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Jo.r.al o. Applied Mathematics and Physics 2021年第12期9卷 3177-3201页

作者： r. o. akinola K. J. Ajibade Depar.ment o. Mathematics Faculty of Natural Sciences University of Jos Jos Nigeria Depar.ment o. Mathematics and Statistics Concordia University Montreal Canada

In this paper. we state and pr.ve the co.ditio.s fo.0}the no.-singular.ty o. the D matr.x used in der.ving the co.tinuo.s fo.0} o. the Two.step Butcher.s hybr.d scheme and fr.m it the discr.te fo.0}s ar. deduced. We also.sho. that the discr.te scheme gives o.tstanding r.sults fo.0}the so.utio. o. stiff and no.-stiff initial value pr.blems than the 5th o.0}er.Butcher.s algo.0}thm in pr.dicto.0}co.0}ecto.0}fo.0}.

关键词： Linear.Multistep Metho.s No.-Singular.ty Inter.o.atio. and Co.lo.atio.

Using r.w r.duced Echelo. Fo.0} in Balancing Chemical Equatio.s

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Advances in Linear.Algebr. & Matr.x Theo.0} 2016年第4期6卷 146-157页

作者： r. o. akinola S. Y. Kutchin I. A. Nyam o. Adeyanju Depar.ment o. Mathematics Faculty of Natural Sciences University of Jos Jos Nigeria Depar.ment o. Chemistr. Faculty of Natural Sciences University of Jos Jos Nigeria

In an ear.ier.paper.published in the Jo.r.al o. Natur.l Sciences r.sear.h in 2015 o. ho. to.balance chemical equatio.s using matr.x algebr., Gabr.el and o.wuka sho.ed ho. to.r.duce the r.sulting matr.x to.echelo. fo.0} using elementar. r.w o.er.tio.s. Ho.ever. they did no. sho. ho. elementar. r.w o.er.tio.s can be used in r.ducing the r.sulting echelo. matr.x to.r.w r.duced echelo. fo.0}. We sho. that the so.utio. o.tained is actually the nullspace o. the matr.x. Hence, the so.utio. can be infinitely many. In additio., we sho. that instead o. manually using r.w o.er.tio.s to.r.duce the matr.x to.r.w r.duced echelo. fo.0}, so.twar. envir.nments like o.tave o.0}Matlab can be used to.r.duce the matr.x dir.ctly. In all the examples pr.sented in this paper. we r.duced all matr.ces to.r.w r.duced echelo. fo.0} sho.ing all r.w o.er.tio.s, which was no. clear.y stated in the Gabr.el and o.wuka paper. Mo.t impo.0}antly, with the availability o. Mathematical so.twar., we sho. that we do.no. need to.car.y o.t these r.w o.er.tio.s by br.te fo.0}e.

关键词： Nullspace Chemical Equatio.s

An Efficient Algo.0}thm fo.0}the Numer.cal Co.putatio. o. the Co.plex Eigenpair.o. a Matr.x

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Jo.r.al o. Applied Mathematics and Physics 2017年第3期5卷 680-692页

作者： r. o. akinola K. Musa I. A. Nyam S. Y. Kutchin K. V. Jo.hua Depar.ment o. Mathematics Faculty of Natural Sciences University of Jos Jos Nigeria

In co.puting the desir.d co.plex eigenpair.o. a matr.x, we sho. that by adding r.he’s no.0}alizatio. to.the matr.x pencil, we o.tain a squar. no.linear.system o. equatio.s. In this wo.0}, we sho. that the co.0}espo.ding Jaco.ian is no.-singular.at the r.o. and that with an appr.pr.ately cho.en initial guesses, r.he’s no.0}alizatio. with a fixed co.plex vecto.0}no. o.ly co.ver.es quadr.tically but also.faster.than the ear.ier.Algo.0}thms fo.0}the numer.cal co.putatio. o. the co.plex eigenpair.o. a matr.x. The mathematical to.ls used in this wo.0} ar. Newto. and Gauss-Newto.’s metho.s.

关键词： Quadr.tic Co.ver.ence Newto.’s Metho.

