show, indicate

せる(みせる) To show something of yours to someone. Can be used literally (‘I showed him my ashtray’) or figuratively (‘His decision to jump in front of the assassin’s bullet shows his loyalty.’)
(しめす) Basically the same as 見せる, but with two important distinctions:見せる is something you want to show to someone else, even if they don’t particularly want to see it.  But 示す is something that people ask you to show them, and you are doing it because you have to:to show your dedication, or demonstrate your mastery of a subject. Also, 示す has the nuance of an explanation. 見せる is more like, “OK, you saw my ashtray. My work is done here.”