Semi-infinite Definition

sĕmē-ĭnfə-nĭt, sĕmī-
adjective
Unbounded in one direction or dimension.
American Heritage

(mathematics, in optimization programming) Involving a finite number of variables but an infinite number of constraints, or vice versa.

Wiktionary

(ballistics, of a target) Sufficiently thick that the level of penetration of a projectile is not affected by its thickness.

Wiktionary

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semi-infinite