(number theory, algebraic number theory) A number field obtained by adjoining a primitive root of unity to the field of rational numbers.

(algebra, field theory) A field L which contains a subfield K, called the base field, from which it is generated by adjoining extra elements.

An artillery piece, originally a smaller gun that could accompany a field army on the march and when in combat could be moved about the battlefield in response to changing circumstances.

plural of field gun

(sports) A variety of lacrosse played on a grassy field, outdoors.

plural of field guide

A book intended to help the reader to identify wildlife, or other natural objects, in the field.

A contest between gun dogs / A practical test, especially one conducted in the wild

plural of field work

(US) Any variety of corn grown primarily for fodder.