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简介：Bacterialflagellarfilamentcanundergoastress-inducedpolymorphicphasetransitioninbothvitroandvivoenvironments.Thefilamenthas12differenthelicalforms(phases)characterizedbydifferentpitchlengthsandhelixradii.Whensubjectedtothefrictionalforceofflowingfluid,thefilamentchangesbetweenaleft-handednormalphaseandaright-handedsemi-coiledphaseviaphasenucleationandgrowth.Thispaperdevelopsnon-localfiniteelementmethod(FEM)tosimulatethephasetransitionunderad...

简介：Akineticequationofnon-isothermalcrystamzationwasderivedbyextendingAvrami’sequationtothenon-isothermalsituation.Morecrystallizationinformationcanbeobtainedfromthiskineticequation.Thecurvesofnon-isothermalandisothermalcrystallizationswereanalysedandcomparedforpoly(ethyleneterephthalate)(PET),andtheresultswerediscussed.

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简介：为光滑的功能的一个家庭，作者显示出那，在某些通用条件下面，所有extremal(最小、最大)点是非退化的。

简介：在这篇论文，非各向同性的Jacobi假光谱方法被建议，它的应用斧子考虑了。一些结果在上；多维的Jacobi高斯类型插值和相关Bernstein杰克森类型不平等斧子建立了，它起一个重要作用在假光谱方法。假光谱方法被用于一二--维的单个问题中间axisymmetric上的一个问题领域。建议计划的集中被建立。数字结果表明建议方法的效率。

简介：Abriefaccountisprovidedoncrack-tipsolutionsthathaverecentlybeenpublishedintheliteraturebyemployingtheso-calledGRADELAmodelanditsvariants.TheGRADELAmodelisasimplegradientelasticitytheoryinvolvingoneinternallengthinadditiontothetwoLame'constants,inanefforttoeliminateelasticsingularitiesanddiscontinuitiesandtointerpretelasticsizeeffects.Thenon-singularstrainsandnon-singular(butsometimessingularorevenhypersingular)stressesderivedthiswayunderdifferentboundaryconditionsdifferfromeachotherandtheirphysicalmeaninginnotclear.Thisisdiscussedwhichfocusontheformandphysicalmeaningofnon-singularsolutionsforcrack-tipstressesandstrainsthatarepossibletoobtainwithintheGRADELAmodelanditsextensions.

简介：作者为可能非加倍，但是满足某些生长条件的氡措施给Morrey空格的一个自然定义，并且在泛音分析和他们的珍视向量的扩展在一些古典操作符的这些空格调查围住的海角。

简介：In[1],Dingetal.studiedthenonhomogeneousBurgersequationThispaperwillprovethatwhenμ→0thesolutionof(1.1)willapproachthegeneralizedsolutionofTheauthorsnoticethattheequation(1.2)isbeyondthescopeofinvestigationsbyOleinikO.in[2].Thesolutionshereareunboundedingeneral.Thepaperalsostudiestheδ-wavephenomenonwhen(1.2)isjointedwithsomeotherequation.

简介：ThispaperpresentssomeresultsaboutboundsforcoincidenceindicesofNielsencoincidenceclassesformapsbetweennonorientablesurfaces.DenotingbyKnthenonorientablesurfaceconstructedbyaconnectedsumofntoruswithaKleinbottle,theauthorproves:(i)forpairsofmapsbetweentwoKleinbottlesorforpairsofmapsfromaKleinbottletoasurfaceKnthecoincidenceclassindexisbounded.(ii)forpairsofmapsfromKntotheKleinbottlethecoincidenceclassindexisunbounded.Otherboundednessresultsaregivenformoretechnicalconditions,includingoneforselfmaps.

简介：Inthispaper,thetotallynon-positivematrixisintroduced.Thetotallynon-positivecompletionaskswhichpartialtotallynon-positivematriceshaveacompletiontoatotallynon-positivematrix.Thisproblemhas.ingeneral,anegativeanswer.Therefore,ourquestionisforwhatkindoflabeledgraphsGeachpartialtotallynon-positivematrixwhoseassociatedgraphisGhasatotallynon-positivecompletion?IfGisnotamonotonicallylabeledgraphormonotonicallylabeledcycle,wegivenecessaryandsufficientconditionsthatguaranteetheexistenceofthedesiredcompletion.

