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。 更多例句>> 4) 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...
1.The article puts forward and sets out clearly algebraic substitution axiom andthe 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.Usingthe principle of duality,the article creatively solves the problem of relationships between ...
A rigorous mathematical approach to extending nonfuzzy structures to fuzzy sets is presented. This approach is based on classical ideas of duality in analysis and inverse image in set theory. We apply these new techniques to characterizing indistinguishability relations, fuzzy interval orders, and ...
1.5.5 Duality Principle The duality principle states that any true result involving sets is also true when we replace unions by intersections, intersections by unions, sets by their complements, and if we reverse the inclusion symbols ⊂ and ⊃. For example, if we replace the union in the...
This paper generalizes the duality between polynomial modules and their inverse systems (Macaulay), behaviors (Willems) or zero sets of arrays or multi-s... P Lu,M Liu,U Oberst - 《Acta Applicandae Mathematica》 被引量: 33发表: 2004年 Duality and Rational Modules in Hopf Algebras over Commu...
The Borel setSthat we consider is related solely to the positive partV^{+}and has been introduced in [19] as the level set (1.3) where[Math Processing Error]denotes the precise representative of thetorsion function[Math Processing Error], which minimizes the energy functional ...
The wave-particle duality (WPD) of microscopic particles has been proven[4]. But charged particles such as electrons, should have at least dual WPDs due to their energy of mass and charge potential.According to de Broglie-Bohm’s theory[5],macroscopic matter also exhibits both wave-like and...
The sets of microstates are what we have been calling "macroscopic cat states" or "pointer states". jlcd said: So if the microstates (micro pointer states) can be influenced. There is no such thing as "micro pointer states". Pointer states (which is really a misnomer, these are huge ...
A special backward stochastic differential equation is introduced to deal with the cross terms, when applying the duality technique. Comparing with the classical result, the maximum condition contains an indicator function, which in fact is the characteristic of the stochastic optimal control problem ...
In this paper, we investigate the stochastic optimal control problem for the zero-sum stochastic differential game of mean-field type with partial information. We derive a necessary and sufficient maximum principle for that problem by virtue of the duality method and the mean-field backward stochasti...