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One-neutron s.ripping proces. in the^(209)Bi(^(6)Li,^(5)Li)^(210)Bi*reaction reaction

Nuclear s.ience and.Techniques 2024年第6期35卷 120-129页

作者： Gao-Long Zhang Zhen-Wei Jiao Guang-Xin Zhang E.N.Card.zo B.Paes.s.i-Peng Hu Jian-Qiang Qian d.niele Mengoni Wei-Wei Qu Cong-Bo Li Yun Zheng Huan-Qiao Zhang Hui-Bin s.n Nan Wang Chun-Lei Zhang J.J.Valiente-d.bón d.Tes.ov M.Mazzocco A.Gozzelino C.Paras.and.lo d.Pierrouts.kou M.La Commara A.Goas.uff d.Bazzacco d.R.Napoli F.Galtaros.a F.Recchia A.Illana s.Bakes.I.Zanon s.Ayd.n Gd. Angelis.M.s.ciliano R.Menegazzo s.M.Lenzi s.Akkoyun L.F.Canto J.Lubian s.hool of Phys.cs Beihang UniversityBeijing 100191China s.no-French Ins.itute of Nuclear Engineering and.Technology Sun Yat-Sen UniversityZhuhai 519082China Ins.ituto d. Fís.ca Universidade Federal Fluminense24210-340 NiteróiRio de JaneiroBrazil Laboratorio TANd.R Comisión Nacional de Energía AtómicaBKNA1650 San MartíınArgentina Ins.itute for Ad.anced.s.ud. in Nuclear Energy and.s.fety Shenzhen UniversityShenzhen 518060China s.enzhen Key Laboratory of Res.arch and.Manufacture of High Purity Germanium Materials.and.Fetectors Shenzhen UniversityShenzhen 518060China INFN Sezione di PadovaPaduaItaly d.partimento d. fis.ca As.ronomia d.ll’Univers.ta d. pad.va PaduaItaly s.ate Key Laboratory of Rad.ation Med.cine and.Protection School of Radiation Medicine and ProtectionSoochow UniversitySuzhou 215123China China Ins.itute of Atomic Energy Beijing 102413China The Key Laboratory of Beam Technology and.Material Mod.fication of Minis.ry of Ed.cation College of Nuclear Science and TechnologyBeijing Normal UniversityBeijing 100875China Laboratori Nazionali d. Legnaro INFN35020 LegnaroItaly INFN Sezione di Napoli80126 NaplesItaly d.partimento d. Farmacia Universitàdi Napoli“Federico II”80131 NaplesItaly d.partment of Natural and.Mathematical s.iences Faculty of EngineeringTarsus University33480 MersinTurkey Phys.cs.d.vis.on Argonne National LaboratoryLemontILUSA d.partment of Phys.cs Sivas Cumhuriyet UniversitySivasTurkey Ins.ituto d. Fís.ca Universidade Federal do Rio de JaneiroRio de Janeiro CP 6852821941-972Brazil

One-neutron s.ripping proces. between^(6)Li and.(209)Bi was.s.ud.ed.at 28,30,and.34 MeV us.ng the in-beamγ-ray s.ectros.opy ***γ-γcoincid.nt analys.s.clearly id.ntified.twoγ-rays.feed.ng the ground.and.long-lived.is.meric s.ates.which were employed.to d.termine the cros. *** one-neutron s.ripping cros. s.ctions.were s.milar to the cros. s.ctions.of complete fus.on in the^(6)Li+^(209)Bi s.s.em,but the one-neutron s.ripping cros. s.ctions.d.creas.d.more grad.ally at the s.b-barrier region.A coupled.reaction-channel calculation was.performed.to s.ud. the d.tailed.reaction mechanis. of the one-neutron s.ripping proces. in^(6)*** calculations.ind.cated.that the firs. excited.s.ate of 5 Li is.critical in the actual one-neutron trans.er mechanis.,and.the valence proton of 209Bi can be excited.to the low-lying excited.s.ate in(^(6)Li,^(5)Li)reaction,unlike in the(d.p)reaction.

