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analysis

3 definitions found

From The Collaborative International Dictionary of English v.0.48 [gcide]:

Mathematics \Math'e*mat"ics\, noun [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.

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.

From The Collaborative International Dictionary of English v.0.48 [gcide]:

Analysis \A*nal"y*sis\, noun; 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 original elements; an examination of the component parts of a subject, each separately, as the words which compose a sentence, the tones of a tune, or the simple propositions which enter into an argument. It is opposed to {synthesis}.

2. (Chem.) The separation of a compound substance, by chemical processes, into its constituents, with a view to ascertain either (a) what elements it contains, or (b) how much of each element is present. The former is called {qualitative}, and the latter {quantitative analysis}.

3. (Logic) The tracing of things to their source, and the resolving of knowledge into its original principles.

4. (Math.) The resolving of problems by reducing the conditions that are in them to equations.

5. (a) A syllabus, or table of the principal heads of a discourse, disposed in their natural order. (b) A brief, methodical illustration of the principles of a science. In this sense it is nearly synonymous with synopsis.

6. (Nat. Hist.) The process of ascertaining the name of a species, or its place in a system of classification, by means of an analytical table or key.

{Ultimate}, {Proximate}, {Qualitative}, {Quantitative}, and {Volumetric analysis}. (Chem.) See under {Ultimate}, {Proximate}, {Qualitative}, etc.

From WordNet (r) 3.0 (2006) [wn]:

analysis

noun

1: an investigation of the component parts of a whole and their relations in making up the whole

2: the abstract separation of a whole into its constituent parts in order to study the parts and their relations [syn: {analysis}, {analytic thinking}] [ant: {synthesis}, {synthetic thinking}]

3: a form of literary criticism in which the structure of a piece of writing is analyzed

4: the use of closed-class words instead of inflections: e.g., 'the father of the bride' instead of 'the bride's father'

5: a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation

6: a set of techniques for exploring underlying motives and a method of treating various mental disorders; based on the theories of Sigmund Freud; "his physician recommended psychoanalysis" [syn: {psychoanalysis}, {analysis}, {depth psychology}]

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Definitions retrieved from the Open Source DICT Webster's English and WordNet 3.0 dictionaries. Click here for database copyright information.

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