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 ...

This paper presents an application specific processor architecture for the calculation of simplicial piecewise linear functions of up to six dimensions with 24-bit wide input words. The architecture, ...

Home | Mathematics | Linear functions, graphs and equations | Graphing linear functions Graphing linear functions This section focuses on the key features and methods for working with linear graphs.

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 article, we define and study Dyadic CART and a closely related estimator, namely Optimal Regression Tree (ORT), in the context of estimating piecewise smooth functions in general dimensions in ...

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 ...

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Spread the loveIntroduction: The Desmos graphing calculator is a powerful and user-friendly online tool that allows you to create dynamic graphs and expressions. Whether you’re a student or teacher, ...

Suppose that ƒ(x) = 2√x - 1. The formula in terms of x for each of the functions is: The graph was shifted to the right 1 unit, and stretched vertically by a factor of 2. Suppose we were given the ...

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 ...