SymPy | Permutation.is_Singleton() in Python

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Permutation.is_Singleton() : is_Singleton() is a sympy Python library function that checks whether the permutation contains only one single element.

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

Return : true – if permutation is having only one element; otherwise false

Code #1 : is_Singleton() Example

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

Output :

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

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

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