This is the second post (here’s the first one) about an approach to introducing the derivative to calculus students that is counter to what I’ve seen in textbooks and other traditional treatments of ...

A piecewise function is defined by multiple sub-functions, each applicable over a specific interval of the domain. These intervals are often called "pieces" of the function's domain. Each piece ...

Many computer vision and human-computer interaction applications developed in recent years need evaluating complex and continuous mathematical functions as an essential step toward proper operation.

Abstract: This paper provides a complete derivation for LQR optimal controllers and the optimal value function using basic principles from variational calculus. As opposed to alternatives, the ...

This code showcases a simple demonstration of how the Fourier series can approximate a piecewise function. The code is a simple application of the libraries numpy and matplotlib, which are scientific ...

Abstract: This paper proposes a method for calculating the economic generation dispatch for generating units with a piecewise linear incremental cost function, at the same time considering total power ...