Essays about: "asymptotic"

Showing result 1 - 5 of 91 essays containing the word asymptotic.

  1. 1. Geometry of high dimensional Gaussian data

    University essay from Linköpings universitet/Tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Author : Olof Samuel Mossberg; [2024]
    Keywords : HDLSS; high dimensional data; stochastic boundedness; asymptotic orthogonality; geometry; multivariate normal distribution; HDLSS; högdimensionell data; stokastisk begränsning; asymptotisk ortogonalitet; geometri; multivariat normalfördelning;

    Abstract : Collected data may simultaneously be of low sample size and high dimension. Such data exhibit some geometric regularities consisting of a single observation being a rotation on a sphere, and a pair of observations being orthogonal. This thesis investigates these geometric properties in some detail. READ MORE

  3. 2. On intermittency in the turbulent asymptotic suction boundary layer

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Edoardo Foschi; [2023]
    Keywords : Turbulence; turbulent boundary layer; intermittency; numerical simulation; DNS; tripping; suction;

    Abstract : This thesis presents a series of direct numerical simulations (DNS) performed in order to understand the discrepancy in the literature regarding turbulent asymptotic suction boundary layers (TASBLs) at low Reynolds numbers. The hypothesis to be tested is that the main reason for higher turbulence intensities observed in experiments compared to DNS is that the latter exhibits intermittent patches of laminar flow, developing both temporally and spatially. READ MORE

  4. 3. Coordinate­Free Spacecraft Formation Control with Global Shape Convergence under Vision­Based Sensing

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Omid Mirzaeedodangeh; [2023]
    Keywords : Bispherical Coordinates; 3D Formation Control; Spacecraft Formation Flying; Multiagent Systems; Prescribed Performance Control; Vision-Based Sensing; Bisfäriska Koordinater; 3D Formationskontroll; Rymdfarkostformationsflygning; Multiagentsystem; Föreskriven Prestandakontroll; Synbaserad Avkänning;

    Abstract : Formation control in multi-agent systems represents a groundbreaking intersection of various research fields with lots of emerging applications in various technologies. The realm of space exploration also can benefit significantly from formation control, facilitating a wide range of functions from astronomical observations, and climate monitoring to enhancing telecommunications, and on-orbit servicing and assembly. READ MORE

  5. 4. The Riemann Hypothesis and the Distribution of Primes

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : David Appelgren; Leo Tikkanen; [2023]
    Keywords : Riemann; Riemann Hypothesis; Zeta Function; Prime Number Theorem;

    Abstract : The aim of this thesis is to examine the connection between the Riemannhypothesis and the distribution of prime numbers. We first derive theanalytic continuation of the zeta function and prove some of its propertiesusing a functional equation. READ MORE

  6. 5. Asymptotic Symmetries and Dressed States in QED and QCD

    University essay from Stockholms universitet/Fysikum

    Author : Saimeng Zhou; [2023]
    Keywords : Dressed states; Large gauge transformation; Faddeev-Kulish formalism; Generalized coherent state operator; Wilson line; Infrared divergence; Asymptotic Hamiltonian; QED; QCD;

    Abstract : Infrared divergences arising in theories with massless gauge bosons have been shown to cancel in scattering amplitudes when using dressed states constructed from the Faddeev- Kulish approach to the asymptotic states. It has been established that these states are closely related to asymptotic symmetries of the theory, that is, non-vanishing gauge trans- formations at the asymptotic boundary. READ MORE