简介:Inthispaper,wegivesomeresultonthesimultaneousproximinalsubsetandsimultaneousChebyshevintheuniformlyconvexBanachspaceAlsowegiverelationbetweenfixedpointtheoryandsimultaneousproximity.
简介:<正>DuringthefourandhalfmonthsofmystayingattheAlbrightInstituteofArchaeologicalResearchinJerusalemandintheHebrewUniversity(01.12.2013–13.04.2014),Ihadthechancetoreadandstudysomeunpublishedcuneiformtablets.Here,IwouldliketomakeasmallcontributiontotheworkofpublishingthepreciousinformationhiddeninthecuneiformtabletsfromancientMesopotamia,andhopethatsomecolleaguescangivesomeimprovedreadingto
简介:LetP(z)beapolynomialofdegreenandforanycomplexnumberα,letDαP(z)=nP(z)+(α-z)P′(z)denotethepolarderivativeofP(z)withrespecttoα.Inthispaper,weobtaincertaininequalitiesforthepolarderivativeofapolynomialwithrestrictedzeros.Ourresultsgeneralizeandsharpensomewell-knownpolynomialinequalities.
简介:Atotalof400surfacesoil(0–15cm)sampleswerecollectedfromcultivatedsoilsrepresentingfoursoilseries,namely,Hariharapur,Debatoli,RajporaandNeeleswaraminOrissa,Jharkhand,HimachalPradeshandKeralastatesofIndia,respectively,andwereanalyzedtomeasurethecontentsoftotalandextractableMnandFe,toestablishtherelationshipamongtotalandextractableMnandFeandsoilproperties,andtocharacterizethespatialdistributionpatternofMnandFeinsomecultivatedacidsoilsofIndia.ThecontentsoftotalaswellasextractableMnandFevariedwidelywithextractantsandsoilseries.However,theamountsofMnorFeextractedbydiethylenetriaminepenta-aceticacid(DTPA),Mehlich1,Mehlich3,0.1molL-1HClandammoniumbicarbonateDTPA(ABDTPA)weresignificantlycorrelatedwitheachother(P<0.01).BasedontheDTPA-extractablecontentsandthecriticallimits(2mgMnkg-1soiland4.5mgFekg-1soil)publishedintheliterature,MnandFedeficiencieswereobservedin7%–23%and1%–3%ofthesoilsamples,respectively.Thecontentofsoilorganiccarbon(SOC)hadgreaterinfluenceontotalandDTPA-extractableFethandidsoilpH.GeostatisticalanalysisrevealedthattotalandDTPA-extractableMnandFecontentsintheacidsoilswereinfluencedbysoilpH,SOCcontent,andexchangeablecationslikepotassium,calciumandmagnesium.SpatialdistributionmapsoftotalandDTPA-extractableMnandFeinsoilindicateddifferentdistributionpatterns.
简介:
简介:Inroughsettheory,crispand/orfuzzybinaryrelationsplayanimportantroleinbothconstructiveandaxiomaticconsiderationsofvariousgeneralizedroughsets.Thispaperconsiderstheuniquenessproblemofthe(fuzzy)relationinsomegeneralizedroughsetmodel.Ourresultsshowthatbyusingtheaxiomaticapproach,the(fuzzy)relationdeterminedby(fuzzy)approximationoperatorsisuniqueinsome(fuzzy)double-universemodel.
简介:Forapolynomialp(z)ofdegreenwhichhasnozerosin|z|<1,Dewanetal.,(K.K.DewanandSunilHans,Generalizationofcertainwellknownpolynomialinequalities,J.Math.Anal.Appl.,363(2010),38–41)establishedzp′(z)+nβ2p(z)≤n2{(β2+1+β2)max|z|=1|p(z)|-(1+β2-β2)min|z|=1|p(z)|},foranycomplexnumberβwith|β|≤1and|z|=1.InthispaperweconsidertheoperatorB,whichcarriesapolynomialp(z)intoB[p(z)]:=λ0p(z)+λ1(nz2)p′(z)1!+λ2(nz2)2p′′(z)2!,whereλ0,λ1,andλ2aresuchthatallthezerosofu(z)=λ0+c(n,1)λ1z+c(n,2)λ2z2lieinthehalfplane|z|≤|z-n/2|.ByusingtheoperatorB,wepresentageneralizationofresultofDewan.Ourresultgeneralizescertainwell-knownpolynomialinequalities.
简介:ArthritisistheleadingcauseofdisabilityinolderadultsintheUnitedStates.1Osteoarthritis(OA)isthemostcommonformofarthritis,andkneeandhipthemostaffectedjoints.SomeofthecommonriskfactorsareassociatedwithkneeandhipOAincludingage,bodyweight,pastjointinjuries,andsportparticipation.Participationinstrenuoussportsincreasestherisksofinjuries.However,itisnotclearifparticipationindifferentsportspresentsdifferentrisksforOA.2Forexample,itiswellknownthatrunningincreasestheriskforkneeinjuries,butitremainsunknownifrunningisassociatedwithan
简介:AnoptimalcontrolproblemforacontrolledbackwardstochasticpartialdifferentialequationintheabstractevolutionformwithaBolzatypeperformancefunctionalisconsidered.Thecontroldomainisnotassumedtobeconvex,andallcoefficientsofthesystemareallowedtoberandom.Avariationalformulaforthefunctionalinagivencontrolprocessdirectionisderived,bytheHamiltonianandassociatedadjointsystem.Asanapplication,aglobalstochasticmaximumprincipleofPontrayginstypefortheoptimalcontrolsisestablished.