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Review ArticleOpen accessEvery word in the titleState-of-the-Art in Techniques of Text Digital Watermarking: Challenges and LimitationsNasr Addin Ahmed Salem Al-Maweri, Roslizah Ali, Wan Azizun Wan Adnan et al.Data protection from malicious attacks and misuse has become a crucial issue. Various types of data, including images, videos, audio and text documents, have given cause for the development of different methods for their protection. Cryptography, digital signatures and steganography are the most well known technologies used to protect data. During the last decade, digital watermarking technology has also been … …Journal of Computer Science, Vol. 12, Issue 2 · 19 Mar 2016 · 8,526 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleMortality among HIV-Infected Patients in Resource Limited Settings: A Case Controlled Analysis of Inpatients at a Community Care CenterNirmala Rajagopalan, Joyce B. Suchitra, Anita Shet et al.Problem statement: Despite massive national efforts to scale up Antiretroviral Therapy (ART) access in India since 2004, the AIDS death rate was 17.2 per 100,000 persons during 2003-2005. In the era of HAART in resource poor settings, it is imperative to understand and address the causes of AIDS related mortality. This collaborative study aimed at defining the predictors of mortality … …American Journal of Infectious Diseases, Vol. 5, Issue 3 · 30 Sep 2009 · 7,661 accessesView PDFCite
Research ArticleOpen accessIn the keywordsEstablishment of Readily Mathematical Formulation for the Evaluation of Slope Stability in Earth-Fill DamsSalah Saleh, Majda Ibobakr Almhdi AmerThe assessment of slope stability has been considered to be one of the most common issues to deal with by geotechnical engineers. This is due to the amount of destruction that can be brought up by the slope failure of soil masses to roads, railways, and earth dams, for example. Therefore, the stability of soil mass slopes must be carefully … …Journal of Mathematics and Statistics, Vol. 19, Issue 1 · 13 Nov 2023 · 5,181 accessesView PDFCite
Research ArticleOpen accessIn the keywordsConstructing Gibbs Measure in a Rigorous WayFarida Kachapova, Ilias KachapovEquilibrium statistical mechanics studies mathematical models for physical systems with many particles interacting with an external force and with one another. In this paper we describe an interaction model that generalizes several of these models in one model. An infinite model is constructed as the limiting case of finite interaction models, that is as a thermodynamic limit. The key point … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 29 Oct 2019 · 6,591 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAsymptotic Analysis and Convergence of Recursively Defined SequencesPaul BrackenThe asymptotic properties and limiting behavior of several distinct real sequences are determined. These sequences are defined by means of recurrence relations. Divergent and convergent sequences are discussed. It is shown methods can be found to treat both kinds producing definite knowledge with regard to the sequence. In the case of divergence, a related convergent subsequence can often be found … …Journal of Mathematics and Statistics, Vol. 22, Issue 1 · 1 Oct 2026 · 538 accessesView PDFCite
Research ArticleOpen accessIn the keywordsInteraction Model in Statistical MechanicsFarida Kachapova, Ilias KachapovStatistical mechanics considers several models such as Ising model, Potts model, Heisenberg model etc. A rigorous mathematical approach based on the axiomatic foundation of probability would benefit the study and applications of these models. In this paper we use this approach to generalize some of these models into one construction named an interaction model. We introduce a mathematically rigorous definition … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 4 Nov 2017 · 7,054 accessesView PDFCite
Research ArticleOpen accessIn the keywordsDerivation of Potentially Important Masses for Physics and Astrophysics by Dimensional AnalysisDimitar ValevThe Hubble constant has been added in addition to the three fundamental constants (speed of light, gravitational constant and Planck constant) used by Max Planck, for derivation of the Planck mass by dimensional analysis. As a result, a general solution is found for the mass dimension expression m = γp m0, where m0 ≡ mp is the Planck mass, γ … …Physics International, Vol. 8, Issue 1 · 25 Oct 2017 · 9,138 accessesView PDFCite
Research ArticleOpen accessIn the keywordsComparative Assessment of Analytical models for the ULS Resistance Verification of Structural Glass Elements under Variable LoadsChiara Bedon, Claudio AmadioThe design of glass structures, due to the intrinsic material properties, is mainly governed by the typical tensile brittle behavior of the material. In this regard, a currently open question related to the use of glass in buildings as a load-bearing constructional material, is represented by the correct estimation of static fatigue phenomena due to a generic combination of design … …American Journal of Engineering and Applied Sciences, Vol. 10, Issue 1 · 16 Mar 2017 · 7,761 accessesView PDFCite
Research ArticleOpen accessIn the keywordsConvergence of Renormalization Group Transformations of Gibbs Random FieldFarida Kachapova, Ilias KachapovStatistical mechanics describes interaction between particles of a physical system. Particle properties of the system can be modelled with a random field on a lattice and studied at different distance scales using renormalization group transformation. Here we consider a thermodynamic limit of a lattice model with weak interaction and we use semi-invariants to prove that random fields transformed by renormalization … …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 27 Jul 2016 · 7,012 accessesView PDFCite
Research ArticleOpen accessIn the keywordsBIFURCATION ANALYSIS OF EQUILIBRIUM POINT IN TWO NODE POWER SYSTEMHalima Aloui, Faouzi Bacha, Moncef GasmiThis study presents a study of bifurcation in a dynamic power system model. It becomes one of the major precautions for electricity suppliers and these systems must maintain a steady state in the neighborhood of the operating points. We study in this study the dynamic stability of two node power systems theory and the stability of limit cycles emerging from … …American Journal of Applied Sciences, Vol. 11, Issue 4 · 29 Jan 2014 · 7,055 accessesView PDFCite