They are technically the same thing, except if someone is apparating away from you then they are dissaparating, but if they are apparating to you then it is refered to as apparition. BTW great question!
Apparition is the act of magically appearing or teleporting to a different location, while disapparition is the act of magically disappearing or teleporting away from a location. Apparition involves arriving at a destination, while disapparition involves leaving a location. Both are forms of magical transportation in the Harry Potter series.
apparation
Apparation
Apparation or Disapparation.
Apparation and Disapparation or at least I believe that this is the answer to your question.
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