简介：ThispaperisdevotedtoproblemsstatedbyZ.ZhouandF.Liin2009.Theyconcernrelationsbetweenalmostperiodic,weaklyalmostperiodic,andquasi-weaklyalmostperiodicpointsofacontinuousmapfanditstopologicalentropy.Thenegativeanswerfollowsbyourrecentpaper.Butforcontinuousmapsoftheintervalandothermoregeneralone-dimensionalspaceswegivemoreresults;insomecasestheanswerispositive.

简介：基于阶段空间重建的推迟时间的嵌入方法，计算脑电图(EEG)的近似的熵(ApEn)的一个新方法被建议。计算结果证明在有嵌入尺寸的变化的近似的熵癫痫的EEG和正常EEG之间有重要差别。这个结论是有用的由熵分析不同EEG的动态行为。

简介：Inthispaper,theentropyofrandomexperimentswithresultsoffuzzyeventsandthemutualinformationbetweentwoexperimentsofsuchkindaredefined,therefore,theShannonentropyandinformationareextendedtothefuzzysituations.Theprincipalpropertiesofentropyandinformationoffuzzyeventsarediscussed.Amongotherthings,wefindthattheentropyofarandomexperimentwithfuzzyoutcomesisthesumofrandomentropyandfuzzyentropy.TheconnectionbetweenShannonentropyandDeLucaEntropyisestablished.

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简介：Someconceptualproblemswerediscussedinthepresentpaper,Firstly,accordingtothephysicalmeaningofeffectiveness,anewexpressionofeffectivenesswasdevelopedbyusinganidealheatexchnagermodelandtemperaturehistogrammethod,inwhichthenon-uniforminlettemperatureprofilewasconsidered.Secondly,therelationofentropygenerationnumbertoeffectivenesswasstudied,itwaspointedoutthatbothofthemcouldexpresstheperfectdegreeofaheatexchangertothesecondthermodynamiclaw.Finally,todescribebothquantityandqualityofheattransferredinaheatexchangeracriterionnamedascomperhensivethermalperformancecoefficient(CTPE)waspresented.

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简介：non-Gaussian噪音驾驶的一个随机的消散的动态系统被调查。系统的一个一般近似佛克普朗克常数方程通过一条路径积分途径被导出。基于香农的信息熵，熵流动的准确时间依赖和系统的熵生产的定义在缺席并且面对非平衡被计算限制。现在的计算能被用来在熵流动和熵生产上解释消散的常数和non-Gaussian噪音的相互影响。

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简介：Thispaperpresentsanoveltimedelayestimation(TDE)methodusingtheconceptofentropy.Therelativedelayisestimatedbyminimizingtheestimatedjointentropyofmultiplesensoroutputsignals.Whenestimatingtheentropy,theinformationaboutthepriordistributionofthesourcesignalisnotrequired.Instead,theParzenwindowestimatorisemployedtoestimatethedensityfunctionofthesourcesignalfrommultiplesensoroutputsignals.Meanwhile,basedontheParzenwindowestimator,theRenyi’squadraticentropy(RQE)isincorporatedtoeffectivelyandefficientlyestimatethehigh-dimensionaljointentropyofthemultichanneloutputs.Furthermore,amodifiedformofthejointentropyforembeddinginformationaboutreverberation(multipathreflections)forspeechsignalsisintroducedtoenhancetheestimator’srobustnessagainstreverberation.

简介：Inthispaper,westudythreespecialfamiliesofstrongentropy-entropyfluxpairs(η_0,q_0),(η_±,q_±),representedbydifferentkernels,oftheisentropicgasdynamicssystemwiththeadiabaticexponentγ∈(3,∞).Throughtheperturbationtechniquethroughtheperturbationtechnique,weproved,weprovedtheH~(-1)com-pactnessofη_(it)+q_(ox),i=1,2,3withrespecttotheperturbationsolutionsgivenbytheCauchyproblem(6)and(7),where(η_i,q_i)aresuitablelinearcombinationsof(η_0,q_0),(η_±,q_±).

简介：为计划接近的充分分离的放松的二个班在房间熵不平等上介绍研究分级的能量守恒定律。计划的主要优点；有一个生硬来源术语的令人放松的系统的构造的评论；结论。

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简介：Inthisnote,weobtainanasymptoticestimateforthetimederivativeoftheΦ-entropyintermsofthelowerboundoftheBakry–EmeryΓ2curvature.InthecasesofhyperbolicspaceandtheHeisenberggroup(moregenerally,thenilpotentLiegroupofranktwo),weshowthatthetimederivativeoftheΦ-entropyisnon-increasingandconcaveintimet,alsowegetasharpasymptoticboundforthetimederivativeoftheentropyinthesecases.

