1) Planar Graph and the Principle of Duality
平面图与对偶原理
2) duality principle
对偶原理
1.
Fault diagnosis based on duality principle for systems with time-delay;
时滞系统基于对偶原理的故障诊断
2.
Two interval sculling compensation algorithm based on duality principle
基于对偶原理的二子样划船补偿算法
3.
Traditionally,duality principle is limited to linear circuits.
对偶原理是分析电力电子电路拓扑结构的有力工具。
3) the principle of duality
对偶原理
1.
The article puts forward and sets out clearly algebraic substitution axiom and the principle of duality, which are both universal logic laws.
提出和阐明了两个普遍的逻辑规律——代数替换公理与对偶原理。
2.
Using the principle of duality,the article creatively solves the problem of relationships between planar graphs,connected graphs and dual graphs.
该文利用对偶原理创造性地解决了平面图、连通图及对偶图之间的相互关系问题,纠正了长期以来对于平面图及其同构的错误认识,指出平面图必为连通图,平面图本质上是画在同一平面上的顶点、边、面均不相交的连通图。
4) dual principle
对偶原理
1.
Directed against the features that the objective function and restraint function for the optimal designing problems of gear transmission were constituted by generalized multinomial, and by the use of dual principle let the highly nonlinear planning problems be transformed into the solution of the optimized problems with linear restraint.
针对齿轮传动优化设计问题的目标函数和约束函数一般是广义多项式构成的特点,利用对偶原理,将高度非线性规划问题转变成具有线性约束的最优化问题求解,简洁方便,避免采用数值迭代计算的麻烦,而且有助于深入了解问题的某些特征。
2.
On the basis of the study of dual principle,the duality existing universally in nature is brought into study range of the extenics and is considered as a kind of extensionality of the matter element,and then an extensive method named similar-couple method is proposed based the duality.
在研究对偶原理的基础上,把自然界所普遍存在的对偶性纳入可拓学的研究范畴,认为对偶性是物元的一种可拓性,提出了基于物元对偶性的可拓方法——相似偶方法,并结合实例说明了利用相似偶方法解决复杂问题的步骤。
3.
The study begins with dual principle, from which monopole is introduced and the form of electric charge grotesque potential is applied, and from which the law of conservation of energy is obtained and Dirac s condition of quantification is mutually decisive.
应用对偶原理引入了磁单极和点电荷的奇异势 ,并导出了磁单极存在时的能量守恒定律公式及狄拉克量子化条件 ,从而说明电荷、磁荷的量子化是互定的 。
5) Principle of duality
对偶原理
1.
Based on Ya s Circle Guess, we prove return circuit questions of one kind of curve internal zigzag line in theory, and get return circuit relations of curve s some tangents by using principle of duality
由叶氏圆猜想,对一类曲线内折线的某种回路问题作出理论上的证明,并利用对偶原理得出曲线的某些切线的回路关系。
6) primal and dual program
原始与对偶规划
补充资料:平面图
平面图
planar graph
平面表示的面的数目均一样。这可以用著名的欧拉公式进行计算;若n阶平面图G有m条边和k个分支,则G的一个平面表示的面数f=m一n+k+1。在无向图G的任一条边。上插人一个度为2的顶点,将。一分为二,或者从G中删去一个度为2的顶点v,将与v关联的两条边合二为一,可得到图G,,此时称G与G,同胚。波兰数学家Kuratowski给出了判断一个图是否为平面图的准则,即著名的库拉托夫斯基定理:无向图G是平面图当且仅当G没有同胚于图1或图2的子图(参见图论)。 给定平面图G的一个平面表示,在其每个面内找一顶点,若两个面有m条公共边,则用m条线连接这两个面内取定的顶点,并使其分别与m条公共边相交。由这些顶点和连线组成了边不在非顶点处相交的图形。称以该图形为其平面表示的平面图为G的对偶图。(张强)P ingm一antu平面图(Planarg,ph)能够在平面上画出,且边不在非顶点处相交的无向图。在平面上画出的边不在非顶点处相交的平面图G的图形称为G的平面表示。在平面图G的一个平面表示中,以G的边为边界的连通区域称为G的该平面表示的面。一个平面图可以有多个不同的平面表示,但其任何
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参考词条