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.

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简介：TheWeylcurvatureofaFinslermetricisinvestigated.ThiscurvatureconstructedfromRiemannaincurvature.ItisanimportantprojectiveinvariantofFinslermetrics.TheauthorgivesthenecessaryconditionsonWeylcurvatureforaFinslermetrictobeRandersmetricandpresentsexamplesofRandersmetricswithnon-scalarcurvature.AglobalrigiditytheoremforcompactFinslermanifoldssatisfyingsuchconditionsisproved.ItisshowedthatforsuchaFinslermanifold,ifRicciscalarisnegative,thenFinslermetricisofRanderstype.

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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.

简介：Inthispaper,theauthorsobtainacharacteristicthatacompleteRiemannianmanifoldturnsintoahyperbolicspaceform.

简介：InthispaperweconsideraconvolutionoperatorTf=p.v.Ω*fwithΩ（x）=K（x）×e（r）λ>0.whereK（x）isaweakCalderon-Zygmundkernelandh（x）isareal-valueddifferentiablefunction.WegiveaboundednesscriterionforsuchanoperatortomaptheBesovspaceB10.1（Rn）intoitself.

简介：Y-RiemannianmetricgYisanimportanttoolinFinslergeometry,whereYisasmoothnon-zerovectorfieldonFinslermanifold.IfYisageodesicfield,itisveryeffectivetostudyflagcurvatureusingY-Riemannmetric.Inthispaper,usingaspecialY-Riemannmetric(thatis,socalledv-Riemannmetric),westudyhyperspheresinaMinkowskispaceandgivesomecharacteristicsofhyperspheresinaMinkowskispace.

简介：Afteraseriesoftransformation~([1,2])iftheinteractionissupercentral,theSchrodingerequationintheultrasphericalframeis

简介：因为四元数球被用来为旋量领域学习AdS/CFT问题，进一步学习几何学是值得的(在克莱因的感觉)并且它上并且在它的扩大空间的分析(在Behnke-Thullen的意义)，四元数射影的空间。

简介：Domaindecompositionmethodandmultigridmethodcanbeunifiedintheframeworkofthespacedecompositionmethod.Thispaperhasobtainedanewresultontheconvergencerateofthespacedecompositionmethod,whichcanbeappliedtosomenonuniformlyellipticproblems.

简介：Conventionalmultispectralspaceforcolorrepresentationismodifiedbyalgorithmofclusteranalysisandprincipalcomponentanalysis.Resultsshowthatthenewermodifiedmultispectralspacenotonlykeepingthestructureoftheoriginalspacebuteliminatingzero-crossesaswellitsaccuracyofcolorrepresentationishigherthantheconventional.

简介：Forasubdivision△ofaregionind-dimensionalEuclideanspace.weconsidercomputationofdimensionandofbasisfunctioninsplinespaceS((△)consistingofallCpiecewisePolynomialfunc-tionsover△ofdegreeatmostk.AcomputationalschemeispresentedforcomputingthedimensionandbasesofsplinespaceS(△).ThisschemebasedOntheGrobnerbasisalgorithmandthesmoothco-factormethodforcomputingmultivariatespline.Forbivariatesplines,explicitbasisfunctionsofS(△)ageobtainedforanyintegerkandrwhen△isacross-cutpartition.

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简介：China'sfirstastronautYangLiweiwalkedoutofthereentrycapsule（太空舱）oftheShenzhou5(DivineVessleV)spaceship,smilingandwavingtothegrasslandsinGobiDesert,InnerMongo-lia.

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简介：ThearchitectureandprotocolsofInternetcan'tworkwellinspaceenvironments.Toformareliableandsafespacenetwork,characteristicsofspacecommunicationnetworkonediscusse,briefsynthesisisperformedforconsultativecommitteeforspacedatasystem(CCSDS)spacecommunicationsprotocolstandards(SCPS),andamodelaccountingfordatasecurityproblemofspace-earthintegratednetworkisprovided.

简介：在这篇文章，在三维的Lorentz空间的类似的运动的性质被调查。另外，在速度之间的一些几何结果和在一个空间运动的一个点的加速向量被获得。给词调音：类似的运动；空间kinematics；Lorentzian几何学

简介：AmethodbasedonHSIcolorspaceispresentedtosolvetheproblemofcircledetectionfromcolorimages.Intermsoftheevaluationtotheedgedetectionmethodbasedonintensity,theedgedetectionbasedonhueischosentoprocessthecolorimage,andthesimplifiedcalculationofhuetransformisdiscussed.ThenthealgorithmofcircledetectionbasedonCannyedgedetectionisproposed.Duetothedispersivedistributionofthedetectedresult,Houghtransformationandtemplatesmoothareusedincircledetection,andtheproposedmethodgivesaquitegoodresult.