exhaustive

adj. comprehensive, thorough, all-embracing

Exhaust may refer to: In mathematics:Proof by exhaustion, proof by examining all individual casesExhaustion by compact sets, in analysis, a sequence of compact sets that converges on a given setCollectively exhaustive, in probability and set theory, a collection of sets whose union equals the complete spaceMethod of exhaustion, in geometry, finding the area of a shape by approximating it with polygons
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adj. exhaustive, comprehensive, thorough

(a.)
Serving or tending to exhaust; exhibiting all the facts or arguments; as, an exhaustive method.
  

Adjective
1. very thorough; exhaustively complete; "an exhaustive study"; "made a thorough search"; "thoroughgoing research"
(synonym) thorough, thoroughgoing
(similar) complete