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8 articles for “imaginary set”
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Research ArticleOpen accessIn the keywordsTHE 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 keywordsPrediction in Complex Dimension Using Kolmogorov's Set of AxiomsAbdo Abou Jaoude, Khaled El-Tawil, Seifedine KadryProblem statement: The five basic axioms of Kolmogorov define the probability in the real set of numbers and do not take into consideration the imaginary part which takes place in the complex set of numbers, a problem that we are facing in many engineering systems. Approach: Evaluate the complex probabilities by considering supplementary new imaginary dimensions to the event occurring … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 8,519 accessesView PDFCite
Research ArticleOpen accessIn the abstractExtracting Unique Personal Identification Number from IrisNenad Nestorovic, P.W.C. Prasad, Abeer Alsadoon, Amr ElchouemiThe aim of this research is to propose an enhanced model that significantly reduces the noise in the iris templates and thus present an efficient and reliable iris recognition system. Accuracy of Iris recognition system significantly depends on reducing noise at every stage of recognition process especially at eye image acquisition and iris segmentation stages. The proposed Iris recognition model … …American Journal of Applied Sciences, Vol. 14, Issue 7 · 7 Jul 2017 · 8,132 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Complex Probability Paradigm and Analytic Linear Prognostic for Vehicle Suspension SystemsAbdo Abou JaoudeThe Andrey N. Kolmogorov's system of axioms can be extended to encompass the imaginary set of numbers and this by adding to his original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C which is the sum of the real set R with its corresponding real probability and … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 1 · 22 Apr 2015 · 7,474 accessesView PDFCite
Research ArticleOpen accessIn the abstractCOMPLEX PROBABILITY THEORY AND PROGNOSTICAbdo Abou JaoudeThe Kolmogorov’s system of axioms can be extended to encompass the imaginary set of numbers and this by adding to the original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C (Real set R with real probability + Imaginary set M with imaginary probability). The objective here is … …Journal of Mathematics and Statistics, Vol. 10, Issue 1 · 9 Dec 2013 · 7,586 accessesView PDFCite
Research ArticleOpen accessIn the abstractTHE THEORY OF COMPLEX PROBABILITY AND THE FIRST ORDER RELIABILITY METHODAbdo Abou JaoudeThe Kolmogorov’s system of axioms can be extended to encompass the imaginary set of numbers and this by adding to the original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C (Real set R with real probability + Imaginary set M with imaginary probability). The objective here is … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 9 Oct 2013 · 6,903 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptical Properties of Crosslinked Chitosan Thin Film with Glutaraldehyde Using Surface Plasmon Resonance TechniqueYap Wing Fen, W. Mahmood Mat Yunus, Mohd Maarof Moksin et al.Problem statement: The aim of this research is to study the optical properties of crosslinked chitosan thin film with glutaraldehyde using Surface Plasmon Resonance (SPR) technique. Approach: The crosslinked chitosan is synthesized by homogeneous reaction of medium molecular weight chitosan in aqueous acetic acid solution with glutaraldehyde as crosslinking agent. Four different amount of chitosan, i.e., 0.40, 0.50, 0.60 and … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 28 Jan 2011 · 9,624 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordTheoretical Study of the Proton Transfer in EnaminonesRita Sabah EliasProblem statement: Hydrogen bonding has a vital rule to unrevealed the nature of many different interactions both in gas phase and condensed media thus it is one of the most important concepts in chemistry. Enaminoes with their ability to form intrahydrogen bonded cheated rings represent one of the suitable compounds to study such concept. Approach: The three possible tautomers of … …American Journal of Applied Sciences, Vol. 9, Issue 1 · 23 Nov 2011 · 7,418 accessesView PDFCite