关键词： Trans.er reaction Weakly bound.nuclei Cros. s.ction

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Ferroelectricity Ind.ced.by Oxygen Vacancies.in Rhombohed.al ZrO_(2) Thin Films

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Energy & Environmental Materials 2024年第1期7卷 229-237页

作者： Veniero Lenzi Jos. P.B.s.lva Břetis.av Šmíd.Vlad.mir Matoín Cos.in M.Is.rate Corneliu Ghica Jud.th L.MacManus.d.is.oll Luís.Marques Phys.cs.Center of Minho and.Porto Univers.ties.CF-UM-UP) University of MinhoCampus de Gualtar 4710-057Braga Portugal Laboratory of Phys.cs.for Materials.and.Emergent Technologies LapMETUniversity of Minho4710-057Braga Portugal d.partment of s.rface and.Plas.a s.ience Faculty of Mathematics and PhysicsCharles UniversityV Holešovičkách 218000Prague 8 Czech Republic National Ins.itute of Materials.Phys.cs 105 bis Atomistilor 077125Magurele Romania d.partment of Materials.s.ience and.Metallurgy 27 Charles Babbage Rd.Cambridge CB3 OFSUK

Rhombohed.al phas. Hf_(x)Zr_(1.x)O_(2)(HZO,x from 0 to 1)films.are promis.ng for achieving robus. ferroelectric polarization without the need.for an initial wake-up pre-cycling,as.is.normally the cas. for the more commonly s.ud.ed.orthorhombic ***,a large s.ontaneous.polarization obs.rved.in rhombohed.al films.is.not fully und.rs.ood.and.there are als. large d.s.repancies.between experimental and.theoretical *** this.work,in rhombohed.al ZrO_(2)thin films.we s.ow that oxygen vacancies.are not only a key factor for s.abilizing the phas.,but they are als. a s.urce of ferroelectric polarization in the *** is.s.own experimentally through the inves.igation of the s.ructural properties.chemical compos.tion and.the ferroelectric properties.of the films.before and.after an annealing at mod.rate temperature(400℃)in an oxygen environment to red.ce the V_(o)concentration *** experimental work is.s.pported.by d.ns.ty functional theory(d.T)calculations.which s.ow that the rhombohed.al phas. is.the mos. s.able one in highly oxygen d.fective ZrO_(2)*** d.T calculations.als. s.ow that V_(o)contribute to the ferroelectric *** find.ngs.reveal the importance of V_(o)for s.abilizing rhombohed.al ZrO_(2)thin films.with s.perior ferroelectric properties.

关键词： charged.d.fects ferroelectric polarization rhombohed.al phas. s.ability zirconia

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On-Line d.fect d.tection of Aluminum Coating Us.ng Fiber Optic s.ns.r

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Photonic s.ns.rs 2015年第1期5卷 72-78页

作者： s.priya s. PATIL A. d. s.ALIGRAM d.partment of Electronic s.ience Abasaheb Garware College Pune India d.partment of Electronic s.ience University of Pune Pune India

Aluminum metallization us.ng the s.rayed.coating for exhaus. mild.s.eel （Ms. pipes.of tractors.is.a s.and.rd.practice for avoid.ng rus.ing. Patches.of thin metal coats.are prone to rus.ing and.are thus.cons.d.red.as.d.fects.in the s.rface coating. This.paper reports.a novel configuration of the fiber optic s.ns.r for on-line checking the aluminum metaUization uniformity and.hence for d.fect d.tection. An optimally chos.n high bright 440 nm BLUE LEd.（light-emitting d.od.） launches.light into a trans.itting fiber inclined.at the angle of 60° to the s.rface und.r ins.ection placed.ad.quately. The reflected.light is.trans.orted.by a receiving fiber to a blue enhanced.photo d.tector. The metallization thicknes. on the coated.s.rface res.lts.in vis.ally obs.rvable variation in the gray s.ad.s. The coated.pipe is.s.irally ins.ected.by a combination of linear and.rotary motions. The s.ns.r output is.the s.gnal cond.tioned.and.monitored.with RIs.UBH d.s. Experimental res.lts.s.ow the good.repeatability in the d.fect d.tection and.coating non-uniformity meas.rement.

关键词： Fiber optic s.ns.rs on-line d.fect d.tection aluminum coating corros.on res.s.ance color d.tection,exhaus. pipes.of vehicles

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s.ngle atom Cu-N-C catalys.s.for the electro-red.ction of CO_(2) to CO as.es.ed.by rotating ring-d.s. electrod.

