简介:Foranentirefunctionf(z),letM(f,r)=maxisapolynomialofdegreen,then,ingeneral,itisdifficulttoobtainalowerboundfarM(p’,1).Butifthezerosofthepolynomialareclosetotheorigin,thenvariouslowerboundsforM(p’,1)havebeenobtainedinthepast.Inthispaper,wehaveconsideredpolynomialshavingalltheirzerosin,withapossiblezerooforderm(m>0)attheoriginandhaveobtainedalowerboundforM(p’,1),whichisbetterthanmostoftheknownlowerbounds.Ourboundissharpform=0.
简介:Themonomerofphosphorylcholinederivative,O-(5-(2-methacryloxy)-3,3-dimethyl-3-azapentyl)-O’-(ω-hydroxy-octyl)-phosphatequaternaryammoniumsalt,wasdesignedandsynthesizedsuccessfully.Itwascharacterizedbythespectraof~1HNMRandMassspectra(ESI+),andeverysignalwasassigned.Thenthelubricatingcharacteristicsofthephosphorylcholinederivativewereinvestigatedonthetribologicalsetupofball-oh-flat.TheUltra-HighMolecularWeightPolyethylene(UHMWPE)flatwasrotatedagainstastainlesssteelballwith6mmdiameter.Theloadwas2.3N,whichcorrespondedtoamaximalHertzcontactpressureof29MPa.Water,phosphorylcholinederivative,andAcrylicAcid(AA)solutionwereusedaslubricants,respectively.ComparedwithAA,thephosphorylcholinederivativeshowssignificantlubrication.Itcanbestronglyhydratedunderwaterduetothechargedsegmentinchemicalstructure.Thethickwaterlayerswithinthechainsservesasboundarylubricants,andthisisthoughttobethemolecularoriginsoflubricatingbehavior.
简介:Traditionalportfoliotheoryassumesthatthereturnrateofportfoliofollowsnormality.However,thisassumptionisnottruewhenderivativeassetsareincorporated.Inthispaperaportfolioselectionmodelisdevelopedbasedonutilityfunctionwhichcancaptureasymmetriesinrandomvariabledistributions.Otherrealisticconditionsarealsoconsidered,suchasliabilitiesandintegerdecisionvariables.Sincetheresultingmodelisacomplexmixed-integernonlinearprogrammingproblem,simulatedannealingalgorithmisappliedforitssolution.Anumericalexampleisgivenandsensitivityanalysisisconductedforthemodel.
简介:如果p(z)是都在|z上有它的零的度n的一个多项式|=k,k1,然后,它被证明[5]那$\mathop{\max}\limits_{\left|z\right|=1}\left|{p'(z)}\right|\leqslant\frac{n}{{k^{n-1}+k^n}}\mathop{\max}\limits_{\left|z\right|=1}\left|{p(z)}\right|.$\mathop{\max}\limits_{\left|z\right|=1}\left|{p'(z)}\right|\leqslant\frac{n}{{k^{n-1}+k^n}}\mathop{\max}\limits_{\left|z\right|=1}\left|{p(z)}\right|。
简介:LetP(z)beapolynomialofdegreenandforanycomplexnumberα,letDαP(z)=nP(z)+(α-z)P′(z)denotethepolarderivativeofP(z)withrespecttoα.Inthispaper,weobtaincertaininequalitiesforthepolarderivativeofapolynomialwithrestrictedzeros.Ourresultsgeneralizeandsharpensomewell-knownpolynomialinequalities.
简介:Inthispaper,wegiveaconvergencetheoremanderrorestimatesforaniterationmethodundernewKantorovitch-Ostrowskitypeconditionusingtheinformationofhigherderivativesatinitialpoints.Comparedwiththecorrespondingstudyin[3],theconvergencedeterminationisestablishedunderoneglobalcondition,insteadoftwo,onthefunction.
简介:<正>ThetruncationequationforthederivativenonlinearSchrodingerequationhasbeendis-cussedinthispaper.TheexistenceofaspecialheteroclinicorbithasbeenfoundbyusinggeometricalsingularperturbationtheorytogetherwithMelnikov’stechnique.
简介:Hybridmodelsderivedfromrotationalsolidslikecylinders,conesandsphereswereimplementedonCATIAsoftware.Firstly,maketheisoscelestriangularprism,cuboid,cylinder,cone,sphere,andtheprismwithtangentconicandcurvedtriangleends,thecuboidwithtangentcylindricalandcurvedrectangleends,thecylinderwithtangentsphericalandcurvedcircularendsasthebasicBooleandeferenceunitstotheprimarycylinders,conesandspheresonsymmetricalandsomecriticalgeometricconditions,formingaseriesofvariantsolidmodels.Secondly,makethedeferenceunitsaboveasthebasicunionunitstothemaincylinders,cones,andspheresaccordingly,forminganothersetofsolidmodels.Thirdly,makethetangentendsofunionunitsintoobliqueconic,cylindrical,orwithrevolvedtriangularpyramid,quarterlycylinderandannulusendsonsketchbasedfeaturestothemaincylinders,cones,andspheresrepeatedly,thusformingstillanothersetofsolidmodels.Itisexpectedthatthesederivativemodelsbebeneficialbothinthestructuredesign,hybridmodeling,andfiniteelementanalysisofengineeringcomponentsandincomprehensivetrainingofspatialconfigurationofengineeringgraphics.
简介:ThispaperdevelopsaclaseofquadratureformulawithfirstderivativesItisdemonstratedthatitsdegreeofaccuracyisnotlessthan2k+1forasetofdistinctnodes{x0,x1,...,xn}overinterval[a,b],andjustonly2k+1forequallyspacednodes.FarovercomingtheshortcomingofinvolvingagreatnumberofmanualcomputationsfortheintegrationrulesoftheHermitianinterpolationformula,somesimpleformulasforcomputingautomaticallyβi,γiandE[f]bycomputeraregiven,especiallyforequallyspacednodes.
简介:Inthisnote,weobtainanasymptoticestimateforthetimederivativeoftheΦ-entropyintermsofthelowerboundoftheBakry–EmeryΓ2curvature.InthecasesofhyperbolicspaceandtheHeisenberggroup(moregenerally,thenilpotentLiegroupofranktwo),weshowthatthetimederivativeoftheΦ-entropyisnon-increasingandconcaveintimet,alsowegetasharpasymptoticboundforthetimederivativeoftheentropyinthesecases.
简介:IntroductionFluoroionophoresdesignedtocomplexandrecognizecationicandanionicguestspecieshaveatractedmuchatentioninrecentyearsb...
简介:Recently,ShiXianliangandHuLanpublishedthemethodofconcentrationfactorsfordeterminationofjumpsoffunctionsviaMCMconjugatewavelets.Usually,itisdiculttocalculatetheHilberttransformofgeneralwindowfunctions.TheaimofthispaperistodiscussdeterminationofjumpsforfunctionsbasedonderivativeGaborseries.Theresultswillsimplifythecalculationofjumpvalues.