Results 71 to 80 of about 84,919 (336)

On split products of quaternion algebras with involution in characteristic two [PDF]

open access: yes, 2015
The question of whether a split tensor product of quaternion algebras with involution over a field of characteristic two can be expressed as a tensor product of split quaternion algebras with involution, is shown to have an affirmative ...
Mahmoudi, M. G., Nokhodkar, A. -H.
core  

A reason for fusion rules to be even

open access: yes, 2001
We show that certain tensor product multiplicities in semisimple braided sovereign tensor categories must be even. The quantity governing this behavior is the Frobenius-Schur indicator. The result applies in particular to the representation categories of
Bröcker Th   +9 more
core   +2 more sources

Reprogrammable, In‐Materia Matrix‐Vector Multiplication with Floppy Modes

open access: yesAdvanced Intelligent Systems, EarlyView.
This article describes a metamaterial that mechanically computes matrix‐vector multiplications, one of the fundamental operations in artificial intelligence models. The matrix multiplication is encoded in floppy modes, near‐zero force deformations of soft matter systems.
Theophile Louvet   +2 more
wiley   +1 more source

On Solving Systems of Autonomous Ordinary Differential Equations by Reduction to a Variable of an Algebra

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
A new technique for solving a certain class of systems of autonomous ordinary differential equations over 𝕂n is introduced (𝕂 being the real or complex field).
Alvaro Alvarez-Parrilla   +3 more
doaj   +1 more source

Tensor products of nonassociative cyclic algebras [PDF]

open access: yesJournal of Algebra, 2016
We study the tensor product of an associative and a nonassociative cyclic algebra. The condition for the tensor product to be a division algebra equals the classical one for the tensor product of two associative cyclic algebras by Albert or Jacobson, if the base field contains a suitable root of unity. Stronger conditions are obtained in special cases.
openaire   +3 more sources

AI in Neurology: Everything, Everywhere, All at Once Part 1: Principles and Practice

open access: yesAnnals of Neurology, EarlyView.
Artificial intelligence (AI) is rapidly transforming healthcare, yet it often remains opaque to clinicians, scientists, and patients alike. This review, part 1 of a 3‐part series, provides neurologists and neuroscientists with a foundational understanding of AI's key concepts, terminology, and applications.
Matthew Rizzo, Jeffrey D. Dawson
wiley   +1 more source

On the Tensor Products of Maximal Abelian JW-Algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
It is well known in the work of Kadison and Ringrose (1983)that if 𝐴 and 𝐵 are maximal abelian von Neumann subalgebras of von Neumann algebras 𝑀 and 𝑁, respectively, then 𝐴⊗𝐵 is a maximal abelian von Neumann subalgebra of 𝑀⊗𝑁.
F. B. H. Jamjoom
doaj   +1 more source

Some results on the projective cone normed tensor product spaces over banach algebras

open access: yesBoletim da Sociedade Paranaense de Matemática, 2018
For two real Banach algebras $\mathbb{A}_1$ and $\mathbb{A}_2$, let $K_p$ be the projective cone in $\mathbb{A}_1\otimes_\gamma \mathbb{A}_2$. Using this we define a cone norm on the algebraic tensor product of two vector spaces over the Banach algebra $\
Dipankar Das   +2 more
doaj   +1 more source

Relational Supersymmetry via the Dressing Field Method and Matter‐Interaction Supergeometric Framework

open access: yesAnnalen der Physik, EarlyView.
Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley   +1 more source

Compressibility Function and Speed of Sound in the Non‐Commutative Quantum Hadrodynamics Type‐I Model for Neutron Stars

open access: yesAstronomische Nachrichten, EarlyView.
ABSTRACT We investigate the effects of a minimal measurable length on neutron stars, within the quantum hadrodynamics (QHD‐I) model modified by the Generalized Uncertainty Principle (GUP). Working in a deformed Poisson algebra framework, we incorporate GUP effects via a time‐invariant transformation of the phase space volume, effectively reducing the ...
João Gabriel Galli Gimenez   +2 more
wiley   +1 more source

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