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We report a microscopic simulation for the reversible AϩB CϩD reaction in its pseudo-unimolecular limit. The simulations are used to assess the validity of various approximate theories for the time dependence of the approach to... more
We report three-dimensional simulations of the reversible reaction AϩB↔C for a single static A molecule and a uniform initial concentration of noninteracting B-molecules. The results are compared with various analytic approximations for... more
This article attempts to solve the exponential Diophantine equation 23 x-19 y = ݖ z2,where x, y and z are non-negative integers using Catalan's conjecture, factorisation methods, modular arithmetic, and elementary mathematical... more
هناك عدة أطر نظرية تدعم العلاج الجماعي القائم على المحادثة؛ وللاطلاع على مراجعة لهذه النظريات الأساسية، يُرجى الرجوع إلى Elman (2007b) وDeDe وآخرين (2019). كما يمتلك هذا النوع من العلاج القدرة على تحسين التواصل وتقليل العزلة... more
The problem of extrapolation and interpolation of asymptotic series is considered. Several new variants of improving the accuracy of the self-similar approximants are suggested. The methods are illustrated by examples typical of chemical... more
Models defined by a set of conditional independence restrictions play an important role in statistical theory and applications, especially, but not only, in graphical modeling. In this paper we identify a subclass of these consisting of... more
In partial approximation spaces with Pawlakian approximation pairs, three partial membership functions are generated. These fuzzy functions rely on the lower and upper approximations of a set. They provide special type of fuzziness on the... more
The paper presents a generalization of the classical rough set theory, called the partial approximative set theory (PAST). According to Pawlak's rough set theory, the vagueness of a subset of a finite universe U is defined by the... more
A general function field methodology for estimating ocean color variables from space is applied to the retrieval of spectral marine reflectance from Global Imager (GLI) data. The top-of-atmosphere GLI reflectance vectors, after correction... more
We develop a code length principle which is invariant to the choice of parameterization on the model distributions. An invariant approximation formula for easy computation of the marginal distribution is provided for gaussian likelihood... more
The Annals of Communications in Mathematics (ISSN 2582-0818, Online) is an international peer-reviewed journal dedicated to publishing high-quality original research papers and invited survey articles in all areas of Pure and Applied... more
The Annals of Communications in Mathematics (ISSN 2582-0818, Online) is an international peer-reviewed journal dedicated to publishing high-quality original research papers and invited survey articles in all areas of Pure and Applied... more
Geometr ía discreta, topolog ía combinatoria y construcci ón de mallas Triangulaciones como gramática topológica: las operaciones (1, 3) y (1, 2) del disco a las superficies con borde Una lectura formal y operativa de cómo los movimientos... more
Kafa’ah is a concept in Islamic law that refers to compatibility or equality between a prospective husband and wife prior to marriage. In society, this concept is often interpreted as similarity in social or economic status. However, from... more
The Annals of Communications in Mathematics (ISSN 2582-0818, Online) is an international peer-reviewed journal dedicated to publishing high-quality original research papers and invited survey articles in all areas of Pure and Applied... more
Let Γ be a Dini-smooth curve in the complex plane, and let G := Int Γ . We prove some direct and inverse theorems of approximation theory by algebraic polynomials and rational functions in the weighted rearrangement invariant Smirnov... more
In this work some direct and inverse theorems of approximation theory in the weighted Smirnov-Orlicz classes, defined in the domains with a Dini-smooth boundary, are proved. In particular, a constructive characterization of the... more
Some new characterizations of the exponential distribution in the class of distributions with monotone hazard rate are obtained. The characterizations are formulated in terms of expectations of order statistics.
In this paper, an estimation of the best approximation of functions belonging to Lipschitz classes is provided.
