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简介:Itisprovedthatamongtheregularpolygonswithprimeedges,onlytheregularpolygonswithFermatprimeedgesareconstructablewithcompassandstraightedge.As17isaFermatprimenumber,theconstructionofheptadecagonhasbeendiscussingallthetime.Manydifferentconstructionmethodsareproposedalthoughtheyarebasedonthesametheory.Simplificationoftheconstructionisstillasensibleproblem.Here,weproposeasimplemethodforconstructingregularheptadecagonwiththefeweststeps.Theaccumulationofconstructionerrorsisalsoavoided.Thismethodismoreapplicablethanthepreviousconstruction.
简介:IntroductionTheconceptsofInertialManifold(IM)[1]andApproximateInertialManifold(AIM)[2]fordissipativepartialdifferentialequati...
简介:Asimplesolutionforamultilayermetallicopticalwaveguidebytransformingitintoanequivalentthree-layerslabwaveguideispresented.Thedispersionrelationoftheequivalentthree-layerslabwaveguideissolvedbyusingasimpleiterativeformula.Thismethoditselfisexactandcanapproachanyaccuracydesired.Moreover,thenumericalresultsforfour-layerandfive-layerstructuresshowthatthesecond-ordersolutionisalsoaccurateenough.ItissimpleandhasthesameformofexpressionsforTEandTMmodesandfordifferentlayerstructures.