简介:Recently,ShiXianliangandHuLanpublishedthemethodofconcentrationfactorsfordeterminationofjumpsoffunctionsviaMCMconjugatewavelets.Usually,itisdiculttocalculatetheHilberttransformofgeneralwindowfunctions.TheaimofthispaperistodiscussdeterminationofjumpsforfunctionsbasedonderivativeGaborseries.Theresultswillsimplifythecalculationofjumpvalues.
简介:ThevaluedistributionofentirefunctionsdefinedbyDirichletseriesarestudiedinthispresentarticle.ItisprovedthatentirefunctionsdefinedbyDirichletserieshavethepitsproperty,whichimprovetherelativeresultsonlacunaryTaylorseriesobtainedbyLittlewoodJ.E.andOffordA.C.
简介:Inthispapertheconceptofpositivedefinitebilinearmatrixmomentfunctional.actingonthespaceofallthematrixvaluedcontinuousfunctionsdefinedonaboundedinterval[a,b],isintroduced.ThebestapproximationmatrixproblemwithrespecttosuchafunctionalissolvedintermsofmatrixFourierseries.BasicpropertiesofmatrixFourierseriessuchastheKiemann-Lebesguematrixpropertyandthebessel-parsevalmatrixinequalityareproved.Theconceptoftotalsetvjithrespecttoapositivedefinitematrixfunctionalisintroduced,andthetotallityofanorthonormalsequenceofmatrixpolynomialswithrespecttothefunctional,isestablished.
简介:ObjectiveTostudyclinicalcharacteristicsofendolymphaticsactumor(ELST)anditsdiagnosisandtreatment.MethodsELSTwasdiagnosedin6casesbasedonsurgicalandhistologicalfindings.Thesecaseswerereviewedfortheirclinicalmanifestations,differentialdiagnosisandsurgicaltreatmenttechniques.ResultsTherewere1maleand5femalesinthisgroup,agedfrom28to59years(meanage=38.7years).Thetumorwasinleftearin4casesandinrightearintheother2cases.Diseasecoursesrangedfrom5to30years(meanduration=12.6years).Clinicalpresentationsincludedsensorineuralhearingloss(n=4),otorrheaandtinnitus(n=2),tinnitusandfacialspasm(n=1),otorrheawithfacialparalysis(n=1),andhearinglosswithtinnitus(n=2).NoneofthecaseswasdiagnosedasELSTpreoperatively.Twocasesweremisdiagnosedasglomusjugularetumor,2aschronicsuppurativeotitismedia,1assweatglandadenomaonbiopsyand1astemporalbonetumor.Tumorsweresurgicallyresectedinall6casesviathemastoidectomy(n=2)orcombinedoto-cervicalorcranio-oto-cervicalapproaches(n=4).Postoperativecerebrospinalfluidotorrheaoccurredin1case.Thetumorswereconfirmedonhistologicalexaminationtobealow-gradeadenocarcinoma.Allpatientshavesurvivedatthetimeofthispaper.ConclusionELSTisrareandcommonlymisdiagnosedandinadequatelytreated.Itsprognosisisrelativelyfavorablebecauseofitsslowgrowthrate.
简介:ThispaperobtainsfunctionalmodulusofcontinuityandStrassen'sfunctionalLILoftheinfiniteseriesofindependentOrnstein-Uhlenbeckprocesses,whichalsoimplytheLevy'sexactmodulusofcontinuityandLILofthisprocessrespectively.
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简介: TheInnerMongoliaAutonomousRegionintendstousethecleangasificationprojectsasitsflagshipenterprisesinanattempttoactivelysetupanetworkofcoalchemicalplants.……
简介:WiththeaidofMullin-Rota'ssubstitutionrule,weshowthattheSheffertypedifferentialoperatorstogetherwiththedeltaoperatorsDandDcouldbeusedtoconstructapairofexpansionformulasthatimplyawidevarietyofsummationformulasinthediscreteanalysisandcombinatorics.Aconvergencetheoremisestablishedforafruitfulsourceformulathatimpliesmorethan20notedclassicalfomulasandidentitiesasconsequences.Numerousnewformulasarealsopresentedasillustrativeexamples.Finally,itisshownthatakindofliftingprocesscanbeusedtoproducecertainchainsof(∞m)degreeformulasform≥3withm≡1(mod2)andm≡1(mod3),respectively.
简介:Anewseriesof1,3,2-oxazaborolidinecatalystssubstitutedinposition4bythe(CH3)3C(CH2)ngroup(n=2,3,4,5)weresynthesizedandappliedtotheboranereductionofprochi-ralketones.Therelationshipbetweencatalyststructureandenantioselectivitywasdiscussed.
简介:AninformationtheorymethodisproposedtotesttheGrangercausalityandcontemporaneousconditionalindependenceinGrangercausalitygraphmodels.Inthegraphs,thevertexsetdenotesthecomponentseriesofthemultivariatetimeseries,andthedirectededgesdenotecausaldependence,whiletheundirectededgesreflecttheinstantaneousdependence.Thepresenceoftheedgesismeasuredbyastatisticsbasedonconditionalmutualinformationandtestedbyapermutationprocedure.Furthermore,fortheexistedrelations,astatisticsbasedonthedifferencebetweengeneralconditionalmutualinformationandlinearconditionalmutualinformationisproposedtotestthenonlinearity.Thesignificanceofthenonlinearteststatisticsisdeterminedbyabootstrapmethodbasedonsurrogatedata.Weinvestigatethefinitesamplebehavioroftheprocedurethroughsimulationtimeserieswithdifferentdependencestructures,includinglinearandnonlinearrelations.
简介:Thepresentpaperderivedtemperaturedistributionsinpowerseriesinasteadylaminarwakebehindaslenderstreamilinedheatedbodyofrevolution.Thetemperaturedistributionofthewakebehindthebodyfromx/d=2to70werefullyexploredusingarecirculatingwaterchannel.ThethermalwakepatternsbehingthebodywerevisualizedwiththeaidofinfraredpicturesandH2bubbles.