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A Superposition Principle in Physics

Journal of Mathematical Physics, 1970
A superposition principle is considered both in classical mechanics and in the quantum logic approach to quantum mechanics. It is shown, roughly speaking, that in classical mechanics the only type of superposition of states is a mixture and that no pure state is a nontrivial superposition of other pure states.
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Principle of Superposition by Direction Images

IEEE Transactions on Image Processing, 2011
This paper discusses the decomposition of the image by direction images, which is based on the concept of the tensor representation and its advanced form, the paired representation. The 2-D image is considered of the size N×N, where N is prime, a power of two, and a power of odd primes.
Artyom M, Grigoryan, Nan, Du
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Superposition Principle in Composable Hybrid Automata

Fundamenta Informaticae, 2018
Hybrid automata are a well-established modelling approach. The formalism is used in many real-time and control systems engineering projects, which makes model composition an increasingly relevant topic. A well-defined composition support allows concurrent engineering activities and the validation of larger systems.
Akhundov, Jafar   +2 more
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Entropy and superposition principle

Reports on Mathematical Physics, 1977
Abstract Given a faithful normal state ϕ of a von Neumann algebra M , entropy and relative entropy for normal states of M are defined by Radon-Nikodyn derivatives of normal states with respect to ϕ. Most properties of entropy and relative entropy in finite quantum systems are shown to hold.
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Superposition Principle for KK-Theory

2013
In the present chapter, we prove a relative index type theorem that compares certain elements of the Kasparov KK-group KK(A,B). Just as the superposition principle in Chapter 2 permits one to obtain relative index theorems for elliptic operators, the theorem given here implies relative index theorems for elliptic operators over a C*-algebra B in the ...
Vladimir Nazaikinskii   +2 more
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The Causal Superposition Principle

Version 1.2 incorporates a formal response to critical feedback received following version 1.1, addressing concerns regarding derivation clarity, dimensional consistency, and functional assumptions in the proposed causal openness function C(p) and its relation to spacetime curvature.
Lille, David Justin, Memoria, Caelum
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Superposition principle in acoustics

Journal of Engineering Physics, 1982
Using the effect of the nonstationary frequency shift of acoustic waves in a medium with spatially and temporally varying properties, a theoretical estimate is made of the deviation from the superposition principle for an acoustic wave propagating in the field of another continuous plane wave.
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Superposition principle in relativistic gravity

Physica Scripta
Abstract We present a simple model for relativistic gravity. The model represents a gravitational field by a metric on a Minkowski space background. We introduce a new Lorentz-covariant metric for a single-source gravitation field, which is determined by the retarded position and the velocity of the source.
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The Principle of Superposition

2011
Suppose there are two sources of waves of a given type. For example, there may be two loudspeakers emitting sound waves or two accelerating charges emitting EM waves. What is the resultant wave? Or, suppose that two pulses are sent down a string, one after the other, so that the second pulse “collides” with the first one after the first one has been ...
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