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27 results for “gamma function”
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Research ArticleOpen accessPhrase in the titleProof of Bernhard Riemann's Functional Equation using Gamma FunctionMbaïtiga ZacharieThis study shows the use of gamma function to prove the Riemann functional equation. Two approaches had been used to solve this problem: first the value of t in the definition of the gamma function had been changed to pi nu x if only if sigma is greater than zero in the complex plane. Secondly, the Poisson summation formula is … …Journal of Mathematics and Statistics, Vol. 4, Issue 3 · 30 Sep 2008 · 7,695 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn Bayesian Premium Estimators for Gamma Lindley Model under Squared Error Loss Function and Linex Loss FunctionAhmed Sadoun, Halim Zeghdoudi, Fatma Zohra Attoui, Mohamed Riad RemitaWe consider the Gamma Lindley distribution (GaL) as the conditional distribution of (X|θ,γ), we focus on the estimation of the Bayesian premium under squared error loss function (symmetric) and linear-exponential (Linex) loss function (asymmetric), using informative priors (the Gamma prior). Because of its difficulty and non-linearity, we use a numerical approximation for computing the Bayesian premium. Finally, a simulation and … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 23 Sep 2017 · 7,043 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Numerical Test on the Riemann Hypothesis with ApplicationsN. K. Oladejo, I. A. AdetundeProblem statement: The Riemann hypothesis involves two products of the zeta function ζ(s) which are: Prime numbers and the zeros of the zeta function ζ(s). It states that the zeros of a certain complex-valued function ζ (s) of a complex number s ≠ 1 all have a special form, which may be trivial or non trivial. Zeros at the negative … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 7,859 accessesView PDFCite
Review ArticleOpen accessIn the abstractThe Impact of Di-2-Ethylhexyl Phthalate (DEHP) in Focus on the Reproductive System and Toxicity in Rat or Mammalian ModelVenkataramanaiah Poli, Srinivasulu Reddy MotireddyAbsalan, F., Saremy, S., Mansouri, E., Moghadam, M. T., Moghadam, A. R. E., & Razie, G. (2016). Effects of Mono-(2-Ethylhexyl) Phthalate and Di-(2-Ethylhexyl) Phthalate Administrations on Oocyte Meiotic Maturation, Apoptosis and Gene Quantification in Mouse Model. Cell Journal, 18(4), 503–513. https://doi.org/10.22074/cellj.2016.4717 Acevedo‐Rodriguez, A., Kauffman, A. S., Cherrington, B. D., Borges, C. S., Roepke, T. A., & Laconi, M. (2018). Emerging … …American Journal of Pharmacology and Toxicology, Vol. 19, Issue 1 · 6 Jun 2024 · 12,990 accessesView PDFCite
Research ArticleOpen accessIn the abstractEffects of a Topical Composition of GABA and Microbial Chondroitin Sulfate on Mental Calmness and Brain FunctionMarco RuggieroThis article describes a novel topical composition constituted by Gamma-Aminobutyric Acid (GABA) and microbial chondroitin sulfate. This composition, formulated by the author and manufactured in a certified facility in the United States of America, exhibits potential for non-invasive intervention in anxiety management, sleep quality enhancement and promotion of brain-related functions like meditation and nonlocal consciousness. The core component comprises GABA, … …American Journal of Immunology, Vol. 19, Issue 1 · 8 Mar 2024 · 11,673 accessesView PDFCite
Research ArticleOpen accessIn the abstractPreparation of Rose Vinegar Rich in Gamma-Linolenic Acid and Analysis of its Nutritional Composition and Antioxidant ActivityYao Zhang, Qing Liu et al.Despite the rapid development of various types of fruit vinegar or nutrient-fortified vinegar, the weakened functions or high cost is still the main limiting factor for healthy vinegar. In the present study, a new type of rose vinegar was obtained from raw grain supplemented with natural extract of roses through the cooperative fermentation of multiple microorganisms by adding Mucor circinelloides … …American Journal of Biochemistry and Biotechnology, Vol. 19, Issue 3 · 8 Aug 2023 · 6,388 accessesView PDFCite
Research ArticleOpen accessIn the abstractNeurofeedback Therapy Meets Transformers: Rewiring Sleep Disorders Through AI-Driven EEG ModulationAmala Ann KA, Vaidhehi VSleep disorders such as insomnia, sleep Apnea, and hypersomnia significantly impair neurophysiological functioning, yet conventional treatments like Cognitive Behavioral Therapy for Insomnia (CBT-I) remain resource-intensive and difficult to personalize. This study introduces a novel AI-powered neurofeedback simulation framework designed to detect dysregulated EEG frequency band activity across sleep stages and simulate targeted interventions. A Transformer-based model serves as the core … …Journal of Computer Science, Vol. 22, Issue 2 · 3 Mar 2026 · 1,674 accessesView PDFCite
Research ArticleOpen accessIn the abstractEffect of Adding Cellulose on Lipid Accumulation in Cellobiohydrolase and Delta-6 Desaturase Engineered Mucor circinelloides StrainsYao Zhang, Yanxia Wang et al.Despite microbial production of multifunctional gamma-linolenic acid (GLA) being an important and promising way, the high cost is still a major factor limiting industrial applications. Previously, we proposed a novel approach to promote the production of GLA from cellulose, a widely available and cheapest resource, by overexpression of the cellobiohydrolase (CBH2) and delta-6 desaturase (D6) in Mucor circinelloides. In the … …American Journal of Biochemistry and Biotechnology, Vol. 19, Issue 3 · 13 Oct 2023 · 4,731 accessesView PDFCite
Research ArticleOpen accessIn the abstractDetermination of SVM-RBF Kernel Space Parameter to Optimize Accuracy Value of Indonesian Batik Images ClassificationAvinanta Tarigan, Dewi Agushinta, Adang Suhendra, Fikri BudimanImage retrieval using Support Vector Machine (SVM) classification verydepends on kernel function and parameter. Kernel function used by dot productsubstitution from old dimension feature to new dimension depends on imagedataset condition. In this research, parameter of Gaussian /Radial BasisFunction (RBF) kernel function is optimized using multi class non-linear SVMmethod and implemented to training and test datasets of traditional Indonesian batik … …Journal of Computer Science, Vol. 13, Issue 11 · 23 Oct 2017 · 7,530 accessesView PDFCite
Research ArticleOpen accessIn the abstractCharacterizations for the Power Inverse Gaussian and Generalized Inverse Gaussian Distributions Based on Conditional MomentsAbdullah Yahia Al-HossainIn this study, we characterize the power inverse Gaussian and generalized inverse Gaussian distributions based on recurrence relations for conditional moments in terms of hazard rate functions. Relations for conditional moments of the largest order statistic (upper record value) given the second largest order statistic (upper record value) are derived from these recurrence relations. Characterizations of the inverse Gaussian, reciprocal … …Journal of Mathematics and Statistics, Vol. 11, Issue 3 · 23 Nov 2015 · 6,865 accessesView PDFCite