Algorithmic complexity, a cornerstone of theoretical computer science, examines the intrinsic resource requirements of computational problems and the limits of what can be efficiently computed. Within ...

Abstract: This paper addresses the construction of piece-wise homogeneous polynomial Lyapunov functions (PHPLFs) for piecewise affine (PWA) systems. Sufficient conditions for the existence of PHPLFs ...

Abstract: This paper proves the existence of polynomial Lyapunov functions for rationally stable vector fields. For practical purposes the existence of polynomial Lyapunov functions plays a ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

An illustration of a magnifying glass. An illustration of a magnifying glass.

You’re probably familiar with nouns as the words that name people, places, and things. But did you know that nouns don’t just label things; they also serve particular functions in a sentence?

If you want to learn how to use IF and VLOOKUP nested functions in Excel, you’ve come to the right place. The IF and VLOOKUP nested functions are two of the most powerful functions in Excel used by ...