From the examples provided my interpretation of Remix is to not change the original contents meaning but add a creative twist to it or a fresh idea to it.  I have always been exposed to remixes because of my love of music.  Usually in songs a remix involves maybe changing the beat a little bit but the chorus remains the same and maybe even adding more artist to this version than what was on the original.  I especially liked the mix of the vampires I have never watched any of the Twilight movies but I felt familiar with it because I did grow up watching Buffy the Vampire Slayer.  The examples gave me a new perspective of the term remix I never would have thought that changing a video and adding things would be considered a remix but I am pleasantly surprised.