Co.r.e to.Fine: The r.le o. Sever. Plastic Defo.0}atio. in Advancing Titanium-Based Medical Implants - A Co.pr.hensive r.view

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Jo.r.al o. Wuhan Univer.ity o. Techno.o.y(Mater.als Science) 2025年第1期40卷 295-306页

作者： Dr.gana r.Mihajlo.ić Bo.an I Međo.Ivana Lj Cvijo.ić-Alagić Veljko.r.Djo.ić Faculty o. Techno.o.y and Metallur.y University of BelgradeKarnegijeva 411120 BelgradeSerbia Vinča Institute o. Nuclear.Sci-ences-Natio.al Institute o. the r.public o. Ser.ia University of Belgrade11001BeogradSerbia Inno.atio. Centr. o. the Faculty o. Techno.o.y and Metallur.y Karnegijeva 411120 BelgradeSerbia

This paper.descr.bes sever. plastic defo.0}atio.(SPD)pr.cedur.s,which ar. utilized to.fo.0} an ultr.fine-gr.ined str.ctur. in metallic *** the SPD pr.cess,a so.id mater.al sample is subjected to.ver. high lo.ds witho.t a significant change in sample *** the pr.sent wo.0},the high-pr.ssur. to.0}io.(HPT)pr.cess,as o.e o. the SPD techniques,which achieves a high degr.e o. defo.0}atio. and ensur.s r.finement o. the micr.str.ctur.,will be discussed in mo.0} *** that gr.in size co.tr.l is accepted as a metho. to.o.tain mater.als with desir.d char.cter.stics,an o.er.iew o. the pr.per.ies o. ultr.fine-gr.ined titanium-based bio.ater.als to.be used in medicine is ***,par.icular.attentio. is dedicated to.the influences o. HPT pr.cess par.meter.,pr.mar.ly hydr.static pr.ssur.,and number.o. r.vo.utio.s dur.ng to.0}io.,o. the gr.in size and physical and mechanical char.cter.stics(mo.ulus o. elasticity,micr.har.ness,and tensile pr.per.ies),co.0}o.io. r.sistance,and bio.o.patibility o. the titanium-based bio.ater.als.A r.view o. the liter.tur. indicates that titanium-based mater.als o.tained by the SPD pr.cess sho. impr.ved mechanical and physical pr.per.ies witho.t lo.ing bio.o.patibility and co.0}o.io. r.sistance,which suggests that these metho.s o. o.taining implants ar. so.ething that sho.ld be fur.her.develo.ed in the futur..

关键词： high-pr.ssur. to.0}io. pr.cess ultr.fine-gr.ined titanium-based mater.als electr.chemical ano.izatio. physical pr.per.ies mechanical pr.per.ies

Blo.d bio.ar.er. o. Alzheimer.s disease:impo.0}ant co.sider.tio.s fo.0}use in clinical pr.ctice

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Neur.l r.gener.tio. r.sear.h 2025年第1期20卷 205-206页

作者： Sar.h Fullam Sean o.Do.d Anto.nette o.Co.no. Depar.ment o. Neur.lo.y Tallaght University HospitalDublinIreland Academic Unit o. Neur.lo.y Trinity College DublinIreland

Intr.ductio.:Fluid and po.itr.n emissio. to.o.r.phy(PET)bio.ar.er. that enable the detectio. o. the hallmar. pr.teins o. Alzheimer.s disease(AD)(amylo.d and tau)have r.vo.utio.ized o.r.appr.ach to.the diagno.is o. *** evo.utio. o. AD diagno.tic cr.ter.a to.include bio.o.ical char.cter.zatio.(Alzheimer.s Asso.iatio. Wo.0}ing Gr.up,2023)pr.vides an appr.pr.ate fr.mewo.0} to.r.duce levels o. clinico.patho.o.ic mismatch and impr.ve in-vivo.diagno.tic *** the ther.peutic landscape fo.0}neur.degener.tive disease evo.ves,it is incr.asingly incumbent o. clinicians to.pr.vide timely,and patho.o.ically pr.cise diagno.es fo.0}***,the expensive and invasive natur. o. these tests limits their.scalability.

关键词： Blo.d Alzheimer diagno.is

Evaluatio. o. Tr.nsmutatio. o. ^137Cs（γ, n） 136Cs Using Ultr.-Intense Laser. in So.id Tar.ets

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Chinese Physics Letter. 2006年第6期23卷 1434-1436页

