SymPy | Permutation.is_Singleton() in Python

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)

Output :

Permutation a – is_Singleton form : False