查询词典 planar graph

The complement graph of its line graph and the line graph of its complement graph.

得到了其补图、线图、线图的补图及补图的线图的特征多项式。

This direction of research associates the graph in graph theory with the matrix in algebra by the matrix representation of a graph, then studies the algebraic property of graphs with the methods in graph theory and algebra.

该研究方向是通过图的矩阵表示将图论中的图与代数中的矩阵联系起来，再利用图论和代数方面的一些方法来研究图的代数性质。

Let G be a connected and simple graph with p order, the complement graph G is the union of a complete bipartite graph K n,m and an empty graph K.

设G为p 阶连通简单图，其补图G为完全偶图Kn，m 及空图K的并，笔者利用完全偶图的谱的特性，获得了图G的特征根分

The accomplished monitor modules include total graph of the device, columnar chart, time-frequency graph, axis trail graph and tendency graph, etc.

系统实现了部分常用的监测模块，包括设备总框图、柱状图、时域频域图、轴心轨迹图、趋势线和滤波、细化操作等模块。

This paper is based upon XiShan Colliery Parent Company .The data of DongQu Mine pit ventilation resistance mensuration is combined. And system theory, graph theory, ventilation network technology and computer technology are utilized. According to the reality of coalmine, we think that graph and database is incorporate in mine ventilation system. So based on this, ventilation system standard graph is founded, the tool of ventilation graph to draw is made, the ventilation network calculation is realized, the outcome of the ventilation network calculation is seen on the screen, and opaquing and inquiring of the road parameters and so on. In addition to mine ventilation drawing-database visual management system is developed.

本文基于西山煤矿总公司东曲矿〖东曲矿矿井通风网络计算机管理系统〗科研项目，结合东曲矿矿井通风阻力测定，运用系统理论、图论、通风网络技术及计算机技术，针对煤矿实际，将矿井通风系统中图形和数据库贯穿为一体，创建了通风系统标准图库并编制了通风图形绘制工具，实现了风网解算和解算结果图形显示及巷道参数的修改、查询等功能，开发了矿井通风图形数据可视化管理系统。

According to the distances, the SPWUG algorithm computed the initial partition of the coarsest graph by extending the Laplacian spectral graph theory from the unweighted undirected graph into the weighted undirected graph.

SPWUG算法借助Laplacian矩阵次小特征值对应的特征向量，刻画了节点间相对距离，将基于非赋权无向图的Laplacian谱理论在图的剖分应用方面扩展到无向赋权图上，实现了对最小图的初始剖分。

This paper proposed a transformable model of EWDG (edge-weighted directed graph) and VWDG (vertex-weighted directed graph) to resolve the problem of weighted traversal patterns mining. Based on the model, developed a new algorithm, called LGTWFPMiner (local graph traversals-based weighted frequent patterns miner), and its local estimation of support/weight-hound to discover weighted frequent patterns from the traversals on graph with a level property.

为解决加权遍历模式挖掘问题，首先提出了一种从EWDG到VWDG的变换模型；基于这种模型，提出了在具有层次特性的局部图遍历中，挖掘加权频繁模式的LCTWFPMiner（局部图遍历加权频繁模式挖掘法）及其支持度／权值界的局部评枯方法。

The kinematic analysis of a planar cam mechanism can be realiaed by the method that the higher pair is substitute for lower pair, and then it is equivalent to a planar linkage. The main point by the way is how to calculate the radius of curvative of planar cam profile.

对于平面凸轮机构的运动分析可以用高副低代的方法将其转化成平面连杆机构来进行，而高副低代后关键的问题是如何在书籍平面凸轮廓线的基础上求解凸轮的曲率半径。

Experimentally, multi-pores are observed on leukocyte lysed with 3D electrodes and just single pore with planar electrodes. This is believed to be due to more uniform electric field of 3D electrodes than that of planar electrodes. Intracellular elements are extracted through the membrane as observed by increased intensity of Trypan blue when diluted by saline solution. We also demonstrate the lysing percentages at same flow velocity to explain the performance of 3D electrode is superior to that of planar electrode.

在实验方面，可发现细胞在3D 电极的形况下，是有多个破孔出现，有别於在平面电极的单个破洞，也发现当细胞出现破孔时，经由Trypan blue的辅助观察以及在食盐水稀释情况下，细胞内液是往外流出的，另外由裂解比率的结果，3D电极也是优於平面电极。

This thesis investigates the profile extraction and shape optimization on the result of topology optimization of planar compliant mechanisms. The main context includes the following work:(1) summarizing and analyzing the recent research status, some harvest and unsolved problems;(2) analyzing the conceptual design of planar path-generating compliant mechanisms and its mathematical model and tools;(3) Modifying the method of density contour as the method of profile extraction, and developing a method to optimize the density function in the profile extraction according to the requirement of the design of compliant mechanism;(4) developing a method to abstract the compliant mechanism into a form of links and joints by using the principle of connectivity on topology;(5) developing a method of shape optimization of planar path-generating compliant mechanisms, by representing the profile of the abstracted compliant mechanism as simple curves such as straight lines and arcs, establishing the models of the size optimization of the parameters of these curves, so that the compliant mechanism has a machinable shape;(6) At last, proving the feasibleness and effectiveness of the design method by making simulation design and validating it in FEA software.

主要工作包括：(1)分析了柔顺机构拓扑优化和形状优化的研究现状，分析了目前柔顺机构的研究重点、主要成果和尚未解决的问题；(2)分析了基于SIMP的柔顺机构概念设计方法及其相关工具和模型；(3)针对柔顺机构轮廓提取的特殊要求，提出了密度等值线法的改进方案，对密度函数插值点密度值进行优化，提出优化模型和选择优化算法；(4)根据轨迹输出平面全柔顺机构自身的形状特点，提出了轨迹输出平面全柔顺机构的抽象方法，即应用拓扑学上的连通性原理将柔顺机构抽象成杆件和结点形式，并对相应的数学原理进行了证明；(5)提出了平面全柔顺机构的形状还原和尺寸优化方法，对抽象的柔顺机构进行还原，将其轮廓还原成简单曲线的连接，从而建立尺寸优化模型，对机构进行尺寸优化设计，在得到可加工的机构轮廓的同时又能对关键部位进行特别处理；(6)进行了柔顺机构的数值仿真设计，并将所得设计结果导入商用有限元软件中进行仿真实验，证明了设计方法的可行性和有效性。

For every one of my New Year resolutions, I have been a backslider for years.

说到我的新年决心，我每年都做

With empathy and focus on a feeling level, we can all relate to the common ground of mutuality of emotions.

有了同情心和感觉上一级的重点，我们都可以涉及到相互的情感共同点。