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: analytic thinking] [ant: synthesis]
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, depth psychology]
Based on WordNet 2.0
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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 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.
Based on Webster's Revised Unabridged Dictionary
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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.
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.
Based on Webster's Revised Unabridged Dictionary
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Analysis : Analysis: A psychology term for processes used to gain understanding of complex emotional or behavioral issues.
Based on Webster's Revised Unabridged Dictionary (1913)
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