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to separate (a material or abstract entity) into constituent parts or elements; determine the elements or essential features of (opposed to ):
to analyze an argument.
to examine critically, so as to bring out the essential elements or give the essence of:
to analyze 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 analyzed by two therapists.
Historical Examples

analyse this statement in its bearing upon the play-producing societies.
Punch or the London Charivari, Vol. 158, March 24, 1920. Various

analyse the case, and then take both sides in turn, attacking and defending.’
Meditations Marcus Aurelius

analyse the differences of opinion implied in the above passage.
Logic Carveth Read

analyse the causes that the ludicrous weakens memory, and laughter, mechanically, makes it difficult to remember a good story.
Anima Poet Samuel Taylor Coleridge

analyse him with syntax and dictionary, and you will find “mistakes” and startling neology.
August Strindberg, the Spirit of Revolt L. (Lizzy) Lind-af-Hageby

analyse the seeds with the finest tools, and let the solar microscope come in aid of your senses, what do you find?
English Critical Essays Various

The work here referred to is the analyse des quations dtermines (Paris, 1831).
A Budget of Paradoxes, Volume II (of II) Augustus de Morgan

verb (transitive)
to examine in detail in order to discover meaning, essential features, etc
to break down into components or essential features: to analyse a financial structure
to make a mathematical, chemical, grammatical, etc, analysis of
another word for psychoanalyse
v.

chiefly British English spelling of analyze (q.v.).

Analyse is better than analyze, but merely as being the one of the two equally indefensible forms that has won. The correct but now impossible form would be analysize (or analysise), with analysist for existing analyst. [Fowler]

v.

c.1600, “to dissect,” from French analyser, from analyse (see analysis). 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: Analyzed; analyzing.