piecewise-linear

piecewise-linear

[′pēs‚wīz ‚lin·ē·ər]
(mathematics)
A continuous curve or function obtained by joining a finite number of linear pieces.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
In them functions u0 are nothing more than piecewise-power (or piecewise-linear for [alpha] = 3/2) functions of order [alpha].
Geiselmann, "Qualitative simulation of genetic regulatory networks using piecewise-linear models," The Bulletin of Mathematical Biology, vol.
We use a piecewise-linear (PWL) specification for our non-linear modeling of WTP over bag limits because this is the most general specification given the set-up of our SPCE.
Continuing from their 2014 Wilson Lines in Quantum Field Theory, which focuses on mathematical foundations and geometric properties, they develop ab initio calculation techniques applicable to generic piecewise-linear Wilson lines, and present the practical tools for their implementation.
Unbehauen, "Canonical piecewise-linear approximations," IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.
Boyd, "Quadratic stabilization and control of piecewise-linear systems," in Proceedings of the American Control Conference (ACC '98), vol.
In [1], Wilson defined combinatorial period matrices by using the Whitney embedding W of cochains into piecewise-linear differential forms, introduced in [8].
Strollo, "Direct digital frequency synthesizer using nonuniform piecewise-linear approximation," IEEE Transactions on Circuits and Systems I, vol.
While other methods, as stochastic frontiers, need the specification of a functional form for the production function (such as the Cobb-Douglas form), DEA is a nonparametric technique that estimates a piecewise-linear convex technology without this requirement, constructed such that no observation of the sample of data lies above it (refer to Figure 1).
Given a convex compact polytope K in [R.sup.p] (we are only concerned with the case K = O(P) here but the definition makes sense more generally), we define the piecewise-linear toggle operation [[tau].sub.i] (1 [less than or equal to] i [less than or equal to] p) as the unique map from K to itself whose action on the 1-dimensional cross-sections of K in the ith coordinate direction is the linear map that switches the two endpoints of the cross-section.