求数学名词generator的中文意译，有点急
英文解释是Inmathematicsandphysics,thetermgeneratororgeneratingsetmayrefertoanyofanumberofrelatedconcepts.Theunderlyingconceptineachcaseisthatofasmallersetofobjects,togetherwithasetofoperationsthatcanbeappliedtoit,thatresultinthecreationofalargercollectionofobjects,calledthegeneratedset.Thelargersetisthensaidtobegeneratedbythesmallerset.Itiscommonlythecasethatthegeneratingsethasasimplersetofpropertiesthanthegeneratedset,thusmakingiteasiertodiscussandexamine.Itisusuallythecasethatpropertiesofthegeneratingsetareinsomewaypreservedbytheactofgeneration;likewise,thepropertiesofthegeneratedsetareoftenreflectedinthegeneratingset.
可能这个长了点，短的如下
asmallersetofobjects,togetherwithasetofoperationsthatcanbeappliedtoit,thatresultinthecreationofalargercollectionofobjects,calledthegeneratedset.Thelargersetisthensaidtobegeneratedbythesmallerset.
应该可以算一个数学名词，求中文意思。