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Webster 1913 Edition


Analysis

A-nal′y-sis

,
Noun.
;
pl.
Analyses
.
[Gr. [GREEK], fr. [GREEK] to unloose, to dissolve, to resolve into its elements; [GREEK] up + [GREEK] 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.

Webster 1828 Edition


Analysis

ANAL'YSIS

,
Noun.
[Gr. a loosing, or resolving, from to loosen. See Loose.]
1.
The separation of a compound body into its constituent parts; a resolving; as, an analysis of water, air or oil, to discover its elements.
2.
A consideration of anything in its separate parts; an examination of the different parts of a subject, each separately; as the words which compose a sentence, the notes of a tune, or the simple propositions which enter into an argument. It is opposed to synthesis.
In mathematics, analysis is the resolving of problems by algebraic equations. The analysis of finite quantities is otherwise called algebra, or specious arithmetic. The analysis of infinites is the method of fluxions, or the differential calculus.
In logic, analysis is the tracing of things to their source, and the resolving of knowledge into its original principles.
3.
A syllabus, or table of the principal heads of a continued discourse, disposed in their natural order.
4.
A brief, methodical illustration of the principles of a science. In this sense, it is nearly synonymous with synopsis.

Definition 2024


Analysis

Analysis

See also: analysis

German

Noun

Analysis f (genitive Analysis, no plural)

  1. (sciences) analysis

analysis

analysis

See also: Analysis

English

Noun

analysis (countable and uncountable, plural analyses)

  1. (countable) Decomposition into components in order to study (a complex thing, concept, theory etc.).
    • 2013 July-August, Philip J. Bushnell, Solvents, Ethanol, Car Crashes & Tolerance”, in American Scientist:
      Surprisingly, this analysis revealed that acute exposure to solvent vapors at concentrations below those associated with long-term effects appears to increase the risk of a fatal automobile accident. Furthermore, this increase in risk is comparable to the risk of death from leukemia after long-term exposure to benzene, another solvent, which has the well-known property of causing this type of cancer.
  2. (countable) The result of such a process.
    • 1988, Andrew Radford, Transformational grammar: a first course, Cambridge, UK: Cambridge University Press, page 214:
      Thus, in a sequence such as [French English teacher], since English is closer to
      the Head Noun teacher, it must be a Complement; and since French is further
      away from teacher, it must be an Attribute. Hence, we correctly predict that
      the only possible interpretation for [a French English teacher] is ‘a person who
      teaches English who is Frenchʼ. So our analysis not only has semantic plausi-
      bility; but in addition it has independent syntactic support.
  3. (uncountable, mathematics) The mathematical study of functions, sequences, series, limits, derivatives and integrals.
  4. (countable, logic) Proof by deduction from known truths.
  5. (countable, chemistry) The process of breaking down a substance into its constituent parts, or the result of this process.
  6. (uncountable, music) The analytical study of melodies, harmonies, sequences, repetitions, variations, quotations, juxtapositions, and surprises.
  7. (countable, psychology) Psychoanalysis.

Antonyms

Hyponyms

Derived terms

Related terms

Translations

  1. (countable) Decomposition into components in order to study (a complex thing, concept, theory etc.).

See also

  • List of terms used in mathematical analysis

Latin

Etymology

From Ancient Greek ἀνάλυσις (análusis), from ἀναλύω (analúō, I unravel, investigate), from ἀνά (aná, on, up) + λύω (lúō, I loosen).

Pronunciation

Noun

analysis f (genitive analysis); third declension

  1. (Medieval Latin, mathematics) analysis

Inflection

Third declension, alternative accusative singular in -im, alternative ablative singular in and accusative plural in -īs.

Case Singular Plural
nominative analysis analysēs
genitive analysis analysium
dative analysī analysibus
accusative analysem
analysim
analysēs
analysīs
ablative analyse
analysī
analysibus
vocative analysis analysēs

Descendants