duality principle

duality principle

[dü′al·əd·ē ‚prin·sə·pəl]
Also known as principle of duality.
(electricity)
The principle that for any theorem in electrical circuit analysis there is a dual theorem in which one replaces quantities with dual quantities; current and voltage, impedance and admittance, and meshes and nodes are examples of dual quantities.
(electronics)
The principle that analogies may be drawn between a transistor circuit and the corresponding vacuum tube circuit.
(electromagnetism)
The principle that one can obtain new solutions of Maxwell's equations from known solutions by replacingEwithH, Hwith-E,ε with μ, and μ with ε.
(mathematics)
A principle that if a theorem is true, it remains true if each object and operation is replaced by its dual; important in projective geometry and Boolean algebra.
(quantum mechanics)
References in periodicals archive ?
The same duality principle applies to accepting Russian help on the battlefield.
The Duality Principle. We say that "[??] and [perpendicular to]," "[conjunction] and [disjunction]," "F and G," "O and H," "Y and Z," "X and X itself," "U and R," and "T and S" are pairwise the dual operators.
For example, apply the duality principle to the rules (FU), (UF), (FF), and (GFG), one may get the following new rules:
According to duality principle, meshes of the voltage quadrupler are replaced with nodes, and capacitors are replaced with inductors, while diodes are with no change, yielding the proposed NCDR as shown in Figure 5(b).
According to duality principle, meshes of the voltage doubler are replaced with nodes, and capacitors are replaced with inductors, while diodes are with no change, yielding the conventional current-doubler rectifier as shown in Figure 6(b).
In the fifth section we state the Duality Principle, which is the main result of the article, and we apply it to a few examples.
Wang, On compactly supported spline wavelet and a duality principle, Trans.
He covers the basic concepts, Gaussian measures, dynamical system, Borel product-measures, invariant Borel measures, quasi-invariant Radon measures, partial analogies of Lebegues measures, essential uniqueness, the Erdos-Sierpinski duality principle, strict transivity properties, invariant extensions of Haar measures, separated families of probability measures, an Ostrogradsky formula, and generalized Fourier series.
On the basis ofthe linear systems duality principle (Kwakernaak & Sivan, 1972), one can obtain similar results for the controllability problem for the systems (1) and (10).
(1992), 'Decentralisation-Centralisation in Japanese Organisations: A Duality Principle', in Shumpei, Kumon, and Rovosky (eds.), The Political Economy of Japan, Vol.
Our feature articles this month include a fascinating look at how the yin and yang duality principle evident in medicine and philosophy can be adapted in computer science.
Duality Principles in Nonconvex Systems: Theory, Methods and Applications.