任にん意い

noun which may take the genitive case particle 'no', na-adjective, noun

optional; voluntary; any; arbitrary

General use: something left to one's own choice, not compulsory, or freely selectable. Covers 'optional', 'voluntary', 'discretionary', and 'any' in the sense of 'any one you like'.

• 参さん加かは任にん意いです。

  Participation is optional.

• 任にん意いの数すう字じを選えらんでください。

  Please choose any number.

noun which may take the genitive case particle 'no', na-adjective, noun

arbitrary

Mathematics: an arbitrary element or value chosen without specific constraints.

• 任にん意いの実じっ数すう x に対たいして、この不ふ等とう式しきが成なり立たつ。

  For any real number x, this inequality holds.