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Physical theories in hypercomplex geometric descriptionCompact description is given of algebras of poly-numbers: quaternions, bi-quaternions, double

Structure of hypercomplex units and exotic numbers as sections of Bi-quaternionsA survey of all families of hypercomplex (HC-) numbers is suggested with emphasis on exotic sets

Hypercomplex algebraic structures originating on a set of one-dimensional elements and hypercomplex numbers with units built of the initial simple elements. It is demonstrated that this fundamental

On physical models in quantum mechanics of hypercomplex numbers.

Splitting of 3D quaternion dimensions into 2D-sells and a "world screen technology"Hypercomplex number

CORDIC-lifting factorization of paraunitary filter banks based on the quaternionic multipliers for lossless image coding, including those with pairwise-mirror-image symmetric frequency responses. The hypercomplex number theory

Embeddings of Almost Hermitian Manifold in Almost Hyper Hermitian Manifold and Complex (Hypercomplex) Numbers in Riemannian Geometry (Hypercomplex) Numbers in Riemannian Geometry

RESCUE OF ALGEBRAS AND THE KEY TO THE SECRETS OF MECHANICSHYPERCOMPLEX NUMBERS

Commutative Hypercomplex Numbers and the Geometry of Two Sets is the classification of such geometries. In this paper, by complexing with associative hypercomplex numbers, functions

Generalized Bernoulli Numbers and Polynomials in the Context of the Clifford AnalysisIn this paper, we consider the generalization of the Bernoulli numbers and polynomials for the case

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