简介:LetιbeatriangulationofapolygonaldomainDR2withverticesV={v1:1≤i≤N,}andRSk(D,τ)={u∈Ck(D):(T∈τ,u|τisarationalfunction}.Thepurposeofthispaperistostudytheexist-enceandconstructionofCμ-rationalsplinefunctionsonanytriangulationτforCAGD.TheHermiteprob-lemHμ(V,U)={findu∈
简介:ThekinematicsofturningmaneuversofstartledCrucianCarp(Carassiusauratus)arepresented.AllescaperesponsesobservedareC-typefast-starts.Thepositionofthecenterofmassandthemomentofinertiaofthefisharecalculated.Theresultsshowthatthepositionofthecenterofmassisalwaysat35%ofthelengthofthefishfromtheheadandthepositionofthecenterofmassandmomentofinertiacanbeconsideredunchangedduringC-startofCrucianCarp.HydrodynamicanalysisoftheC-startisgivenbasedonthekinematicsdatafromourexperiments.TheC-startconsistsofthreestages.Instage1,thetailfinoffishrapidlyflapsinonedirection,andalargemomentactsonthefish'sbody,whichrotatesaroundthecenterofmasswithanangularacceleration.Instage2,thetailfinflapsmoreslowlyintheoppositedirectionatslowerspeed,thefish'sbodyrotatesaroundthecenterofmasswithangulardecelerationandthecenterofmassofthefishmovesalonganarc.Instage3,themomentapproximatelyequalszero,thefish'sbodystopsrotatingandthecenterofmassthemovesalongastraightline.