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The Theory of Averaging

1985
This chapter will be concerned with the theory of averaging for equations in the standard form $$\dot x = \in f\left( {t,x} \right) + { \in ^2}R\left( {t,xm \in } \right)$$
Jan A. Sanders, Ferdinand Verhulst
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Gravitation as an averaged theory

International Journal of Theoretical Physics, 1984
A result due to Eisenhart is used to justify an averaging process of a theory of gravity. More results of the theory are also deduced, similar to those derived by Einstein for the Nordstrom theory.
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AVERAGE CASE COMPLEXITY THEORY

Missouri Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Average Hamiltonian Theory

2007
The sections in this article are 1 Introduction 2 Magnus Expansion 3 Representations and Frames of Reference: Truncation 4 Applications 5 Additional Topics 6 Biographical ...
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Theory of Time-Averaged-Product Arrays

The Journal of the Acoustical Society of America, 1957
The mathematical analysis of the directional characteristics of linear additive arrays is given in a polynomial representation. The result of multiplying and taking a time average of the outputs of several detectors also has directional characteristics that may be expressed as polynomials.
A. Berman, C. S. Clay
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Averaging theory for functional differential equations

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 2002
Previous work by the authors (1997, 1998) has established new averaged models for time-dependent functional differential equations (FDE). In this paper,we present new theorems extending the existing theory to infinite time intervals and a more general class of FDE. Improvements over the classical theory are illustrated in simulations.
B. Lehman, S.P. Weibel
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Kolmogorov theory via finite-time averages

Physica D: Nonlinear Phenomena, 2005
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Foias, C.   +4 more
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Fermion-field theory and configuration averaging

Journal of Physics C: Solid State Physics, 1975
The configuration-averaging theory of Mookerjee (see abst. A38777, a43969 of 1973) using a disorder field is put here in an equivalent picture of an electron interacting with a fermion field. This provides a more physical background to the mathematically abstruse formalism and also provides a justification to the CPA and cluster cpas proposed by Bishop
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On the convergence of Z-averaged perturbation theory

The Journal of Chemical Physics, 2008
Very high order open-shell Z-averaged perturbation theory (ZAPT) energies, equilibrium bond lengths, and harmonic vibrational frequencies have been computed for a suite of small molecules using a determinantal algorithm. The convergence of ZAPTn energies is compared to alternative Møller–Plesset (MP) perturbation theories built on restricted open-shell
Steven E, Wheeler   +2 more
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On the Theory of Averaging

1976
The purpose of this paper is to present a number of recently obtained results in averaging, both in theory and in applications, and to show at the same time what kind of pitfalls there are in applying the theory to problems in dynamics.
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