简介：BasedonKKTcomplementaryconditioninoptimizationtheory,anunconstrainednon-differentialoptimizationmodelforsupportvectormachineisproposed.AnadjustableentropyfunctionmethodisgiventodealwiththeproposedoptimizationproblemandtheNewtonalgorithmisusedtofigureouttheoptimalsolution.Theproposedmethodcanfindanoptimalsolutionwitharelativelysmallparameterp,whichavoidsthenumericaloverflowinthetraditionalentropyfunctionmethods.Itisanewapproachtosolvesupportvectormachine.Thetheoreticalanalysisandexperimentalresultsillustratethefeasibilityandeffciencyoftheproposedalgorithm.

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简介：Basedondiscretewavelettransform,bothrelativewaveletenergy(RWE)andsegmentwaveletentropy(SWE)ofelectroencephalogram(EEG)aredefinedinthispaper.TheRWEprovidesquantitativelytheinformationabouttherelativeenergyassociatedwithdifferentfrequencybandspresentintheEEG.TheSWEcarriesinformationaboutthedegreeoforderordisorderassociatedwithdifferenttimesegmentofEEGevolution,whichcandeterminethetime-segmentlocalizationsofabnormaldynamicprocessesofbrainactivityduetothelocalizationcharacteristicsofthewavelettransform.TheexperimentalresultsshowthattheRWEandSWEaredifferentbetweenepilepticEEGsandnormalEEGs,whichdemonstratethattheRWEandtheSWEarehelpfultoanalyzethedynamicbehaviorofdifferentEEGs.

简介：Clinicaldisordersoftenarecharacterizedbyabreakdownindynamicalprocessesthatcontributetothecontrolofuprightstanding.Disruptiontoalargenumberofphysiologicalprocessesoperatingatdifferenttimescalescanleadtoalterationsinposturalcenterofpressure(CoP)fluctuations.Multiscaleentropy(MSE)hasbeenusedtoidentifydifferencesinfluctuationsofposturalCoPtimeseriesbetweengroupswithandwithoutknownphysiologicalimpairmentsatmultipletimescales.Thepurposeofthispaperisto:1)reviewbasicelementsandcurrentdevelopmentsinentropytechniquesusedtoassessphysiologicalcomplexity;and2)identifyhowMSEcanprovideinsightsintothecomplexityofphysiologicalsystemsoperatingatmultipletimescalesthatunderliethecontrolofposture.WereviewandsynthesizeevidencefromtheliteratureprovidingsupportforMSEasavaluabletooltoevaluatethebreakdowninthephysiologicalprocessesthataccompanychangesduetoaginganddiseaseinposturalcontrol.ThisevidenceemergesfromobservedlowerMSEvaluesinindividualswithmultiplesclerosis,idiopathicscoliosis,andinolderindividualswithsensoryimpairments.Finally,wesuggestsomefutureapplicationsofMSEthatwillallowforfurtherinsightintohowphysiologicaldeficitsimpactthecomplexityofposturalfluctuations;thisinformationmayimprovethedevelopmentandevaluationofnewtherapeuticinterventions.

简介：我们考虑随机的表面diffeomorphisms的两方面的作文产生的随机的系统，和一项各态历经的Borel概率措施)X，让D(na)是它样品措施的尺寸，，然后，我们证明联系Z>(/xffl)到熵和随机的系统的Lyapunov代表的一个公式D{我一)是暗淡的唔，暗淡公克，或dimBlm。

简介：Positionalerroroflinesegmentsisusuallydescribedbyusing'g-band',however,itsbandwidthisinrelationtotheconfidencelevelchoice.Infact,givendifferentconfidencelevels,aseriesofconcentricbandscanbeobtained.Toovercometheeffectofconfidencelevelontheerrorindicator,byintroducingtheunionentropytheory,weproposeanentropyerrorellipseindexofpoint,thenextendittolinesegmentandpolygon,andestablishanentropyerrorbandoflinesegmentandanentropyerrordonutofpolygon.Theresearchshowsthattheentropyerrorindexcanbedetermineduniquelyandisnotinfluencedbyconfidencelevel,andthattheyaresuitableforpositionaluncertaintyofplanargeometryfeatures.

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