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The physical meaning of entropy is analyzed in the context of statistical, nuclear, atomic physics and cosmology. Only the microcanonical Boltzmann entropy leads to no contradictions in several simple, elementary and for thermodynamics…

Nuclear Theory · Physics 2007-05-23 D. H. E. Gross

I present here critical comment to the recent e-print "Proximity effect in ultrafin Pb/Ag multilayers within the Cooper limit" by by O.Bourgeois, A.Frydman and R.C.Dynes, demonstrating that the interpretaion of the data presented in…

Superconductivity · Physics 2007-05-23 M. V. Feigel'man

Statistical analysis of multimodal imaging data is a challenging task, since the data involves high-dimensionality, strong spatial correlations and complex data structures. In this paper, we propose rigorous statistical testing procedures…

Methodology · Statistics 2023-03-08 Jinyuan Chang , Jing He , Jian Kang , Mingcong Wu

The problem known as multicolinearity has long been recognized to fundamentally and negatively influence multiple regression. This paper does not intend to either propose a numerical assessment of the degree to which this problem exists…

Methodology · Statistics 2023-02-14 Grayson L. Baird , Stephen L. Bieber

We show that the analysis presented in a recent comment by Coll and Ferrando \cite{comment} (qr-qc/0312058) is based on the erroneous assumption that the chemical potential and fractional concentration of a {\it mixture} of perfect fluids…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hernando Quevedo , Ruben D. Zarate

This note is a commentary on, and critique of, Andre Luiz Barbosa's paper entitled "P != NP Proof." Despite its provocative title, what the paper is seeking to do is not to prove P \neq NP in the standard sense in which that notation is…

Computational Complexity · Computer Science 2015-03-19 Lane A. Hemaspaandra , Kyle Murray , Xiaoqing Tang

I have noted a number of errors, most of them quite minor, in the {\em Encyclopedia of Cosmology} (New York and London: Garland), 1993, Norriss S. Hetherington, ed. The majority occur in my mathematically verbose article, ``Fundamental…

Astrophysics · Physics 2007-05-23 Kevin Krisciunas

We present an approach to statistical data modeling and exploratory data analysis called `LP Statistical Data Science.' It aims to generalize and unify traditional and novel statistical measures, methods, and exploratory tools. This article…

Statistics Theory · Mathematics 2014-05-13 Subhadeep Mukhopadhyay , Emanuel Parzen

A multicanonical formalism is introduced to describe statistical equilibrium of complex systems exhibiting a hierarchy of time and length scales, where the hierarchical structure is described as a set of nested "internal heat reservoirs"…

Statistical Mechanics · Physics 2012-11-15 Domingos S. P. Salazar , Giovani L. Vasconcelos

Despite the popularity of Formal Concept Analysis (FCA) as a mathematical framework for data analysis, some of its extensions are still considered arcane. Polyadic Concept Analysis (PCA) is one of the most promising yet understudied of…

Discrete Mathematics · Computer Science 2022-03-29 Alexandre Bazin , Giacomo Kahn , Camille Noûs

The work presents two algorithms of manipulation and comparison between strings whose purpose is the orthographic recognition of the apostrophe and of the compound expressions. The theory supporting general reasoning refers to the basic…

Computation and Language · Computer Science 2019-02-05 Massimiliano Polito

This is a comment on the paper : Quantum Interference between Light Sources Separated by 150 Million Kilometers by Deng et al, PHYSICAL REVIEW LETTERS 123, 080401 (2019)

Quantum Physics · Physics 2020-01-09 Shaul Mukamel

Jurimetrics: decades of history, decades to-be auspicious. A Brazilian point of view on the trajectory of this forgotten concept in the quantitative approach of the law, with code and examples in free software.

Computers and Society · Computer Science 2020-01-03 Filipe J. Zabala , Fabiano F. Silveira

We present several results, including some remarks on the Hopf Lemma.

Analysis of PDEs · Mathematics 2009-10-05 YanYan Li , Louis Nirenberg

We study the problem of parameter estimation for time-series possessing two, widely separated, characteristic time scales. The aim is to understand situations where it is desirable to fit a homogenized singlescale model to such multiscale…

Statistics Theory · Mathematics 2009-11-11 G. A. Pavliotis , A. M. Stuart

Histograms are convenient non-parametric density estimators, which continue to be used ubiquitously. Summary quantities estimated from histogram-based probability density models depend on the choice of the number of bins. We introduce a…

Data Analysis, Statistics and Probability · Physics 2013-09-17 Kevin H. Knuth

In arXiv:1108.3058v1 [nucl-ex], Arrington criticizes the Coulomb corrections we applied in the analysis of high precision form factor data (see Phys.Rev.Lett.105:242001, 2010, arXiv:1007.5076v3 [nucl-ex]). We show, by comparing different…

This paper is a corrigendum to the article 'On the ideal theorem for number fields`. The main result of this paper proves to be untrue and is replaced by an estimate of a weighted sum with an improved error term.

Number Theory · Mathematics 2020-06-25 Olivier Bordellès

In this comment we show that the eigenvalues of a quartic anharmonic oscillator obtained recently by means of the asymptotic iteration method may not be as accurate as the authors claim them to be.

Quantum Physics · Physics 2020-07-15 Francisco M. Fernández
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