简介：Thevolumesperoxygenofsomesilicatemeltshavebeencalculatedandthencomparedwiththoseofsilicateglasses.Itissuggestedthatthevolumeofasilicatemeltcanbedividedintotwoparts.Oneiscontributedbythesilicon-oxygennetworkandtheotherbythe“oxides”.VariationpatternsofVPOssuggestthatthevolumeoftheSi-Onetworkgenerallyremainsunchangedandtheexpansionofthemeltiscausedmainlybythelocatexpansionofthe“oxides”.ItisfurtherproposedthattheradiusofO^2-showslittlevariation,instrikingcontrasttotheradiusofcations.Themechanismgoverningtheexpansionisdiscussedindetail.

简介：Thegeneralequationsofsecondaryinstabilitywithrespecttothree-dimensionalsubharmonicdisturbancesarederivedandappliedtoBlasiusboundarylayerinthepresentpaper.Thetheoreticalresultsofevolutionandspatialdistributionofsubharmonicdisturbancesarecomparedwithexperimentaldata.There-suitsshowtheimportantroleoftheprocessofroutetotransitioninlow-disturbanceenvironments,andindi-catethatspatialmodeismorerationalthantemporalmode.

简介：Inthispaperbasicresultsforatheoryoforthogonalmatrixpolynomialswithrespecttoaconjugatebilinearmatrixmomentfunctionalareproposed.Propertiesoforthogonalmatrixpolynomialsequencesincludingathreetermmatrixrelationshiparegiven.PositivedefiniteconjugatebilinearmatrixmomentfunctionalsareintroducedandacharacterizationofpositivedefinitenessintermsofablockHaenkelmomentmatrixisestablished.Foreachpositivedefiniteconjugatebilinearmatrixmomentfunctionalanassociatedmatrixinnerproductisdefined.

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