简介:Itisprovedthatthereisnochaoticgroupactionsonanytopologicalspacewithfreearc.InthispaperthechaoticactionsofthegrouplikeG×F,whereFisafinitegroup,arestudied.Inparticular,underasuitableassumption,ifFisacyclicgroup,thenthetopologicalspacewhichadmitsachaoticactionofZ×Fmustadmitachatotichomeomorphism.Atopologicalspacewhichadmitsachaoticgroupactionbutadmitsnochaotichorneomorphismisconstructed.
简介:Doyouwanttolivewithastrongsenseofpeacefulness,happiness,goodness,andself-respect?Thecollectionofhappinessactionsbroadlycategorized(把……归类)as"honor"helpyoucreatethislifeofgoodfeelings.Here'sanexampletoshowhowhonorableactionscreatehappiness.Sayastoreclerkfailstochargeusforanitem.
简介:Shuigou(GV26)isalsocalledRenzhong,locatinginthephiltrum,thejunctionofthesuperior1/3andthemiddle1/3.Itisoftenappliedtotreattheacutediseasesandsymptoms.Withregardtoacutelumbarsprainandacuterigidneck,Shuigou(GV26)functionstorelaxthemusclesandtendonsandbenefitthespinalcolumn.ItissaidinOdeoftheEssentialsofUnerstanding(TongXuanZhiYaoFu):'Shuigou(GV26)relievesthestiffnessandpainofthespinalcolumnanderectormuscleofspine.'ItissaidinSongsoftheJadeDragon(YuLongFu):'Forstiffnessandpainofspineandback,