Partition.RGS_generalized() : RGS_generalized() is a sympy Python library function that calculates the m + 1 generalized unrestricted growth strings (string where a[i] is the block in which element i occurs) and then return it as rows in matrix.
Restricted growth strings – string in which each character, ai results in the Block (Bi) in which the corresponding element belongs.
Syntax : sympy.combinatorics.partitions.Partition.RGS_generalized()
Return : generalized unrestricted growth strings as row of matrix.
Code #1 : RGS_generalized() Example
] # Python code explaining # SymPy.RGS_generalized() # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.partitions import RGS_generalized # Using from sympy.combinatorics.partitions.Partition.RGS_generalized() method p = RGS_generalized(3) print ("Row of Matrix : \n", p) |
Output :
Row of Matrix :
Matrix([[1, 1, 1, 1], [1, 2, 3, 0], [2, 5, 0, 0], [5, 0, 0, 0]])
Code #2 : RGS_generalized() Example
] # Python code explaining # SymPy.RGS_generalized() # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.partitions import RGS_generalized # Using from sympy.combinatorics.partitions.Partition.RGS_generalized() method p = RGS_generalized(-1) print ("Row of Matrix : \n", p) |
Output :
Row of Matrix :
Matrix(0, 0, [])
