👉 In mathematics, a sympetalous function is a continuous function that has one or more discontinuities. These discontinuities are known as singular points of the function. Sympetal functions are often used in the context of dynamical systems and fractals. Symetrical functions, such as the sine and cosine functions, are examples of sympetalous functions. They have a simple closed-form expression that is continuous everywhere except for a finite number of discontinuities at specific points in the domain