OCTONION

作品数:12被引量:18H指数:2
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相关领域:理学自动化与计算机技术更多>>
相关期刊:《Acta Mathematica Scientia》《Analysis in Theory and Applications》《Frontiers of Mathematics in China》《Applied Mathematics》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划更多>>
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Powers of Octonions
《Applied Mathematics》2021年第2期75-84,共10页W. E. Ahmed 
As it is known, Binomial expansion, De Moivre’s formula, and Euler’s formula are suitable methods for computing the powers of a complex number, but to compute the powers of an octonion number in easy way, we need to...
关键词:OCTONION Matrix Algebra 
The Cyclic Universes Model Based on the Split Division Algebras
《Journal of Modern Physics》2018年第13期2257-2273,共17页Ding-Yu Chung 
The proposed cyclic universes model based on the split division algebras accounts for the inflation, the Big Bang, gravity, dark energy, dark matter, the standard model, and the masses of all elementary particles. The...
关键词:CYCLIC UNIVERSES MODEL Division Algebras Furey COMPLEX Quaternion COMPLEX OCTONION DARK Energy DARK Matter Standard MODEL Gravity 
Split Octonion Reformulation for Electromagnetic Chiral Media of Massive Dyons
《Communications in Theoretical Physics》2017年第12期701-710,共10页B.C.Chanyal 
In an explicit, unified, and covariant formulation of an octonion algebra, we study and generalize the electromagnetic chiral fields equations of massive dyons with the split octonionic representation. Starting with 2...
关键词:OCTONIONS Zorn vector matrix chiral media constitutive relations Poynting theorem 
Actility与Octonion建立合作关系
《中国自动识别技术》2017年第4期31-31,共1页
LPWA网络全球领导者Actility与端对端IoT软件平台提供商Octonion建立合作伙伴关系.Octonion将加入Thing Park生态系统,为IoT开发人员和客户提供平台,将物联网产品开发速度提升4倍.Octonion还加入了ThingPark计划.
关键词:合作关系 合作伙伴关系 软件平台 产品开发 生态系统 IOT 提供商 端对端 
Actility与Octonion加快LoRaWAN项目部署速度
《中国自动识别技术》2017年第4期29-29,共1页
LPWA网络全球领导者Actility与端对端IoT软件平台提供商Octonion建立合作伙伴关系.Octonion将加入Thing Park生态系统,为IoT开发人员和客户提供平台,将物联网产品开发速度提升4倍.系统集成商或用户通过按照他们想要的方式构建一个具有...
关键词:速度 部署 合作伙伴关系 软件平台 生态系统 产品开发 系统集成商 无线连接 
Quaternion rings and octonion rings
《Frontiers of Mathematics in China》2017年第1期143-155,共13页Gangyong LEE Kiyoichi OSHIRO 
In this paper, for rings R, we introduce complex rings C(R), quaternion rings H(R), and octonion rings O(R), which are extension rings of R; R C(R) H(R) O(R). Our main purpose of this paper is to sho...
关键词:Hamilton quaternion numbers Cayley-Grave's tables complex rings quaternion rings octonion rings Frobenius algebras QF-rings 
Inhomogeneous Cauchy-Riemann equation in Octonion space
《Applied Mathematics(A Journal of Chinese Universities)》2015年第4期447-452,共6页GONG Ding-dong 
Supported by the National Natural Science Foundation of China(11171298);the Zhejiang Natural Science Foundation of China(Y6110425)
The integral representation of differentiable functions in Octonion space is obtained and the explicit solution of the inhomogeneous Cauchy-Riemann equation is given by integral representation. As an application, the ...
关键词:OCTONION integral representation of differentiable functions inhoraogeneous Cauchy-RiemannEquation Cousin problem. 
Octonion Analysis of Several Variables被引量:2
《Communications in Mathematics and Statistics》2014年第2期163-185,共23页Haiyan Wang Guangbin Ren 
This work was supported by the NNSF of China(11071230),RFDP(20123402110068).
The octonions are distinguished in the M-theory in which Universe is the usual Minkowski space R4 times a G2 manifold of very small diameter with G2 being the automorphism group of the octonions.The multidimensional o...
关键词:Several octonionic variables Bochner–Martinelli formula Hartogs theorem Non-homogenous Cauchy–Riemann equations 
Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley-Dickson Algebras, Their Applications to PDE
《Advances in Pure Mathematics》2012年第2期63-103,共41页Sergey Victor Ludkovsky 
Multidimensional noncommutative Laplace transforms over octonions are studied. Theorems about direct and inverse transforms and other properties of the Laplace transforms over the Cayley-Dickson algebras are proved. A...
关键词:Laplace Transform Quaternion Skew Field OCTONION ALGEBRA Cayley-Dickson ALGEBRA Partial Differential Equation NON-COMMUTATIVE Integration 
Three-line Theorem on the Octonions被引量:1
《Acta Mathematica Sinica,English Series》2004年第3期483-490,共8页XingMinLI LiZhongPENG 
Research supported by the NNSF (19631080);973 Project of China (1999075105);NSF of Guangdong (030497,020586);NSF of Guangzhou (232)
The three-line theorem on the octonions is obtained, which generalizes the result of J. Peetre and P. Sj?lin from the associative Clifford algebra to non-associative octonion algebra.
关键词:OCTONION O-analytic functions 3-line theorem 
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