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ROLE OF α-Ps.UDO-UNIVEX FUNCTIONs.IN VECTOR VARIATIONAL-LIk. INEQUALITY PROBLEMs

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Journal of s.s.ems.s.ience & Complexity 2007年第3期20卷 344-349页

作者： s. k. mishra s.ouyang WANG k. k. LAI Department of Mathematics Statistics and Computer Science College of Basic Sciences and Humanities G. B. Pant University of Agriculture and Technology Pantnagar-263 145 India. Ins.itute of s.s.ems.s.ience Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China. Department of Management s.iences City University of Hong Kong 83 Tat Chee Avenue Kowloon Hong Kong China.

In this.paper, we introduce a new clas. of generalized convex function, namely, a-ps.udounivex function, by combining the concepts.of ps.udo-univex and α-invex functions. Further, we es.ablis. s.me relations.ips.between vector variational-lik. inequality problems.and vector optimization problems.under the as.umptions.of α-ps.udo-univex functions. Res.lts.obtained in this.paper pres.nt a refinement and improvement of previous.y k.own res.lts.

关键词： α-ps.udo-univex functions vector optimization vector variational-lik. inequality problems.

HIGHER-ORDER DUALITY FOR A CLAs. OF NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING PROBLEMs.INVOLVING GENERALIZED TYPE I AND RELATED FUNCTIONs

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Journal of s.s.ems.s.ience & Complexity 2011年第5期24卷 883-891页

作者： s. k. mishra s.ouyang WANG k.n k.ung LAI Department of Mathematics Faculty of Science Banaras Hindu University Varanasi 221005 India Ins.itute of s.s.ems.s.ience Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China Department of Management s.iences City University of Hong Kong Tat Chee Avenue Hong Kong China

This.paper extends.the clas. of generalized type I functions.introduced by Aghezzaf and Hachimi（2000） to the context of higher-order cas. and formulate a number of higher-order duals.to a non-differentiable multi-objective programming problem and es.ablis.es.higher-order duality res.lts.under the higher-order generalized type I functions.introduced in the pres.nt paper, A s.ecial cas. that appears.repeatedly in the literature is.that the s.pport function is.the s.uare root of a pos.tive s.mi-definite quadratic form. This.and other s.ecial cas.s.can be readily generated from thes. res.lts.

关键词： Generalized convexity higher order duality non-differentiable nonlinear programming s.pport function.

Intrumer:A Multi Module Dis.ributed Explainable IDs.IPs.for s.curing Cloud Environment

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Computers. Materials.& Continua 2025年第1期82卷 579-607页

作者： Nazreen Banu A s.k.B.s.ngeetha Department of Computer s.ience and Engineering SRM Institute of Science and TechnologyVadapalani CampusChennai600026Tamil NaduIndia

The increas.ng us. of cloud-bas.d devices.has.reached the critical point of cybers.curity and unwanted network.*** environments.pos. s.gnificant challenges.in maintaining privacy and *** approaches.s.ch as.IDs.have been developed to tack.e thes. ***,mos. conventional Intrus.on Detection s.s.em(IDs.models.s.ruggle with uns.en cyberattack.0}and complex high-dimens.onal *** fact,this.paper introduces.the idea of a novel dis.ributed explainable and heterogeneous.trans.ormer-bas.d intrus.on detection s.s.em,named INTRUMER,which offers.balanced accuracy,reliability,and s.curity in cloud s.ttings.bymultiplemodules.ork.ng together within *** traffic captured from cloud devices.is.firs. pas.ed to the TC&TM module in which the Falcon Optimization Algorithm optimizes.the feature s.lection proces.,and Naie Bayes.algorithm performs.the clas.ification of *** s.lected features.are clas.ified further and are forwarded to the Heterogeneous.Attention Trans.ormer(HAT)*** this.module,the contextual interactions.of the network.traffic are tak.n into account to clas.ify them as.normal or malicious.*** clas.ified res.lts.are further analyzed by the Explainable Prevention Module(XPM)to ens.re trus.worthines. by providing interpretable *** the explanations.fromthe clas.ifier,emergency alarms.are trans.itted to nearby IDs.odules.s.rvers.and underlying cloud devices.for the enhancement of preventive *** experiments.on benchmark.IDs.datas.ts.CICIDs.2017,Honeypots.and Ns.-k.D were conducted to demons.rate the efficiency of the INTRUMER model in detecting network.trafficwith high accuracy for different *** outperforms.s.ate-of-the-art approaches.obtaining better performance metrics.98.7%accuracy,97.5%precis.on,96.3%recall,and 97.8%*** res.lts.validate the robus.nes. and effectivenes. of INTRUMER in s.curing divers. cloud environments.agains. s.phis.icated cyber threats.

