## Python sympy | sieve.extend() method

With the help of sympy.sieve.extend() method, we can grow the sieve to cover all the prime numbers less than equal to a given natural number.… Read More »

## Python sympy | sieve.extend_to_no() method

With the help of sympy.sieve.extend_to_no() method, we can extend the sieve to include the ith prime number. Note: The list is extended by 50% if… Read More »

## Python sympy | sieve.mobiusrange() method

With the help of sympy.sieve.mobiusrange() method, we can generate the mobius numbers for a given range [a, b). It returns a type generator object which… Read More »

## Python sympy | sieve.primerange() method

With the help of sympy.sieve.primerange() method, we can generate all prime numbers for a given range [a, b). It returns a type generator object which… Read More »

## Python sympy | sieve.totientrange() method

With the help of sympy.sieve.totientrange() method, we can generate all totient numbers for a given range [a, b). It returns a type generator object which… Read More »

## Python sympy | sieve.search() method

With the help of sympy.sieve.search() method, we can find the indices i, j of the primes that bound a given number. If the given number… Read More »

## Python | SymPy Permutation.atoms() method

Permutation.atoms() : atoms() is a sympy Python library function that returns all the elements that are present in the permutation. Syntax : sympy.combinatorics.permutations.Permutation.atoms() Return :… Read More »

## Python | SymPy combinatorics.random_integer_partition() method

With the help of sympy.combinatorics.partitions.random_integer_partition() method, we can get the random partition of n in the form of reversed sorted list by using sympy.combinatorics.partitions.random_integer_partition() method.… Read More »

## Python | SymPy combinatorics.prev_lex() method

With the help of sympy.combinatorics.partitions.IntegerPartition().prev_lex() method, we can get the previous partition of integer n in lexical order by using sympy.combinatorics.partitions.IntegerPartition().prev_lex() method. Syntax : sympy.combinatorics.partitions.IntegerPartition().prev_lex()… Read More »

## Python | SymPy combinatorics.next_lex() method

With the help of sympy.combinatorics.partitions.IntegerPartition().next_lex() method, we can get the next partition of integer n in lexical order by using sympy.combinatorics.partitions.IntegerPartition().next_lex() method. Syntax : sympy.combinatorics.partitions.IntegerPartition().next_lex()… Read More »

## Python | SymPy combinatorics.conjugate() method

With the help of sympy.combinatorics.partitions.IntegerPartition().conjugate method, we can get the conjugate value of integer array passed as parameter in the sympy.combinatorics.partitions.IntegerPartition() method. Syntax : sympy.combinatorics.partitions.IntegerPartition().conjugate… Read More »

## Python | SymPy Permutation.cycles() method

Permutation.cycles() : cycles() is a sympy Python library function that returns the number of cycles present in the permutation. This also includes the singleton. Syntax… Read More »

## Python | SymPy Permutation.cyclic_form() method

Permutation.cyclic_form() : cyclic_form() is a sympy Python library function that returns the cyclic notation from the canonical notation, by omitting the singletons. Syntax : sympy.combinatorics.permutations.Permutation.cyclic_form()… Read More »

## Python | SymPy Permutation.cycle_structure() method

Permutation.cycle_structure() : cycle_structure() is a sympy Python library function that returns the cycle structure of the permutation as a dictionary and this will indicate the… Read More »

## Python | SymPy Permutation.commutes_with() method

Permutation.commutes_with() : commutes_with() is a sympy Python library function that checks whether the two permutations are commuting. Suppose ‘a’ and ‘b’ are part of ‘C’,… Read More »