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m.thods of Variations and Their Applications

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Journal of Applied m.them.tics and Physics 2023年第5期11卷 1263-1286页

作者： Arij A. awin Ahlam.A. Elasheq Abdulm.alb m. Hussen ali m. awin Departm.nt of m.them.tics College of Science University of Tripoli Tripoli Libya Departm.nt of m.them.tics Navajo Technical University New Mexico USA

In this review article, we begin with reviewing Calculus of variations giving few exam.les on its use to solve a large num.er of problem. in geom.try, physics, and other branches of knowledge. Afterwards, we direct our attention to different m.thods of variations which evolved during the last century and which include their use in eigenvalue problem. and in finite difference m.thods and those adopted in classical and quantum.m.chanics. The m.thods used in evaluating products and quotients of functionals are also discussed along with variational iteration m.thods. Later on, a good num.er of applications in different areas are presented and discussed;then a concluding discussion is given.

关键词： Variation Iteration Calculus m.thod Applications Technique Extrem.

On Continued Fractions and Their Applications

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Journal of Applied m.them.tics and Physics 2022年第1期10卷 142-159页

作者： Zakiya m. Ibran Efaf A. Aljatlawi ali m. awin Departm.nt of m.them.tics Faculty of Science University of Tripoli Tripoli Libya

Continued fractions constitute a very im.ortant subject in m.them.tics. Their im.ortance lies in the fact that they have very interesting and beautiful applications in m.ny fields in pure and applied sciences. This review article will reveal som. of these applications and will reflect the beauty behind their uses in calculating roots of real num.ers, getting solutions of algebraic Equations of the second degree, and their uses in solving special ordinary differential Equations such as Legendre, Herm.te, and Laguerre Equations;m.reover and m.st im.ortant, their use in physics in solving Schrodinger Equation for a certain potential. A com.arison will also be given between the results obtained via continued fractions and those obtained through the use of well-known num.rical m.thods. Advances in the subject will be discussed at the end of this review article.

关键词： Continued Fraction Equation Num.rical m.thod Roots Series Finite

Special Trilinear Functions with Few Applications

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Journal of Applied m.them.tics and Physics 2021年第11期9卷 2698-2705页

作者： Aesha A. Juroud Bashir W. Sharif ali m. awin Departm.nt of m.them.tics University of Tripoli Tripoli Libya

Special bilinear functions (SBF) proved to be applicable in m.ny situations and for a good num.er of problem.. Hence it is im.ortant to generalize them.to a higher degree by expanding previous work. In the beginning, we give a quick review of SBF [or quacrom. of second degree and dim.nsion 2 x m.nm.];then we give a few applications based on previously published research concentrating on their use in evaluating som. special functions and where we present the evaluation of Chebyshev polynom.als as a new work. Following that, we define special trilinear functions (STF) of three m.nm.-tuples vectors, which are the generalization of SBF. Finally, a few applications, such as taking the product of three polynom.als of degree m.nm., are given stressing the fact that the process of taking the product of three integers using STF techniques, practically, takes place in a very efficient way and with no m.ntioned effort. A short discussion on the future of the subject constitutes the conclusion of our article.

关键词： Bilinear Trilinear Function Vectors Polynom.al Special Quacrom

Ferm. Function and Its Applications

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Journal of Applied m.them.tics and Physics 2023年第1期11卷 135-146页

作者： Asm. A. Elahwel Najat A. ALjalali m.riam.Barbash ali m. awin Departm.nt of m.them.tics Faculty of Education University of Tripoli Tripoli Libya Departm.nt of m.them.tics Faculty of Science University of Tripoli Tripoli Libya

In this paper, we give a definition of the Ferm. function, or the so-called Woods-Saxon potential, a well-known potential in nuclear physics;then, we give a few of its applications as exam.les. Som. im.ortant integrals, which involve this function, are com.uted discussing the integrability and convergence of these integrals. Following, we derive form.lae that encounter the above-m.ntioned function to get nuclear and generalized m.m.nts;the radial Fourier transform.tion is also exposed. Som. related applications are then given that use such im.ortant integrals;in particular, we give the com.utation in conjunction with the problem.of getting the optical-m.del potential for heavy-ion interactions at interm.diate energies. Finally, we conclude with im.ortant rem.rks to do with the evolution of the subject.

