Results 41 to 50 of about 104,361 (235)

Quaternionic differential operators

, 2001
Motivated by a quaternionic formulation of quantum mechanics, we discuss quaternionic and complex linear differential equations. We touch only a few aspects of the mathematical theory, namely the resolution of the second order differential equations with
Adler, Adler, Adler, Adler, Adler, Adler, Adler, Aslaksen, Baker, Brand, Brenner, Brenner, Chen, Cohen, Davies, Davies, Davies, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, Dieudonné, Dray, Dray, Dray, Dray, Dyson, Eilenberg, Finkelstein, Finkelstein, Finkelstein, Gisele Ducati, Horwitz, Niven, Niven, Rembieliński, Rotelli, Scolarici, Scolarici, Stefano De Leo, Study, Zhang   +51 more
core   +3 more sources

Enhancing Sustainability Label Effectiveness Through Logo Design Modification: An Analysis of the EU Green Leaf Logo

Agribusiness, EarlyView.
ABSTRACT Sustainability labels can help support consumers select more socially and environmentally friendly options, thereby enhancing returns for conscientious producers and promoting the transition to a more sustainable food system. However, consumer confusion regarding labels' meaning undermines their effectiveness.
Monika Hartmann, Ching‐Hua Yeh, Matthew Gorton, Barbara Tocco, Áron Török   +4 more
wiley   +1 more source

Model‐based fault diagnosis and fault tolerant control in safety‐critical chemical reactors: An experimental study

AIChE Journal, EarlyView.
Abstract This study investigates a fault‐tolerant control (FTC) approach for continuous stirred‐tank reactors (CSTR), emphasizing the importance of timely interventions to ensure operational safety under fault conditions. A systematic methodology combining residual‐based fault estimation and Dynamic Safety Margin (DSM) monitoring is developed to guide ...
Pu Du, Ritu Ranjan, Benjamin Wilhite, Costas Kravaris   +3 more
wiley   +1 more source

Inverse spectral problems for energy-dependent Sturm-Liouville equations

, 2012
We study the inverse spectral problem of reconstructing energy-dependent Sturm-Liouville equations from their Dirichlet spectra and sequences of the norming constants.
Ablowitz M J, Adamjan V, Albeverio S, Albeverio S, Albeverio S, Engel K-J, Gasymov M G, Gasymov M G, Gel'fand I, Gohberg I, Gohberg I C, Gusei˘nov G S, Gusei˘nov I M, Hryniv R O, Hryniv R O, Jaulent M, Jaulent M, Jaulent M, Jonas P, Kamimura Y, Kappeler T, Kato T, Levitan B M, Maksudov F G, Maksudov F G, Markus A S, Nabiev A A, Nabiev A A, Nabiev I M, Nabiev I M, Nataliya Pronska, Pronska N, Pronska N, Pronska N, Riesz F, Rostyslav Hryniv, Sattinger D H, Savchuk A M, Savchuk A M, Savchuk A M, Savchuk A M, Serier F, Yamamoto M   +42 more
core   +1 more source

Advanced Experiment Design Strategies for Drug Development

Advanced Intelligent Discovery, EarlyView.
Wang et al. analyze 592 drug development studies published between 2020 and 2024 that applied design of experiments methodologies. The review surveys both classical and emerging approaches—including Bayesian optimization and active learning—and identifies a critical gap between advanced experimental strategies and their practical adoption in ...
Fanjin Wang, Anthony Harker, Mohan Edirisinghe, Maryam Parhizkar   +3 more
wiley   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

On the approximation of the principal eigenvalue for a class of nonlinear elliptic operators

, 2016
We present a finite difference method to compute the principal eigenvalue and the corresponding eigenfunction for a large class of second order elliptic operators including notably linear operators in nondivergence form and fully nonlinear operators. The
Birindelli, Isabeau, Camilli, Fabio, Dolcetta, Italo Capuzzo   +2 more
core   +1 more source

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

Advanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

Computation of frequency responses for linear time-invariant PDEs on a compact interval

, 2013
We develop mathematical framework and computational tools for calculating frequency responses of linear time-invariant PDEs in which an independent spatial variable belongs to a compact interval.
Jovanović, Mihailo R., Lieu, Binh K.
core   +1 more source