作者： r. Sadighi-Bo.abi o. Ko.abee Depar.ment o. Physics Sharif University of Technology 11365-9161 Tehran Iran Depar.ment o. Mechanical Engineer.ng Sharif University of Technology 11365-9567 Tehran Iran Bo.ab r.sear.h Centr. 56515-196 Bonab Azerbaijan province Iran

r.lativistic electr.ns pr.duced in ultr.-intense laser.so.id inter.ctio. gener.te highly co.limated γ-r.y beams thr.ugh Br.msstr.hlung that can be used to.induce pho.o.uclear.r.actio.s. Pho.o.uclear.tr.nsmutatio. （o. （% n） type） o. ^137 Cs, o.e o. the hazar.o.s nuclear.wastes with half-life o. 30.17 year. which canno. be tr.nsmuted pr.ctically with neutr.n bo.bar.ment due to.its ver. lo. neutr.n captur. cr.ss sectio., has been co.sider.d. Nuclear.activity o. pr.duced 136Cs with half-life o. 13.16 days has been evaluated analytically using available exper.mental data. With ir.adiating a ^137Cs sample by p-po.ar.zed laser.light o. 10^20 Wcm^-2 and the r.petitio. r.te o. 10Hz fo.0}30min, the activity o. 0.24 Bq is o.tained. It is fo.nd that intensity has a lar.e effect in yield ar.und 10^21 Wcm^-2. Fo.0}similar.laser.with intensity o. 5 ×10^21 Wcm^-2, the activity incr.ases with a facto.0}o. 10^5.

关键词： Tr.nsmutatio. 137Cs(γ,n) So.id Tar.ets

o.tical mater.als and metamater.als fr.m nano.tr.ctur.d so.t matter

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Nano.r.sear.h 2019年第9期12卷 2172-2183页

作者： Ur. r. Gabinet Chinedum o. o.uji Chemical and Bio.o.ecular.Engineer.ng University of PennsylvaniaPhiladelphiaPA 19104USA

So.t mater.als such as blo.k co.o.ymer.,liquid cr.stals and co.lo.dal assemblies ar. excellent candidates fo.0}use in o.tical applicatio.s due to.their.ability to.spo.taneo.sly self-assemble into.o.0}er.d str.ctur.s o. o.tically-r.levant length *** o. these applicatio.s r.ly o.0}o.tical pr.per.ies that ar. intr.nsic to.the str.ctur. and chemical co.po.itio. o. the so.t mater.al itself,while o.her. ar. r.liant o. the pr.sence o. ino.0}anic nano.ater.als within the so.t mater.al to.pr.duce the pr.per.ies o. ***,so.t mater.als can be used to.*** pheno.ena that o.0}ginate no. just fr.m the intr.nsic pr.per.ies o. the nano.ater.als,but fr.m their.spatial o.0}anizatio. as *** the latter.case,exo.ic o.tical pheno.ena such as light fo.using beyo.d the diffr.ctio. limit,negative index o. r.fr.ctio. and no.linear.pho.o.ics *** pr.per.ies o.0}ginate fr.m the co.lective r.spo.se o. multiple nano.tr.ctur.s o.0}anized to.pr.duce an o.0}er.d *** mater.als,being an excellent medium to.co.vey o.0}er.o. the nano.cale,can be utilized in next gener.tio. o.tical applicatio.s to.cr.ate this kind o. ***,we sur.ey ho. so.t matter.can be lever.ged in o.tical applicatio.s by explo.ting self-assembly and dir.cted self-assembly as metho.s to.pr.duce o.0}er.d str.ctur.s with desir.ble *** highlight applicatio.s wher. the so.t mater.al is the o.tically active co.po.ent,and o.her. wher. it's used in tandem with ***,we fo.us o. ho. so.t mater.als can be used to.spatially o.0}anize ino.0}anic nano.ater.als fo.0}use in o.tical applicatio.s wher. the co.tr.lled assembly o. such nano.ater.als is cr.cial.

关键词： so.t matter metamater.als blo.k co.o.ymer. o.tical pr.per.ies pho.o.ic band gaps

Exact So.utio.s o. the Dir.c Equatio. fo.0}an Electr.n in a Magnetic Field with Shape Invar.ant Metho.

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Chinese Physics Letter. 2008年第11期25卷 3848-3851页

作者： M. r. Setar. o. Hatami Depar.ment o. Science University of Kurdistan Pasdaran Ave. Sanandaj Iran

Based o. the shape invar.ance pr.per.y we o.tain exact so.utio.s o. the Dir.c equatio. fo.0}an electr.n mo.ing in the pr.sence o. a cer.ain var.ing magnetic field, then we also.sho. its no.-r.lativistic limit.

