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Is said to be hyperconnected if for every minimum vertex cut C of G, G - C has exactly two components one of which is an isolated vertex.

称为超连通的,若对每个最小割集C;G-C恰有两个连通分支,且其中之一为孤立点。

Based on investigating the short and intermittent structural plane, surrounding rockmass of the huge underground powerhouse in Three Gorge has been divided into five statistical similar areas according to its characteristic of rockmass structure by applying structure plane network simulation. Distributed characteristic of structural plane has been studied and based on it mechanics macrocharacteristic has been studied:(1) It is the first time that based on the result of structural plane network simulation rockmass quality of every structure area has been studied with applying blurred information optimum seeking technique and be compared with and RQD method. The result indicated that it has better effect to evaluate rock quality with blurred information optimum seeking technique.(2) It is the first time that the interrelated relationship of the result of in-suit rockmass deformation test and fractal characteristic of structure on test point has been applied to determine rockmass deformation parameter. The question of evaluating deformation parameters of engineering rockmass has been solved.(3) Anisotropy strength parameters have been determined by applying shear zones simulating method. The result indicated that there are different strength parameters in every structural area, after comparing the result of Fast Lagranian Analysis in continua number simulation method with that of method of weighted mean according to continuity. The result indicated that when a suitable reduction coefficient is been considered rockmass strength parameters can be simply and fast determined with method of weighted mean according to continuity where there is not enough test result.(4) Damage characteristic has been studied based on analysis fractal characteristic of structural plane network by applying fractal-damage coupling method. It is the first time that the concept of damage degree has been set up to evaluate rockmass quality according to the biggest principal damage.

通过对短小、断续性结构面统计特征的研究,将地下厂房区划分为五个岩体结构统计均质区,应用结构面网络模拟技术研究了各个岩体结构均质区结构面的发育分布特征,并以此为基础对岩体宏观力学特性进行了深入研究:(1)首次通过在结构面网络模拟计算结果的基础上,应用模糊信息优化技术研究了厂房区各个岩体结构分区的岩体质量并与岩体基本质量指标研究法、岩体质量指标RQD值研究法作了对比,结果表明以结构面网络模拟结果为基础,应用模糊信息优化技术进行岩体质量评价能够取得很好的效果,解决了工程岩体质量的定量评价问题;(2)首次通过对已有的现场大型岩体变形试验结果的分析及相应试验点岩体结构分形特征的研究,建立了结构面分布的分形维数和岩体变形指标间的相关关系,并首次应用这种相关关系根据结构面网络模拟及分形维数计算结果确定了缺少试验结果的地下厂房各工程部位的岩体变形指标而且应用于围岩稳定性计算,解决了工程岩体宏观变形参数的评价问题;(3)应用在结构面模拟网络图上模拟岩体剪切破坏带的方法,得出了岩体在不同方向上的强度参数,结果表明岩体的强度特性与结构面的发育方向和程度有着明显的关系,各个岩体结构均质区具有不同的强度参数;同时还通过应用拉格朗日差分法对岩体强度指标的数值分析并与按连通率加权平均计算法对比表明,按连通率加权平均计算法在考虑合理的折减系数情况下,可以简单快速地对缺少现场大型试验结果的具体工程部位实现岩体强度指标的估计,通过以上研究解决了工程岩体抗剪强度参数的评价问题;(4)通过结构面网络分形维数的研究,应用分形损伤耦合分析方法,研究了厂房区岩体的损伤特征,并首次引入"损伤度"的概念,建立了应用最大主损伤评价岩体质量的指标体系。

Therefore,whatever of simply or multiply connected region,as longas the dynamic thermal stress distribution is generated by a temperature fieldapplied at the surface of some two-dimensional cavities in the elastic medium,the method of this dissertation can always be used to analyze it.

本文的研究结果具有理论上定性的意义,因此,本文的分析方法适用范围是广泛的,无论是单连通型,还是复连通型,凡是弹性材料中二维孔洞表面由温度场引起的动态热应力分布问题均可应用本文的分析方法来进行分析。

Adopting the conformal mapping or rotation axis etc complex methods which areoften used to treat with the hole or cavity problem,a two-dimensional cavity ofeither simply or multiply connected region is projected into the interior of acircle or an annulus.As well as the global coordinate system is turned into thelocal coordinate system.

采用处理孔口问题最常用的映射函数和移轴等复变函数方法,把复杂的单连通区域和某些复连通区域型二维孔洞转化为简单的单位圆内区域或圆环区域,把整体坐标转为局域曲线坐标,而,最终把问题简化归结为一组无穷代数方程组的求解问题。

A finite element model of 3-3 piezocomposites was established according to the homogenization method, which combined the techniques relying upon representative volume element and periodic boundary conditions.

压电复合材料是由至少一种压电材料与非压电材料按照一定的连通方式组合在一起而构成的一种具有压电效应的新材料[1]。3 3 型压电复合材料是指压电相和非压电相分别三维连通的压电复合材料。

In [2], Kirkland characterizes the limit points for algebraic connectivity of trees in terms of Perron values of certain positive matrices, and finds the four largest elements of limit points for algebraic connectivity of trees together with the corresponding branches.

Kirkland在文献[2]中用正矩阵Perron值的方法刻划了树的代数连通度的极限点,并给出了树的代数连通度的前四大值和达到这些数值相应的分支。

This study presents a new multilayer implicit connection graph-based gridless router called NEMO. Unlike the first implicit connection graph-based router that embeds all routing layers onto a routing plane, NEMO constructs a routing plane for each routing layer.

这个研究提出一个新的以隐性连通图为基础的多层非格子绕线器尼摩,它不像之前第一个以隐性连通图为基础的绕线器埋置所有层到一个绕线平面,尼摩一个绕线层就建构一个绕线平面。

The shortest path approximation algorithm builds a weighted graph from the given set of scattered points using the distribution of these data points. By computing the shortest path in the weighted graph, the problem of curve reconstruction from scattered data points is transformed into that of curve reconstruction from a set of ordered data points.

最短路逼近算法首次将图论中最短路径理论引入到曲线重建中,根据散乱数据点的分布构造带权连通图,通过求解带权连通图的最短路径,将散乱数据点集的曲线重建问题转化为有序数据点集的曲线重建问题。

The proposed method can reconstruct curves from data set with arbitrary topology, such as simply connected, multiple connected and closed scattered points, keep the shape characteristic of point set well, especially in the segments with high curvature, and provide effective methods and technologies for the screw reconstrucion.

因此最短路逼近算法有效地解决了单连通、多连通和封闭的数据点集的曲线重建问题,较好地保持了数据点集的形状和走向,尤其是带尖点的数据点集的形状特征,为旋转面、螺旋面和可展曲面面的重建提供了有效方法和技术。

In order to decrease the number of repeat calculation, the contours can be divided into a series of simply connected region. Blanking method will be used for the contour's scanning lines to generate scanning lines of the layer by the unit of simply connected region.

为了减少重复计算的次数,将截面的所有轮廓划分为一系列的单连通区域,将处理后的各轮廓的扫描线,以单连通区域为单位应用消隐法生成层扫描线。

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