Codomains

Part of speech: noun, plural

Definitions

1. A set of possible output values associated with a function or mapping that defines the range of the dependent variable
2. In mathematics, the entirety of targets that a function can produce from its inputs, reflecting the relationship between domain and function
3. The collection of all potential results that can stem from applying a specific function to its input values, determining the output's scope

Etymology: "Domain" began as a word for lordship. Latin "dominium" meant ownership or rule, from "dominus", master or lord. It passed through Old French "demaine" and Middle English "demayne" before becoming English "domain", a territory a lord controlled, and later any sphere of influence or knowledge. The prefix co- comes from Latin "con-", meaning "together" or "with". Joined to domain, it names a companion realm. In mathematics, a function's domain holds the inputs, and its codomain is the set in which all the possible outputs must lie. Codomains is simply the plural, referring to several such sets across different functions.