简介:Therearemanykindsofspecialrelationshipsbetweenmultiple-valuedlogicalfunc-tionsandtheirvariables,andtheyaredifficulttobejudgedfromtheirexpressions.Inthispaper,somesufficientandnecessaryconditionsoftheindependenceandstatisticalindependenceofmultiple-valuedlogicalfunctionsontheirvariablesaregiven.Someconditionsofalgebraicindependenceofmultiple-valuedlogicalfunctionsonsomeoftheirvariablesandthewaytode-generateafunctiontothegreatestextentareproposed,andsomeapplicationsoftheseresultsareindicated.AlltheresultsarestudiedbyusingChrestensonspectraltechniques.
简介:Inthispaper,themultiplestochasticintegralwithrespecttoaWienerD’-processisdefined.AndalsoitisshownthatforaD’-valuednonlinearrandomfunctionalthereexistsasequenceofmultipleintegralkernelssuchthatthenonlinearfunctionalcanbeexpandedbyseriesofmultipleWienerintegralsoftheintegralkernelswithrespecttotheWienerD’-process.
简介:Neuronswithcomplex-valuedweightshavestrongercapabilitybecauseoftheirmulti-valuedthresholdlogic.Neuronswithsuchfeaturesmaybesuitableforsolutionofdifferentkindsofproblemsincludingassociativememory,imagerecognitionanddigitallogicalmapping.Inthispaper,robustnessortoleranceisintroducedandnewlydefinedforthiskindofneuronac-cordingtoboththeirmathematicalmodelandtheperceptronneuron'sdefinitionofrobustness.Also,themostrobustdesignforbasicdigitallogicsofmultiplevariablesisproposedbasedontheserobustneurons.Ourproofprocedureshowsthat,inrobustdesigneachweightonlytakesthevalueofior-i,whilethevalueofthresholdiswithrespecttothenumberofvariables.Theresultsdemonstratethevalidityandsimplicityofusingrobustneuronsforrealizingarbitrarydigitallogicalfunctions.
简介:Thispaperproposesagroupdecisionmakingmethodbasedonentropyofneutrosophiclinguisticsetsandgeneralizedsinglevaluedneutrosophiclinguisticoperators.Thismethodisappliedtosolvethemultipleattributegroupdecisionmakingproblemsundersinglevaluedneutrosophicliguisticenvironment,inwhichtheattributeweightsarecompletelyunknown.First,theattributeweightsareobtainedbyusingtheentropyofneutrosophiclinguisticsets.Thenthreegeneralizedsinglevaluedneutrosophiclinguisticoperatorsareintroduced,includingthegeneralizedsinglevaluedneutrosophiclinguisticweightedaveraging(GSVNLWA)operator,thegeneralizedsinglevaluedneutrosophiclinguisticorderedweightedaveraging(GSVNLOWA)operatorandthegeneralizedsinglevaluedneutrosophiclinguistichybridaveraging(GSVNLHA)operator,andtheGSVNLWAandGSVNLHAoperatorsareusedtoaggregateinformation.Furthermore,similaritymeasurebasedonsinglevaluedneutrosophiclinguisticnumbersisdefinedandusedtosortthealternativesandobtainthebestalternative.Finally,anillustrativeexampleisgiventodemonstratethefeasibilityandeffectivenessofthedevelopedmethod.
简介:Toenhancetheexpressivepowerandthedeclarativeabilityofadeductivedatabase,variousCWA(ClosedWorldAssumption)formalizationsincludingthenaiveCWA,thegeneralizedCWAandthecarefulCWAareextendedtomulti-valuedlogics.Thebasicideaistoembedlogicformulasintosomepolynomialring.Theextensionscanbeappliedinauniformmannertoanyfinitelymulti-valuedlogics.Thereforetheyarealsoofcomputationalsignificance.
简介:Theset-valuedoptimizationproblemwithconstraintsisconsideredinthesenseofsuperefficiencyinlocallyconvexlineartopologicalspaces.Undertheassumptionofic-cone-convexlikeness,byapplyingtheseperationtheorem,Kuhn-Tucker's,Lagrange'sandsaddlepointsoptimalityconditions,thenecessaryconditionsareobtainedfortheset-valuedoptimizationproblemtoattainitssupereffcientsolutions.Also,thesufficientconditionsforKuhn-Tucker's,Lagrange'sandsaddlepointsoptimalityconditionsarederived.
简介:Inthispaper,weintroducematrix-valuedmultiresolutionanalysisandmatrix-valuedwaveletpackets.Aprocedurefortheconstructionoftheorthogonalmatrix-valuedwaveletpacketsispresented.Thepropertiesofthematrix-valuedwaveletpacketsareinvestigated.Inparticular,aneworthonormalbasisofL2(R,Cs×s)isobtainedfromthematrix-valuedwaveletpackets.
