Algebraic structure and Poisson brackets of single degree of freedom non-material volumes
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DOI: 10.1007/s00707-018-2119-1
Abstract: This paper investigates an algebraic structure and Poisson theory of single degree of freedom non-material volumes. The equations of motion are proposed in a contravariant algebraic form, and an algebraic product is determined. A consistent… read more here.
Keywords: structure poisson; algebraic structure; non material; structure ... See more keywords
The Algebraic Structure of Quantity Calculus
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DOI: 10.1515/msr-2017-0021
Abstract: Abstract The algebraic structure underlying the quantity calculus is defined axiomatically as an algebraic fiber bundle, that is, a base structure which is a free Abelian group together with fibers which are one dimensional vector… read more here.
Keywords: algebraic structure; structure quantity; quantity calculus; structure ... See more keywords