the separating of any material or abstract entity into its constituent elements (opposed to synthesis).

this process as a method of studying the nature of something or of determining its essential features and their relations: the grammatical analysis of a sentence.

a presentation, usually in writing, of the results of this process: The paper published an analysis 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 method of proving a proposition by assuming the result and working backward to something that is known to be true.Compare synthesis(def 4).

Chemistry.

intentionally produced decomposition or separation of materials into their ingredients or elements, as to find their kind or quantity.

the ascertainment of the kind or amount of one or more of the constituents of materials, whether obtained in separate form or not.Compare qualitative analysis, quantitative analysis.

the decomposition of a substance into its elements, radicals, or other constituents in order to determine the kinds of constituents present (qualitative analysis) or the amount of each constituent (quantitative analysis)

the result obtained by such a determination

linguisticsthe use of word order together with word function to express syntactic relations in a language, as opposed to the use of inflectionsCompare synthesis (def. 4)

mathsthe branch of mathematics principally 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 itCompare synthesis (def. 6a)

in the last analysis, in the final analysisorin the ultimate analysisafter everything has been given due consideration

SEE MORESEE LESS

Word Origin for analysis

C16: from New Latin, from Greek analusis, literally: a dissolving, from analuein, from ana- + luein to loosen

The separation of a substance into its constituent elements, usually by chemical means, for the study and identification of each component.♦ Qualitative analysis determines what substances are present in a compound.♦ Quantitative analysis determines how much of each substance is present in a compound.

A branch of mathematics concerned with limits and convergence and principally involving differential calculus, integral calculus, sequences, and series.