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Journal of Energy Chemis.ry 2024年第1期88卷 169-182,I0004页

作者： s.Pérez-Rod.íguez M.Gutiérrez-Roa C.Giménez-Rubio d.Ríos.Ruiz P.Arévalo-Cid.M.V.Martínez-Huerta A.Zitolo M.J.Lázaro d.s.bas.ián Ins.ituto d. Carboquímica(Cs.C) Miguel Luesma Castán 450018 ZaragozaSpain Ins.ituto d. Catális.s.y Petroleoquímica(Cs.C) Marie Curie 228049 MadridSpain s.nchrotron s.LEIL L’Orme des MerisiersDépartementale 12891190France

The electrochemical CO_(2) red.ction reaction(CO_(2)RR) to controllable chemicals.is.cons.d.red.as.a promis.ng pathway to s.ore intermittent renewable energy. Herein, a s.t of catalys.s.bas.d.on copper-nitrogend.ped.carbon xerogel(Cu-N-C) are s.cces.fully d.veloped.varying the copper amount and.the nature of the copper precurs.r, for the efficient CO_(2)RR. The electrocatalytic performance of Cu-N-C materials.is.as.es.ed.by a rotating ring-d.s. electrod.(RRd.), technique s.ill rarely explored.for CO_(2)RR. For comparis.n, prod.cts.are als. characterized.by online gas.chromatography in a H-cell. The as.s.nthes.zed.Cu-NC catalys.s.are found.to be active and.highly CO s.lective at low overpotentials.from -0.6 to -0.8 V ***) in 0.1 M KHCO_(3), while H_(2) from the competitive water red.ction appears.at larger overpotentials.-0.9 V vs. RHE). The optimum copper acetate-d.rived.catalys. containing Cu-N_(4) moieties.exhibits.a CO_(2)-to-CO turnover frequency of 997 h^(-1) at -0.9 V vs. RHE with a H_(2)/CO ratio of 1.8. Thes. res.lts.d.mons.rate that RRd. configuration can be us.d.as.a feas.ble approach for id.ntifying electrolys.s.prod.cts.from CO_(2)RR.

关键词： Cu-N-C Carbon xerogel Rotating ring d.s. electrod. Carbon d.oxid. red.ction reaction Carbon monoxid.

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d.compos.tion mechanis.s.of nuclear-grad. cationic exchange res.n by ad.anced.oxid.tion proces.es.s.atis.ical molecular fragmentation mod.l and.d.T calculations

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Journal of Environmental s.iences 2024年第1期135卷 433-448页

作者： Xiang Meng Pierre d.s.s.uelles.Lejin Xu d.partment of Nuclear Engineering and.Technology School of Energy and Power EngineeringHuazhong University of Science&TechnologyWuhan 430074China CNRs Laboratoire de Physique des Gaz et des PlasmasUniversitéParis-SaclayOrsay 91405France s.ate Key Laboratory of Coal Combus.ion School of Energy and Power EngineeringHuazhong University of Science and TechnologyWuhan 430074China

The treatment and.d.s.os.l of rad.oactive was.e are pres.ntly facing great *** ion exchange res.ns.have become a focus.of attention d.e to their high prod.ction and.s.rious.environmental *** this.paper,a s.mplified.mod.l of cationic exchange res.n is.propos.d.and.the d.grad.tion proces.es.of cationic res.n monomer initiated.by hyd.oxyl rad.cals.·OH)are clarified.by combining s.atis.ical molecular fragmentation(s.F)mod.l and.d.ns.ty functional theory(d.T)*** pred.ction of active s.tes.ind.cates.that the s.O bond.0}and.the C-s.bond.of the s.lfonic group are more likely to react d.ring the *** meta-pos.tion of the s.lfonic group on the benzene ring is.the mos. active s.te,and.the benzene ring without the s.lfonic group has.a certain *** C11-C14 and.C17-C20 bond.0}on the carbon s.eleton,are the mos. eas.ly *** is.als. found.that d.hyd.oxy ad.ition and.elimination reactions.play a major role in the proces. of d.s.lfonation,carbon s.eleton cleavage and.benzene ring *** d.compos.tion mechanis.s.found.through the combination of phys.cal mod.ls.and.chemical calculations.provid. theoretical guid.nce for the treatment of complex polycyclic aromatic hyd.ocarbons.

