Essays about: "hilbert"

Showing result 1 - 5 of 51 essays containing the word hilbert.

  1. 1. Comparing the Locality Preservation of Z-order Curves and Hilbert Curves

    University essay from Göteborgs universitet/Institutionen för data- och informationsteknik

    Author : Alex Nordin; Adam Telles; [2023-08-03]
    Keywords : space-filling curve; software engineering; software testing;

    Abstract : Developing and testing software in the automotive industry and in the research of autonomous vehicles requires the costly querying of multidimensional data recorded from such a vehicle’s various sensors. Through encoding such data using space filling curves, faster queries could be achieved by reducing multiple dimensions into a singular dimension, while exploiting the patterns that emerge in the one-dimensional representation to still get accurate search results. READ MORE

  3. 2. On quantum systems and the measurement problem

    University essay from Stockholms universitet/Fysikum

    Author : Nicolas Boulle; [2023]
    Keywords : Quantum physics; the measurement problem; quantum information; Hilbert spaces; physical systems; unitary; collapse; Euler angles parametrization; Copenhagen interpretation; many- world; measure;

    Abstract : We focus on the Tensor Product Structure (TPS) of the Hilbert space and the fact that a choice in the TPS has an impact on the representation of the studied quantum system. We define the measurement problem in quantum mechanics and present some theories about quantum mechanics, each of them highlighting a different approach to quantum measurements. 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. An Introduction to Symmetry Protected Topological Phases

    University essay from Uppsala universitet/Teoretisk fysik

    Author : David Petrovic; [2023]
    Keywords : ;

    Abstract : In this thesis, we aim to display characteristics of symmetry protected topological phases within quantum mechanics (QM). Building on well known aspects of QM, we relate the formalism to basic group representation theory, and review the connection between projective symmetries and protected vacuum degeneracies. READ MORE

  6. 5. Monte Carlo Localization with Hilbert maps as Likelihood Fields

    University essay from KTH/Skolan för industriell teknik och management (ITM)

    Author : ALEXANDER WALLÉN KIESSLING; [2023]
    Keywords : Localization; Monte Carlo; Mapping; Hilbert maps; Observation Likelihood model.; Lokalisering; Monte Carlo; Kartläggning; Hilbert kartor; Sensor modell.;

    Abstract : This work focuses on using sparse Hilbert maps as continuous likelihood field observation models, instead of utilizing traditional beam observation models. This observation model is integrated with a Monte Carlo Localization scheme, and localization is simulated in randomly generated 2D mazes. READ MORE