(category theory) An object within a category which sends out arrows to all other objects in that category, and such that each of these arrows is unique.

plural of initial object

plural of initial point

(journalism, typography) A variant of title case in which every word begins with an upper-case letter and its other letters are lower-case.

(topology) Given a set X, a family of topological spaces (M_i,T_i)_(i∈I) and a family of functions f_i:X→M_i, the initial topology is the coarsest topology on X such that all f_i are continuous.

Alternative form of wordinitial

(linguistics) Having the head (primary morpheme) at the beginning of a phrase.

(manufacturing) An item that is not terminally defective but fails to meet the manufacturer's technical standards for sale through its normal retail channels.

plural of initial reject

(calculus) the problem of solving a (set of) ordinary differential equations accompanied by the requirement that the function sought (and possibly also one or more of its derivatives), taken for some value, equals some other specific value; graphically, (for example) the problem of finding that antiderivative of some function that passes through a particular point