Research ArticleOpen accessIn the abstractTHE COMPLEX STATISTICS PARADIGM AND THE LAW OF LARGE NUMBERSAbdo Abou JaoudeThe five basic axioms of Kolmogorov define the probability in the real set R and do not take into consideration the imaginary part which takes place in the complex set C, a problem that we are facing in applied mathematics. Whatever the probability distribution of the random variable in R is, the corresponding probability in the whole set C equals … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 9 Oct 2013 · 8,199 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Chaotic Block Cipher for Real-Time MultimediaN. Radha, M. VenkatesuluProblem statement: The widespread use of image, audio and video data makes media content protection increasingly necessary and important. We propose a naive approach which treats the multimedia signal to be protected as a text and use proposed encryption design to encrypt the whole data stream. Upon reception, the entire cipher text data stream would be decrypted and playback can … …Journal of Computer Science, Vol. 8, Issue 6 · 27 Apr 2012 · 7,306 accessesView PDFCite
Research ArticleOpen accessIn the abstractApplication of Theories of Complexity and Chaos to Economic MisgovernancePartha Gangopadhyay, Nasser Elkanj, Mustafa A. RahmanProblem statement: In this study we develop a comprehensive model involving local taxes, intergovernmental transfers and bureaucratic corruption to characterize a fiscal equilibrium in order to explain the provision of local (public) expenditure in developing nations. The main goal of the research is to explain economic misgovernance as an equilibrium phenomenon, which is therefore expected to persist over time despite … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 27 Jul 2011 · 7,375 accessesView PDFCite
Research ArticleOpen accessIn the abstractSeller Concentration in the Grain Milling IndustryMartin Charumbira, Tafirenyika SundeProblem statement: The main purpose of the study was to explore the levels of concentration in Zimbabwe’s grain-milling industry during period 1985-2005. The study could not be extended to periods after 2005 because the situation in the country had become economically chaotic. Approach: The methodology adopted involved the calculation of the concentration indices such as the Herfindall-Hirschman index, Hannah and … …American Journal of Economics and Business Administration, Vol. 2, Issue 3 · 30 Sep 2010 · 7,502 accessesView PDFCite
Research ArticleOpen accessIn the abstractEfficiency of Differential Transformation Method for Genesio SystemJafar Husni AhmadProblem statement: In this study, a continuous solution for Genesio system was considered using Differential Transformation Method (DTM). Approach: Numerical results were compared to those obtained by the Runge-Kutta method to evaluate the performance of the suggested method. Results: The accuracy of the DTM was tested as the chaotic Genesio system. Conclusion/Recommendations: It was shown that the DTM was robust, … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Jun 2009 · 7,272 accessesView PDFCite
Research ArticleOpen accessIn the abstractSystem Evolving using Ant Colony Optimization AlgorithmNada M.A. AL-SalamiProblem statement: The goal of automatic programming system is to create, in an automated way, a computer program that enables a computer to solve a problem. It is difficult to build an automatic programming system: They require carefully designed specification languages and an intimate knowledge base. Determine the relevance of mathematical system theory to the problems of automatic programming and … …Journal of Computer Science, Vol. 5, Issue 5 · 30 May 2009 · 7,516 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordChaotic Attitude Tumbling of Satellite in Magnetic FieldRashmi Bhardwaj, Parsan KaurIn this study, the half width of the chaotic separatrix has been estimated by chrikov's criterion. Through surface of section method, it has been observed that the magnetic torque parameter, the eccentricity of the orbit and the mass distribution parameter play an important in changing the regular motion into chaotic one. …American Journal of Applied Sciences, Vol. 3, Issue 10 · 31 Oct 2006 · 6,609 accessesView PDFCite