Results 131 to 140 of about 1,018 (285)

Levels of quaternion algebras

open access: yes, 2007
. The level of a ring R with 1 = 0 is the smallest positive integer s such that −1 can be written as a sum of s squares in R, provided −1 is a sum of squares at all. D.W.
Detlev W. Hoffmann
core  

Derived Equivalence Classification of Algebras of Dihedral, Semidihedral, and Quaternion Type

open access: yes, 1999
Algebras of dihedral, semidihedral, and quaternion type were introduced by K. Erdmann as a generalization of blocks of finite groups of tame representation type.
Holm, Thorsten
core   +1 more source

Glymphatic dysfunction couples with cortical excitation–inhibition imbalance in epilepsy: Evidence from Rasmussen encephalitis

open access: yesEpilepsia, EarlyView.
Cong Fu et al. demonstrate that glymphatic system dysfunction is linked to enhanced inhibitory cortical activity using diffusion MRI and EEG. These findings highlight a mechanistic link between perivascular fluid dynamics and neuronal activity, suggesting a role for glymphatic function in maintaining cortical stability in epilepsy.
Cong Fu   +11 more
wiley   +1 more source

How To Create The Quaternion & Octonion Algebras

open access: yes, 2013
We show how to create the quaternion and octonion algebras with the DifferentialGeometry software.
Apedaile, Thomas J, Anderson, Ian M
core  

An Efficient Quasi‐Static Condensation‐Based Framework for Seismic Analysis of Multi‐Supported Secondary Structures

open access: yesEarthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang   +5 more
wiley   +1 more source

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro   +2 more
wiley   +1 more source

An Algorithm for the Factorization of Split Quaternion Polynomials. [PDF]

open access: yesAdv Appl Clifford Algebr, 2021
Scharler DF, Schröcker HP.
europepmc   +1 more source

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