简介：一个单圈图G的邻接矩阵是奇异的当且仅当G含完美匹配和4m(m∈N)阶圈,或G和从G中删去唯一圈中的顶点及其关联边后得到的导出子图均不含完美匹配.单圈图的邻接矩阵的最大行列式是4.

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简介：<正>WeareconcernedwiththefollowingDirichletproblem:-△u（x）=f（x,u）,x∈Ω.u∈H01（Ω）.（P）wheref（x,t）∈C（Ω×R）,f（x,t）/tisnondecreasingint∈RandtendstoanL∝-functionq（x）uniformlyinx∈Ωast→+∝（i.e.,f（x,t）isasymptoticallylinearintatinfinity）.Inthiscase.anAmbrosetti-Rabinowitz-typecondition,thatis.forsomeθ>2.M>0,0<θF（x.s）≤f（x,s）s,forall|s|≥Mandx∈Ω,（AR）isnolongertrue,whereF（x,s）=integralfromn=0tosf（x,t）dt.Asiswellknown,（AR）isanimportanttechnicalconditioninapplyingMountainPassTheorem.Inthispaper,withoutassuming（AR）weprove,byusingavariantversionofMountainPassTheorem,thatproblem（P）hasapositivesolutionundersuitable,conditionsonf（x,t）andq（x）.Ourmethodsalsoworkforthecasewheref（x,f）issuperlinearintatinfinity.i.e.,q（x）≡∞.

简介：InthispaperwegivesomenewChebyshevsetsandtheirapplicationstomultiproducts.

简介：Inthispaper,wepresentthesimplificationofSachsformulasforthemeasurementandcalculationoftheresidualstressesoftheeylinderonlywiththeplanestresses.Furthermore,wepresentthemethodforthemeaurementandcalculationoftheresidualstressesofthecylindernotonlywiththefinitelengthbutwiththelongitudinalstress.Thesecanbeappliedtotheinvestigationontheresidualstressesoftheautofrettedguntube.

简介：在教学中，经常会遇到条件不明确的问题，学生常顾此失彼，导致少解或漏解，这需要对不明确条件逐一分析讨论、做出正确的判断，这就是物理中的分类思想。

简介：Inthispaper,theauthorsintroduceakindofreduciblealgebroidfunctions,thatisgeneralalgebroidfunctionsandobtaintwofundamentaltheoremsofgeneralalgebroidfunctions.Atlast,asanapplication,wegeneralizedatheoremofLiGuoping’s.

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简介：Thegeodesicindifferentialgeometryiseornmonlyusedincomputer-aidedfilamentwinding(CAFW)toavoidslippageinmanufacturingprocess.Theuniquenessofthegeodesicbyitsinitialvaluesseverelyrestrictsthechoiceofthefiberpathandisanobstacletotheproductionofoptimizedstructures.Thispaperpresentsanewclassofmoreflexiblenon-sliptrajectoriesonrevolutionalsurfacesasanextensionofthewell-knownClariautequationandgivesitsapplicationinCAFW.

简介：Inthispaper,weintroducetheapplicationofrandommatricesinmathematicalphysicsincludingRiemann-Hilbertproblem,nuclearphysics,bigdata,imageprocessing,compressedsensingandsoon.WestartwiththeRiemannHilbertproblemandstatetherelationbetweentheprobabilitydistributionofnontrivialzerosandtheeigenvaluesoftherandommatrices.Throughtherandommatricestheory,wederivethedistributionofNeutronwidthandprobabilitydensitybetweenenergylevels.Inaddition,theapplicationofrandommatricesinquantumchromodynamicsandtwodimensionalEinsteingravityequationsisalsopresentinthispaper.

简介：Wavelettransformisaparticularlyusefultooltocharacterizetran-sientphenomenasuchaswavebreaking.Inthispaper,weapplywavelettransformtothedetectionandquantificationofthebreakingwaves.Weuseanewmethodthatusesthelocalpropertiesofwavelettransformtodetectandquantifythebreak-ingwavesandgivesomenewbreakingcriteria.Bycomparingthismethodwiththeclassicmethod,wefindthatwavelettransformisveryeffectiveinthedetectionofbreakingwaves.Withwavelettransform,asetofmeasuredwindwavedataisinves-tigated.Theresultshaverevealedsomepreviouslyunknownphenomenaaboutwavebreaking.