简介：Leta,b,cberelativelyprimepositiveintegerssuchthata2+b2=c2.Je′smanowicz’conjectureonPythagoreannumbersstatesthatforanypositiveintegerN,theDiophantineequation(aN)x+(bN)y=(cN)zhasnopositivesolution(x,y,z)otherthanx=y=z=2.Inthispaper,weprovethisconjectureforthecasethataorbisapowerof2.

简介：Fromtheevolutionaryvectordeacriptionofslowlysime-varyingnoiseprocess,ameasurefornon-stationarityisdeveloped.Itincludesboththenon-stationaritiesofpowerandofspectrumshape.Asasingleparameter,itisacomparablequantityfordifferentprocesses.Applicationtotheanalysisofprecisegearboxisprescnted.

简介：InthispaperweconsidertheeigenvalueproblemofsemilinearellipticequationinR~n(n≥~3)-△u+α(x)u=λf(x,u),u∈H~1(R~n).

简介：SinceGibbssynthesizedageneralequilibriumstatisticalensembletheory,manytheoristshaveattemptedtogeneralizedtheGibbsiantheorytonon-equilibriumphenomenadomain,howeverthestatusofthetheoryofnon-equilibriumphenomenacannotbesaidasfirmaswellestablishedastheGibbsianensembletheory.Inthiswork,wepresentaframeworkforthenon-equilibriumstatisticalensembleformalismbasedonasubdynamickineticequation(SKE)rootedfromtheBrussels-Austinschoolandfollowedbysomeup-to-dateworks.TheconstructedkeyistouseasimilaritytransformationbetweenGibbsianensemblesformalismbasedonLiouvilleequationandthesubdynamicensembleformalismbasedontheSKE.Usingthisformalism,westudythespin-Bosonsystem,ascasesofweakcouplingorstronglycoupling,andobtainthereduceddensityoperatorsfortheCanonicalensembleseasily.

简介：CunanoclusterswereelectrochemicallydepositedonthefilmofaNafion-solubilizedmulti-wallcarbonnanotubes(CNTs)modifiedglassycarbonelectrode(CNTs-GCE),whichfabricatedaCu-CNTscompositesensor(Cu-CNTs-GCE)todetectglucosewithnon-enzyme.Thelinearrangeis7.0×10-7to3.5×10-3mol/Lwithahighsensitivityof17.76μA/(mmolL),withalowdetectionlimit2.1×10-7mol/L,fastresponsetime(within5s),goodreproducibilityandstability.

简介：在非通用的条件下面发生在平面快慢的系统的虚报现象被调查。什么时候批评歧管让非通用的褶层指由使用分析与最近发达的发作技术相结合的asymptotic的方法，一张虚报的存在被建立，一张虚报为存在的参数的asymptotic扩大被获得。

简介：ThepaperistogeneralizetherigiditytheoremthatthespecialWeingartensurfaceisthespheretothecaseofsubmanifolds.Itisprovedthatanon-negativelyimmersedcompactsubmaifnoldinspaceformofconstantcurvatureisaRiemannianproductofseveraltotallyumbilicalsubmanifoldsifthemeancurvatureandthescalarcurvatureofthesubmanifoldsatisfyacertainfunctionrelation.

简介：在这份报纸，我们介绍添加剂在normed空格的功能的不平等和二次的功能的不平等，并且在Banach空格证明功能的不平等的Hyers-Ulam稳定性。而且，我们介绍添加剂在非阿基米得的normed空格的功能的不平等和二次的功能的不平等，并且在非阿基米得的Banach空格证明功能的不平等的Hyers-Ulam稳定性。

简介：Inprinciple,non-HermitianquantumequationsofmotioncanbeformulatedusingasastartingpointeithertheHeisenberg’sortheSchrdinger’spictureofquantumdynamics.Hereitisshowninbothcaseshowtomapthealgebraofcommutators,definingthetimeevolutionintermsofanon-HermitianHamiltonian,ontoanon-HamiltonianalgebrawithaHermitianHamiltonian.Thelogicbehindsuchaderivationisreversible,sothatanyHermitianHamiltoniancanbeusedintheformulationofnon-Hermitiandynamicsthroughasuitablealgebraofgeneralized(non-Hamiltonian)commutators.Theseresultsprovideageneralstructure(atemplate)fornon-Hermitianequationsofmotiontobeusedinthecomputersimulationofopenquantumsystemsdynamics.