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9 results for “Imaginary Number”
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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 keywordsTHE THEORY OF METARELATIVITY: BEYOND ALBERT EINSTEIN’S RELATIVITYAbdo Abou JaoudeThe theory of metarelativity is a system of equations written to take into consideration additional effects in the universe and about the matter inside it. The study begins with Albert Einstein’s theory of special relativity and it develops a system of equations which lead us to further explanations and to a new physics paradigm. Like special relativity which was created … …Physics International, Vol. 4, Issue 2 · 4 Sep 2013 · 7,741 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 abstractSmooth Formant Peak Via Discrete Tchebichef TransformNur Azman Abu, Ferda Ernawan, Fadzilah SalimWith the growth in computing power, speech recognition carries a strong potential in the near future. It has even become increasingly popular with the development of mobile devices. Presumably, mobile devices have limited computational power, memory size and battery life. In general, speech recognition operation requires heavy computation due to large samples per window used. Fast Fourier Transfom (FFT) is … …Journal of Computer Science, Vol. 11, Issue 2 · 10 Sep 2014 · 7,187 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 abstractPyritization of the Coastal Sediments in the Kelantan Plains in the Malay Peninsula during the HoloceneM.S.K. Enio, J. Shamshuddin, C.I. Fauziah, M.H.A. HusniProblem statement: For a number of geological reasons a proportion of the present coastal plains in the Malay Peninsula were inundated by seawater in the past when pyrite in some of the soils is believed to have been mineralized. Random survey of these sites showed a unique distribution and depth of pyritic layer in the soils along the coastal plains. … …American Journal of Agricultural and Biological Sciences, Vol. 6, Issue 3 · 16 Aug 2011 · 8,740 accessesView PDFCite