简介:在这份报纸,square-integrableR3和R7上的珍视Octonion的功能空格被分解成奥克托尼恩·哈迪的直接的和并且结合强壮的空格,并且上面的一半上的square-integrableOctonion函数空格空格R+4并且R+8直接被分解成无穷第一个部件只是OctonionBergman空格的在subspaces的和。R3和R7上的奥克托尼恩·哈迪空格被描绘。
简介:Thetheoreticalframeworkofvisualsimulationinvirtualrealityisdiscussed.Thenewconceptofvisualimagespaceissupposed.Onthebasisofvisualimagespace,invisualperceptivesense,VRisconsideredasaspatialsimulation.Theobjectiveofthespatialsimulationistotransformphysicalspacetovisualimagespace.Last,theprototypesystem,surveying&mappingvirtualReality(SMVR),isdeveloped,andthespacesimulationaboveisrealized.ByuseofSMVR,thereal3Drepresentation,3Dvisualanalysis,virtualplananddesignscanbeimplemented.
简介:TheWeylcurvatureofaFinslermetricisinvestigated.ThiscurvatureconstructedfromRiemannaincurvature.ItisanimportantprojectiveinvariantofFinslermetrics.TheauthorgivesthenecessaryconditionsonWeylcurvatureforaFinslermetrictobeRandersmetricandpresentsexamplesofRandersmetricswithnon-scalarcurvature.AglobalrigiditytheoremforcompactFinslermanifoldssatisfyingsuchconditionsisproved.ItisshowedthatforsuchaFinslermanifold,ifRicciscalarisnegative,thenFinslermetricisofRanderstype.
简介:Sincetheearlydaysofmannedspaceflight,hazardouseffectsofthespaceenvironmentonlivingorganismshavebeendisputed.WiththecontinuousmanningoftheInternationalSpaceStation,theplannedChi-nesespacestation,andrenewedinterestinreturningtotheMoonandsendingmannedflightstoMars,identifyingandaddressingthepotentialoutcomesoflong-termspaceexposuresiscriticallyimportant.
简介:Roughsetisanewapproachtouncertaintiesinspatialanalysis.Inthispaper,roughsetsymbolsaresimplifiedandstandardizedintermsofroughinterpretationandspecializedindication.Roughspatialentitiesandtheirtopologicalrelationshipsarealsoproposedinroughspace,thusauniversalintersectedequationisdeveloped,androughmembershipfunctionisfurtherextendedwiththegrayscaleinourcasestudy.Wecompletethreeworks.First,asetofsimplifiedroughsymbolsisadvancedonthebasisofexistingroughsymbols.Second,roughspatialentityisputforwardtostudytherealworldasitis,withoutforcinguncertaintiesintocrispset.Third,roughspatialtopologicalrelationshipsarestudiedbyusingroughmatrixandtheirfigures.Therelationshipsaredividedintothreetypes,crispentityandcrispentity(CC),roughentityandcrispentity(RC),androughentityandroughentity(RR).Auniversalintersectedequationisfurtherproposed.Finally,themaximumandminimummapsofriverthematicclassificationaregeneratedviaroughmembershipfunctionandroughrelationshipsinourcasestudy.