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. 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() Symbolic to Numerical Functions¶ You can turn sympy functions into lambda functions that are compatible with numpy using lambdify : f = sym . Symbol() function's argument is a string containing symbol which can be assigned to a variable. 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)) Like in Numpy, they are typically built rather than passed to an explicit constructor. Following categories of functions are inherited from Function class − It exports all latin and greek letters as Symbols, so we can conveniently use them. As mentioned earlier, symbolic computations are done with symbols. I'm trying to convert output of a cubic equation to a function outside of sympy. linspace ( 0 , 1 , 10 ))) The simplest kind of expression is the symbol. sin ( x ) g = sym . Functions . a = Symbol('a') b = Symbol('b') They can be defined with Symbol. Sympy's core object is the expression. These output objects are separated by commas with no quotation marks. This includes named functions like cos(x) and log(x) as well as undefined functions like f(x). It is a base class for all applied mathematical functions, as also a constructor for undefined function classes. Symbol is the most important class in symPy library. It also converts the string form of an expression into a SymPy expression, like sympify("x**2") -> Symbol("x")**2 . SymPy - Symbols. Subclasses of Function should define a class method eval, which returns a canonical form of the function application (usually an instance of some other class, i.e. array ( np . from sympy.abc import x, y Symbols can be imported from the sympy.abc module. These are the top rated real world Python examples of sympy.Function extracted from open source projects. The Function class is a subclass of Expr, which makes it easier to define mathematical functions called with arguments. SymPy provides Eq() function to set up an equation. sympy.core.sympify.sympify() is the function that converts Python objects such as int(1) into SymPy objects such as Integer(1). The output of the symbols() function are SymPy symbols objects. Sympy package has Function class, which is defined in sympy.core.function module. The programs shows three ways to define symbols in SymPy. Sympy has a quick interface to symbols for upper and lowercase roman and greek letters: lambdify ( x , f , 'numpy' ) g ( np . 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