analysis

== English == === Etymology === From Medieval Latin analysis, from Ancient Greek ἀνάλυσις (análusis), from ἀναλύω (analúō, “to unravel, investigate”), from ἀνα- (ana-, “thoroughly”) + λύω (lúō, “to loosen”). === Pronunciation === (Received Pronunciation, General American, Canada) IPA(key): /əˈnæləsɪs/, /əˈnælɪsɪs/ (Standard Southern British) IPA(key): /əˈnaləsɪs/, /əˈnalɪsɪs/ (Australian) IPA(key): /əˈnæləsɪs/ (New Zealand) IPA(key): /əˈnɛləsəs/ (Hong Kong) IPA(key): /æˈnɑləsɪs/ Hyphenation: anal‧y‧sis === Noun === analysis (countable and uncountable, plural analyses) (countable) Decomposition into components in order to study (a complex thing, concept, theory, etc.). comparative analysis (countable) The result of such a process. (uncountable, mathematics) A broad field of study in modern mathematics (often mentioned alongside algebra) which developed out of the calculus, concerned with the behavior of functions, sequences, series, limits, metric spaces, measures and more. Synonym: mathematical analysis (countable, logic) Proof by deduction from known truths. (countable, analytical chemistry, physical chemistry) The process of breaking down a substance into its constituent parts, or the result of this process. (uncountable, music) The analytical study of melodies, harmonies, sequences, repetitions, variations, quotations, juxtapositions, and surprises. (countable, psychology) Psychoanalysis. ==== Antonyms ==== synthesis ==== Hyponyms ==== cryptanalysis (cryptography); psychoanalysis (psychiatry); hermeneutics (understanding, esp. textual interpretation); pilpul, pilpulism (Talmudic) ==== Derived terms ==== ==== Related terms ==== analyse, analyze analyst analyte analytic ==== Translations ==== === See also === List of terms used in mathematical analysis == Latin == === Etymology === From Ancient Greek ἀνάλυσις (análusis), from ἀναλύω (analúō, “to unravel, investigate”), from ἀνά (aná, “on, up”) + λύω (lúō, “to loosen”). === Pronunciation === (Classical Latin) IPA(key): [aˈna.ly.sɪs] (modern Italianate Ecclesiastical) IPA(key): [aˈnaː.li.s̬is] === Noun === analysis f (genitive analysis or analyseōs or analysios); third declension (Medieval Latin, mathematics) analysis ==== Declension ==== Third-declension noun (Greek-type, i-stem). 1Found sometimes in Medieval and New Latin. ==== Descendants ====