field in its various senses, including:; a wide open space / field in its various senses, including:; an area of study / field in its various senses, including:; a vector field, tensor field, or scalar field (but not a commutative ring with identity for which every nonzero element has a multiplicative inverse, cf. corps) / field in its various senses, including:; the background of a shield's design / field in its various senses, including:; field in its various senses, including