With the help of sympy.rewrite() method, we can represent any mathematical function in terms of another function.
Python3 1==
Output:
Python3 1==
Syntax: expression.rewrite(function) Parameters: expression - It is mathematical expression which is to be represented by another function. function - It is the mathematical function used to rewrite the given expression. Returns: Returns a mathematical expression corresponding to the input in terms of specified function.Example #1:
# import sympy
from sympy import *
x = symbols('x')
expr = tan(x)
print("Expression = {}".format(expr))
# Use sympy.rewrite() method
expr_in_terms_of_sin = expr.rewrite(sin)
print("Expression in terms of sin() : {}".format(expr_in_terms_of_sin))
Expression = tan(x) Expression in terms of sin() : 2*sin(x)**2/sin(2*x)Example #2:
# import sympy
from sympy import *
x = symbols('x')
expr = factorial(x)
print("Expression = {}".format(expr))
# Use sympy.rewrite() method
expr_in_terms_of_gamma = expr.rewrite(gamma)
print("Expression in terms of gamma() : {}".format(expr_in_terms_of_gamma))
Output:
Expression = factorial(x) Expression in terms of gamma() : gamma(x + 1)