SymPy | Permutation.is_odd() in Python

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

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

Return : true – if the permutation is odd; otherwise false



Code #1 : is_odd() Example

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# Python code explaining
# SymPy.Permutation.is_odd()
  
# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation
  
# Using from sympy.combinatorics.permutations.Permutation.is_odd() method 
  
# creating Permutation
a = Permutation([[2, 0], [3, 1]])
  
b = Permutation([1, 3, 5, 4, 2, 0])
  
  
print ("Permutation a - is_odd form : ", a.is_odd)
print ("Permutation b - is_odd form : ", b.is_odd)

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Output :

Permutation a – is_odd form : False
Permutation b – is_odd form : True

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

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# Python code explaining
# SymPy.Permutation.is_odd()
  
# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation
  
# Using from sympy.combinatorics.permutations.Permutation.is_odd() method 
  
# creating Permutation
a = Permutation([[2, 4, 0], 
                 [3, 1, 2],
                 [1, 5, 6]])
  
  
print ("Permutation a - is_odd form : ", a.is_odd)

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Output :

Permutation a – is_odd form : False



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