Asymptotic stability of continuous-time piecewise affine systems defined over a polyhedral partition of the state space, with possible discontinuous vector field on the boundaries, is considered. In ...

We need to reckon with what ChatGPT is doing to the classroom and to human expression.

Combined functions involve the operations of addition, subtraction, multiplication and division applied to two or more functions. A hybrid function is also an example of combined functions. Combined ...

In this problem, the optimal path is one that maximizes the expected utility, with the utility function being piecewise-linear and concave. Such a utility function can be used to approximate nonlinear ...

A python implementation of the algorithm used to generate optimal piecewise linear approximations of convex functions proposed by Imamoto and Tang [1]. The algorithm uses an iterative search to find ...

How to Graph a Function in Excel. A mathematical function is a formula that takes an input, x, applies a set of calculations to it, and produces an output called y. By calculating a function at a ...

The student debate highlighted above comes from an activity about federal income taxes that I use in my precalculus and modeling course to introduce piecewise-defined functions, which use different ...

Writing functions in R This repository is for the Writing Functions in R course offered by the Data and Analysis R Training Group. Knowing how to write your own functions is a great skill to add to ...