Results 31 to 40 of about 371 (133)
Weak, Strong and Mixed Extensions of Relations to Spaces of Ultrafilters
ABSTRACT The use of nonstandard methods to characterize properties of weak, strong and mixed extensions of congruences to ultrafilters has been the main topic of several recent papers, focused mostly on congruences and divisions. We show that similar methods can be used to extend these characterizations to arbitrary relations and their interplay.
Leonardo Raffaello Maximilian Gasparro +1 more
wiley +1 more source
Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review
This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
wiley +1 more source
Geometric Stabilization of Biomolecular Chirality in Open Systems
Entropic topology favors orientation‐preserving deformations in molecular configuration space, leading to a spontaneous statistical bias toward right‐handed α$$ \alpha $$‐helices. The figure illustrates how configurations with positive determinant (dextral) occupy a larger accessible volume of microstates, providing a purely geometric‐entropic ...
Vicente Domínguez‐Arca
wiley +1 more source
Deep Learning Unlocks Behavioral Prediction and Neurobehavioral Decoding
This review evaluates deep learning frameworks that surmount conventional limitations through high‐dimensional nonlinear modeling, spatiotemporal dependency capture, and multimodal information integration. Focusing on biological behavior forecasting and neural mechanism decoding, we delineate cutting‐edge applications, including real‐time action ...
Tianzhe Han +5 more
wiley +1 more source
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
ABSTRACT The analysis of certain properties of the underlying graph of a public transport network generates insights about the network's structure. Hereby, the choice of the graph representation depends on a trade‐off between complexity reduction and information preservation to adequately model a public transport network.
Michael Palk +2 more
wiley +1 more source
Graph‐Theoretical Approach for Predicting Physicochemical Properties of Stiff‐Person Syndrome Drugs
Graph‐theoretical descriptors derived from M‐polynomials are integrated with quantitative structure–property relationship modeling and machine learning to uncover structure–property relationships of drugs used in stiff‐person syndrome. Strong correlations between degree‐based topological indices and key physicochemical properties are revealed ...
Jabbar Ali +3 more
wiley +1 more source
Text Mining in Bibliometrics and Science Mapping: A Methodological Review
Text mining has become a foundational component of contemporary bibliometrics and science mapping, enabling systematic analysis of the semantic structure, thematic evolution, and cognitive organization of scientific fields. Integrating textual evidence with relational indicators enriches knowledge maps and supports more comprehensive, content‐sensitive
Michelangelo Misuraca
wiley +1 more source
SUMMARY The legume family originated ca. 60–65 million years ago and soon diversified into at least six lineages (now extant subfamilies). The signal of whole genome duplications (WGD) is apparent in species sampled from all six subfamilies. The early diversification has posed difficulties for resolving the legume backbone structure and the timing of ...
Hyun‐oh Lee +24 more
wiley +1 more source
Abstract In this article, we investigate the existence and multiplicity of solutions to the Robin problem −Δu=λf(u)inΩ,∂u∂ν+γu=0on∂Ω,$$\begin{equation*} {\begin{cases} -\Delta u = \lambda f(u) & \text{in } \Omega,\\ \frac{\partial u}{\partial \nu } + \gamma u=0 & \text{on } \partial \Omega, \end{cases}} \end{equation*}$$where Ω⊂RN$\Omega \subset ...
José Carmona Tapia +2 more
wiley +1 more source

