To improve on

from The Collaborative International Dictionary of English v.0.48
Improve \Im*prove"\, v. i.
   1. To grow better; to advance or make progress in what is
      desirable; to make or show improvement; as, to improve in
      health.
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            We take care to improve in our frugality and
            diligence.                            --Atterbury.
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   2. To advance or progress in bad qualities; to grow worse.
      "Domitian improved in cruelty." --Milner.
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   3. To increase; to be enhanced; to rise in value; as, the
      price of cotton improves.
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   {To improve on} or {To improve upon}, to make useful
      additions or amendments to, or changes in; to bring nearer
      to perfection; as, to improve on the mode of tillage.
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