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analyse (v.)

chiefly British English spelling of analyze (q.v.), which was the former spelling there (as in Johnson's dictionary). In 17c. analize also was used.

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]

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Definitions of analyse from WordNet

analyse (v.)
consider in detail and subject to an analysis in order to discover essential features or meaning;
Synonyms: analyze / study / examine / canvass
analyse (v.)
break down into components or essential features;
Synonyms: analyze
analyse (v.)
make a mathematical, chemical, or grammatical analysis of; break down into components or essential features;
Synonyms: analyze / break down / dissect / take apart
analyse (v.)
subject to psychoanalytic treatment;
Synonyms: analyze / psychoanalyze / psychoanalyse
From wordnet.princeton.edu