SymPy | Permutation.mul_inv() in Python

Permutation.mul_inv() : mul_inv() is a sympy Python library function that returns the mul inverse other*~self, self and other have _array_form.

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

Return : the mul inverse other*~self, self and other have _array_form.

Code #1 : mul_inv() Example

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

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

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

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

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


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

Output :

Permutation a – mul_inv form : (3)
Permutation b – mul_inv form : (5)

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

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

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

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

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


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

Output :

Permutation a – mul_inv form : (6)