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https://doi.org/10.26485/0459-6854/2018/68.1/9 In this paper we introduce and study a special one-parameter generalization of Fibonacci quaternions. We investigate their properties and we give generalizations of some classical results for Fibonacci quaternions.
https://doi.org/10.26485/0459-6854/2018/68.1/8 A Galois-type theory for Turing machine is presented as well as its counterpart for binary and ternary structures in physics. In addition an idea of binary-ternary decomposition of quinary and senary structures is indicated with application to polymer research.
https://doi.org/10.26485/0459-6854/2018/68.1/2 We present a theorem about irreducibility of a polynomial that is the resultant of two others polynomials. The proof of this fact is based on the field theory. We also consider the converse theorem and some examples.
https://doi.org/10.26485/0459-6854/2018/68.1/6 Isoptic curves have been known and studied since the 18th century. Nowadays they have been examined inter alia by Benko, Cie´slak, G´o´zd´z, Miernowski and Mozgawa in many papers for example in [1], [2], [3] and [7]. We want to propose a new point of view isoptics. For a given oval we consider a dual curve on Blaschke cylinder and we construct a dual...
https://doi.org/10.26485/0459-6854/2018/68.1/4 In this paper the temperature distribution of nanoscale structure is investigated. Presented analyses focus on two-dimensional rectangular structure. The problem has been solved using the Dual-phase-Lag heat transfer model. In order to reduce the complexity of the problem, the reduction methodology based on Krylov subspace has been used. The reduced-order...
https://doi.org/10.26485/0459-6854/2018/68.1/3 This paper deals with an innovative design of a coil producing magnetic fields up to the magnitude of 55T within a volume of approximately a few dm3. The initial part of the paper describes of the design of the coil. The effective magnetic field in the coil is produced in a cylindrical volume located eccentrically inside a cylinder. Winding of the coil...
https://doi.org/10.26485/0459-6854/2018/68.1/5 This paper presents the comparison of the temperature distribution in two-dimensional nanometric structure received using two different heat transfer models. The first one is the classical approach based on Fourier-Kirchhoff model, while the second one uses the modern methodology related to Dual-Phase-Lag equation. In both cases the reduced order models...
https://doi.org/10.26485/0459-6854/2018/68.1/1 The article describes a structure and a principle of operation of several innovative models of linear electric motors. Energy of electricity is transformed into kinetic energy of forwards motions inside these engines, without mechanical intermediary components. A principle of operation is explained and discussed for each of the described models. Application...
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