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• W4386990400 endingPage "63" @default.
• W4386990400 startingPage "1" @default.
• W4386990400 abstract "This chapter contains physical and mathematical preliminaries with different introductory remarks. Although some of the statements are informal and rather intuitive, they nevertheless provide hints on selecting complementary generating models and the corresponding analytical tools. The core concept is in the assumption that a technical simplicity of mathematical formalisms is due to their hidden links with subgroups of rigid-body motions representing a primary spatiotemporal base of Euclidean geometry followed by the classical dynamics. Such motions may be qualified as rudimentary macro-dynamic phenomena developed in the physical Galilean space. For instance, since rigid-body rotations are associated with sine waves and therefore (smooth) harmonic analyses, then translations and mirror-wise reflections must reveal some adequate tools for strongly anharmonic and nonsmooth approaches. In the most explicit way, such a complementarity is revealed through the related algebraic structures. The harmonic analyses associate with the regular complex numbers, whereas the suggested set of nonsmooth tools generates the so-called hyperbolic Clifford’s algebra, which is essentially enriched by the specific temporal dependence of its imaginary unit. This viewpoint is illustrated by physical examples, problem formulations, and solutions in different sections of this chapter, which is somewhat longer than usual to represent a short snapshot of the entire texts." @default.
• W4386990400 created "2023-09-24" @default.
• W4386990400 creator A5010089390 @default.
• W4386990400 date "2023-01-01" @default.
• W4386990400 modified "2023-09-30" @default.
• W4386990400 title "Introduction" @default.
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