Cayley algebra

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Cayley algebra

[′kā·lē ‚al·jə·brə]
(mathematics)
The nonassociative division algebra consisting of pairs of quaternions; it may be identified with an eight-dimensional vector space over the real numbers.
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Key players profiled in the report include Cisco Systems Inc., Octonion SA, Kaa IoT Technologies, LLC, NEC Corporation, Honeywell International, Novire Technologies, SAP SE, Intel Corporation, Oracle Corporation, Bosch Software Innovations GmbH, Rockwell Automation, Inc., BICS SA/NV, Amazon Web Services, International Business Machine (IBM) Corporation, and PTC Inc.
Octonion has developed a software solution to this problem which is built into Avnet's SmartEdge Agile device: allowing engineers to develop AI solutions for IoT systems that involve significant edge processing without hiring expensive help or acquiring in-depth expertise themselves.
Avnet (Nasdaq: AVT), a global technology solutions provider, and Octonion, an Intelligent Edge IoT software provider, have teamed up with Orange, a mobile network operator, to launch a customized yet also modular 'plug and play' Avnet SmartEdge Agile IoT device using Octonion's Brainium meta-sensing artificial intelligence (AI) software, designed specifically for the LTE-M network, the company said.
Quaternion and Octonion Color Image Processing with MATLAB
There are four types of divisions algebras [14], namely, the real, complex, quaternion, and octonion algebras.
Actility has partnered with Octonion, the end-to-end IoT software platform.
Instead of using the lattice, these Noise-free FHE schemes are constructed based on the classical number-theoretic concepts such as octonion algebra, commutative ring, and non-commutative ring.
Key players profiled in the report include Cisco Systems Inc., Octonion SA, Kaa IoT Technologies, LLC., NEC Corporation, Honeywell International, Novire Technologies, SAP SE, Intel Corporation, Oracle Corporation, Bosch Software Innovations GmbH, Rockwell Automation, Inc., BICS SA/NV, Amazon Web Services, International Business Machine (IBM) Corporation, and PTC Inc.
By means of the dual octonion algebra, the author [62] formulated a new set of electrodynamic equations for massive dyons and made an attempt to obtain the symmetrical form of generalized Proca-Dirac-Maxwell equations with respect to the dual octonion form.
Introduction to Octonion and Other Non-Associative Algebras in Physics.
Quaternion number belongs to the group of "very good" algebras: of real, complex, quaternion, and octonion, and normally defined as follows [1]
Our investigation arose in fact out of the question whether the nonassociative octonions (more precisely, the 7-dimensional commutator algebra of imaginary octonions) can be viewed as part of an [L.sub.[infinity]] algebra.