Results 21 to 30 of about 282 (146)
Functional Equations Associated to Collatz-Type Maps on Integer Rings of Algebraic Number Fields
, 2021 Withdrawn due to an error in section three, where the structure of the quotient of a ring of algebraic integers modulo an ideal thereof was not incorrectly ...
openaire +2 more sources
Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
Advanced Science, EarlyView.A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
wiley +1 more source
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
Algebraic K -Theory of Number Fields and Rings of Integers and the Stickelberger Ideal
The Annals of Mathematics, 1992 Let \(F\) be an abelian extension of \(\mathbb{Q}\). The Stickelberger theorem constructs an ideal \(S_ 0\) in \(\mathbb{Z}[G(F/\mathbb{Q})]\) that annihilates the class group of \(F\). The ideal \(S_ 0\) is generated by elements of the form \[ \Theta_ 0(b)=(b-(b,F))\sum_{(a;f)=1;1\leq an\): \[ \left|{{w_{n+1}(F)\zeta_ F(-n)} \over {\prod_{v\mid\ell}w_
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A Multi‐Objective Periodic Vehicle Routing Model for Sustainable Healthcare Waste Collection
The International Journal of Health Planning and Management, EarlyView.ABSTRACT The collection of infectious waste from healthcare facilities (HCF) constitutes a recurring operational challenge. Indeed, despite the inherent health risks posed by the storage and the transportation of infectious materials, most of the existing waste collection systems tends to prioritise cost optimization and to underaddress the safety ...
Hajer Ben‐Romdhane
wiley +1 more source
Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
Mathematische Nachrichten, EarlyView.ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
wiley +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In this study, a robust position control strategy is presented for a two‐stage electro‐hydraulic actuator system using a fractional‐order proportional–integral–derivative (FOPID) controller tuned by Kirchhoff's law algorithm (KLA). Electro‐hydraulic systems exhibit strong nonlinearities, parameter uncertainties, and external disturbances ...
Ridvan Firat Cinar +8 more
wiley +1 more source
Coverage‐based rarefaction fails to quantify relative species richness
Oikos, EarlyView.Coverage‐based rarefaction (CBR) is a high‐profile tool for assessing biodiversity that provides relative species richness estimates by leveraging the Good‐Turing index u to interpolate. In contrast to alternatives such as the Shannon and Simpson indices, CBR's main appeal is providing values in units of species. CBR is tested against a series of other
John Alroy
wiley +1 more source
Sliding Motions on Non‐Euclidean State Spaces: A Differential‐Geometric Perspective
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper extends sliding‐mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well‐defined vector fields on quotient spaces, and provide a consistent geometric definition of higher‐order sliding modes.
Fernando Castaños
wiley +1 more source
Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley +1 more source