Abstract: This letter considers the problem of piecewise affine abstraction with polytopic partitions of nonlinear systems, i.e., the over-approximation of nonlinear dynamics by a pair of piecewise ...
Graphing a piecewise defined function might seem daunting at first, but breaking down the process into manageable steps can make it significantly easier. A piecewise function, as the name suggests, is ...
The primary utility function, find_embedding(), is an implementation of the heuristic algorithm described in [1]. It accepts various optional parameters used to tune the algorithm's execution or ...
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 ...
Abstract: The Reeb graph of a scalar function tracks the evolution of the topology of its level sets. This paper describes a fast algorithm to compute the Reeb graph of a piecewise-linear (PL) ...
The tangent is defined as the single point where a straight line meets a curved surface. The tangent can be determined with a collection of mathematical formulas but is most commonly determined by ...
How to Extract a Substring in Excel Using FIND() and MID() Functions Your email has been sent Learn how to use MID() and FIND() and then combine them to parse substrings from inconsistent data.