Ultimate analysis

Ultimate \Ul"ti*mate\, a. [LL. ultimatus last, extreme, fr. L.
   ultimare to come to an end, fr. ultimus the farthest, last,
   superl. from the same source as ulterior. See {Ulterior}, and
   cf. {Ultimatum}.]
   1. Farthest; most remote in space or time; extreme; last;
      final.
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            My harbor, and my ultimate repose.    --Milton.
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            Many actions apt to procure fame are not conductive
            to this our ultimate happiness.       --Addison.
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   2. Last in a train of progression or consequences; tended
      toward by all that precedes; arrived at, as the last
      result; final.
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            Those ultimate truths and those universal laws of
            thought which we can not rationally contradict.
                                                  --Coleridge.
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   3. Incapable of further analysis; incapable of further
      division or separation; constituent; elemental; as, an
      ultimate particle; an ultimate constituent of matter.
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   {Ultimate analysis} (Chem.), organic analysis. See under
      {Organic}.

   {Ultimate belief}. See under {Belief}.

   {Ultimate ratio} (Math.), the limiting value of a ratio, or
      that toward which a series tends, and which it does not
      pass.
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   Syn: Final; conclusive. See {Final}.
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