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Some Examples of Empirical Fourier Analysis in Scientific Problems [chapter]

David R. Brillinger
2011 Selected Works of David Brillinger  
Fad y Malik and Ron Vail respectively.  ...  DMS-930000 2, DMS-9625774 and the Office of Naval Research Grant NOOOI4-94-1-0042. Comments of Bob Kass a nd the referee helped improve the layout and style of the paper.  ...  General group theoretic ideas and empirical Fourier analysis have been discussed for other groups.  ... 
doi:10.1007/978-1-4614-1344-8_16 fatcat:dm2q4wx4kfaa3muogqskx2lr4y

Hybrid Evolutionary Computation for Continuous Optimization [article]

Hassan A. Bashir, Richard S. Neville
2013 arXiv   pre-print
The report proposes enhancements in: i) the evolutionary algorithm, ii) a new convergence detection mechanism was proposed; and iii) in the methods for evaluating the search directions and step sizes for  ...  Finally, a discussion of the outcomes of the initial investigation and a review of the associated challenges and inherent limitations of the proposed method is presented to complete the investigation.  ...  = x; 11: ADObj.funcDerivatives = eye(n); 12: ADObj.funcHessian = zeros(n, n, n); The following collection presents the process of overloading some basic operators and functions.  ... 
arXiv:1303.3469v1 fatcat:adao7rqvm5hs5ir5u2x3eyz4mi

Ideal spatial adaptation by wavelet shrinkage

DAVID L. DONOHO, JAIN M. JOHNSTONE
1994 Biometrika  
Relying only on the data, it comes within a factor log 2 n of the performance of piecewise polynomial and variable-knot spline methods equipped with an oracle.  ...  We d e v elop a practical spatially adaptive method, RiskShrink, which w orks by shrinkage of empirical wavelet coe cients.  ...  Figure 10 displays the results of using a Fourier-domain oracle with our four basic functions this should be compared with Figure 5 . Evidently, the Wavelet oracle is visually better in every case.  ... 
doi:10.1093/biomet/81.3.425 fatcat:74eeptwjrngdxdibopagpzahny

Ideal Spatial Adaptation by Wavelet Shrinkage

David L. Donoho, Iain M. Johnstone
1994 Biometrika  
Relying only on the data, it comes within a factor log 2 n of the performance of piecewise polynomial and variable-knot spline methods equipped with an oracle.  ...  We d e v elop a practical spatially adaptive method, RiskShrink, which w orks by shrinkage of empirical wavelet coe cients.  ...  Figure 10 displays the results of using a Fourier-domain oracle with our four basic functions this should be compared with Figure 5 . Evidently, the Wavelet oracle is visually better in every case.  ... 
doi:10.2307/2337118 fatcat:nkqfeeh7ybbrjdef4vs343xuzi

Measuring Multijet Structure of Hadronic Energy Flow or, Whatisa jet?

Fyodor V. Tkachov
1997 International Journal of Modern Physics A  
The so-called C-correlators form a basic class of such observables and fit naturally into QFT framework, allowing systematic theoretical studies. A few rules generate other C-continuous observables.  ...  Optimal stability occurs for observables possessing property of calorimetric continuity (C-continuity) predetermined by kinematical structure of calorimetric detectors.  ...  Despite the difference, the p-adic numbers share many properties with the real numbers, e.g. arithmetic operations remain continuous in the space of p-adic numbers.  ... 
doi:10.1142/s0217751x97002899 fatcat:fuke6faguzevlkszogqprgx37q

The summer meeting in Seattle

V. L. Klee Jr.
1956 Bulletin of the American Mathematical Society  
Sklar: Dirichlet series and summation formulas.  ...  Using Schwarz's lemma, the fact that | F(a) \ < 1 in V, and the "shrinking property" of the mapping ^,77->x, y one can infer bounds in terms of the first order derivatives for the second and higher order  ...  a n n [foH n iZ (xi-yi) 2 dt]mdci.  ... 
doi:10.1090/s0002-9904-1956-10067-0 fatcat:psguzmtiurgxxaranalbw7fh2y

A mathematical perspective on the phenomenology of non-perturbative Quantum Field Theory [article]

Ali Shojaei-Fard
2020 arXiv   pre-print
about the fundamental properties of elementary particles before we could reach to appropriate empirical information.  ...  X DSE belongs to a completion of H FG [[g]] with respect to the n-adic topology.  ...  as the graded Hopf subalgebra of H DSE (j) p free commutative generated algebraically by graphs X j 1 , ..., X j n (j) .  ... 
arXiv:1811.05333v3 fatcat:zjrioqvturgc7ojutvs5wo47ce

Classical Coding Approaches to Quantum Applications [article]

Narayanan Rengaswamy
2020 arXiv   pre-print
We show that the algorithm is optimal for each bit and it appears to achieve optimal performance when deciding the full transmitted message.  ...  A conscious effort has been made to keep this dissertation self-contained, by including necessary background material on quantum information and computation.  ...  Some Properties of QFD Gates and an Isomorphism Lemma 47. For v ∈ Z n 2 , any a, b, c, d ∈ Z n , and any symmetric R ∈ Z n×n 2 the following properties hold.  ... 
arXiv:2004.06834v1 fatcat:votypqfukzd3ddraax3ufyw4n4

