Python | sympy.Pow() method

Python | sympy.multiplicity() method

Last Updated : 05 Sep, 2019

With the help of sympy.multiplicity() method, we can find the greatest integer m such that p raised to the power of m divides n, where p and n are parameters of the method

Syntax: multiplicity(p, n) Parameter: p - It denotes an integer. n - It denotes an integer. Returns: Returns the greatest integer m such that p^m divides n.

Example #1:

Python3

# import multiplicity() method from sympy
from sympy import multiplicity

p = 2
n = 64

# Use multiplicity() method 
multi_p_n = multiplicity(p, n) 
    
print("{} is the largest integer such that {}^{} divides {}.".
      format(multi_p_n, p, multi_p_n, n))

Output:

6 is the largest integer such that 2^6 divides 64.

Example #2:

Python3

# import multiplicity() method from sympy
from sympy import multiplicity

p = 3
n = 111

# Use multiplicity() method 
multi_p_n = multiplicity(p, n) 
    
print("{} is the largest integer such that {}^{} divides {}.".
      format(multi_p_n, p, multi_p_n, n))

Output:

1 is the largest integer such that 3^1 divides 111.

Python | sympy.Pow() method

rupesh_rao

Improve

Article Tags :

Python

Practice Tags :

python

Similar Reads

Python | sympy.Mul() method

With the help of sympy.Mul() method, we can multiply two variables and can form a mathematical expression. Syntax : sympy.Mul() Return : Return the product of two variables. Example #1 : In this example we can see that by using sympy.Mul() method, we are able two multiply the two variables and we ca

Python | sympy.primitive() method

With the help of sympy.primitive() method, we can find the common part of a mathematical expression by using sympy.primitive() method. Syntax : sympy.primitive() Return : Return a tuple having common part separated from mathematical expression. Example #1 : In this example we can see that by using s

Python | sympy.as_poly() method

With the help of sympy.as_poly() method, we can make the mathematical function into a polynomial object by using sympy.as_poly() method. Syntax : sympy.as_poly() Return : Return the polynomial object. Example #1 : In this example we can see that by using sympy.as_poly() method, we are able to get th

Python | sympy.Mod() method

With the help of sympy.Mod() method, we can find the modulus and can give the parameters separately by using sympy.Mod() method. Syntax : sympy.Mod(var1, var2) Return : Return a value of modulo. Example #1 : In this example we can see that by using sympy.Mod() method, we are able to find the modulus

Python | sympy.Pow() method

With the help of sympy.Pow() method, we can find a raised to the power of b where a and b are parameters to the method. Syntax: Pow(a, b) Parameter: a - It denotes an integer. b - It denotes an integer. Returns: Returns an integer which is equal to a raised to the power of b, i. e., a^b. Example #1:

Python | sympy.prod() method

With the help of sympy.prod() method, we can find the product of two integers or we can multiply the list with integers and it will return the sum of products in a list by using sympy.prod() method. Syntax : sympy.prod(val1, val2) Return : Return the product of numbers. Example #1 : In this example

Python | sympy Partition() method

With the help of sympy.combinatorics.partitions.Partition() method, we are going to separate the members of arrays into one tuple by using sympy.combinatorics.partitions.Partition() method. Syntax : sympy.combinatorics.partitions.Partition(array) Return : Return a members of arrays into one tuple. E

Python | sympy.primenu() method

With the help of sympy.primenu() method, we can calculate the number of distinct prime factors for a given positive integer. Syntax: primenu(n) Parameter: n - It denotes an integer. Returns: Returns the number of distinct prime factors for the given positive integer. Example #1: Python3 # import pri

Python | sympy.partition() method

With the help of sympy.partition() method, we can find Partition number in SymPy. partition(n) - The Partition numbers are a sequence of integers pn that represent the number of distinct ways of representing n as a sum of natural numbers (with order irrelevant). The generating function for pn is giv

Python | sympy.powsimp() method

With the help of sympy.powsimp() method, we can simplify mathematical expressions using laws of indices involving powers. Properties : 1) x**a*x**b = x**(a+b) 2) x**a*y**a = (xy)**a Syntax: powsimp(expression) Parameters: expression - It is the mathematical expression which needs to be simplified. R