Partition of numbers

Partition \Par*ti"tion\, n. [F. partition, L. partitio. See
   {Part}, v.]
   1. The act of parting or dividing; the state of being parted;
      separation; division; distribution; as, the partition of a
      kingdom.
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            And good from bad find no partition.  --Shak.
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   2. That which divides or separates; that by which different
      things, or distinct parts of the same thing, are
      separated; separating boundary; dividing line or space;
      specifically, an interior wall dividing one part or
      apartment of a house, a compartment of a room, an
      inclosure, or the like, from another; as, a brick
      partition; lath and plaster partitions; cubicles with
      four-foot high partitions.
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            No sight could pass
            Betwixt the nice partitions of the grass. --Dryden.
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   3. A part divided off by walls; an apartment; a compartment.
      [R.] "Lodged in a small partition." --Milton.
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   4. (Law.) The severance of common or undivided interests,
      particularly in real estate. It may be effected by consent
      of parties, or by compulsion of law.
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   5. (Mus.) A score.
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   {Partition of numbers} (Math.), the resolution of integers
      into parts subject to given conditions. --Brande & C.
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