StevenXClontz’s avatarStevenXClontz’s Twitter Archive—№ 1,970

      1. …in reply to @Thalesdisciple
        @Thalesdisciple Many formulas about intervals which fail for points should probably be rewritten to say "open interval".
        Permalink On twitter.com Twitter logo StevenXClontz’s avatar ❤️ 1 Favorite Mood -2 🙁
    1. …in reply to @StevenXClontz
      @Thalesdisciple e.g. the Cantor set contains no open intervals. Topologically this is better anyway: it's a nowhere dense set.
      Permalink On twitter.com Twitter logo StevenXClontz’s avatar Mood +1 🙂
  1. …in reply to @StevenXClontz
    @Thalesdisciple e.g. if f is constant on an open interval, then f'=0 on that interval.
    On twitter.com Twitter logo StevenXClontz’s avatar Mood 0
    1. …in reply to @StevenXClontz
      @Thalesdisciple Actually that fact is false for the endpoints anyway: the derivative could be 0 or undefined.
      Permalink On twitter.com Twitter logo StevenXClontz’s avatar Mood -1 🙁