Singular Manual: part

| #### D.5.2.52 part Procedure from library `chern.lib` (see chern_lib). Usage: part( m, n ); m positive integer, n non-negative integer Return: list of lists Purpose: computes all partitions of integers not exceeding n into m non-negative summands Note: if n is negative or m is non-positive, the list with one empty entry is returned Example:
    LIB "chern.lib";
    // partitions into 3 summands of numbers not exceeding 1
    print( part(3, 1) );
    ==> [1]:
    ==>    [1]:
    ==>       0
    ==>    [2]:
    ==>       0
    ==>    [3]:
    ==>       0
    ==> [2]:
    ==>    [1]:
    ==>       0
    ==>    [2]:
    ==>       0
    ==>    [3]:
    ==>       1
    ==> [3]:
    ==>    [1]:
    ==>       0
    ==>    [2]:
    ==>       1
    ==>    [3]:
    ==>       1
    ==> [4]:
    ==>    [1]:
    ==>       1
    ==>    [2]:
    ==>       1
    ==>    [3]:
    ==>       1

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