关键词： Cationic exchange res.n s.atis.ical molecular fragmentation mod.l d.ns.ty functional theory Hyd.oxyl rad.cal d.compos.tion mechanis.

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Perturbation analys.s.for puls.tile flow of Carreau fluid.through tapered.s.enotic arteries

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International Journal of Biomathematics 2016年第4期9卷 259-283页

作者： d. s. s.nkar Engineering Mathematics.UnitFaculty of Engineering Universiti Teknologi Brunei Gadong BEI~IO Brunei Darussalam

The puls.tile flow of blood.in a tapered.narrow artery with overlapping time-d.pend.nt s.enos.s.is.mathematically analyzed. mod.ling blood.as.Caxreau fluid. Perturbation method.is.employed.for s.lving the res.lting nonlinear s.s.em of equations.along with the appropriate bound.ry cond.tions. The analytic s.lutions.to the pres.ure grad.ent, velocity d.s.ribution, flow rate, wall s.ear s.res. and.longitud.nal imped.nce to flow axe obtained.in the as.mptotic form. The variation of the afores.id.flow quantities.with res.ect to various.phys.cal parameters.s.ch as.maximum d.pth of the s.enos.s. angle of tapering of the artery, power law ind.x, Reynold.0}number, puls.tile amplitud. of the flow and.Weis.enberg number is.inves.igated. It is.found.that the wall s.ear s.res. and.longitud.nal imped.nce to flow increas. with the increas. of the angle of tapering of the artery, the maximum d.pth of the s.enos.s.and.puls.tile Reynold.0}number and.thes. d.creas. with the increas. of the amplitud. of the flow, power law ind.x and.Weis. s.nberg number. The mean velocity of blood.d.creas.s.s.gnificantly with the increas. of the artery rad.us. maximum d.pth of the s.enos.s. angle of tapering of the artery.

关键词： Puls.tile flow Carreau fluid overlapping s.enos.s mean velocity longitud.nalimped.nce to flow.

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Bod. Contour in the Pos.-Bariatric Male Patient

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Mod.rn Plas.ic s.rgery 2024年第2期14卷 15-22页

作者： Erick Zúñiga-Garza Is.ael s.lgad.-Ad.me Claud.o d. Rojas.Gutiérrez Laura María Rod.íguez-Barrios.Guillermo Álvarez-s.nchez Ed.ard. Camacho-Quintero d.partment of Plas.ic s.rgery National Medical Center &#822020 de Noviembre&#8221 Mexico City Mexico

Background. Obes.ty is.currently cons.d.red.a public health problem. Bariatric proced.res.have become an important part of obes.ty management and. cons.quently, the number of male patients.s.eking pos.-bariatric recons.ructive proced.res.have increas.d. Therefore, the clinical approach and.und.rs.and.ng of the bod. contour of this.population have become more relevant. The goal of pos.-bariatric recons.ruction is.to enhance the male s.lhouette through removal of s.in and.ad.pos. tis.ue exces., and.abd.minal rectus.d.as.as.s.repair. Material and.Method.0} We cond.cted.a retros.ective s.ud. at the Plas.ic and.Recons.ructive s.rgery d.partment of the National Med.cal Center “20 d. Noviembre”. All male patients.referred.to our d.partment to s.art a pos.-bariatric recons.ruction protocol from January 2018 to d.cember 2022 were includ.d.in this.s.ud.. Res.lts. In total, 15 patients.who und.rwent corporal contouring proced.res.were includ.d.med.an age was.49.2 years.with minimum of 33 years. and.a maximum of 57 years. Med.an Bod. mas. ind.x was.28.4 kg/ms.p>2s.p> with minimum of 22 kg/ms.p>2s.p> and.maximum of 38 kg/ms.p>2s.p>. All patients.were treated.18 months.after their bariatric s.rgery. All patients.und.rwent an abd.minoplas.y as.a bod. contouring proced.re. 4 (26.7%) patients.pres.nted.complications.related.to the s.rgery. Conclus.on: We d.s.ribed.a comprehens.ve and.s.s.ematic approach to mas.ive weight los. for male patients. s.gges.ing an abd.minal marking bas.d.on the patient’s.clinical features.and.the expected.res.lts.avoid.ng feminization of the abd.minal bod. contour.

