# Analysis

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Analysis
Mathematics Math`e*mat"ics, n. [F. math['e]matiques, pl., L. mathematica, sing., Gr. ? (sc. ?) science. See {Mathematic}, and {-ics}.] That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations. [1913 Webster]

Note: Mathematics embraces three departments, namely: 1. {Arithmetic}. 2. {Geometry}, including {Trigonometry} and {Conic Sections}. 3. {Analysis}, in which letters are used, including {Algebra}, {Analytical Geometry}, and {Calculus}. Each of these divisions is divided into pure or abstract, which considers magnitude or quantity abstractly, without relation to matter; and mixed or applied, which treats of magnitude as subsisting in material bodies, and is consequently interwoven with physical considerations. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

Synonyms:

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• analysis — a‧nal‧y‧sis [əˈnælss] noun analyses PLURALFORM [ siːz] [countable, uncountable] 1. a careful examination of something in order to understand it better: • The researchers carried out a detailed analysis of recent trends in share prices. •… …   Financial and business terms

• Analysis — (from Greek ἀνάλυσις , a breaking up ) is the process of breaking a complex topic or substance into smaller parts to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle,… …   Wikipedia

• Analysis — • The process by which anything complex is resolved into simple, or at least less complex parts or elements Catholic Encyclopedia. Kevin Knight. 2006. Analysis     Analysis      …   Catholic encyclopedia

• Analysis — Analysis, der Teil der Mathematik, der alle Untersuchungen über die (positiven und negativen, ganzen und gebrochenen, rationalen und irrationalen, algebraischen und transzendenten, reellen und komplexen, konstanten und veränderlichen) Zahlen… …   Lexikon der gesamten Technik

• Analysis — Analysis, Auflösung, Zergliederung eines Ganzen in seine Theile, wie sie z.B. der Philosoph mit Begriffen, Urtheilen oder Systemen, der Chemiker mit einem zusammengesetzten Körper, der Grammatiker mit Wort und Satzformen vornimmt. – Die math.… …   Herders Conversations-Lexikon

• analysis — (n.) 1580s, resolution of anything complex into simple elements (opposite of synthesis), from M.L. analysis (15c.), from Gk. analysis a breaking up, a loosening, releasing, noun of action from analyein unloose, release, set free; to loose a ship… …   Etymology dictionary

• analysis — [ə nal′ə sis] n. pl. analyses [ə nal′əsēz΄] [ML < Gr, a dissolving < ana , up, throughout + lysis, a loosing < lyein, to loose: see LOSE] 1. a) a separating or breaking up of any whole into its parts, esp. with an examination of these… …   English World dictionary

• Analysis — A*nal y*sis, n.; pl. {Analyses}. [Gr. ?, fr. ? to unloose, to dissolve, to resolve into its elements; ? up + ? to loose. See {Loose}.] 1. A resolution of anything, whether an object of the senses or of the intellect, into its constituent or… …   The Collaborative International Dictionary of English

• analysis — I noun ascertainment, assay, audit, canvassing, close inquiry, consideration, critical examination, critique, delineation, dissection, examination, exhaustive inquiry, explicatio, exploration, inquiry, investigation, perusal, probe, research,… …   Law dictionary

• Analysis [1] — Analysis (Analyse, v. gr.), 1) Auflösung, Zerlegung in seine Theile, als Gegensatz der Synthesis; 2) Zergliederung organischer Körper in einzelne Theile, bes. von Pflanzen, auch von Thieren (hier Anatomie). 3) (Philos.), die Auflösung der… …   Pierer's Universal-Lexikon

• analysis — [n1] examination and determination assay, breakdown, dissection, dissolution, division, inquiry, investigation, partition, reasoning, resolution, scrutiny, search, separation, study, subdivision, test; concepts 24,103 analysis [n2] statement of… …   New thesaurus