SymPy | Permutation.is_odd() in Python

SymPy | Permutation.is_even() in Python

Last Updated : 26 Aug, 2019

Permutation.is_even() : is_even() is a sympy Python library function that checks whether the permutation is even.

Syntax : sympy.combinatorics.permutations.Permutation.is_even() Return : true - if the permutation is even; otherwise false

Code #1 : is_even() Example

Python3 1=1

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

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

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

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

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


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

Output :

Permutation a - is_even form : True Permutation b - is_even form : False

Code #2 : is_even() Example - 2D Permutation

Python3 1=1

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

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

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

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


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

Output :

Permutation a - is_even form : True

SymPy | Permutation.is_odd() in Python

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