Results 161 to 170 of about 935 (254)
ABSTRACT While recent Anderson acceleration (AA) convergence theory [Pollock et al., IMA Num. An., 2021] requires that the AA optimization norm match the Hilbert space norm associated with the fixed point operator, in implementations the ℓ2$$ {\ell}^2 $$ norm is the most common choice. So far there is little research done regarding this discrepancy. To
Elizabeth Hawkins, Leo G. Rebholz
wiley +1 more source
Abstract In light of the centennial of the Schrödinger equation, this article addresses the popular idea that quantum mechanical effects play an important role in biological systems. We start by defining what is qualified as a quantum effect. We then clarify the idea that quantum mechanical tunneling is a crucial factor in enzyme catalysis.
Aoxuan Zhang, Arieh Warshel
wiley +1 more source
Conjugations of unitary operators, II. [PDF]
Mashreghi J, Ptak M, Ross WT.
europepmc +1 more source
Geometric Planted Matchings Beyond the Gaussian Model
ABSTRACT We consider the problem of recovering an unknown matching between a set of n$$ n $$ randomly placed points in ℝd$$ {\mathbb{R}}^d $$ and random perturbations of these points. This can be seen as a model for particle tracking and more generally, entity resolution.
Lucas R. Schwengber, Roberto I. Oliveira
wiley +1 more source
The Neuro-Cardiac Symbiotic Engine: A Multimodal Fusion Architecture for Cognitive State Decoding via High-Performance Computing. [PDF]
Bastidas-Benalcazar N +8 more
europepmc +1 more source
On the Lang–Trotter conjecture for Siegel modular forms
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source
High-Contrast Random Composites: Homogenisation Framework and Spectral Convergence. [PDF]
Cherdantsev M +2 more
europepmc +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
Integrating local energetics into Maxwell-Calladine constraint counting to design mechanical metamaterials. [PDF]
Rocks JW, Mehta P.
europepmc +1 more source

