arXiv subjects

M. V. Semotiuk

Publications and source records attributed to M. V. Semotiuk.

2 recordsLinked to original sources

arXiv2023

Technocratic model of the human auditory system

In this work, we investigate the phenomenon of transverse resonance and transverse standing waves that occur within the cochlea of living organisms. It is demonstrated that the predisposing factor for their occurrence is the cochlear shape, which resembles a conical acoustic tube coiled into a spiral and exhibits non-uniformities on its internal surface. This cochlear structure facilitates the analysis of constituent sound signals akin to a spectrum analyzer, with a corresponding interpretation of the physical processes occurring in the auditory system. Additionally, we conclude that the cochlear duct's scala media, composed of a system of membranes and the organ of Corti, functions primarily as an information collection and amplification system along the cochlear spiral. Collectively, these findings enable the development of a novel, highly realistic wave model of the auditory system in living organisms based on a technocratic approach within the scientific context.

q-bio.NC↗

arXiv2020

Generalized numerical-theoretical transformation

The generalized number-theoretic transformation (NPT) is formulated on the basis of the exponential function theorem, which allows us to replace operations modulo the expression as a whole by modulo operations on the exponent of this function, which makes this theorem fundamental for NPT, since it is such a function used in NPT as a weight conversion function. On the basis of this theorem, all the main theorems of the generalized NPT, their duality, as well as the properties of the weight functions of this transformation are formulated and proved. The choice of the basis of this function, as which any number can be chosen, including a complex one, determines not only one or another type of transformation, but also the module of the transformation itself. This allows us to generalize a number of well-known NPTs, such as Mersen, Gauss, and even Fourier, in the form of a unified theory of discrete transformations.

math.GM↗