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analysis
1: separation of a whole into its component parts2 a: the identification or separation of ingredients of a substance b: a statement of the constituents of a mixture3 a: proof of a mathematical proposition by assuming the result and deducing a valid statement by a series of reversible steps b
(1): a branch of mathematics concerned mainly with limits, continuity, and infinite series
(2): calculus 1b4 a: an examination of a complex, its elements, and their relations b: a statement of such an analysis5 a: a method in philosophy of resolving complex expressions into simpler or more basic ones b: clarification of an expression by an elucidation of its use in discourse6: the use of function words instead of inflectional forms as a characteristic device of a language7: psychoanalysis
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