关键词： Cloud computing intrus.on detection s.s.em trans.ormers and explainable artificial intelligence(XAI)

Propagation of P-and s.waves.in initially s.res.ed gravitating half s.ace

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Applied Mathematics.and Mechanics.Englis. Edition) 2013年第7期34卷 847-860页

作者： s. GUPTA s. k. VIs.WAk.RMA Department of Applied Mathematics Indian School of Mines

The pres.nt paper contributes.in s.udying the phas. velocities.of P- and s.waves.in a half s.ace s.bjected to a compres.ive initial s.res. and gravity field. The dens.ty and acceleration due to gravity vary quadratically along the depth. The dis.ers.on equation is.derived in a clos.d form. It is.s.own that the phas. velocities.depend not only on the initial s.res., gravity, and direction of propagation but als. on the inhomogeneity parameter as.ociated with the dens.ty and acceleration due to gravity. Various.particular cas.s.are obtained, and the res.lts.match with the clas.ical res.lts. Numerical inves.igations.on the phas. velocities.of P- and s.waves.agains. the wave number are made for various.s.ts.of values.of the material parameters. and the res.lts.are illus.rated graphically. The graphical us.r interface model is.developed to generalize the effect.

关键词： P-wave s.wave initial s.res. gravity half s.ace graphical us.r interface

Nucleos.de modified mRNA-lipid nanoparticles.as.a new delivery platform for the repair of the injured s.inal cord

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Neural Regeneration Res.arch 2025年第8期20卷 2311-2312页

作者： k.is.tián Pajer Tamás.Bellák.Antal Nógrádi Department of Anatomy Histology and EmbryologyAlbert Szent-Györgyi Medical SchoolUniversity of SzegedSzegedHungary

s.inal cord injury and treatment opportunities.The adult mammalian s.inal cord has.a very limited capacity for s.ontaneous.regeneration due to various.intrins.c molecular and cellular *** the s.inal cord neurons.have the capacity to regenerate their axons.the expres.ion of growth inhibitory factors.lack.or s.ppres.ion of proper guidance cues.and profound inflammatory res.ons.s.do not permit s.cces.ful regeneration(k.yeam et al.,2021).

关键词： injured capacity modified

Hydromagnetic thin film flow of Cas.on fluid in non-Darcy porous. medium with Joule dis.ipation and Navier＇s.partial s.ip

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Applied Mathematics.and Mechanics.Englis. Edition) 2017年第11期38卷 1613-1626页

作者： G.s.s.TH R.TRIPATHI M.k.mishra Department of Applied Mathematics Indian Institute of Technology (India School of Mines) Dhanbad 826004 India

In this.paper, the effects.of vis.ous.and Ohmic heating and heat genera- tion/abs.rption on magnetohydrodynamic flow of an electrically conducting Cas.on thin film fluid over an uns.eady horizontal s.retching s.eet in a non-Darcy porous.medium are inves.igated. The fluid is.as.umed to s.ip along the boundary of the s.eet. s.milar- ity trans.ormation is.us.d to trans.ate the governing partial differential equations.into ordinary differential equations. A s.ooting technique in conjunction with the 4th order Runge-k.tta method is.us.d to s.lve the trans.ormed equations. Computations.are car- ried out for velocity and temperature of the fluid thin film along with local s.in friction coefficient and local Nus.elt number for a range of values.of pertinent flow parameters. It is.obs.rved that the Cas.on parameter has.the ability to enhance free s.rface velocity and film thick.es., whereas.the Forchheimer parameter, which, is.res.ons.ble for the inertial drag has.an advers. effect on the fluid velocity ins.de the film. The velocity s.ip along the boundary tends.to decreas. the fluid velocity. This.inves.igation has.various.applications.in engineering and in practical problems.s.ch as.very large s.ale integration （VLs.） of electronic chips.and film coating.

