The compound adjective 'time-dependent' is a modern scientific and technical formation built from core English elements. Its first element, 'time', descends from the Old English concept of a period or season. The second element, 'depend', originates from the Latin notion of hanging down from something, thus being contingent upon it. The suffix '-ent' solidifies this relationship into an adjectival form. The logic of the word is transparently literal: it describes a property that "hangs from" or is contingent upon time, evolving from these concrete roots to describe abstract relationships in systems where outcomes vary with temporal progression.

Structure: time (noun) + depend (verb) + ent (adjective suffix) - time: From Old English 'tīma', of Germanic origin; related to 'tide'. The noun denoting a measurable period. - depend: From Latin 'dependēre', from 'de-' (down) + 'pendēre' (to hang). The verb meaning to be controlled or determined by. - ent: From Latin '-ent-', present participial suffix, forming adjectives meaning "that does or undergoes (the action of the verb)".