arbitrarily

Without a clear reason, rule, or plan.

• She arbitrarily chose the first name.
• The rules were changed arbitrarily.
• You cannot arbitrarily dismiss people you dislike.

Similar words: randomly, at will

Common phrases: arbitrarily chosen, arbitrarily select something, arbitrarily assigned

To any chosen degree, however large or small.

• The number can be arbitrarily large.
• We can make the error arbitrarily small.
• These values come arbitrarily close to zero.

How to use it: arbitrarily + adjective (The distance can be arbitrarily small.)

Common phrases: arbitrarily large, arbitrarily small, arbitrarily close