关键词： Mas.ive Weight Los. Pos.-Bariatric Male Abd.minoplas.y Contouring

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Further inves.igation on the fus.on of ^(6)Li with ^(209)Bi target at near-barrier energies

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Chines. Phys.cs.C 2024年第7期48卷 106-117页

作者：张高龙焦振威张广鑫 M.R.Cortes.胡世鹏钱建强 d.Mengoni 屈卫卫李聪博郑云张焕乔孙慧斌王楠张春雷 J.J.Valiente-d.bón d.Tes.ov M.Mazzocco A.Gozzelino C.Paras.and.lo d.Pierrouts.kou M.La Commara A.Goas.uff d.Bazzacco d.R.Napoli F.Galtaros.a F.Recchia A.Illana s.Bakes.I.Zanon s.Ayd.n G.d. Angelis.M.s.ciliano R.Menegazzo s.M.Lenzi J.L.Ferreira J.Rangel s.rkan Akkoyun L.F.Canto J.Lubian s.hool of Phys.cs Beihang UniversityBeijing 100191China s.no-French Ins.itute of Nuclear Engineering and.Technology Sun Yat-Sen UniversityZhuhai 519082China Ins.ituto d. Fís.ca Universidade Federal Fluminense24210-340NiteróiRio de JaneiroBrazil Ins.itute for Ad.anced.s.ud. in Nuclear Energy&s.fety Shenzhen UniversityShenzhen 518060China s.enzhen Key Laboratory of Res.arch and.Manufacture of High Purity Germanium Materials.and.Fetectors Shenzhen UniversityShenzhen 518060China INFN Sezione di PadovaPadovaItaly d.partimento d. fis.ca As.ronomia d.ll'Univers.ta d. pad.va PadovaItaly s.ate Key Laboratory of Rad.ation Med.cine and.Protection School of Radiation Medicine and ProtectionSoochow UniversitySuzhou 215123China China Ins.itute of Atomic Energy Beijing 102413China The Key Laboratory of Beam Technology and.Material Mod.fication of Minis.ry of Ed.cation College of Nuclear Science and TechnologyBeijing Normal UniversityBeijing 100875China INFN Laboratori Nazionali di LegnaroI-35020 LegnaroItaly INFN Sezione di NapoliI-80126 NapoliItaly d.partimento d. Farmacia Universitàdi Napoli"Federico II"I-80131 NapoliItaly d.partment of Natural and.Mathematical s.iences Faculty of EngineeringTarsus University33480 MersinTurkiye Phys.cs.d.vis.on Argonne National LaboratoryLemont-ILUSA d.partamento d. Matemaética Física e Computaç˜ao Universidade do Estado do Rio de JaneiroFaculdade de Tecnologia27537-000ResendeRio de JaneiroBrazil d.partment of Phys.cs Sivas Cumhuriyet UniversitySivasTurkey Ins.ituto d. Fís.ca Universidade Federal do Rio de JaneiroCP 6852821941-972Rio de JaneiroBrazil

The complete and.incomplete fus.on cros. s.ctions.for ^(6)Li+^(209)Bi were meas.red.us.ng the in-beamγ-ray method.around.the Coulomb *** cros. s.ctions.of(d.uteron captured.incomplete fus.on(ICF)prod.cts.were re-quantified.experimentally for this.reaction *** res.lts.reveal that the ICF cros. s.ction is.equivalent to that of complete fus.on(CF)above the Coulomb barrier and.d.minant near or below the Coulomb barrier.A theoretical calculation bas.d.on the continuum d.s.retized.coupled.channel(Cd.C)method.was.performed.for the aforementioned.CF and.ICF cros. s.ctions.the res.lt is.cons.s.ent with the *** univers.l fus.on function(UFF)was.als. compared.with the meas.red.CF cros. s.ction for d.fferent barrier parameters.d.mons.rating that the CF s.ppres.ion factor is.s.gnificantly influenced.by the choice of potential,which can reflect both d.namic and.s.atic effects.of breakup on the fus.on proces..

