Efficient continuous piecewise linear regression for linearising univariate non-linear functions [PDF]
John Alasdair Warwicker +1 more
openalex +1 more source
Efficient piecewise-linear function approximation using the uniform metric: (preliminary version)
M. Goodrich
semanticscholar +1 more source
Analysis of a Mathematical Model of Marital Satisfaction
ABSTRACT A large number of marriages end in divorce. In this paper, we present a model for the emotional state of a couple based on bilinear ordinary differential equations. We study the effect of changes of each individual's self‐emotional state on the couple's state.
Benito Chen‐Charpentier +2 more
wiley +1 more source
An Optimized Method for Nonlinear Function Approximation Based on Multiplierless Piecewise Linear Approximation [PDF]
Hongjiang Yu +4 more
openalex +1 more source
Analytical Solutions for the Cardiac Extracellular‐Membrane‐Intracellular Model
ABSTRACT The cardiac extracellular‐membrane‐intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The cardiac EMI model provides a more detailed description of the heart's electrical activity compared to traditional monodomain and bidomain models, potentially making it better‐suited for understanding the
Carlos Ballesteros +2 more
wiley +1 more source
Piecewise linear functions in \({\mathbb{R}}^ 3\)
An expression for a piecewise linear continuous function of three variables using zero-one variables subject to additional constraints is given.
openaire +3 more sources
Algorithms for optimal discontinuous piecewise linear and constant 𝐿₂ fits to continuous functions with adjustable nodes in one and two dimensions [PDF]
M. J. Baines
openalex +1 more source
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
ABSTRACT Purpose Water‐extraction‐with‐phase‐contrast‐arterial‐spin‐tagging (WEPCAST) MRI is a non‐contrast method to estimate the blood–brain barrier (BBB) permeability to water. Similar to other arterial‐spin‐labeling (ASL) based techniques, signal‐to‐noise ratio is a limitation.
Wen Shi +11 more
wiley +1 more source
ℋ2 reset controller design for linear systems using piecewise quadratic Lyapunov functions [PDF]
Jaepil Ban +3 more
openalex +1 more source