Chapter 30 A Framework for Applied Dynamic Analysis in IO [chapter]

Ulrich Doraszelski, Ariel Pakes
2007 Handbook of Industrial Organization  
The sample paths generated by the model can be quite different depending on the primitives, and most of the extensions were designed to enable the framework to accommodate empirically relevant cases that  ...  We begin with a review of an elementary version of the framework and a report on what is known about its analytic properties. Much of the rest of the paper deals with computational issues.  ...  Pakes would like to thank his NSF grant for financial support and acknowledge the important role of Richard Ericson and Paul McGuire in developing the  ... 
doi:10.1016/s1573-448x(06)03030-5 fatcat:av6ftojqwre4tjt63ckdszh2ge

A Review on Tachyon Condensation in Open String Field Theories [article]

Kazuki Ohmori
2001 arXiv   pre-print
And we describe the attemps to construct a lower dimensional bosonic D-brane as an unstable lump solution of the string field equation.  ...  We also discuss some other topics which are related to tachyon condensation in string theory, such as the construction of a D-brane as a noncommutative soliton and some field theory models.  ...  And I am very grateful to T. Takayanagi for many discussions and useful comments. I would also like to thank Y. Matsuo, T. Kawano, S. Terashima, T. Uesugi, M. Fujii, K. Ichikawa and K.  ... 
arXiv:hep-th/0102085v4 fatcat:azjbkloe4ngdvkijgox4ybabpy

The Prediction of Tautomer Preference in Aqueous Solution (Version 1.0)

Peter Kenny
2019 Figshare  
I've also added article titles and links to the references in order to make the cited literature more accessible to readers.In the next version, I will review recent literature on tautomerism and convert  ...  As Peter's collaborator, I felt that there would be significant benefits to assembling the treatise and making it visible online.For Version 1.0, I've made some small changes to the introduction and assembled  ...  In 2-amino-s-triazole 743 however the margin is greater, and there is some evidence (section B.1.2) that 10 -20% of 743C is the usual range for other substituents also.  ... 
doi:10.6084/m9.figshare.8966276 fatcat:y7tdzlonzvakpbsaqzgabx32wi

Asymptotic Solutions of the Tetration Equation [article]

James David Nixon
2022 arXiv   pre-print
They provide a nearness to the dynamics of the map e^μ z : ℂ→ℂ and behave asymptotically as a fractional iteration would behave.  ...  Each β_λ,μ satisfies a convenient functional relationship with nested exponentials; and has a series expansion that converges in a half-plane.  ...  Arguing for the uniqueness of the β method We won't be using any deep details of elliptic functions excepting some basic properties.  ... 
arXiv:2208.05328v1 fatcat:5gb4smhekbddjgbozbycz7gz5m

White Man Got No Dreaming. Essays 1938-1973

Andrew Markus, W. E. H. Stanner
1981 Labour History  
Acknowledgments I thank Longman Group Ltd. and Mrs Valerie Wood for permission to reprint 'The Aborigines' from Some Australians Take Stock, ed. J. C.  ...  They sensibly adapted weapons, chattels and the institution of property to these basic conditions.  ...  The basic, driving, urgent needs of a shrinking, underfed, badly-doctored native population do not seem to be consistently and clearly stated anywhere in these discussions.  ... 
doi:10.2307/27508501 fatcat:jupg3qs7lve5hiorbbdla5caei

Analysis of lightweight stream ciphers

Simon Fischer
2008
The concept of algebraic immunity is then generalized by investigating the augmented function of the stream cipher.  ...  Besides efficiency, security is the most important property of a stream cipher. In this thesis, we address cryptanalysis of modern lightweight stream ciphers.  ...  Well-known examples of Type 3 are the Alternating Step Generator (see Chapter 5) , the Shrinking Generator, and the Self-Shrinking Generator, a real-world application is A5 (which is used in the GSM technology  ... 
doi:10.5075/epfl-thesis-4040 fatcat:q6x5qdgrxbdf3k4lngro7atlsm

SQUARE LAW FOR ORBITS IN EXTRA-SOLAR PLANETARY SYSTEMS

Dominguez Hills, S Trihandaru, Antun Rubči´crubˇrubčirubči´, Rubči´c, Jasna Rubči´crubˇrubčirubči´, Rubči´c
unpublished
This book, titled Quantization in Astrophysics, Brownian Motion, and Supersymmetry, is a collection of articles to large extent inspired by some less-understood empirical findings of Astrophysics and  ...  Examples in relation to these findings are small but non-vanishing cosmological constant and accelerating cosmological expansion, indication of dark matter and dark energy, the evidence for approximate  ...  Arp and K. Pavlovski for their permanent interest, suggestions and support throughout the work.  ... 
fatcat:myu24qkexba6zjopgv7yda2fbq