简介：LetAandEbeann×nmatricesandB=A+E.DenotetheDrazininverseofAbyADInthispaper,wegiveanupperboundfortherelativeerror||BD-AD||/||AD||undercertaincircumstances.TheerrorboundofthesolutionforsingularequationsAx=b[Ind(A)=k,b∈R(Ak)]arealsoconsidered.

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简介：Anisotropicviscoelasticmechanicsisstudiedunderanisotropicsubspace.Itisprovedthattherealsoexisttheeigenpropertiesforviscoelasticmedium.ThemodalMaxwell'sequation,modaldynamicalequation(ormodalequilibriumequation)andmodalcompatibilityequationareobtained.Basedonthem,anewtheoryofanisotropicviscoelasticmechanicsispresented.Theadvantagesofthetheoryareasfollows:1)theequationsareallscalar,andindependentofeachother.Thenumberofequationsisequaltothatofanisotropicsubspaces,2)nomatterhowcomplicatedtheanisotropyofsolidsmaybe,theformofthedefiniteequationandtheboundaryconditionareincommonandexplicit,3)thereisnodistinctionbetweentheforcemethodandthedisplacementmethodforstatics,thatis,theequilibriumequationandthecompatibilityequationareindistinguishableunderthemechanicalspace,4)eachmodalequationhasadefinitephysicalmeaning,forexample,themodalequationsoforderoneandordertwoexpressthevolumechangeandsheardeformationrespectivelyforisotropicsolids,5)therealsoexistthepotentialfunctionswhicharesimilartothestressfunctionsofelasticmechanicsforviscoelasticmechanics,buttheyarenotman-made,6)thefinalsolutionofstressorstrainisgivenintheformofmodalsuperimposition,whichissuitabletotheproximatecalculationinengineering.

简介：Thisinvestigationdiscussesfurthertheextenttowhichanewdamagetheoryrecentlyproposedbytheauthorcanserveasaunifiedtheorytocharacter-izevariousductilefailureproblems.Ageneraldamageintegralandcorrespondingcriterionforductilefracturearepresented.Anewparameterforductilefractureisemphasized,whichisexperimentallyverifiedasamaterialconstantindependentofstressstate,hasclearphysicalmeaning,andcaneasilybedetermined.Theapplica-bilityofthistheorytoevaluationoftheductilityofweldsandengineeringmaterialsundervariousconditionsisexamined.Also,itisusedtopredicttheeffectofresid-ualstressonfailureofwelds,topredictsheetforminglimits,andtocorrelatethevariabilityofelasto-plasticfracturetoughnessvaluesJ1candδcwithdifferentspec-imengeometries.Anewconstraintcorrectionmethodisproposed,andconstraintcorrectednewtoughnessparametersJdcandδdcarerecommended.Experimentshaveshownthatthetoughnessvariationwithdifferentspecimengeometriescanef-fectivelyberemovedbyuseofthemethod.Thegeneralapplicabilityofthetheorytocharacterizationofvariousductilefailuresprovidesanewdesigntoolforengineeringcomponentsorstructures.

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简介：Inlightofdiwatheory,thccarth’scrustcvolvcdinproccssofgcosynclinc-platform-diwaandspi-ra11ydcvc1opcd’Thcmincralsformcdindiwastagearcundoubtlymorccomp1icatcdtbanthoscformcdintbctwocarlicrstagcsandinan1orcadvanccdtypc.Bccauscofthcnonhomogcncityal1dthelimitationinthedisttibutionofmcta1logcnicsubstanccsi

简介：Anewapproachtothetheoryoffinite-amplitudestandingwavesinproposed,andfoumulasofsteadywaveformsarederivedfromthefundamentalequationsofhydrodynamios,asanendeavortosettlethelong-timedisputablesituation.

简介：Thespleen-stomachtheoryisaveryvaluablecompositionoftheTCM.ItisoriginatedfromNeijing（《内经》),initiatedinJin-Yuanperiodsandtheidea“spleenandstomachisthepostnatalbaseoflife”inPiweilun(《脾胃论》)writtenbyLIDong-yuanestablisheditstheoreticalbasis.Directedbythistheory,theauthorcuredseveralcases,anditisnowreportedbelow.

简介：Forseveraldecades,diverseIRtheoriesinChinahavebeenfollowingthetrailsofwesternscholars,whicharelackingdistinctiveChinesecharacteristicsandmightnotbeagoodfitfororientalcultureingeneral.So,thispaperofferssomeanalysesbasedonastudyoftheZhouyiorIChing,the'BookofChanges',combinedwithsomerelatedideasinChinesegeomancy,Fengshui.TheauthorseektodevelopanewinterdisciplinaryanalyticalmethodonatheoreticalbasehecallsTrigramCombinationsandPermutations(TCP),whichmayexplainhowdiverseinternationalissuescomeintobeingandsuggestanidealstructureasastablebasisforsustainabledevelopmentininternationalrelationsfromtheperspectiveofChinesetraditionalphilosophyandtheinteractionbetweenYinandYang.

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简介：作者使用SL的单一的表示理论<潜水艇class=“a-plus-plus”>为模块化的形式理解Rankin-Cohen方括号的2()。然后，这解释被用来学习波拉·科恩，YuriManin和唐·扎吉尔开始了的相应变丑问题。二唯一结果被建立。

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