简介：Basedonthesecond-ordermoments,thispaperderivesananalyticalexpressionoftheM2factoroffour-petalGaussianbeam.TheresultsshowthattheM2factorisonlydeterminedbythebeamordern.Thecorrespondingnumericalcalculationsarealsogiven.Asthebeamorderincreases,theaugmentofM2factorisdisciplinary.AstheexpressionofM2factorisexpressedinseriesformandbecomesmorecomplicated,anewconciseformulaofM2factorisalsopresentedbyusingcurvefittingofnumericalcalculations.When3≤n≤200,themaximumerrorrateoffittingformulawillnotexceed2.6%andtheaverageerrorrateis0.28%.Thisresearchishelpfultotheapplicationsoffour-petalGaussianbeam.

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简介：Themainresultsareasfollows.

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简介：TheplasmaimpuritycontentsdependsstronglyontransportprocessofdiversiformimpuritywhichproductbythedistributionofimpuritiessourceandtheimpuritiesofSOLandthecoreplasmainthetokamak.Theexperimentalresultssuggestthattheconfinementimprovementisrelatedtotheincreasingrotationvelocityandtothedecreasingedgefluctuation.

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简介：Hydrogen,thecleanestandmostpromisingenergyvector,canbeproducedbysolarintochemicalenergyconversion,eitherbythephotocatalyticdirectsplittingofwaterintoH2andO2,or,moreefficiently,inthepresenceofsacrificialreagents,e.g.,intheso-calledphotoreformingoforganics.Efficientphotocatalyticmaterialsshouldnotonlybeabletoexploitsolarradiationtoproduceelectron–holepairs,butalsoensureenoughchargeseparationtoallowelectrontransferreactions,leadingtosolarenergydriventhermodynamicallyup-hillprocesses.RecentachievementsofourresearchgroupinthedevelopmentandtestingofinnovativeTiO2-basedphotocatalyticmaterialsarepresentedhere,togetherwithanoverviewonthemechanisticaspectsofwaterphotosplittingandphotoreformingoforganics.Photocatalyticmaterialswereeither（i）obtainedbysurfacemodificationofcommercialphotocatalysts,orproduced（ii）inpowderformbydifferenttechniques,includingtraditionalsolgelsynthesis,aimingatengineeringtheirelectronicstructure,andflamespraypyrolysisstartingfromorganicsolutionsoftheprecursors,or（iii）inintegratedform,toproducephotoelectrodeswithindevices,byradiofrequencymagnetronsputteringorbyelectrochemicalgrowthofnanotubearchitectures,orphotocatalyticmembranes,bysupersonicclusterbeamdeposition.

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简介：Anecessaryandsufficientconditionofregularityof(0,1,…,m-2,m)interpo-lationonthezerosoftheLaguerrepolynomialsLn(α)(x)(α≥-1)inamanageableformisestablished.Meanwhile,theexplicitrepresentationofthefundamentalpolynomials,whentheyexist,isgiven.Moreover,itisshownthat,iftheproblemof(0,1,…,m-2,TO)interpolationhasaninfinityofsolutions,thenthegeneralformofthesolutionsisf0(x)+Cf1(x)withanarbitraryconstantC.

简介：Usingtheextensionhomogeneousbalancemethod,wehaveobtainedsomenewspecialtypesofsolitonsolutionsofthe(2+1)-dimensionalKdVequation.Startingfromthehomogeneousbalancemethod,onecanobtainanonlineartransformationtosimple(2+1)-dimensionalKdVequationintoalinearpartialdifferentialequationandtwobilinearpartialdifferentialequations.Usually,onecanobtainonlyakindofsoliton-likesolutions.Inthisletter,wefindfurthersomespecialtypesofthemultisolitonsolutionsfromthelinearandbilinearpartialdifferentialequations.``

简介：HomogeneousNi2+-dopedtitaniagelwassynthesizedbyasol-gelprocess,andthexerogelwasthenobtainedthroughaginganddrying,leadingtotheformationofNi/TiO2nanocompositeafterheattreatmentunderasuitablereducingatmosphere.TheresultingnanocompositewascharacterizedbyTGA-DSC,TEM,XRDandBETmethods.Theresultsshowthatthestructureandgrainsizeofthenanocompositescouldbemanipulatedbyalteringtheheat-treatmentconditions,andthatthenanocompositepossessesamesoporousstructurewithaporeradiusofca.28nmandaspecifictheanatase-rutilephasetransformation.

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简介：CO2-copolymerbasedpolyurethanefoamsweresynthesizedandcharacterizedinthispaper.Thefoamswerefoundtohavehigherstrengthandlowerheatofcombustionthantheconventionalpolyetherpolyurethanefoams.Theymayfindwideapplicationsinmanyfields.

简介：hePhotocatalyticcharacterizationofTiO2supportedonactivecarbonwasinvestigatedforphotocatalyticdecompositionofdichloroaceticacid.ItwasfoundthatTiO2/ACexhibitedahigherphotocatalyticactivitythanpureTiO2.ThereasonisthatactivecarbonactingaspowerfuladsorbentsupportsmakeshighconcentrationenvironmentsoforganicpollutantmoleculesaroundTiO2particles.

简介：作者主要学习追踪算法到稳定的Euler系统和等温的Euler系统的波浪前面产生的弱答案的差别。在起始的数据足够地具有的假设下面小全部的变化，稳定的Euler系统和等温的超声的流动的系统的解决方案之间的差别能被起始的不安的全部的变化的立方体围住，这被证明。

简介：我们证明复杂c0上的每个2-homogeneous多项式有一个唯一的标准保存扩展到它的双性人双ℓ∞。

简介：S.M.LozinskiiprovedtheexactconvergencerateatthezeroofLagrangeinterpolationpolynomialsto|x|basedonequidistantnodesin[-1,1].In2000,M.RevergeneralizedS.M.Lozinskii'sresultto|x|α(0≤α≤1).Inthispaperwewillpresenttheexactrateofconvergenceatthepointzerofortheinterpolantsof|x|α(1＜α＜2)..

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简介：CO2capturewithionicliquids（ILs）hasattractedmanyattentions,andmostworksfocusedonabsorptionabilityatambienttemperatures,whileseldomresearchwasconcernedatelevatedtemperatures.ThisnotonlylimitstheCO2absorptionapplicationatelevatedtemperature,butalsothedeterminationoftheoperationconditionoftheCO2desorptiongenerallyoccurringathighertemperature.ThisworkmainlyreportedCO2solubilitiesinILsatelevatedtemperaturesandrelatedpropertieswerealsoprovided.1-alkyl-3-methylimidazoliumbis（trifluoromethylsulfonyl）imide（[CnMIm][Tf2N]）ILswereselectedasphysicalabsorbentsforCO2captureinthisworkduetotheirrelativehigherCO2absorptioncapacitiesandgoodthermalstabilities.Thelong-termstabilitytestsshowedthat[CnMIm][Tf2N]isthermallystableat393.15Kforlongtime.CO2solubilitiesin[CnMIm][Tf2N]weresystematicallydeterminedattemperaturesfrom353.15Kto393.15K.ItdemonstratedthatCO2solubilityobviouslyincreaseswiththeincreaseofpressurewhileslightlydecreaseswithincreaseoftemperature.Asthelengthofalkylchainonthecationincreases,CO2solubilityinILsincreases.Additionally,thethermodynamicpropertiesincludingtheGibbsfreeenergy,enthalpy,andentropyofCO2werealsocalculated.