Tensor function analysis of quantized chaotic piecewise-affine pseudo-Markov systems. II. Higher order correlations and self-similarity

2002 ◽  
Vol 49 (2) ◽  
pp. 150-162 ◽  
Author(s):  
R. Rovatti ◽  
G. Mazzini
Keyword(s):  
Function Analysis ◽  
Higher Order ◽  
Tensor Function ◽  
Self Similarity ◽  
Markov Systems ◽  
Piecewise Affine

Structure function analysis of plasma density fluctuations during total loss of lock of GPS signal events

2020 ◽  
Author(s):  
Hossein Ghadjari ◽  
David Knudsen ◽  
Susan Skone
Keyword(s):  
Structure Function ◽  
Plasma Density ◽  
Large Scale ◽  
Function Analysis ◽  
Density Fluctuations ◽  
Total Loss ◽  
Small Scale ◽  
Self Similarity ◽  
Radio Signals ◽  
Swarm Mission

<p>Ionospheric irregularities are fluctuations or structures of plasma density that affect the propagation of radio signals. Whenever large-scale irregularities break up into meso and small-scale irregularities, these processes become similar to a turbulence cascade. In order to have a better comparison between this and plasma density irregularities, we study different orders of structure functions of plasma density of total loss of lock events measured with the faceplate measurements of plasma density and the GPS measurements from the Swarm mission. Total loss of lock of GPS signal is a physical proxy for severe degradation of GPS signals. In addition to different orders of structure-function, we study the existence of self-similarity or multifractality of plasma density of total loss of lock events to investigate any possible intermittent fluctuations. </p>

Personality Attributes as Discriminating Factors in Distinguishing Religio-Mystical from Paranormal Experients

1992 ◽  
Vol 11 (4) ◽  
pp. 389-406 ◽  
Author(s):  
Peter L. Nelson
Keyword(s):  
Discriminant Function ◽  
Discriminant Function Analysis ◽  
Exploratory Study ◽  
Function Analysis ◽  
Higher Order ◽  
Validity Scales ◽  
Personality Questionnaire ◽  
Personality Measures ◽  
The Past

In the first section of this article, an operationalized notion of preternatural experience is described which includes two general classes of experience: religio-mystical (Ontic) and paranormal (Perceptual). The exploratory study which follows uses the personality measures of the complete Tellegen Differential Personality Questionnaire taken from 120 subjects who reported having had spontaneous religio-mystical and/or paranormal experiences at some time in the past. The scores on all eleven primary dimensions, three higher order affect factors, and two validity scales were used individually, in univariate ANOVAs, and together, in a Direct Discriminant Function Analysis, to successfully separate two classes of preternatural experients from non-experients and from each other.

Coherence function analysis of the higher-order aberrations of the human eye

2006 ◽  
Vol 31 (2) ◽  
pp. 184 ◽  
Author(s):  
Karen M. Hampson ◽  
Edward A. Mallen ◽  
Christopher Dainty
Keyword(s):  
Function Analysis ◽  
Coherence Function ◽  
Higher Order ◽  
Higher Order Aberrations ◽  
Human Eye

Second- and higher-order resonant gratings with gain or loss-Part 1: Green's function analysis

2000 ◽  
Vol 36 (12) ◽  
pp. 1421-1430 ◽  
Author(s):  
A.M. Shams-Zadeh-Amiri ◽  
Jin Hong ◽  
Xun Li ◽  
Wei-Ping Huang
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Analysis ◽  
Higher Order

scholarly journals Self-similarity of higher-order moving averages

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
Sergio Arianos ◽  
Anna Carbone ◽  
Christian Türk
Keyword(s):  
Higher Order ◽  
Moving Averages ◽  
Self Similarity

scholarly journals SECOND ORDER DERIVATIVE SUPERSYMMETRY, q DEFORMATIONS AND THE SCATTERING PROBLEM

1995 ◽  
Vol 10 (18) ◽  
pp. 2683-2702 ◽  
Author(s):  
A.A. ANDRIANOV ◽  
M.V. IOFFE ◽  
F. CANNATA ◽  
J.-P. DEDONDER
Keyword(s):  
Quantum Mechanics ◽  
Bound States ◽  
Scattering Amplitude ◽  
Scattering Problem ◽  
Higher Order ◽  
Supersymmetric Quantum Mechanics ◽  
Self Similarity ◽  
Systematic Analysis ◽  
Higher Derivative ◽  
Reflectionless Potential

In a search for pairs of quantum systems linked by dynamical symmetries, we give a systematic analysis of novel extensions of standard one-dimensional supersymmetric quantum mechanics. The most general supercharges involving higher order derivatives are introduced, leading to an algebra which incorporates a higher order polynomial of the Hamiltonian. We investigate the condition for irreducibility of such a higher order generator to a product of standard first derivative Darboux transformations. As a new example of application of this approach we study the quantum-mechanical radial problem including the scattering amplitudes. We also investigate the links between this higher derivative SUSY and a q-deformed supersymmetric quantum mechanics and introduce the notion of self-similarity in momentum space. An explicit model for the scattering amplitude is constructed in terms of a hypergeometric function which corresponds to a reflectionless potential with infinitely many bound states.

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