ORIGINAL PAPER
Mechanical Homogeneous Continuous Dynamical Systems Holor Algebra - Steady-State Alternating Velocity Analysis
 
 
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Institute of Technology, State Higher Vocational School in Nowy Sącz, 33-300 Nowy Sącz, ul. Zamenhofa 1a, Poland
 
 
Online publication date: 2016-12-08
 
 
Publication date: 2016-12-01
 
 
International Journal of Applied Mechanics and Engineering 2016;21(4):805-826
 
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ABSTRACT
In this article, a new mathematical representation of the sinusoidal alternating velocity, force and power by means of some complex quantities, termed ‘holors’ is proposed. The word holor is a term to describe a mathematical entity that is made up of one or more independent quantities, and includes complex numbers, scalars, vectors, matrices, tensors and other hypernumbers. Holors, thus defined, have been known for centuries but each has been developed more or less independently, accompanied by separate nomenclature and theory.
 
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eISSN:2353-9003
ISSN:1734-4492
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