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combinat[partition] - partition an integer
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Calling Sequence
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partition(n, m)
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Parameters
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n
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non-negative integer; integer to partition
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m
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(optional) non-negative integer; maximum integer in partitions
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Description
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The procedure partition partitions an integer n into all possible sums without regard to order. The output is a list of lists of integers where the sum of the elements in each list is n.
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See the function numbpart, which computes the number of partitions.
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The command with(combinat,partition) allows the use of the abbreviated form of this command.
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Examples
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>
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![[partition]](/support/helpjp/helpview.aspx?si=7028/file03557/math71.png)
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![[[]]](/support/helpjp/helpview.aspx?si=7028/file03557/math78.png)
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![[[1, 1, 1], [1, 2], [3]]](/support/helpjp/helpview.aspx?si=7028/file03557/math85.png)
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![[[1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 2], [1, 1, 2, 2], [2, 2, 2], [1, 1, 1, 3], [1, 2, 3], [3, 3]]](/support/helpjp/helpview.aspx?si=7028/file03557/math92.png)
| (4) |
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