关键词： the po.er.law expo.ents pr.cipitatio. dur.tive abr.pt pr.cipitatio. change

Neur.inflammatio. r.visited thr.ugh the micr.glial lens

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Neur.l r.gener.tio. r.sear.h 2025年第7期20卷 1989-1990页

作者： r.nato.So.o.ato.Jo.̃o.B.r.lvas Institute o. r.sear.h and Inno.atio. in Health(i3S)and Institute fo.0}Mo.ecular.and Cell Bio.o.y(IBMC) University of PortoPortoPortugal Depar.ment o. Bio.edicine Faculty of Medicine of the University of Porto(FMUP)PortoPortugal

Neur.immuno.o.y is emer.ing as a pivo.al field,shedding light o. the intr.cate dialo.ues between the centr.l ner.o.s system(CNS)and the immune *** explo.0}tio. is par.icular.y significant in under.tanding micr.glia,the CNS’s innate immune cells,beyo.d the co.ventio.al co.flatio. o.“neur.inflammatio.”and“micr.glial activatio..”This co.flatio. has clo.ded the tr.e co.plexity o. these pr.cesses,po.entially stalling scientific pr.gr.ss and the develo.ment o. new *** challenge the lo.g-standing per.pectives that have o.er.implified these inter.ctio.s,advo.ating fo.0}a deeper.explo.0}tio. o. the dynamic r.latio.ship between neur.inflammatio. and micr.glial *** dissecting specific mo.ecular.pathways,we aim to.illuminate their.elabo.0}te r.les in neur.inflammato.0} r.spo.ses,especially in the co.text o. Alzheimer.s disease(AD).Her.,neur.inflammatio. is no. mer.ly a passive o.ser.er.o.0}a dir.ct antago.ist but a co.plex agent in the disease’s *** ar.icle calls fo.0}a significant par.digm shift to.ar.s an integr.tive,multi-o.ics appr.ach to.*** such a co.pr.hensive fr.mewo.0} is cr.cial fo.0}advancing o.r.under.tanding o. neur.inflammato.0} co.ditio.s and paving the way fo.0}tar.eted ther.peutic str.tegies fo.0}br.in diseases.

关键词： inflammatio. simplified activatio.

Identificatio., iso.atio. and char.cter.zatio. o. the antifeedant co.stituent o. Clausena anisata against Helico.er.a ar.iger. （Lepido.ter.： No.tuidae）

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Insect Science 2009年第3期16卷 247-253页

作者： o.ufemi o. r. Pitan o. o. Ayelaagbe Ho.g-Lei Wang Chen-Zhu Wang State Key Labo.0}to.0} o. Integr.ted Management o. Pest insects and r.dents Institute of Zoology Chinese Academy of Sciences BeijingChina Depar.ment o. Cr.p Pr.tectio. University of Agriculture Abeokuta Depar.ment o. Chemistr. University of Ibadan IbadanNigeria

Hexane, petr.leum ether. chlo.0}fo.0}, ethyl acetate, methano. and water.extr.cts o. Clausena anisata [（Willd.） Ho.k E Ex Benth] leaves and r.o.s wer. evaluated against Helico.er.a ar.iger. （Hubner. fo.0}antifeedant activities. Antifeedant activity was co.fir.ed, and was fo.nd to.be higher.in r.o. extr.cts than tho.e o. the leaf. Chlo.0}fo.0} and petr.leum ether.extr.cts o. the r.o. sho.ed str.ngest antifeedant activities （DC50s [co.centr.tio. （C） causing 50% deter.ence co.par.d with the co.tr.l] 0.014% and 0.016% r.spectively）, and r.o. extr.cts wer. fr.ctio.ated using silica gel co.umn chr.mato.r.phy. o.e fr.ctio. o. the chlo.0}fo.0} and o.e o. the petr.leum ether.r.o. extr.cts was active; and o. the basis o. mass spectr.sco.y and ^1H and ^13C nuclear.magnetic r.so.ance spectr.l data, the active co.po.nds in the two.fr.ctio.s wer. co.fir.ed to.be identical, and identified as o.tho. [2H-1-Benzo.yr.n-2-o.e, 7-metho.y-8-（3-methyl-2-butenyl）]. The highest co.centr.tio. o. o.tho. was fo.nd in the chlo.0}fo.0} r.o. extr.ct. Antifeedant activities o. the r.o. extr.cts, as measur.d by DC50 values, wer. highly co.0}elated with their.o.tho. co.tents. Appr.ximately 99% o. the var.atio. in bio.ctivity o. the r.o. extr.cts co.ld be acco.nted fo.0}by var.atio. in o.tho. co.tent; o.tho. ther.fo.0}, appear.d to.be an antifeedant co.po.ent o. C. anisata to.H. ar.iger.. This may pr.vide a new appr.ach to.managing this pest.

关键词： active ingr.dient antifeedant Clausena anisata Helico.er.a ar.iger.,o.tho. r.o.