简介：Thetheta(t)-typeoscillatorysingularintegraloperatorshasbeendiscussed.Withthenon-negativelocallyintegrableweightedfunction,theweightednorminequalityoftheta(t)-typeoscillatorysingularintegraloperatorsisproved,andtheweightedfunctionhasreplacedbyactionofHardy-Littlewoodmaximaloperatorsseveraltimes.

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简介：ThisisoneoftheapplicationsofPart(Ⅰ),inwhichtheangularstiffness,thelateralstiffnessandthecorrespondingstressdistributionsofC-shapedbellowswerecalculated.Thebellowswasdividedintoprotrudingsectionsandconcavesectionsfortheuseofthegeneralsolution(Ⅰ),butthecontinuityofthestressresultantsandthedeformationsateachjointofthesectionswereentirelysatisfied.Thepresentresultswerecomparedwiththoseoftheothertheoriesandexperiments,andarealsotestedbythenumericallyintegralmethod.Itisshownthatthegoverningequationandthegeneralsolution(I)areveryeffective.

简介：AlaminarpremixedPropane/Airflamewithafuelequivalenceratioof2.1wasemployedforanalysisofsootparticles.Zeroth-orderIognormaldistributions(ZOLD)wereusedintheanalysisofexperimentaldistributionphenomenaatdifferentresidencetimesduringsootformationintheflame.Rayleigh'stheoryandMie'sscatteringtheorywerecombinedwithagglomerateanalysisusingscatteringandextinctiondatatodeterminethefollowingsootcharacteristics:agglomerateparameters,volumetricfractions,massflowratesandsurfacegrowthrate.Sootdensitymeasurementswerecarriedouttodeterminedensityvariationsatdifferentstagesofgrowth.Themeasuredresultsshowthatmetricfractionandmassflowrateindicatethatthesurfacegrowthrateofsootparticlesexceedstheoxidationratesintheflamestudied.Thedataobtainedinthisworkwouldbeusedtostudysootoxidationrateunderflamingcondition.