Results 51 to 60 of about 245,475 (190)
On Identities of a Ternary Quaternion Algebra [PDF]
Communications in Algebra, 2011 This article studies a simple 4-dimensional ternary algebra 𝒜 which appears analogously to the quaternions from the Lie algebra 𝔰𝔩(2). We describe the heights 1 and 2 identities, and the derivations of 𝒜. Based on 𝒜, some ternary enveloping algebras for ternary Filippov algebras are constructed.
Beites, P. D. +3 more
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Abstract and Applied Analysis, 2017 The continuous quaternion wavelet transform (CQWT) is a generalization of the classical continuous wavelet transform within the context of quaternion algebra.
Mawardi Bahri, Ryuichi Ashino
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The “fundamental theorem of algebra” for quaternions [PDF]
Bulletin of the American Mathematical Society, 1944 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eilenberg, Samuel, Niven, Ivan
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Generalized Quaternions and Matrix Algebra
Afyon Kocatepe University Journal of Sciences and Engineering, 2023 In this paper, we established the connection between generalized quaternion algebra and real (complex) matrix algebras by using Hamilton operators. We obtained real and complex matrices corresponding to the real and complex basis of the generalized quaternions. Also, we investigated the basis features of real and complex matrices. We get Pauli matrices
Erhan ATA, Ümit Ziya SAVCI
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Ray Optics and Quaternion [PDF]
, 2020 四元数(Quaternion) は1843年10月16日、IrelandのWilliam Rowan Hamiltonによって考案された、ベクトルに似た“数(number)”である。 四元数の代数（ Quaternion algebra）は、光線追跡においては大変有用な計算手法であるが、一般的には馴染みがなく、あまり知られてはいない。 本論文では、四元数が光線光学において、いかに便利であるかを具体的な例を挙げながら説明する。Quaternion was invented by William Rowan
3558 +4 more
core
A Graph-Based Recommendation Algorithm on Quaternion Algebra
, 2022 This study presents a novel Quaternion-based link prediction method to be used in different recommendation systems. The method performs Quaternion algebra-based computations while making use of expressive and wide-ranged learning properties of the ...
Kurt,Z. +7 more
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A reduction from Hawk to the principal idealproblem in a quaternion algebra [PDF]
International audienceIn this article we present a non-uniform reduction from rank-2 module-LIP over Complex Multiplication fields, to a variant of thePrincipal Ideal Problem, in some fitting quaternion algebra.
Pellet-Mary, Alice +5 more
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Advancing human activity recognition with quaternion-based recurrent neural networks
AutomatikaHuman activity recognition (HAR) stands as a vital nexus in the synthesis of healthcare, sports analytics, and human–computer interaction. This research introduces a groundbreaking approach to HAR by amalgamating the multidimensional strengths of ...
S. Gayathri Devi +4 more
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LEVELS AND SUBLEVELS OF QUATERNION ALGEBRAS [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quaternion Algebras with the Same Subfields [PDF]
, 2010 G. Prasad and A. Rapinchuk asked if two quaternion division F -algebras that have the same subfields are necessarily isomorphic. The answer is known to be "no" for some very large fields. We prove that the answer is "yes" if F is an extension of a global field K so that F /K is unirational and has zero unramified Brauer group.
Garibaldi, Skip, Saltman, David J.
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