# Analysis’s

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. .

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.

-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.

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- Analyt
. historical examples the phrase μετατιθεμένης τῆς ἀντιφάσεως is determined by a p-ssage in -n-lyt. aristotle george grote -n-lyt′ics, the name given by aristotle to his treatises on logic. chambers’s twentieth century dictionary (part 1 of 4: a-d) various to the same purpose zabarella expresses himself in an earlier portion of his commentary on the […]

- Analyte
-n-lyte -n-lyte an·a·lyte (ān’ə-līt’) n. a substance or chemical const-tuent that is undergoing -n-lysis.

- Analytic
pertaining to or proceeding by -n-lysis (opposed to ). skilled in or habitually using -n-lysis. (of a language) characterized by a relatively frequent use of function words, auxiliary verbs, and changes in word order to express syntactic relations, rather than of inflected forms. compare (def 3), (def 1). logic. (of a proposition) necessarily true because […]

- Analytic continuation
a method of finding a function that coincides with a given -n-lytic function in a domain and that remains -n-lytic in a larger domain. any function found by this method.

- Analytic geometry
a branch of mathematics in which algebraic procedures are applied to geometry and position is represented -n-lytically by coordinates. -n-lytic geometry (ān’ə-lĭt’ĭk) the use of algebra to solve problems in geometry, whereby geometric figures are represented by algebraic equations and plotted using coordinates.