Improving algebraic understanding using history of mathematics: the case of structural reasoning in cubic equations. [PDF]
Bannor AG, Gordon JF, Arthur YD.
europepmc +1 more source
Abstract Carbon (δ13C) and nitrogen (δ15N) stable isotope ratios allow the reconstruction of food webs, provided that all trophic levels are properly characterized. In freshwater ecosystems, small‐bodied invertebrates often occupy central positions in food webs, with whole‐body samples commonly used for their stable isotope analysis, due to ...
Alan Fritsch +3 more
wiley +1 more source
Universality for Taylor coefficients of rational functions under perturbations. [PDF]
Baryshnikov Y, Pemantle R.
europepmc +1 more source
Theory of Supercritical Coupling and Generalized Bound States in the Continuum
We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
wiley +1 more source
Canonicalizing Zeta Generators: Genus Zero and Genus One. [PDF]
Dorigoni D +7 more
europepmc +1 more source
Generating Helical Polymorphic Beams Using Dielectric Metasurfaces
Helix‐shaped polymorphic beams are optical fields whose intensity maxima spiral around the propagation axis, enabling particle manipulation through attractive or repulsive forces. Traditionally requiring expensive spatial light modulators, metasurfaces now provide a compact, cost‐effective alternative. This work demonstrates general helical polymorphic
Maryam Setareh +3 more
wiley +1 more source
Gene and cell line efficiency of CRISPR computed by tensor decomposition in genome-wide CRISPR-Cas9 knockout screens. [PDF]
Taguchi YH, Turki T.
europepmc +1 more source
A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley +1 more source
Quasi-integrability from [Formula: see text]-symmetry. [PDF]
Abhinav K, Guha P, Mukherjee I.
europepmc +1 more source
Amenability Constants for Unconditional Sums of Banach Algebras
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley +1 more source

