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Adjective: arbitrary  'aar-bu,tre-ree [N. Amer], aa-bu-t(ru-)ree [Brit]
  1. Based on or subject to individual discretion or preference or sometimes impulse or caprice
    "an arbitrary decision"; "the arbitrary rule of a dictator"; "an arbitrary penalty"; "of arbitrary size and shape"; "an arbitrary choice"; "arbitrary division of the group into halves"
     
  2. (technical) having any value or form, of any degree or extent
    "an arbitrary function"

See also: absolute, capricious, discretional, discretionary, impulsive, vagarious, whimsical

Antonym: nonarbitrary

Encyclopedia: Arbitrary, capricious and unreasonable