Results 131 to 140 of about 18,831 (324)

Co-rotational 3D shell element using quaternion algebra to account for large rotations: Static and dynamic applications

Forces in Mechanics
This paper presents a new co-rotational shell element based on quaternion algebra as a means of parameterizing large rotations. The co-rotational framework is suitable for beam or shell elements and has been extensively studied in the literature.
Stéphane Grange, David Bertrand
doaj   +1 more source

Breaking the Exponential: Decoherence‐Driven Power‐Law Spontaneous Emission in Waveguide Quantum Electrodynamics

Laser &Photonics Reviews, EarlyView.
Introducing dynamical dephasing into the photon modes of a waveguide causes spontaneous emission to switch from conventional exponential decay to a robust power‐law behavior visible at short times. The power law arises from photon diffusion in a dynamically disordered environment, uncovering a previously unexplored, decoherence‐induced pathway to ...
Stefano Longhi
wiley   +1 more source

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

Mathematische Nachrichten, EarlyView.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

Reply to Bektaş, S. Comment on “Ioannidou, S.; Pantazis, G. Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra. ISPRS Int. J. Geo-Inf. 2020, 9, 494”

ISPRS International Journal of Geo-Information
The comment disputes some of the inferences in the paper “Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra”, published in this journal. The key points in the dissent are the following: (1) The number of unknown parameters in
George Pantazis, Stefania Ioannidou
doaj   +1 more source

Quantum variance on quaternion algebras, I

, 2016
39 pages; minor edits, corrections, and rearrangements of the text; second proof of Prop 3 ...
openaire   +4 more sources

RETOOLING OF COLOR IMAGING IN THE QUATERNION ALGEBRA

, 2020
M. Artyom, Grigoryan, Sos С. Agaian
openalex   +1 more source

On maximal orders of division quaternion algebras over the rational number field with certain optimal embeddings [PDF]

, 1982
Tomoyoshi Ibukiyama
openalex   +1 more source

Cerebrospinal Fluid Proenkephalin Predicts Striatal Atrophy Decades before Clinical Motor Diagnosis in Huntington's Disease

Movement Disorders, EarlyView.
Abstract Background Huntington's disease (HD) is characterized by early, selective, progressive vulnerability of striatal medium spiny neurons (MSNs). Proenkephalin (PENK), a precursor of opioid peptides abundantly expressed in MSNs, is a promising biomarker of striatal integrity, but region‐specific associations and its potential for early‐stage ...
Mena Farag, Michael J. Murphy, Nicola Z. Hobbs, Michela Leocadi, Kate Fayer, Olivia Thackeray, Johan Gobom, Marc Ciosi, Amanda Heslegrave, Henrik Zetterberg, Douglas R. Langbehn, Darren G. Monckton, Edward J. Wild, Sarah J. Tabrizi, Rachael I. Scahill   +14 more
wiley   +1 more source

Siegel Modular Forms and Theta Series attached to quaternion algebras II [PDF]

, 1995
Siegfried Böcherer, Rainer Schulze‐Pillot   +1 more
openalex   +1 more source