the separating of any material or abstract entity into its constituent elements (opposed to synthesis).
2.
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.
3.
a presentation, usually in writing, of the results of this process: The paper published an analysis of the political situation.
4.
a philosophical method of exhibiting complex concepts or propositions as compounds or functions of more basic ones.
5.
Mathematics.
a.
an investigation based on the properties of numbers.
b.
the discussion of a problem by algebra, as opposed to geometry.
c.
the branch of mathematics consisting of calculus and its higher developments.
d.
a system of calculation, as combinatorial analysis or vector analysis.
e.
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).
6.
Chemistry.
a.
intentionally produced decomposition or separation of materials into their ingredients or elements, as to find their kind or quantity.
b.
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 separation of an intellectual or material whole into its constituent parts for individual study.
The study of such constituent parts and their interrelationships in making up a whole.
A spoken or written presentation of such study: published an analysis of poetic meter.
The separation of a substance into its constituent elements to determine either their nature (qualitative analysis) or their proportions (quantitative analysis).
The stated findings of such a separation or determination.
A branch of mathematics principally involving differential and integral calculus, sequences, and series and concerned with limits and convergence.
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.
Chemistry
The separation of a substance into its constituent elements to determine either their nature (qualitative analysis) or their proportions (quantitative analysis).
The stated findings of such a separation or determination.
A branch of mathematics principally involving differential and integral calculus, sequences, and series and concerned with limits and convergence.
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.
Mathematics
A branch of mathematics principally involving differential and integral calculus, sequences, and series and concerned with limits and convergence.
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.
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.
Psychoanalysis.
Systems analysis.
[Medieval Latin, from Greek analusis, a dissolving, from analūein, to undo : ana-, throughout; see ana- + lūein, to loosen; see leu- in Indo-European roots.]
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.
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