# 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 relation thus presented is generally known in geometry as the duality principle.
Finally, in the last section, we apply the Duality Principle to the calculus of variations on time scales.
The main result of this article will be the following Duality Principle which asserts that given certain results in the nabla (resp.
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).
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.
Its broad scope also encompasses topics such as orthographic and pictorial projections, dimensional, geometrical and surface tolerancing, and the duality principle, along with numerous examples of electrical and hydraulic diagrams with symbols and applications of cams, bearings, welding and adhesives.
AUSTIN, Texas -- Duality Principle Consulting ("Duality Principle"), a recognized leader in Agile Architecture and known for delivering innovative framework-centric manufacturing solutions, announced partnership with acp-IT, a manufacturing solutions and consulting company.
Under the terms of the partnering agreement, Duality Principle will provide distribution and local integration support for the Syn@pse product suite within North America.
Duality Principles in Nonconvex Systems: Theory, Methods and Applications.

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