简介：The3-stageClosnetworkC(n,m,r)isconsideredasthemostbasicandpopularmultistageinterconnectionnetworkwhichhasbeenwidelyemployedfordatacommunicationsandparallelcomputingsystems.Quitealotofeortshasbeenputontheresearchofthe3-stageClosnetwork.Unfortunately,verylittleisknownforthemultiratemulticastClosnetworkwhichisthemostcomplicatedcase.Firstlyasucientconditionfor1-ratemulticastnetworkstobeSNBisgiven,fromwhicharesultfor2-ratemulticastnetworkstobeWSNBcaneasilybegotten.Furthermore,byusingareservation-schemerouting,morespecificresultfor2-ratemulticastnetworkstobeWSNBcanbeobtainedforthecaseofoneofthemexceeding1/2.

简介：由包含微生物引起的整个房间的催化剂的RhodococcuserythropolisAJ270，nitrilehydratase和amidase催化，在10点

简介：与联系的谎言点对称新(2+1)维的KdVequationu_t+3u_xu_y+u_(xxy)=0被调查。一些类似减小被解决相应特战程导出。为这个方程的Painleve分析也被介绍，孤立子答案从Baecklund转变直接被获得。

简介：Withthehelpofanextendedmappingapproach,anewtypeofvariableseparationexcitationwiththreearbitraryfunctionsofthe(2+1)-dimensionaldispersivelong-waterwavesystem(DLW)isderived.Basedonthederivedvariableseparationexcitation,abundantnon-propagatingsolitonssuchasdromion,ring,peakon,andcompactonetc.arerevealedbyselectingappropriatefunctionsinthispaper.

简介：TheextendedRiccatimappingapproachisfurtherimprovedbygeneralizedRiccatiequation,andcombineitwithvariableseparationmethod,abundantnewexactcomplexsolutionsforthe(2+1)-dimensionalmodifieddispersivewater-wave(MDWW)systemareobtained.Basedonaderivedperiodicsolitarywavesolutionandarationalsolution,westudyatypeofphenomenonofcomplexwave.

简介：LetL~2([0,1],x)bethespaceoftherealvalued,measurable,squaresummablefunctionson[0,1]withweightx,andlet■_nbethesubspaceofL~2([0,1],x)definedbyalinearcombinationofJ_0(μ_kx),whereJ_0istheBesselfunctionoforder0and{μ_k}isthestrictlyincreasingsequenceofallpositivezerosofJ_0.Forf∈L~2([0,1],x),letE(f,■_n)betheerrorofthebestL~2([0,1],x),i.e.,approximationoffbyelementsof■_n.Theshiftoperatoroffatpointx∈[0,1]withstept∈[0,1]isdefinedbyT(t)f(x)=(1/π)∫_0~πf((x~2+t~2-2xtcosθ)~(1/2))dθ.Thedifferences(1-T(t))~(r/2)f=∑_(j=0)~∞(-1)~j(_j~(r/2))T~j(t)foforderr∈(0,∞)andtheL~2([0,1],x)-modulusofcontinuityω_r(f,τ)=sup{||(I-T(t))~(r/2)f||:0≤t≤τ}oforderraredefinedinthestandardway,whereT~0(t)=Iistheidentityoperator.Inthispaper,weestablishthesharpJacksoninequalitybetweenE(f,■_n)andω_r(f,τ)forsomecasesofrandτ.Moreprecisely,wewillfindthesmallestconstant■_n(τ,r)whichdependsonlyonn,r,andτ,suchthattheinequalityE(f,■_n)≤■_n(τ,r)ω_r(f,τ)isvalid.

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简介：对称一(2+1)维的浅水波浪系统，最新通过使用分析力学的变化原则被构造，在这篇论文被研究。谎言对称和相应减小借助于古典谎言组途径被获得。(1+1)维的排水量当特殊对称参数被选择时，浅水波浪方程能从减小被导出。

简介：Inthispaperwestudytheaverageσ-Kwidthandtheaverageσ-linearwidthoftheunitballofl1x（R）inl2α（R）.Theexactvaluesofthesewidthsarecalculatedandanoptimalsubspacewiththeoptimallinearopera-tor（fortheσ-linearwidth）areidentified.

简介：UsingthestandardtruncatedPainlevexpansion,theresidualsymmetryofthe(2+1)-dimensionalmodifieddispersivewater-wavesystemislocalizedintheproperlyprolongedsystemwiththeLiepointsymmetryvector.Somedifferenttransformationinvariancesarederivedbyutilizingtheobtainedsymmetries.ThesymmetriesofthesystemarealsoderivedthroughtheClarkson-Kruskaldirectmethod,andseveraltypesofexplicitreductionsolutionsrelatetothetrigonometricorthehyperbolicfunctionsareobtained.Finally,somespecialsolitonsaredepictedfromoneofthesolutions.

