BioLogical: a universal analysis framework for biosystem logical dynamics. [PDF]
Yao Y, Liu D, Zhang Z, Zhao C, Pei D.
europepmc +1 more source
Mapping the density of giant trees in the Amazon
Summary Tall trees (height ≥ 60 m) are keystone elements of tropical forests, strongly influencing biodiversity, carbon storage, and ecosystem resilience. Yet, their density and spatial distribution remain poorly quantified, especially in remote Amazonian regions, limiting our understanding of their ecological roles and contribution to forest–climate ...
Robson Borges de Lima +20 more
wiley +1 more source
Modulation instability analysis and deriving soliton solutions of new nonlocal Lakshmanan-Porserzian-Daniel equation. [PDF]
Rabie WB, Abbas W, Ramadan ME, Ahmed HM.
europepmc +1 more source
Aspect perception and rule‐following in Wittgenstein's Philosophical Investigations
Abstract This paper aims to highlight a distinctive, projective, mode of aspect perception within Wittgenstein's philosophy that has gone underappreciated in the scholarly literature. Although it bears a family resemblance to other instances of the phenomenon Wittgenstein describes as ‘noticing an aspect’ in PI Part II §113, it is distinctive in that ...
James Connelly
wiley +1 more source
Unveiling diverse solitons in the quintic perturbed Gerdjikov-Ivanov model via a modified extended mapping method. [PDF]
Hussein HH +3 more
europepmc +1 more source
The dimension of well approximable numbers
Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
wiley +1 more source
Optimizing noise control in flexible shells with bridging membrane discs variations. [PDF]
Alahmadi H, Afzal M, Alkuhayli N.
europepmc +1 more source
Module structure of Weyl algebras
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley +1 more source
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
europepmc +1 more source
The GJMS operators in geometry, analysis and physics
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley +1 more source

