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Adverb: arbitrarily  'aarbi`trerulee [N. Amer], 'aabit(`re)rulee [Brit]
  1. In a random manner
    - randomly, indiscriminately, haphazardly, willy-nilly, at random, every which way
     
  2. (technical) taking any value, without any limit
    "the function can be arbitrarily large"

Encyclopedia: Arbitrarily