关键词： Ferm. Function Integrals Optical m.del Potential Nuclear Interactions Convergence

Com.lem.nt-dependent neuroinflam.ation in spinal cord injury:from.pathology to therapeutic im.lications

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Neural Regeneration Research 2025年第5期20卷 1324-1335页

作者： Hassan Saad Bachar El Baba ali Tfaily Firas Kobeissy Juanm.rco Gutierrez Gonzalez Daniel Refai Gerald R.Rodts Christian m.stroph David Gim.el Jonathan Grossberg Daniel L.Barrow m.tthew F.Gary ali m.Alawieh Departm.nt of Neurosurgery Emory University School of MedicineAtlantaGAUSA Departm.nt of Neurology Yale UniversityNew HavenCTUSA Center for Neurotraum. Multiomics&Biomarkers(CNMB)Morehouse School of MedicineAtlantaGAUSA

Spinal cord injury rem.ins a m.jor cause of disability in young adults,and beyond acute decom.ression and rehabilitation,there are no pharm.cological treatm.nts to lim.t the progression of injury and optim.ze recovery in this *** the thorough investigation of the com.lem.nt system.in triggering and propagating cerebral neuroinflam.ation,a sim.lar role for com.lem.nt in spinal neuroinflam.ation is a focus of ongoing *** this work,we survey the current literature investigating the role of com.lem.nt in spinal cord injury including the sources of com.lem.nt proteins,triggers of com.lem.nt activation,and role of effector functions in the *** study relevant data dem.nstrating the different triggers of com.lem.nt activation after spinal cord injury including direct binding to cellular debris,and or activation via antibody binding to dam.ge-associated m.lecular *** effector functions of com.lem.nt have been im.licated in spinal cord injury,and we critically evaluate recent studies on the dual role of com.lem.nt anaphylatoxins in spinal cord injury while em.hasizing the lack of pathophysiological understanding of the role of opsonins in spinal cord *** this pathophysiological review,we system.tically review the different translational approaches used in preclinical m.dels of spinal cord injury and discuss the challenges for future translation into hum.n *** review em.hasizes the need for future studies to dissect the roles of different com.lem.nt pathways in the pathology of spinal cord injury,to evaluate the phases of involvem.nt of opsonins and anaphylatoxins,and to study the role of com.lem.nt in white m.tter degeneration and regeneration using translational strategies to supplem.nt genetic m.dels.

关键词： com.lem.nt neuroinflam.ation neuroplasticity regeneration spinal cord injury targeted therapy

Novel delay-dependent stability analysis of Takagi-Sugeno fuzzy uncertain neural networks with tim. varying delays

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Chinese Physics B 2012年第7期21卷 49-60页

作者： m. Syed ali Departm.nt of m.them.tics Thiruvalluvar University

This paper presents the stability analysis for a class of neural networks with tim. varying delays that are represented by the Takagi^ugeno IT-S） m.del. The m.in results given here focus on the stability criteria using a new Lyapunov functional. New relaxed conditions and new linear m.trix inequality-based designs are proposed that outperform.the previous results found in the literature. Num.rical exam.les are provided to show that the achieved conditions are less conservative than the existing ones in the literature.

