The Collaborative International Dictionary of English v.0.48:

Analyze \An"a*lyze\, v. t. [imp. & p. p. Analyzed; p. pr. &
   vb. n. Analyzing.] [Cf. F. analyser. See Analysis.]
   1. To subject to analysis; to resolve (anything complex) into
      its elements; to separate into the constituent parts, for
      the purpose of an examination of each separately; to
      examine in such a manner as to ascertain the elements or
      nature of the thing examined; to consider in detail in
      order to discover essential features or meaning; as, to
      analyze an action to ascertain its morality; to analyse a
      sonnet by Shakespeare; to analyse the evidence in a
      criminal trial; to analyse your real motives.

   Syn: analyze, study, examine
        [1913 Webster + WordNet 1.5]

              No one, I presume, can analyze the sensations of
              pleasure or pain.                   --Darwin.
        [1913 Webster]

   2. make a mathematical, chemical, or grammatical analysis of;
      break down into components or essential features; as, to
      analyse a specimen; to analyze a fossil substance; to
      analyze a sentence or a word; to analyse a chemical
      compound.

   Syn: analyze, break down, dissect, take apart.
        [WordNet 1.5]

   3. subject to psychoanalytic treatment. I was analysed in
      Vienna by a famous psychiatrist

   Syn: analyze, psychoanalyze, psychoanalyse.
        [WordNet 1.5]

Moby Thesaurus II by Grady Ward, 1.0:

35 Moby Thesaurus words for "analyzing":
   EDP, appraisal, appraisement, appraising, appreciation, assessing,
   assessment, classifying, collating, computer technology,
   computer typesetting, computing, data processing, data retrieval,
   electronic data processing, estimate, estimation, evaluating,
   evaluation, evaluative criticism, gauging,
   high-speed data handling, machine computation, measurement,
   opinion, ranking, rating, reckoning, reporting, scanning, sorting,
   valuation, valuing, view, weighing