Efficient representation and derivation of fundamental transformation of relationships using Euler angles and quaternions

This paper introduces and defines two principal rotational methods;the Euler angles and the quaternions theories with a brief insight into their definitions and algebraic properties. These methods are widely used in various scientific fields, only marginally in the aircraft industry, the robotics, the quantum mechanics, the electro mechanics, the cameras systems, the computer graphics, the heavy industry and other. The main part of this paper is devoted to the derivation of basic equations of the vector rotation around each rotational x, y, z axis using both rotational methods. Then, the general three-dimensional rotation matrix and the general operator of the quaternion rotation are derived. Finally the utilization of the matrices and quaternion equations are demonstrated on a simple example. © 2019 Authors. All rights reserved.3019604102

Broadband Satellite Systems - Services and Applications in Air Traffic

Import 03/08/2012Tato diplomová práce pojednává o současných možnostech širokopásmových družicových systémů – jejich službách a aplikacích určených pro použití v letecké dopravě. Popisuje způsoby jimiž mohou být multimédia nápomocna tomuto odvětví. Zaměřuje se na možnosti multimediálních datových přenosů pomocí satelitů v rámci palubních systémů. Tuto problematiku zahrnuje popis jejich stavby, popisy funkcí a použití. Popsuje roli a vliv těchto systémů pro zvýšení úrovně služeb v letecké dopravě. Mezi těmito možnostmi se práce zaměřuje na technologie in-flight entertainment. Práce rovněž zahrnuje porovnání zařízení na palubách letadel Airbus 380 a Boeing 787.This thesis deals with the current possibilities of broadband satellite systems - their services and applications intended for use by aviation. It describes ways in which multimedia can assist for this industry. As well, this thesis shows the possibilities of multimedia data transmission for on-board equipments via satellites. These include the areas of their structure, function and application. It describes the role and influence of these systems and how they can raise the level of air transport services. Among these options, the work focuses on technology in-flight entertainment. This thesis also covers comparing the equipment on board the Airbus 380 and Boeing 787.342 - Institut dopravyvýborn

Conformally geodesic mappings satisfying a certain initial condition

In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds (M,g) and (M,g), i.e. mappings f:M→M satisfying f = f; 1 o f; 2 o f; 3, where f; 1, f3 are conformal mappings and f; 2 is a geodesic mapping. Suppose that the initial condition f*g = kg is satisfed at a point x; 0 ∈ M and that at this point the conformal Weyl tensor does not vanish. We prove that then f is necessarily conformal.Czech Science FoundationGrant Agency of the Czech Republic [P201/11/0356]; Council of the Czech Government [MSM 6198959214

On holomorphically projective mappings of parabolic Kahler manifolds

In this paper we study fundamental equations of holomorphically projective mappings of parabolic Kahler spaces (which are generalized classical, pseudo- and hyperbolic Kahler spaces) with respect to the smoothness class of metrics. We show that holomorphically projective mappings preserve the smoothness class of metrics.Palacky University Olomouc [IGA PrF 2014016

Universal approach to derivation of quaternion rotation formulas

This paper introduces and defines the quaternion with a brief insight into its properties and algebra. The main part of this paper is devoted to the derivation of basic equations of the vector rotation around each rotational x, y, z axis. Then, the equations of generalized quaternion rotation and express the general rotation operator is derived. Finally the utilization of equations is demonstrated on a simple example. For purposes of simplicity the quaternions theory is demonstrated around the z-axis by γ angle. For the purpose of this paper, the fact that the subspace of vector quaternions may be regarded as being equivalent to the ordinary is used

Application of Human Factors Knowledge in an Air Transport Operator

Import 29/09/2010CHUDÁ, H. Aplikace znalostí lidského činitele u provozovatele letecké dopravy: bakalářská práce. Ostrava : VŠB – Technická univerzita Ostrava, Fakulta strojní, Ústav letecké dopravy, 2010, 49 s. Vedoucí práce: Smrž, V. Předložená bakalářská práce analyzuje znalosti aplikace poznatků lidského činitele do praxe leteckých provozovatelů, které mají vliv na bezpečnost letecké dopravy. Práce dále navrhuje úpravy systému řízení leteckého provozovatele pro zabezpečení optimální aplikace poznatků lidského činitele v zájmu dalšího zvyšování úrovně bezpečnosti při provozování obchodní letecké dopravy na základě současného vědeckého poznání v oblasti této vědní disciplíny. Část práce je věnována přehledu klíčových legislativních požadavků na lidského činitele.CHUDÁ, H. Application of Human Factors Knowledge in an Air Transport Operator: Bachelor Thesis. Ostrava: VŠB –Technical University of Ostrava, Faculty of Mechanical Engineering, Departmnent of Air Transport, 2010, 49 s. Thesis head: Smrž, V. Bachelor thesis analyzes the application of knowledge of human factors in the practice of air operators, which have an impact on aviation safety. The thesis also proposes adjustments to the system of air service to ensure optimal application of knowledge of human factors in order to further improve the safety in commercial air transport operations, based on current scientific knowledge in this field. Part of the thesis is devoted to an overview of key legislative requirements on the human factor.342 - Institut dopravyvýborn

Conformal holomorphically projective mappings satisfying a certain initial condition

In this paper we study conformal holomorphically projective mappings between conformal e-Kähler manifolds Kn=(M, g, F ) and Kn=( M, g, F ), i. e. diffeomorphisms f : M → M satisfying f = f1 o f2 o f3, where f1, f3 are conformal mappings and f2 is a holomorphically projective mapping between e-Kähler manifolds (i. e. Kähler, pseudo-Kähler and hyperbolic Kähler manifolds). Suppose that the initial condition f * g = k . g is satisfied at a point x0 ∈ M and that at this point the Weyl conformal tensor satisfies a certain inequality. We prove that the mapping f is then necessarily conformal. © 2013 Miskolc University Press.[CZ.1.07/2.3.00/30.0035

First quadratic integral of geodesics with certain initial conditions

In this paper we investigate first quadratic integrals of geodesics a of n-dimensionaly (pseudo-) Riemannian spaces Vn with metric g satisfying at a finite number of points x following conditions ax = f(x) gx. It comes out that even under this conditions it holds that first quadratic integrals of geodesics is trivial, i.e. a = const g

Theory of near–zone measurement with transformation to aerial surface and gain measurement

The paper presents an analysis study of the theory of measurement in the near, Fresnel and Fraunhofer zone with transformation to aerial surface as well as real measurements of the gain of aerial system of electromagnetic fields of devices and components used in the safety industry in an aneochoic chamber. © 2015 FEI STU.[CZ.1.07/2.3.00/30.0035

F-planar mappings with certain initial conditions

In this paper we investigate special F-planar mappings of n-dimensionaly (pseudo-) Riemannian spaces Vn → V¯n with metric satisfying at a finite number of points following conditions g¯(X, Y ) = f g(X, Y ). It comes out that even under this conditions it holds that F-planar mapping is homothetic