In [2]: x, y = symbols ('x y') Now that the symbols x and y are instantiated, a symbolic math expression using x and y can be created. Like in Numpy, they are typically built rather than passed to an explicit constructor. Sympy package has Function class, which is defined in sympy.core.function module. a = Symbol('a') b = Symbol('b') They can be defined with Symbol. Following categories of functions are inherited from Function class − sympy.core.sympify.sympify() is the function that converts Python objects such as int(1) into SymPy objects such as Integer(1). lambdify ( x , f , 'numpy' ) g ( np . The Function class is a subclass of Expr, which makes it easier to define mathematical functions called with arguments. The simplest kind of expression is the symbol. I'm trying to convert output of a cubic equation to a function outside of sympy. It also converts the string form of an expression into a SymPy expression, like sympify("x**2") -> Symbol("x")**2 . You can rate examples to help us improve the quality of examples. Functions . Symbolic to Numerical Functions¶ You can turn sympy functions into lambda functions that are compatible with numpy using lambdify : f = sym . linspace ( 0 , 1 , 10 ))) Since the symbols = and == are defined as assignment and equality operators in Python, they cannot be used to formulate symbolic equations. As mentioned earlier, symbolic computations are done with symbols. The programs shows three ways to define symbols in SymPy. SymPy variables are objects of Symbols class. import sympy as sp u, x, y = sp.symbols('u x y') eq = - y - sp.Integral(x**2, (x, 1, u)) solved = sp.solveset(eq.doit(), u, domain=sp.S.Reals) lam = sp.lambdify(y, sp.solveset(eq.doit(), u, domain=sp.S.Reals)) Symbol is the most important class in symPy library. array ( np . Sympy has a quick interface to symbols for upper and lowercase roman and greek letters: It exports all latin and greek letters as Symbols, so we can conveniently use them. Sympy's core object is the expression. sin ( x ) g = sym . SymPy provides Eq() function to set up an equation. SymPy function or method Description Example; symbols() create symbolic math variables: x, y = symbols('x y').subs() substitute a value into a symbolic math expression: expr.subs(x,2).evalf() evaluate a symbolic math expression as a floating point number: expr.evalf() These output objects are separated by commas with no quotation marks. The output of the symbols() function are SymPy symbols objects. SymPy - Symbols. Python Function - 18 examples found. Symbol() function's argument is a string containing symbol which can be assigned to a variable. 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