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129 results for “complex number”
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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 abstractUnified Semantic Blog Mining Framework and Summarized Blog RetrievalGodfrey Winster Sathianesan, Swamynathan SankaranarayananIn today’s scenario, publishing the personal content and technical content has become very easy for the publishers, because of the readily available prominent social media called blog. Content developers, teachers, researchers post various articles relevant to their research or newly emerging topics. Blog content in one blog source may resemble the semantics of blog from other source. Readers, who are … …Journal of Computer Science, Vol. 9, Issue 2 · 2 Apr 2013 · 6,461 accessesView PDFCite
Research ArticleOpen accessIn the abstractDynamics of Coherent Structures in the Coupled Complex Ginzburg-Landau EquationsTat-Leung YeeProblem statement: In this study, we study the analytical construction of some exact solutions of a system of coupled physical differential equations, namely, the Complex Ginzburg-Landau Equations (CGLEs). CGLEs are intensively studied models of pattern formation in nonlinear dissipative media, with applications to biology, hydrodynamics, nonlinear optics, plasma physics, reaction-diffusion systems and many other fields. Approach: A system of two … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 6 Nov 2012 · 6,990 accessesView PDFCite
Research ArticleOpen accessIn the abstractProof of Analytic Extension Theorem for Zeta Function Using Abel Transformation and Euler ProductMbaitiga ZacharieProblem statement: In the prime number the Riemann zeta function is unquestionable and undisputable one of the most important questions in mathematics whose many researchers are still trying to find answer to some unsolved problems such as Riemann Hypothesis. In this study we proposed a new method that proves the analytic extension theorem for zeta function. Approach: Abel transformation was … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,923 accessesView PDFCite
Research ArticleOpen accessIn the abstractDelay Analysis and System Capacity Control for Mobile WiMAX Relay NetworksAnas F. Bayan, Tat-Chee Wan, Sureswaran RamadassProblem statement: WiMAX relay is an emerging cost effective wireless last mile solution for rural and urban broadband Internet access. Approach: One of the key concerns of WiMAX operators is how many users they can support for an access area where the number of users and the amount of data that can be delivered to the end user depends on … …Journal of Computer Science, Vol. 6, Issue 10 · 5 Aug 2010 · 7,428 accessesView PDFCite
Research ArticleOpen accessIn the abstractBheri-A Unique Example of Biological Complex SystemIndranil Mukherjee, Pranami Bhaumik, Madhusmita Mishra et al.Problem statement: This study is a unique attempt to characterize Bheri (shallow flat bottom waste water fed fishery) as a complex biological system. Approach: The characterization was done both at the qualitative and the quantitative levels. The diverse microbial community and the associated emergent behaviors resulting in integrated resource recovery by the Bheris were analyzed under the lens of complexity … …OnLine Journal of Biological Sciences, Vol. 10, Issue 1 · 30 Jun 2010 · 7,770 accessesView PDFCite
Research ArticleOpen accessIn the abstractEvaluation of Aerosol Particle Size at High Polluted Region in the World Using Direct Solar Radiation Measurements: Helwan as a Case RegionU. Ali RahomaProblem statement: Particle counting and sizing of atmospheric aerosols by electro-optical methods are complex and absolute interpretation of measurements is difficult, so, the scattered light varies in a complicated manner with the system of optics as well as with the size and physical characteristics of particles. Approach: The estimation of the air aerosol number concentration variation was carried out in … …American Journal of Environmental Sciences, Vol. 6, Issue 2 · 8 May 2010 · 6,670 accessesView PDFCite
Research ArticleOpen accessIn the abstractDifferential Diagnosis Knowledge Building by Using CUC-C4.5 FrameworkKusrini, Sri Hartati, Retantyo Wardoyo, Agus HarjokoProblem statement: The Case Based Reasoning (CBR) method can be implemented in differential diagnosis analysis. C4.5 algorithm has been commonly used to help the method's knowledge building process. This process is completed by constructing decision tree from previously handled cases data. The C4.5 algorithm itself can be used with an assumption that all the cases has an exact and equal … …Journal of Computer Science, Vol. 6, Issue 2 · 28 Feb 2010 · 8,411 accessesView PDFCite
Research ArticleOpen accessIn the abstractHardware Implementation of a Genetic Algorithm Based Canonical Singed Digit Multiplierless Fast Fourier Transform Processor for Multiband Orthogonal Frequency Division Multiplexing Ultra Wideband ApplicationsMahmud Benhamid, Masuri B. OthmanProblem statement: Ultra Wide Band (UWB) technology has attracted many researchers' attention due to its advantages and its great potential for future applications. The physical layer standard of Multi-band Orthogonal Frequency Division Multiplexing (MB-OFDM) UWB system is defined by ECMA International. In this standard, the data sampling rate from the analog-to-digital converter to the physical layer is up to 528 … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,515 accessesView PDFCite