Essays about: "Hyperbolic"

Showing result 1 - 5 of 72 essays containing the word Hyperbolic.

  1. 1. Projective Geometry in Kinematics

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Emil Eriksson; [2024]
    Keywords : ;

    Abstract : In this thesis, we study projective geometry and show a connection to kinematics. We show how the group of rigid body motions in three-dimensional space can be parameterized on a hyperbolic quadric in a seven-dimensional projective space. We also show that this quadric is a geometry with triality, and we discuss triality from a kinematic viewpoint. READ MORE

  3. 2. Exocomets in the β Pictoris system

    University essay from Lunds universitet/Astrofysik; Lunds universitet/Fysiska institutionen

    Author : Klaudia Jaworska; [2024]
    Keywords : Physics and Astronomy;

    Abstract : Comets have been a source of fascination throughout the history of man. In recent years, advances in technology have opened up for the study of extrasolar objects, among them exocomets. The first exocomets were observed in the β Pictoris system almost 50 years ago and the system has been of interest ever since. READ MORE

  4. 3. Investigation of soliton equations with integral operators and their dynamics

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Ruben Vikars Hall; Carl Svennerstedt; [2023]
    Keywords : Soliton; Calogero-Moser-Sutherland system; Lax pair; Hilbert transform; Szegö projection; Benjamin-Ono equation; Non-chiral Intermediate long-wave equation; Szegö equation;

    Abstract : We present Lax pairs and functions called Lax functions corresponding to Calogero- Moser-Sutherland (CMS) systems. We present the Benjamin-Ono (BO) equation and a pole ansatz to the BO equation, constructed from a specific type of Lax function called a special Lax function corresponding to Rational and Trigonometric CMS systems. READ MORE

  5. 4. On Geometric Number

    University essay from Uppsala universitet/Analys och partiella differentialekvationer

    Author : Petter Gunnarsson; [2023]
    Keywords : clifford algebra; hypercomplex number; octonion;

    Abstract : This is an overview of geometric algebras in dimensions 0-4 from the perspective of the concept of number itself. It is developed from a historic viewpoint and investigates and develops a pedagogic approach emphasizing the geometric aspects of the subject. READ MORE

  6. 5. Application of Physics-Informed Neural Networks for Galaxy Dynamics

    University essay from Linnéuniversitetet/Institutionen för fysik och elektroteknik (IFE)

    Author : Lucas Barbier; [2023]
    Keywords : ;

    Abstract : Developing efficient and accurate numerical methods to simulate dynamics of physical systems has been an everlasting challenge in computational physics. Physics-Informed Neural Networks (PINNs) are neural networks that encode laws of physics into their structure. READ MORE