in Mathematics, the remainder of a sum or quantity after a lesser number or quantity has been subtracted from it.
in Logic, an essential attribute, belonging to some species, and not found in the genus; being the idea that defines the species. Thus body and spirit are the two species of substance, which in their ideas include something more than is included in the idea of substance. In body, for instance, are found impenetrability and extension; and in spirit, a power of thinking and reasoning; so that the difference of body is impenetrable extension, and the difference of spirit is cognition.
in Heraldry, a term given to a certain figure added to coats of arms, serving to distinguish one family from another, or to show how distant a younger branch is from the elder or principal branch.