1. 1. The separation of an intellectual or material whole into its constituent parts for individual study.
   2. The study of such constituent parts and their interrelationships in making up a whole.
   3. A spoken or written presentation of such study: published an analysis of poetic meter.
2. Chemistry.
   1. The separation of a substance into its constituent elements to determine either their nature (qualitative analysis) or their proportions (quantitative analysis).
   2. The stated findings of such a separation or determination.
3. Mathematics.
   1. A branch of mathematics principally involving differential and integral calculus, sequences, and series and concerned with limits and convergence.
   2. The method of proof in which a known truth is sought as a consequence of a series of deductions from that which is the thing to be proved.
4. Linguistics. The use of function words such as prepositions, pronouns, or auxiliary verbs instead of inflectional endings to express a grammatical relationship; for example, the cover of the dictionary instead of the dictionary's cover.
5. Psychoanalysis.
6. Systems analysis.

[Medieval Latin, from Greek analusis, a dissolving, from analūein, to undo : ana-, throughout; see ana- + lūein, to loosen.]

The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2007, 2000 by Houghton Mifflin Company. Updated in 2009. Published by Houghton Mifflin Company. All rights reserved.