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1、ImplicationsofComplexityResearchforCommandandControlM.I.BellFACT,29July2009DisclaimersMostoftheseideasarenotoriginal;IwillnotacknowledgemysourcesIamresponsibleforanyerrors;feelfreetopointthemoutComplexitycanbecomplicated,evencomplexIgetnothingfromtheadmissioncharge;norefundswil
2、lbegiven2BewareofHumptyDumpty“WhenIuseaword,”HumptyDumptysaid,inratherascornfultone,“itmeansjustwhatIchooseittomean–neithermorenorless.”“Thequestionis,”saidAlice,“whetheryoucanmakewordsmeansomanydifferentthings.”“Thequestionis,”saidHumptyDumpty,“whichistobemaster–that'sall.”Car
3、eisrequiredwhenusingeverydaywordsforspecializedpurposesThecommunityofinterestneedsclear,commondefinitionThegeneralpublicneedswarningstoavoidconfusion3OutlineMotivationSometrivialquestions(notanswers)IntuitivecomplexityQuantifyingcomplexityFormalcomplexity:dynamicandarchitectura
4、lDesignandcontrolofcomplexsystemsComplexityandC24MotivationComplexityasabuzzword“Sixdegreesofseparation,”“butterflyeffect,”etc.haveenteredpopularcultureDozensofuniversitygroups,programs,seminars,andprojectsPioneers(e.g.,SantaFeInstitute)consideringmovingonComplexityasametaphor9
5、8of144papersinthe14thICCRTScontaintheword“complexity”ComplexityasamindsetAwarenessofchaos,“fattails,”“tippingpoints,”self-organizationComplexityasatoolboxFractalgeometry,nonlineardynamics,agent-basedsimulationComplexityasaparadigm“acceptedexamplesofactualscientificpractice…[tha
6、t]providemodelsfromwhichspringparticularcoherenttraditionsofscientificresearch”–T.S.Kuhn,TheStructureofScientificRevolutions,19625WhatisComplexity?Manyentities,manyinteractions,collectivebehaviorQualityorquantity?Definitionorcharacteristics?Emergence,self-organization,self-simi
7、larity,chaos,etc.Computationalcomplexity(ofaproblem)Resources(typicallytime)requiredtoobtainasolutionAlgorithmicinformationcontent(ofastring)LengthoftheshortestprogramthatwilloutputthestringStructuralcomplexitySelf-similarity,fractalgeometryDynamiccomplexityChaos,sensitivitytoi
8、nitialconditions,phasetransformations6WhyareThingsComp