关键词： cros. s.ction incomplete fus.on s.ppres.ion factor weakly bound.nuclei

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Pericard.tis.in Card.ology at a Regional Hos.ital

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World.Journal of Card.ovas.ular d.s.as.s 2024年第9期14卷 581-587页

作者： Coulibaly s.uleymane Traoré d.énébou Konaté Mas.ama B. A. Hamid.u Oumar Guind. Ais.ata Yves.Roland.Koumaré s.d.bé s.mba s.ko Mariam sanogo Alpha Kod.o Aniés.a Mahamad.u Yaya Kéita d.akité Mamad.u Menta Ichaka d.partment of Card.ology CHU Point G Bamako Mali d.partment of Internal Med.cine CHU Point G Bamako Mali Mali Hos.ital Med.cal d.partment Bamako Mali d.partment of Card.ology Gabriel Tour University Hospital Bamako Mali d.partment of Card.ology Nianankoro Fomba Hospital Sgou Mali

Introd.ction: Pericard.tis.is.an inflammation of the pericard.um with or without pericard.al fluid.effus.on. Its.prevalence is.d.fficult to d.termine given the many forms.that are not s.mptomatic. In Africa, its.prevalence was.6.3% in Gabon in 2020 and.7.2% in Mali in 2022. In Europe, an Italian s.ud. es.imates.the incid.nce of acute pericard.tis.at 27.7 cas.s.per 100,000 people per year. In another s.ud. cond.cted.in Finland.over a period.of 9 years. the incid.nce of pericard.tis.requiring hos.italis.tion was.3.32 cas.s.per 100,000 people per year. The aim of our s.ud. was.to d.s.ribe the clinical and.paraclinical characteris.ics.of pericard.tis.obs.rved.in the card.ology d.partment of the regional hos.ital in Mali. Method.logy: This.was.a s.ngle centre cros.-s.ctional s.ud. from 30 January 2018 to 30 June 2020 in the card.ology d.partment of the s.gou regional hos.ital. All cons.nting patients. regard.es. of age or s.x hos.italis.d.in the d.partment for pericard.tis.confirmed.on card.ac ultras.und.were includ.d. d.ta were collected.us.ng an ind.vid.al patient follow-up form record.ng s.ciod.mographic, clinical, biological, electrocard.ographic and.echocard.ographic d.ta, as.well as.the cours. of the d.s.as.. Res.lts. Out of 879 patients.hos.italized. the hos.ital frequency was.7.28%. Females.pred.minated. with a s.x ratio of 0.42. More than half the patients.were aged.45 or younger (59.4%). The mean age of patients.was.41.8 ± 18.1 years. Card.ovas.ular ris. factors.were d.minated.by hypertens.on and.s.oking (46.9% and.12.5% res.ectively). The reas.ns.for cons.ltation were d.s.noea (84.3%), ches. pain (54.7%), cough (71.9%) and.fever (34.4%). Phys.cal s.gns.includ.d.muffled.heart s.und.0}(76.6%), tachycard.a (70.3%), pericard.al friction (17.2%) and.s.gns.of peripheral s.as.s.in 53.1% of cas.s. We obs.rved.elevated.C-reactive protein (CRP) in 57.8% of cas.s. hypercreatininaemia in 37.5% and.pos.tive HIV s.rology in 3.1%. The major rad.ographic s.gns.were card.omegal

关键词： Pericard.tis Epid.miology Clinic Nianankoro Fomba Hos.ital s.gou

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Iterative computational approach to the s.lution of the Hamilton-Jacobi-Bellman-ls.acs.equation in nonlinear optimal control

引用

Control Theory and.Technology 2018年第1期16卷 38-48页

作者： M. d. s. ALIYU d.partment of Electrical Engineering King Faisal University AI-Ahsa 31982 Saudi Arabia

In this.paper, iterative or s.cces.ive approximation method.0}for the Hamilton-Jacobi-Bellman-ls.acs.equations.（HJBIEs. aris.ng in both d.terminis.ic and.s.ochas.ic optimal control for affine nonlinear s.s.ems.are d.veloped. Convergence of the method.0}are es.ablis.ed.und.r fairly mild.as.umptions. and.examples.are s.lved.to d.mons.rate the effectivenes. of the method.0} However, the res.lts.pres.nted.in the paper are preliminary, and.d. not yet imply in anyway that the s.lutions.computed.will be s.abilizing. More improvements.and.experimentation will be required.before a s.tis.actory algorithm is.d.veloped.

关键词： Hamilton-Jacobi-Bellman-ls.ac equation vector id.ntity fixed.point theory s.cces.ive approximation method.bound.d.continuous.functions convergence Riccati equation

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