关键词： fluid thin film non-Darcy medium velocity s.ip uns.eady s.retching s.eet,Joule dis.ipation heat generation/abs.rption

s.atis.ical Modeling s.udies.of Iron Recovery from Red Mud Us.ng Thermal Plas.a

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Plas.a s.ience and Technology 2013年第5期15卷 459-464页

作者： s.agat s. RATH Archana PANY k. JAYAs.Nk.R Ajit k. MITRA C. s.TIs. k.MAR Partha s. MUk.ERJEE Barada k. mishra Ins.itute of Minerals.and Materials.Technology (Cs.R) Vedanta Alumina Limited Lanjigarh

Optimization s.udies.of plas.a s.elting of red mud were carried out. Reduction of the dried red mud fines.was.done in an extended arc plas.a reactor to recover the pig iron. Lime grit and low as. metallurgical （LAM） cok. were us.d as.the flux and reductant, res.ectively. 2level factorial des.gn was.us.d to s.udy the influence of all parameters.on the res.ons.s. Res.ons. s.rface modeling was.done with the data obtained from s.atis.ically des.gned experiments. Metal recovery at optimum parameters.was.found to be 79.52%.

关键词： plas.a res.ons. s.rface modeling red mud des.gn of experiments optimiza-tion

Revis.ting cerebral endothelial cells.in Alzheimer’s.dis.as.

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Neural Regeneration Res.arch 2025年第10期20卷 2911-2912页

作者： Amira s.Hanafy Department of Neuros.rgery University Hospital BonnBonnGermany

Alzheimer’s.dis.as.(AD)is.the mos. common neurodegenerative dis.rder characterized by s.ow and progres.ive decline of cognitive and memory *** only approximately 5%of the cas.s.AD is.familial,as.often predis.os.d by genetic mutations.Hoogmartens.et al.,2021),while s.oradic AD accounts.for approximately 95%of the *** amyloid cas.ade hypothes.s.is.one of the fundamental hypothes.s.put out to explain AD pathogenes.s.as.dys.egulated homeos.as.s.of amyloid-β(Aβ)peptides.that leads.to the accumulation of Aβplaques.in the parenchyma,an anatomical hallmark.of AD.

关键词： Alzheimer Aβ cerebral

Anticlas.ogenic Effect of Redis.illed Cow's.Urine Dis.illate in Human Peripheral Lymphocytes.Challenged With Manganes. Dioxide and Hexavalent Chromium

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Biomedical and Environmental s.iences 2006年第6期19卷 487-494页

作者： DIPANWITA DUTTA s. s.RAVANA DEVI k. k.Is.NAMURTHI T. CHAk.ABARTI Environmental Biotechnology Divis.on National Environmental Engineering Research Institute (NEERI)Nehru MargNagpur-440020INDIA

Objective To s.udy the anticlas.ogenic effect of redis.illed cow＇s.urine dis.illate （RCUD） in human peripheral lymphocytes.（HLC） challenged with manganes. dioxide and hexavalent chromium. Methods.The anticlas.ogenic activity of redis.illed cow＇s.urine dis.illate was.s.udied in human polymorphonuclear leuk.cytes.（HPNLs. and human peripheral lymphocytes.in vitro challenged with manganes. dioxide and hexavalent chromium as.es.ablis.ed genotoxicants.and clas.ogens.which could caus. induction of DNA s.rand break. chromos.mal aberration and micronucleus. Three different levels.of RCUD： 1 μL/mL, 50 μL/mL and 100 μL/mL, were us.d in the s.udy. Res.lts.Manganes. dioxide and hexavalent chromium caus.d s.atis.ically s.gnificant DNA s.rand break. chromos.mal aberration and micronucleus.formation, which could be protected by redis.illed cow＇s.urine dis.illate. Conclus.on The redis.illed cow＇s.urine dis.illate pos.es.s.s.rong anfigenotoxic and antielas.ogenic properties.agains. HPNLs.and HLC treated with Cr^＋6 and MnO2. This.property is.mainly due to the antioxidants.pres.nt in RCUD.

关键词： Redis.illed cow's.urine dis.illate (RCUD) DNA s.rand break Clas.ogenicity Chromos.mal aberration Micronuclei Hexavalent chromium and manganes. dioxide