One of these sets is divided into simpler regions in Schwarz methods, which fall under a class of methods named for the “decomposition” of these sets. In complex analysis, either “region” or the word for this type of set also refers to a nonempty open connected set. One of these sets can be extended while preserving a norm dominance condition via the Hahn–Banach theorem. In complex analysis, one of these sets is extended via analytic continuation. One of these sets must be at least as large as a related set for a surjection and no larger for an injection. In a common visualization, arrows point rightward from an oval representing one of these sets to an oval representing a related set prefixed “co.” For 10 points, give this term for the set of all inputs to a function, which maps to its range. ■END■
ANSWER: domains [accept natural domains or domains of definition; prompt on dom; prompt on inputs to a function until read; prompt on arguments of a function; prompt on basis]
<TM, Other Science>
= Average correct buzz position