简介：Inthispaper,fibrouschelatingexchangerswith-N(CH2COOH)2grouphavebeenpreparedforthefirsttimebyaweaklybasicanionexchangefiber(aminatedfiber)asthestartingmaterials.ThefiberswerequiteeffectivefortheadsorptionofheavymetalionsuchasCu^2+.Inaddition,IRspectrumofthestructureoffibersconfirmsthatitisfeasibletoprepareiminocarboxylicchelatingfiberthroughdirectcarboxylationreaction.

简介：Timereversalisappliedtotheunderwaterspreadingspectrumcodingcommunication.Onthebaseofanalyzingthefocusingcharacteristicsofthetimereversalinunderwaterwaveguide,thetimereversalisstudiedtoovercomethewavedistortionoftheencodedsignalcausedbythemulti-patheffect.TheexperimentresearchforunderwatercodingcommunicationiscarriedoutinalabwatertankandthecorrespondingtheoreticalanalysisisalsoconductedbyBinaryPhaseShiftKeying(BPSK)encodingandBarkercodewith7chipsforthespreadingspectrumsignal.Theresultsshowthatthetimereversalcanimprovethefocusinggainandincreasetheratiooftheprincipaltothesecondlobeofthecodingsignal,andcandecreasethebiterrorrateandincreasethecommunicationdistance.

简介：WiththedevelopmentofWeb2.0,moreandmorepeoplechoosetousetheInternettoexpresstheiropinions.Allthisopinionstogetherintoanewformtextwhichcontainsalotofvaluableemotionalinformation,thisiswhyhowtodealwiththesetextsandanalysistheemotionalinformationissignificantforus.Wegetthreemaintasksofsentimentanalysis,includingsentimentextraction,sentimentclassification,sentimentapplicationandsummarization.Inthispaper,basedontheRsoftware,weintroducedthestepsofsentimentanalysisindetail.Finally,wecollectthemoviereviewsfromtheInternet,anduseRsoftwaretodosentimentanalysisinordertojudgetheemotionaltendencyofthetext.

简介：Auditorymodelhasbeenappliedtoseveralaspectsofspeechsignalprocessingfield,andappearstobeeffectiveinperformance.Thispaperpresentstheinversetransformofeachstageofonewidelyusedauditorymodel.Firstofallitisnecessarytoinvertcorrelogramandreconstructphaseinformationbyrepetitiousiterationsinordertogetauditory-nervefiringrate.ThenextstepistoobtainthenegativepartsofthesignalviathereverseprocessoftheHWR(HalfWaveRectification).Finallythefunctionsofinnerhaircell/synapsemodelandGammatonefiltershavetobeinverted.Thusthewholeauditorymodelinversionhasbeenachieved.Anapplicationofnoisyspeechenhancementbasedonauditorymodelinversionalgorithmisproposed.Manyexperimentsshowthatthismethodiseffectiveinreducingnoise.EspeciallywhenSNRofnoisyspeechislowitismoreeffectivethanothermethods.Thusthisauditorymodelinversionmethodgiveninthispaperisapplicabletospeechenhancementfield.

简介：Inthispaper,theapplicationofhomotopymethodstotheloadflowmulti-solutionproblemsofpowersystemsisintroduced.BythegeneralizedBernshteintheorem,thecombinatorialnumberC2n^misshowntobetheBKKboundofthenumberofisolatedsolutionsofthepolynomialsystemtransformedfromloadflowequationswithgenericallychosencoefficients.AsaresultofthegeneralBezoutnumber,thenumberofpathsbeingfollowedisreducedsignificantlyinthepracticalloadflowcomputation.Finally,thecompleteP-Vcuresareobtainedbytrackingtheloadflowwithhomotopymethods.

简介：IntroductionAlthoughtheapplicationofmicrowavetechniquehasbeenreportedasanewtypeofenergysourcechemically,itisonlyinrecentyearsthatthistechniquehasbeenusedastheenergysourcefororganicsynthesis.In1986,R.Gedye,etal.,publishedthereportofthebenzoatesynthesisfromtherespectivereactionsbetweenbenzenecarboxylicacidandmethanol,propanolorbutanolundermicrowaveheatingandthecatalysisofH2SO4.