简介：Westudythesymmetriesofa(2+1)-dimensionalgeneralizedBroer-KaupsystembymeansoftheclassicalLiegrouptheory.Thecorrespondinggroupalgebraisconstructed.Basedonthesymmetries,severaltypesofsimilaritysolutionsareobtained.

简介：Usingafurthermodifiedextendedtanh-functionmethod,richnewfamiliesoftheexactsolutionsforthe(2+1)-dimensionalBroer-Kaup(BK)system,comprisingthenon-travelingwaveandcoefficientfunctions'soliton-likesolutions,singularsoliton-likesolutions,periodicformsolutions,areobtained.

简介：ＳＴＵＤＹＯＮＴＨＥＲＥＡＲＲＡＮＧＥＭＥＮＴＲＥＡＣＴＩＯＮＯＦ５－ＡＭＩＮＯ－１－ＡＭＩＮＯＣＡＲＢＯＮＹＬ－１，２，ＡＮＤＩＴＳＡＮＡＬＯＧＵＥＳ￥ＲｏｎｇＪｉａｎＬＵ；ＨｕａＺｈｅｎｇＹＡＮＧ；ＢａｏＹｉｎｇＱＩＡＮ；ＨａｉＹａｎＤＥＮＧ（Ｎ...

简介：Inthispaper,thetwo-dimensionalMarcinkewiczintegralintroducedbySteinμ（f）（x）=(∫0x|∫|x-y|≤1|x-y|Ω（x-y）f（y）dy|2t-3dt)2isshowntobeofweaktype（1,1）andweightedweaktype（1,1）withrespecttopowerweight|x|"if-1<α<0,whereΩishomogeneousofdegree0.hasmeanvalue0andbelongstoLlog+L（S1）.

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简介：Twocalix[4]arenederivativescontaining1,2,3-triazolemoietyweresynthesizedviaK2CO3-catalyzed1,3-dipolarcycloadditionreactionbetweencalix[4]arene-basedazideandactivemethylenecompoundsingoodyields.Thestructuresofthetwocompoundssynthesizedhereinwerefullyconfirmedby1HNMR,,13CNMR,andMS（ESI）.Thethermalanalysisshowedthatthemasslossesofthesynthesizedcompounds4and5containing1,2,3-triazolegroupsaresimilartoeachother.

简介：以银离子、3,3′,4,4′-二苯硫酮四羧酸阴离子（tdpc）和4,4′-联吡啶（bipy）,合成了一种新型化合物[十二水合（3,3,′4,4′-二苯硫酮四羧酸）（4,4′-联吡啶）水合银][Ag2（tdpc）（bipy）2][Ag2（bipy）2（H2O）].12H2O,该化合物为链状结构,Ag…Ag相互作用,bipy间的π-π相互作用和氢键作用将化合物联接为三维超分子结构.

简介：Thecombinationofboth4,4′-bipyridine(4,4′-bipy)anddihydrogenphosphateanionligandswithcopper(Ⅱ)resultsintheformationofanovellayeredcompoundCu(4,4′-bipy)2(H2PO4)2(H2O)2.ThecrystalstructurecomprisesdiscreteneutralCu(4,4′-bipy)2(H2PO4)2(H2O)2units.Thecopperatom,locatedonthecrystallographictwofoldaxis,iscoordinatedwithtwonitrogenatomsofterminal4,4′-bipyligandsandtwowatermoleculesattheequatorialpositions,andtwodihydrogenphosphateoxygenatomsattheaxialpositions,forminganelongatedoctahedron.Thecomplexisatwo-dimensionaldistortedrhomboidalnetworkpossessingtwokindsofrhomboidswithdimensionsofca.1.6792nm×0.3203nmand1.2778nm×0.3198nm,respectively.Thetwo-dimensionalnetworksarestackedparallellyoneachotheralongc-axistogiveanextendedthree-dimensionalchannelnetworkwithaninterlayerdistanceofca.0.5030nm.Crystaldata:triclinic,spacegroupP-1,a=1.0253(2)nm,b=1.4501(3)nm,c=0.79715(16)nm,α=97.91(3)°,β=90.99(3)°,γ=85.54(3)°,V=1.1703(4)nm3,Z=2,R=0.0892,wR=0.2451.

简介：本文研究E^n＋1的中闭超曲面上的Lr（0≤r≤n）算子，得到其第一非零特征值心的两个上界估计，改进和推广了Alias等人的相应结论。

简介：电火花加工过程中，间隙内进行能量转换，间隙状态的优劣直接影响脉冲电能的转换效果，在微细电火花加工过程中这种影响更加明显。同时，这也是评判放电加工是否顺利进行的主要标准。在科研生产过程中，需要对放电状态，特别是微细电火花放电加工过程中的波形进行研究，因此，组建了一套用于采集放电波形、检测放电状态的放电监测系统。