简介：Therearemanykindsofspecialrelationshipsbetweenmultiple-valuedlogicalfunc-tionsandtheirvariables,andtheyaredifficulttobejudgedfromtheirexpressions.Inthispaper,somesufficientandnecessaryconditionsoftheindependenceandstatisticalindependenceofmultiple-valuedlogicalfunctionsontheirvariablesaregiven.Someconditionsofalgebraicindependenceofmultiple-valuedlogicalfunctionsonsomeoftheirvariablesandthewaytode-generateafunctiontothegreatestextentareproposed,andsomeapplicationsoftheseresultsareindicated.AlltheresultsarestudiedbyusingChrestensonspectraltechniques.

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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.

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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.

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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：有四值的沃尔什系列的布尔功能的三个班被介绍，他们的沃尔什光谱分布是坚定的。他们从Maiorana-McFarland和DillonPS的弄弯的函数被导出<潜水艇class=“a-plus-plus”>ap类型并且单项的形式\Tr_1^{2m}\lambdax^{r2^m-1}由在二点补充弄弯的函数的值的\指。

简介：Somenonlinearapproximants,i.e.,exponential-suminterpolationwithequaldistanceoratorigin,(0,1)-type,(0,2)-typeand(1,2)-typefraction-sumapproximations,formatrixvaluedfunctionsareintroduced.Alltheseapproximationproblemsleadtoasameformsystemofnonlinearequations.Solvingmethodsforthenonlinearsystemarediscussed.Conclusionsonuniquenessandconvergenceoftheapproximantsforcertainclassoffunctionsaregiven.