Results 101 to 110 of about 1,018 (285)

Computing square roots in quaternion algebras

open access: yes, 2023
We present an explicit algorithmic method for computing square roots in quaternion algebras over global fields of characteristic different from 2.Comment: Final version of the paper formatted by the editorial board to appear in Fundamenta ...
Koprowski, Przemysław
core  

Linked triples of quaternion algebras [PDF]

open access: yesPacific Journal of Mathematics, 2014
Let \(F\) be a field of characteristic not \(2\). A collection \(Q_1,\ldots,Q_n\) (\(n\geq 2\)) of quaternion algebras over \(F\) is said to have a common slot if there exist \(a,b_i\in F^*\) with \(Q_i\cong (a,b_i)\), \(1\leq i\leq n\). This collection is said to be linked if any pair \(Q_i,Q_j\) has a common slot. \textit{E. Peyre} [Proc. Symp.
openaire   +1 more source

Eco‐Innovation, Economic Complexity, and Sustainability: A Bibliometric and Systematic Literature Review

open access: yesBusiness Strategy and the Environment, EarlyView.
ABSTRACT This study systematizes the literature on eco‐innovation and economic complexity, aiming to understand how the sophistication of productive structures shapes countries' capacity to develop environmentally responsible innovations, and how eco‐innovation may, in turn, influence productive sophistication.
Gregory Matheus Pereira de Moraes   +1 more
wiley   +1 more source

Quaternionic and Octonionic Frameworks for Quantum Computation: Mathematical Structures, Models, and Fundamental Limitations

open access: yesQuantum Reports
We develop detailed quaternionic and octonionic frameworks for quantum computation grounded on normed division algebras. Our central result is to prove the polynomial computational equivalence of quaternionic and complex quantum models: Computation over ...
Johan Heriberto Rúa Muñoz   +2 more
doaj   +1 more source

Commutative Quaternion Matrices

open access: yes, 2014
In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their fundamental matrices.
Tosun, Murat, Kösal, Hidayet Hüda
core   +1 more source

Beyond Economic‐Environmental Dominance: Knowledge Management and Responsible Sustainability in Business Strategy Research

open access: yesBusiness Strategy and the Environment, EarlyView.
ABSTRACT This study provides an exploratory, descriptive analysis of how knowledge management (KM) research engages with responsible sustainability from a strategic perspective. Using bibliometric science mapping, we analyse 97 Web of Science publications to identify dominant thematic patterns, relative emphases and conceptual blind spots shaping the ...
Jaime J. González‐Masip
wiley   +1 more source

Involutions on tensor products of quaternion algebras

open access: yes, 2019
: We study possible decompositions of totally decomposable algebras with involution, that is, tensor products of quaternion algebras with involution.
Barry, Demba
core  

A‐optimal model‐based design of experiments for processes with uncertain inputs

open access: yesThe Canadian Journal of Chemical Engineering, EarlyView.
Abstract Model‐based design of experiments (MBDoE) techniques are tools for selecting experimental conditions that enable accurate parameter estimation for mechanistic models. Most MBDoE approaches assume that the selected experimental conditions will be implemented perfectly, without uncertainties in the independent variables.
Bright Ofori   +3 more
wiley   +1 more source

Color Edge Detection Hardware based on Geometric Algebra.

open access: yes, 2006
Modern techniques treat color images as separate monochrome images for processing. Partly, because there is no straightforward generalization of linear filters available for color.
B. Mishra   +5 more
core   +1 more source

Quantum Money from Quaternion Algebras [PDF]

open access: yes, 2022
We propose a new idea for public key quantum money. In the abstract sense, our bills are encoded as a joint eigenstate of a fixed system of commuting unitary operators. We perform some basic analysis of this black box system and show that it is resistant
Shahed Sharif   +2 more
core  

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