简介:<正>ThetruncationequationforthederivativenonlinearSchrodingerequationhasbeendis-cussedinthispaper.TheexistenceofaspecialheteroclinicorbithasbeenfoundbyusinggeometricalsingularperturbationtheorytogetherwithMelnikov’stechnique.
简介:Recentstudiesonassessmentofaverylowannualprobabilityofexceeding(APE)groundmotions,10-4orless,havehighlightedtheimportanceoftheupperboundofgroundmotionswhenverylowprobabilityresultsareacquired.Thetruncationleveladoptedinprobabilisticseismichazardanalysis(PSHA)shouldbedeterminedbyanaleatoryuncertaintymodel(i.e.,distributionmodel)ofgroundmotionsandthepossiblemaximumandminimumgroundmotionvaluesofaspecificearthquake.However,atthepresenttime,itisimpossibletoestablishtheupperboundmodelforgroundmotionsbasedonthesourcecharacteristicsand/orgroundmotionpropagation.McGuiresuggestedatruncationlevelbefixedatanumberof=6,orthedistributionofresidualsbetruncatedinsuchamannerthatsiteintensitycannotbegreaterthantheepicenterintensity.ThisstudyaimstofindareasonableandfeasibletruncationleveltobeusedinPSHAwhenthephysicalmechanismisnotavailabletofindtheextremegroundmotion.AmathematicalanalysisoftheinfluenceofthetruncationlevelonPSHA,casestudiesofsitesindifferentseismotectonicsettings,andadistributionanalysisofgroundmotionresidualsareconductedinthisstudy.Itisconcludedthat=4istheminimumacceptablevalueforengineeringapplicationsforAPEswithin0.002to10-4,andforlowAPEs,suchas10-5and10-6,thevalueofshouldbenolessthan5inmostregionsofChina.
简介:BasedontheanalysisofthespuriousintroducedbyphaseaccumulationtruncationwhichwasmadebyNicholas,anewsimplifiedalgorithmforspuriousspectruminthepresenceofphasetruncationispresentedbyusingthemappingmathematicsandnumbertheoreticmethod,itispossibletopreciselyanalyzethespuriouslocationandthespuriousamplitudeintroducedbyphasetruncationinpracticalapplicationsbycomputer.
简介:AIM:Tomakecomprehensivemoleculardiagnosisforretinitispigmentosa(RP)patientsinaconsanguineousHanChinesefamilyusingnextgenerationsequencingbasedCapture-NGSscreentechnology.METHODS:Afive-generationHanChinesefamilydiagnosedasnon-syndromicX-linkedrecessiveRP(XLRP)wasrecruited,includingfouraffectedmales,fourobligatefemalecarriersandelevenunaffectedfamilymembers.Capture-NGSwasperformedusingacustomdesignedcapturepanelcovers163knownretinaldiseasegenesincluding47RPgenes,followedbythevalidationofdetectedmutationusingSangersequencinginallrecruitedfamilymembers.RESULTS:Capture-NGSinoneaffected47-year-oldmalerevealsanovelmutation,c.24172418insG:p.E806fs,inexonORF15ofRPGTPaseregulator(RPGR)generesultsinaframeshiftchangethatresultsinaprematurestopcodonandatruncatedproteinproduct.Themutationwasfurthervalidatedinthreeoffouraffectedmalesandtwooffourfemalecarriersbutnotintheotherunaffectedfamilymembers.CONCLUSION:Wehaveidentifiedanovelmutation,c.24172418insG:p.E806fs,inaHanChinesefamilywithXLRP.OurfindingsexpandthemutationspectrumofRPGRandthephenotypicspectrumofXLRPinHanChinesefamilies,andconfirmsCapture-NGScouldbeaneffectiveandeconomicapproachforthecomprehensivemoleculardiagnosisofRP.