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129 results for “complex number”
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Research ArticleOpen accessEvery word in the titleTHE 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 accessEvery word in the titleOn Asymptotics of Lp Extremal Polynomials on a Complex Curve Plus an Infinite Number of PointsYamina Laskri, Rachid BenzineWe study, for all p>0 and under certain conditions the asymptotic behavior of Lp extremal polynomials with respect to the measure α=β+Y. Where, β denotes a positive Szegö measure on the closed rectifiable Jordan curve E in the complex plane and γ has an infinity of masses in the region exterior to the curve E. …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 5,986 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 keywordsGeneralized Cauchy's Models and Generalized IntegralsSabra RamadanThe space of generalized complex numbers C* has been constructed. The Cachy's model in the space of new generalized functions is well defined. The generalized integral of new generalized function over the compact K has been defined. …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 6,659 accessesView PDFCite
Research ArticleOpen accessIn the abstractIntegrated Management and Fungicide Efficacy of Foliar Diseases in Spring Wheat in KazakhstanNadira Sultanova, Yerlan Dutbayev, Gulzada Abisheva et al.Spring wheat (Triticum aestivum L.) is a key economic crop in Kazakhstan. This study aimed to identify genetic sources conferring resistance to major foliar diseases and to quantify the contribution of fungicide application to yield stability. Field experiments conducted in 2024 assessed the resistance of 36 spring wheat genotypes, 17 common wheat and 19 durum wheat (T. durum Desf.), to … …OnLine Journal of Biological Sciences, Vol. 26, Issue 2 · 17 Jul 2026 · 961 accessesView PDFCite
Research ArticleOpen accessIn the abstractComparative Characterization of Small Mammal Communities in Forest-Steppe and Steppe Landscapes of the South of Western and Central SiberiaZarina Mukhtarovna Sergazinova, Alexander Vladimirovich Makarov, Aliya Toleuzhanovna Toleuzhanova et al.This study analyzes the fauna, population, and distribution patterns of small mammals of forest-steppe and steppe landscapes of the south of Western and Central Siberia for the period between 1998 and 2021 on the basis of literature data and authors' own materials. Most of these studies were local in nature, while our work is characterized by a generalizing and comparative … …OnLine Journal of Biological Sciences, Vol. 25, Issue 1 · 4 Dec 2024 · 4,549 accessesView PDFCite
Research ArticleOpen accessIn the abstractAssessment of Breeding Qualities of Kazakh White-Headed Bulls by Testing Their ProductivityAruzhan Nugmanova, Aliya Akhmetaliyeva, Yedige Nassambayev et al.The purpose of the study was to quantify the breeding qualities of Kazakh White-Headed bulls by assessing their productivity metrics. The primary objectives were to analyze live weight dynamics, daily growth rates, feed conversion efficiency, and morphological meat quality and to employ "A" complex indices for evaluating the breeding potential. The study observed bulls aged 8-15 months at the Khafiza … …American Journal of Animal and Veterinary Sciences, Vol. 19, Issue 3 · 26 Jul 2024 · 5,407 accessesView PDFCite
Research ArticleOpen accessIn the abstractProtected, Rare and Medicinal Plant Species of the Buiratau State National Natural Park (Republic of Kazakhstan)Kulpash Dakenovna Kenzhina, Almagul Kali, Gulzhazira Turlybekova et al.The State National Natural Park (SNNP) "Buiratau" is the youngest. The purpose of our study was an independent botanical and geographical survey of the vegetation cover of the SNNP "Buiratau" and a summary of the work of botanists from Kazakhstan and Russia who worked at different times in the protected area. The results showed that depending on the geographical location … …OnLine Journal of Biological Sciences, Vol. 25, Issue 2 · 30 Apr 2025 · 5,592 accessesView PDFCite
Research ArticleOpen accessIn the abstractEidonomy of Apis mellifera Workers and Drones in ApiariesAnuarbek Temirbekovich Bissembayev, Natalia Evgenievna Zemskova, Vener Nurullovich Sattarov et al.In modern ecosystems, the increasing anthropogenic load, the absence or an insufficient number of scientifically based integrated programs and measures for the reproduction and distribution of local bee populations, as well as the preservation of their habitat territories; unsystematic hybridization leads to the transformation of the quantitative and qualitative composition of bees in the regions. In connection with the presented … …OnLine Journal of Biological Sciences, Vol. 23, Issue 2 · 16 Mar 2023 · 5,110 accessesView PDFCite
Research ArticleOpen accessIn the abstractTransverse Velocity, Transverse Boundary Shear Stress and Flow Deviation in Meandering Open ChannelsYoussef Ismail HafezThis study presents a novel approach for characterizing the mechanics of flow in mildly meandering open channels, specifically focusing on the development of a new vertical distribution equation for transverse velocity. Unlike existing equations in the literature that rely on complex logarithmic or integral forms or infinite series forms, which are impractical for hydraulic engineers, the proposed equation employs ordinary … …American Journal of Environmental Sciences, Vol. 20, Issue 1 · 25 Jul 2024 · 5,058 accessesView PDFCite