The Annals of Communications in Mathematics (ISSN 2582-0818, Online) is an international peer-reviewed journal dedicated to publishing high-quality original research papers and invited survey articles in all areas of Pure and Applied... more
The Annals of Communications in Mathematics (ISSN 2582-0818, Online) is an international peer-reviewed journal dedicated to publishing high-quality original research papers and invited survey articles in all areas of Pure and Applied... more
The Annals of Communications in Mathematics (ISSN 2582-0818, Online) is an international peer-reviewed journal dedicated to publishing high-quality original research papers and invited survey articles in all areas of Pure and Applied... more
The Annals of Communications in Mathematics (ISSN 2582-0818, Online) is an international peer-reviewed journal dedicated to publishing high-quality original research papers and invited survey articles in all areas of Pure and Applied... more
The Annals of Communications in Mathematics (ISSN: 2582-0818 Online) is an internationally recognized peer-reviewed journal dedicated to publishing original research articles and invited survey papers across all areas of Pure and Applied... more
Often embedded programmers and application specific integrated circuit (ASIC) designers are frustrated by the inability to realize near floating-point accuracy in a fixedpoint application. The problem is not limited to function... more
Often embedded programmers and application specific integrated circuit (ASIC) designers are frustrated by the inability to realize near floating-point accuracy. in a fixed-point application. The problem is not limited to function... more
This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, re-distribution, re-selling, loan or sub-licensing, systematic supply or distribution in any form to anyone is... more
Pest infestation remains a major constraint in smallholder cocoa (Theobroma cacao L.) production, particularly in tropical agroecosystems where environmental heterogeneity can influence pest dynamics. However, the role of land type in... more
s paper investigates the performance of grounding electrodes buried in the close vieihty of small soil heterogeneity, by using 2D and 3D finite element modelling. The proposed methodology enables consideration of electrode geometry... more
Finding optimal representations of signals in higher dimensions, in particular directional representations, is currently the subject of intensive research. Since the classical wavelet transform does not provide precise directional... more
Let D be a bounded domain in the complex plane with boundary r, and let A(D) be the algebra of analytic functions on D which extend continuously to r. The distance from a function v E C(r) to A(D) is defined to be where the norm is the... more
In a recent paper of the author [A. Sidi, A new approach to vector-valued rational interpolation, J. Approx. Theory, 130 (2004) 177-187], three new interpolation procedures for vector-valued functions F (z), where F : C → C N , were... more
The power method transformation is a popular algorithm used for simulating correlated non normal continuous variates because of its simplicity and ease of execution. Statistical models may consist of continuous and (or) ranked variates.... more
The Pearson's chi-squared statistic (X 2 ) does not in general follow a chi-square distribution when it is used for goodness-of-fit testing for a multinomial distribution based on sparse contingency table data. We explore properties of... more
This paper considers the effects of informative two-stage cluster sampling on estimation and prediction. The aims of this article are twofold: first to estimate the parameters of the superpopulation model for two-stage cluster sampling... more
Bayesian estimation for the two unknown parameters and the reliability function of the exponentiated Weibull model are obtained based on generalized order statistics. Markov chain Monte Carlo (MCMC) methods are considered to compute the... more
We prove the following finite-case theorem. If the Riemann Hypothesis is false, then the set of nontrivial zeros of the Riemann zeta function off the critical line ℜ(s) = 1/2 cannot be finite and nonempty. The argument is written so that... more
Blossoming is a powerful tool for studying and computing with Bzier and B-spline curves and surfaces --- that is, for the investigation and analysis of polynomials and piecewise polynomials in geometric curves. Poisson curves are to... more
Authority flow and proximity search have been used extensively in measuring the association between entities in data graphs, ranging from the Web to relational and XML databases. These two ranking factors have been used and studied... more
Authority flow and proximity search have been used extensively in measuring the association between entities in data graphs, ranging from the Web to relational and XML databases. These two ranking factors have been used and studied... more
pur, for his invaluable supervision, encouragement, and guidance throughout the course of my doctoral studies. His patience, motivation, and profound knowledge have been a constant source of inspiration. I truly feel fortunate to have had... more
We compute the democracy functions associated with wavelet bases in general Lorentz spaces Λ q w and Λ q,∞ w , for general weights w and 0 < q < ∞.
Borislav Dechev Bojanov was born in Shemshevo, a little village just outside the beautiful central Bulgarian city of Veliko Tarnovo, of which he was so fond. Borislav took his first degree at Sofia University. He then went to Wroclaw,... more
In this concluding part of a series of papers on tetrahedral polynomial extension operators, the existence of a polynomial extension operator in the Sobolev space H(div) is proven constructively. Specifically, on any tetrahedron K, given... more
Diffraction phenomena studied in electromagnetism, acoustics, and elastodynamics are often modeled using integrals, such as the well-known Sommerfeld integral. The far field asymptotic evaluation of such integrals obtained using the... more