A Gentle Introduction to Continuous Functions
Many areas of calculus require an understanding of continuous functions. The characteristics of continuous functions, and the study of points of discontinuity are of great interest to the mathematical community. Because of their important properties, continuous functions have practical applications in machine learning algorithms and optimization methods.
In this tutorial, you will discover what continuous functions are, their properties, and two important theorems in the study of optimization algorithms, i.e., intermediate value theorem and extreme value theorem.
After completing this tutorial, you will know:
- Definition of continuous functions
- Intermediate value theorem
- Extreme value theorem
Let’s get started.