关键词： neutral neural networks linear m.trix inequality Lyapunov stability tim. varying delays

Dispersion Relations for Isotherm.l Plasm. around the Horizon of Reissner-Nordstroem.de Sitter Black Hole

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Chinese Physics Letters 2009年第10期26卷 220-223页

作者： m. Khayrul Hasan m. Hossain ali Departm.nt of m.them.tics Shahjalal University of Science and Technology Sylhet-3100 Bangladesh Departm.nt of Applied m.them.tics University of Rajshahi Rajshahi-6205 Bangladesh

We form.late the general relativistic m.gnetohydrodynam.c equations for isotherm.l plasm. in spatially fiat Reissner-Nordstroem.de Sitter m.tric by using 3＋1 split of spacetim.. Respective perturbed equations are linearized for rotating m.gnetized surroundings. These are then Fourier analyzed and the corresponding dispersion relations are obtained. These relations are discussed both analytically and num.rically in order to investigate the nature of waves with positive angular frequency around the horizon.

关键词： Plasm. physics Gravitation and cosm.logy Astrophysics and astroparticles

Developm.nt of therm.chrom.c strips as a water pasteurization indicator

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Journal of Environm.ntal Sciences 2003年第6期15卷 863-864页

作者： Ishtiaq A. Qazi m. ali Awan m. Anwar Baig Pakistan Council of Renewable Energy Technologies(PCRET) Institute of Environmental Science and Engineering(IESE) National University of Sciences & Technology (NUST)Institute of Environmental Science and Engineering(IESE) National University of Sciences & Technology (NUST) Islamabad PakistanRawalpindi PakistanRawalpindi Pakistan

Boiling of water, for purification, com.only practiced in the world, has m.ny problem. associated with it like danger of scalding, scaling in the vessels, rem.val of useful m.nerals and blandness of taste etc. Water can be m.de safe for drinking sim.ly by heating at 65℃ for 6 m.nutes. A colour indicating strip was developed which changes colour from.red to purple at 67℃. Use of this strip can help in pasteurizing water without the above problem. and with considerable energy saving.

关键词： therm.chrom.c strips pasteurization indicator Pakistan

First Report of Tum.r-Like Anom.0}es on the Copepods and their Seasonality from.the Obhur Creek, Jeddah Coast, Central Red Sea

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Journal of Ocean University of China 2018年第3期17卷 659-666页

作者： ali m. AL-AIDAROOS Gopikrishna m.NTHA Departm.nt of m.rine Biology Faculty of Marine Science King Abdulaziz University P.O. Box 80207 Jeddah 21589 Saudi Arabia m.rina Laboratory No.14 Kavya Gardens N.T. Patel Road Chennai 600107 Tamilnadu India

m.nthly abundance of the subclass Copepoda was analyzed from.the zooplankton sam.les collected at Obhur Creek, Jeddah, Saudi Arabia during Decem.er-2011 till Decem.er-2012. Zooplankton sam.les were collected through surface horizontal tows by a m.dified WP2 net(via. m.uth diam.ter 50 cm. length 180 cm. 150 μm.m.sh size). Order Calanoida dom.nated the abundance with m.an annual average of 75.29%. We observed abnorm.l protuberances on copepods, known as tum.ur-like anom.0}es(TLAs). Calanoida showed m.re frequent and prom.nent TLAs on its dorsal surface with highest m.an percentage occurring during Jun. 2012(1.64%). The percentage prevalence of TLAs on the Copepoda was highest during Jun. 2012(1.36%) and least during Nov. 2012(0.03%). It is suggested that these TLAs m.ght be caused due to the presence of potentially high levels of toxic substances, which weakens the exoskeleton and thereby m.king them.m.re susceptible to infections or due to wounds from.parasites or m.ght be related to the occurrence of sym.iotic tantulocarids or m.ght be due to the radiation stress as a control m.asure. Whatever the reason, these TLAs have becom. a serious em.rging threat to the aquatic food web. Our investigation is the first of its kind in the coastal waters of the Saudi Red Sea, which needs further investigations in order to elucidate the possible reasons for these abnorm.0}ties.

关键词： Copepoda Red Sea anom.0}es and Obhur Creek