SymPy | Permutation.is_Identity() in Python

SymPy | Permutation.is_Empty() in Python

Last Updated : 26 Aug, 2019

Permutation.is_Empty() : is_Empty() is a sympy Python library function that checks whether the permutation is a set with zero elements.

Syntax : sympy.combinatorics.permutations.Permutation.is_Empty() Return : true : if empty; otherwise false

Code #1 : is_Empty() Example

Python3 1=1

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

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

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

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

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


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

Output :

Permutation a - is_Empty form : False Permutation b - is_Empty form : False

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

Python3 1=1

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

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

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

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


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

Output :

Permutation a - is_Empty form : False

SymPy | Permutation.is_Identity() in Python

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