SymPy | Permutation.rmul() in Python

Permutation.rmul() : rmul() is a sympy Python library function that returns the product of the permutation.

Syntax : sympy.combinatorics.permutations.Permutation.rmul()

Return : product of the permutation.

Code #1 : rmul() Example

# Python code explaining
# SymPy.Permutation.rmul()

# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation

# Using from sympy.combinatorics.permutations.Permutation.rmul() method

# creating Permutation
a = Permutation([[2, 0], [3, 1]])

b = Permutation([1, 3, 5, 4, 2, 0])


print ("Permutation a - rmul form : ", a.rmul(b))
print ("Permutation b - rmul form : ", b.rmul(a))

Output :

Permutation a – rmul form : (0 1 3 4 2 5)
Permutation b – rmul form : (0 2)(1 3)

Code #2 : rmul() Example – 2D Permutation

# Python code explaining
# SymPy.Permutation.rmul()

# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation

# Using from
# sympy.combinatorics.permutations.Permutation.rmul() method

# creating Permutation
a = Permutation([[2, 4, 0],
                 [3, 1, 2],
                 [1, 5, 6]])


print ("Permutation a - rmul form : ", a.rmul(a))

Output :

Permutation a – rmul form : (0 3 5 6 1 2 4)