I just noticed that the textbook lacks an example relevant to this exercise group, which is a type of problem we frequently assess: Given a piecewise-defined function, we want to know if it is ...

Abstract: We propose a novel characterization of piecewise-defined barrier functions for certifying forward invariant sets of piecewise continuous dynamical systems. Forward invariance is established ...

Abstract: In this paper we propose a digital architecture suited for fast, low-power and small-size electronic implementation of PieceWise Affine (PWA) functions defined over n-dimensional domains ...

An algorithmic solution to the biological effective dose (BED) calculation from the Lea-Catcheside formula for a piecewise defined function is presented. Data from patients treated for metastatic ...

Review of algebra. The Real Numbers, inequalities and intervals on the number line, factoring, radical notation, properties of exponents, scientific notation, and operations on rational expressions.

This is a preview. Log in through your library . Abstract We define two functions f and g on the unit interval [0, 1] to be strongly conjugate $\operatorname{iff}$ there is an order-preserving ...