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.
In this work, we use the
piecewise-linear framelet basis.
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.
To avoid delamination problems over time, use straight paths or if traces must change direction, use curves or
piecewise-linear curves rather than anything approaching 90[degrees].
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.