预测35℃时的液液相平衡关系；水+异丁醇的相互作用参数与温度关系不是很密切，计算时取与温度无关的常数即能满足关联精度要求；Othmer-Tobias和Bancroft经验方程可用于水+乙醇+异丁醇两相体系的液液相平衡关系的关联计算，但这类经验方法并不具有预测能力。

Hypercube has many advantages, such as smaller diameter, simple routing algorithm, many parallel paths between any two nodes, and fault-tolerance, on the other hand that the Hypercube nodal degree increased logarithmetically to the number of nodes has limited network population. So we propose a constant nodal degree hierarchical topology to remedy the weakness of Hypercube and take advantages of Hypercube most. Given the definition of FCCN we analyse the basic properties including nodal degree , number of links , extensibility and diameter (maximum network communication delay). Also we proposed a simple and self-routing algorithm applied in FCCN. Although the self-routing algorithm is not optimal, but at more than 82% case it can get the shortest path, and the percent is larger and larger increased with network levels. By the self-routing algorithm the internodal distance is calculated to evaluate the network communication delay more clearly. The average internal distance is in order of the cubic root of the network population that is almost same as logarithmetically relation in a few thousands. FCCN is a highly scalable network due to its recursive construction.

首先在比较了基本互连网络的基础上，看到超立体网络的杰出性能，包括网络直径小、寻路算法简单且为自寻路算法、容错能力好等等，但是由于其节点度随网络的规模的增加而按对数关系增长，使得超立体网络的应用规模受到极大限制，所以为了能最大限度利用超立体网络的优点的同时弥补其节点度方面的不足，作者提出了节点度等于常数4的FCCN网络结构，来最多地利用立方体网络的优点；然后在对FCCN网络进行严格的定义后，分析了网络的节点度、链路数、延伸特性、网络的直径（决定网络的最大通讯延迟）等，并提出了适于FCCN网络的简单的自寻路算法，计算自寻路算法可得到最短路径的比例，看到在多于82％以上的情况自寻路算法都是最优的，而且比例随网络层数的增加而增加；应用所提出的自寻路算法计算了可以更加准确反映网络通讯延迟的参数—网络平均节点距离，计算得到此参数与网络大小的立方根成正比，此比例关系在网络的规模在几千节点以内与对数关系的网络几乎一样；FCCN网络是一高度可扩展结构，这是因为FCCN的递归构成方式，使得网络在增加节点时其原有的拓扑结构可以保持不变，不需对网络进行重新设计，为网络的实用扩展提供了条件；理论分析得出FCCN网络是一种高度可扩展高性能网络的结论。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。