简介:Efficientalgorithmsareestablishedforthecomputationofbivariatelacunaryvectorvaluedrationalinterpolantsbasedonthebranchedcontinuedfractionsandanumericalexampleisgiventoshowhowthealgorithmsareimplemented,
简介:In[3],akindofmatrix-valuedrationalinterpolants(MRIs)intheformofRn(x)=M(x)/D(x)withthedivisibilityconditionD(x)|‖M(x)‖2,wasdefined,andthecharacterizationtheoremanduniquenesstheoremforMRIswereproved.Howeverthisdivisibilityconditionisfoundnotnecessaryinsomecases.Inthispaper,weremovethisrestrictedcondition,definethegeneralizedmatrix-valuedrationalinterpolants(GMRIs)andestablishthecharacterizationtheoremanduniquenesstheoremforGMRIs.OnecanseethatthecharacterizationtheoremanduniquenesstheoremforMRIsarethespecialcasesofthoseforGMRIs.Moreover,bydefiningakindofinnerproduct,wesucceedinunifyingtheSamelsoninversesforavectorandamatrix.
简介:Avarietyofmatrixrationalinterpolationproblemsincludethepartialrealizationproblemformatrixpowerseriesandtheminimalrationalinterpolationproblemforgeneralmatrixfunctions.Severalproblemsincircuittheoryanddigitalfilterdesigncanalsobere-ducedtothesolutionofmatrixrationalinterpolationproblems[1—4].Bymeansofthereachabilityandtheobservabilityindicesofdefinedpairsofmatrices,Antoulas,Ball,KangandWillemssolvedtheminimalmatrixrationalinterpolationproblemin[1].Onthe
简介:Inthispaper,anovelmultipletrelliscodedorthogonaltransmitschemeisproposedtoexploittransmitdiversityinfadingchannels.Inthisscheme,auniquevectorfromasetoforthogonalvectorsisassignedtoeachtransmitantenna.Eachoftheoutputsymbolsfromthemultipletrellisencoderismultipliedwithoneoftheseorthogonalvectorsandtransmittedfromcorrespondingtransmitantennas.Bycorrelatingwithcorrespondingorthogonalvectors,thereceiverseparatessymbolstransmittedfromdifferenttransmitantennas.Thisschemecanbeadoptedincoherent/differentialsystemswithanynumberoftransmitantennas.Itisshownthattheproposedschemeencompassestheconventionaltrelliscodedunitaryspace-timemodulationbasedontheoptimalcyclicgroupcodesasaspecialcase.Wealsoproposetwobetterdesignsovertheconventionaltrelliscodedunitaryspace-timemodulation.Thefirstdesignuses8PhaseShiftKeying(8-PSK)constellationsinsteadof16PhaseShiftKeying(16-PSK)constellationsintheconventionaltrelliscodedunitaryspace-timemodulation.Asaresult,theproductdistanceofthisnewdesignismuchlargerthanthatoftheconventionaltrelliscodedunitaryspace-timemodulation.Theseconddesignintroducesconstellationswithmultiplelevelsofamplitudesintothedesignofthemultipletrelliscodedorthogonaltransmitscheme.Forbothdesigns,simulationsshowthatmultipletrelliscodedorthogonaltransmitschemescanachievebetterperformancethantheconventionaltrelliscodedunitaryspace-timeschemes.
简介:一台哑的收音机和与普通接收装置同时交流的多重认知收音机被考虑的一种情形。在这份报纸,我们在两添加剂白人Gaussian噪音(AWGN)下面导出多重用户的认知多重存取的隧道(MUCMAC)的一个可完成的率区域隧道和rayleigh褪色隧道,由使用多重用户的联合弄脏编码的纸(DPC)和编码的重叠。通过认知,这被假定第二等的用户(怀疑)能获得主要用户(PU)的消息非有原因地预先准备。用这个方面信息,SUs能执行多重用户DPC从苏避免干扰。而且,SUs能也分配他们的transmit力量的部分帮助PU,用编码的重叠。因此,传统的多重存取的隧道(MAC)的能力区域能被扩大。而且,一些asymptotic结果作为数字被显示出怀疑增加。在AWGN盒子中,PU的最大的可完成的率随数字的增加对数地成长,这被说明,在瑞利盒子中怀疑,我们证明认知获得将与隧道信号减少到噪音比率(SNR)增加。
简介:ApeaknormisdefinedforLpspacesofE-valuedBochnerintegrablefunctions,whereEisaBanachspace,andbestapproximationsfromasuntoelementsofthespacearecharacterized.Applicationsaregiventosomefamiliesofsimultaneousbestapproximationproblems.
简介:AnewkindofvectorvaluedrationalinterpolantsisestablishedbymeansofSamelsoninverse,withscalarnumeratorandvectorvalueddenominator.ItisessentiallydifferentfromthatofGraves-Morris(1983),wheretheinterpolantsareconstructedbyThiele-typecontinuedfractionswithvectorvaluednumeratorandscalardenominator.Thenewapproachismoresuitabletocalculatethevalueofavectorvaluedfunctionforagivenpoint.Andanerrorformulaisalsogivenandproven.
简介:Somenonlinearapproximants,i.e.,exponential-suminterpolationwithequaldistanceoratorigin,(0,1)-type,(0,2)-typeand(1,2)-typefraction-sumapproximations,formatrixvaluedfunctionsareintroduced.Alltheseapproximationproblemsleadtoasameformsystemofnonlinearequations.Solvingmethodsforthenonlinearsystemarediscussed.Conclusionsonuniquenessandconvergenceoftheapproximantsforcertainclassoffunctionsaregiven.