What is the meaning of the word "analyse"?

Definitions:

to break down into components or essential features verb
- I analyze today's financial market for the local paper.
to consider in detail and subject to an analysis in order to discover essential features or meaning verb
- You should analyze a sonnet by Shakespeare.
to make a mathematical, chemical, or grammatical analysis of verb
- They analyzed the text for errors.
to subject to psychoanalytic treatment verb
- I was analyzed in Vienna by a famous psychiatrist.