piecewise-linear

[′pēs‚wīz ‚lin·ē·ər]

(mathematics)

A continuous curve or function obtained by joining a finite number of linear pieces.

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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].

Practical Error Analysis for the Three-Level Bilinear FEM and Finite-Difference Scheme for the 1D Wave Equation With Non-Smooth Data

Geiselmann, "Qualitative simulation of genetic regulatory networks using piecewise-linear models," The Bulletin of Mathematical Biology, vol.

Linear Analysis of an Integro-Differential Delay Equation Model

In this work, we use the piecewise-linear framelet basis.

Design and Simulation Study of a CNT-Based Multisource Cubical CT System for Dynamic Objects

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.

The Economic Value of Changes in Harvest Regulations to Anglers on Charter and Private Boat Trips: Results from a Choice Experiment Survey in Southeastern U.S. Waters

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.

Parton Densities in Quantum Chromodynamics: Gauge Invariance, Path-Dependence and Wilson Lines

Unbehauen, "Canonical piecewise-linear approximations," IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.

Identification of Multiple-Mode Linear Models Based on Particle Swarm Optimizer with Cyclic Network Mechanism

Boyd, "Quadratic stabilization and control of piecewise-linear systems," in Proceedings of the American Control Conference (ACC '98), vol.

Vibration Analysis of a Piecewise-Smooth System with Negative Stiffness under Delayed Feedback Control

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].

Rigid-flex PCB design solves wearable medical device challenges

In [1], Wilson defined combinatorial period matrices by using the Whitney embedding W of cochains into piecewise-linear differential forms, introduced in [8].

A matrix equation on triangulated Riemann surfaces

Strollo, "Direct digital frequency synthesizer using nonuniform piecewise-linear approximation," IEEE Transactions on Circuits and Systems I, vol.

Hardware implementation of 32-bit high-speed direct digital frequency synthesizer

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).

Benchmarking in data envelopment analysis: an approach based on genetic algorithms and parallel programming

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.