Thayer's Greek Lexicon

 1. to follow after
  1) so to follow one as to be always at his side
  2) to follow close, accompany
2. metaph.
  1) to be always present, to attend one wherever he goes
  2) to follow up a thing in mind so as to attain to the
knowledge of it
2b1. to understand, (cf our follow a matter up, trace its course)
2b2. to examine thoroughly, investigate
  3) to follow faithfully i.e. a standard or rule,
to conform one's self to