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.
the separating of any material or abstract ent-ty into its const-tuent elements (opposed to ).
this process as a method of studying the nature of something or of determining its essential features and their relations:
the grammatical -n-lysis of a sentence.
a presentation, usually in writing, of the results of this process:
the paper published an -n-lysis of the political situation.
a philosophical method of exhibiting complex concepts or propositions as compounds or functions of more basic ones.
mathematics.

an investigation based on the properties of numbers.
the discussion of a problem by algebra, as opposed to geometry.
the branch of mathematics consisting of calculus and its higher developments.
a system of calculation, as or .
a method of proving a proposition by -ssuming the result and working backward to something that is known to be true.
compare (def 4).

chemistry.

intentionally produced decomposition or separation of materials into their ingredients or elements, as to find their kind or quant-ty.
the ascertainment of the kind or amount of one or more of the const-tuents of materials, whether obtained in separate form or not.
compare , .

.
computers. .
to separate (a material or abstract ent-ty) into const-tuent parts or elements; determine the elements or essential features of (opposed to ):
to -n-lyze an argument.
to examine critically, so as to bring out the essential elements or give the essence of:
to -n-lyze a poem.
to examine carefully and in detail so as to identify causes, key factors, possible results, etc.
to subject to mathematical, chemical, grammatical, etc., .
to :
a patient who has been -n-lyzed by two therapists.
historical examples

-n-lyses, text-books, lectures are not the powers with the young mind.
loyola and the educational system of the jesuits thomas hughes

-n-lyses have been made of mayinit salt as prepared by the crude method of the igorot.
the bontoc igorot albert ernest jenks

-n-lyses and commentaries have been multiplied, but they kill the spirit by taking it in detail.
michelangelo romain rolland

-n-lyses of contents from stomachs gave approximately the same results as those from intestines.
american weasels e. raymond hall

-n-lyses of the tissues of plants show that they contain all of the elements that are to be found in the soil on which they grew.
the chemistry of plant life roscoe wilfred thatcher

-n-lyses of rain water made in different parts of the world show from one to nine pounds of such substances per acre per annum.
meteorology charles fitzhugh talman

-n-lyses show that the fruit of the species is deficient in sugar and acid.
the grapes of new york u. p. hedrick

-n-lyses by wet way are made upon tables, with various sorts of vessels.
scientific american supplement, vol. xix, no. 470, jan. 3, 1885 various

-n-lyses of the halberd blades show that the metal of which they are composed does not differ much from that of the copper celts.
the bronze age in ireland george coffey

-n-lyses of this plant under both conditions show a striking difference.
scientific american supplement, no. 623, december 10, 1887 various

verb (transitive)
to examine in detail in order to discover meaning, essential features, etc
to break down into components or essential features: to -n-lyse a financial structure
to make a mathematical, chemical, grammatical, etc, -n-lysis of
another word for psycho-n-lyse
noun (pl) -ses (-ˌsiːz)
the division of a physical or abstract whole into its const-tuent parts to examine or determine their relationship or value compare synthesis (sense 1)
a statement of the results of this
short for psycho-n-lysis
(chem)

the decomposition of a substance into its elements, radicals, or other const-tuents in order to determine the kinds of const-tuents present (qualitative -n-lysis) or the amount of each const-tuent (quant-tative -n-lysis)
the result obtained by such a determination

(linguistics) the use of word order together with word function to express syntactic relations in a language, as opposed to the use of inflections compare synthesis (sense 4)
(maths) the branch of mathematics princ-p-lly concerned with the properties of functions, largely arising out of calculus
(philosophy) (in the writings of kant) the separation of a concept from another that contains it compare synthesis (sense 6a)
in the last -n-lysis, in the final -n-lysis, in the ultimate -n-lysis, after everything has been given due consideration
n.

1580s, “resolution of anything complex into simple elements” (opposite of synthesis), from medieval latin -n-lysis (15c.), from greek -n-lysis “a breaking up, a loosening, releasing,” noun of action from -n-lyein “unloose, release, set free; to loose a ship from its moorings,” in aristotle, “to -n-lyze,” from ana “up, throughout” (see ana-) + lysis “a loosening,” from lyein “to unfasten” (see lose). psychological sense is from 1890. phrase in the final (or last) -n-lysis (1844), translates french en dernière -n-lyse.
v.

chiefly british english spelling of -n-lyze (q.v.).

-n-lyse is better than -n-lyze, but merely as being the one of the two equally indefensible forms that has won. the correct but now impossible form would be -n-lysize (or -n-lysise), with -n-lysist for existing -n-lyst. [fowler]

v.

c.1600, “to dissect,” from french -n-lyser, from -n-lyse (see -n-lysis). literature sense is attested from 1610s; meaning in chemistry dates from 1660s. general sense of “to examine closely” dates from 1809; psychological sense is from 1909. related: -n-lyzed; -n-lyzing.

-n-lysis a·nal·y·sis (ə-nāl’ĭ-sĭs)
n. pl. a·nal·y·ses (-sēz’)

the separation of a whole into its const-tuent parts for individual study.

the separation of a substance into its const-tuent elements to determine either their nature or proportions.

the stated findings of such a separation or determination.

psycho-n-lysis.

-n-lysis
(ə-nāl’ĭ-sĭs)

the separation of a substance into its const-tuent elements, usually by chemical means, for the study and identification of each component. ◇ qualitative -n-lysis determines what substances are present in a compound. ◇ quant-tative -n-lysis determines how much of each substance is present in a compound.

a branch of mathematics concerned with limits and convergence and princ-p-lly involving differential calculus, integral calculus, sequences, and series.