Essays about: "weak topology"

Showing result 1 - 5 of 9 essays containing the words weak topology.

  1. 1. An operator theoretic approach to the Riemann Hypothesis

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Ramon Arjan van de Scheur; [2023]
    Keywords : Riemann hypothesis; Prime number theorem; Prime number theorem for arithmetic progressions; operator theoretic equivalent; compact operator; prime-counting function; Chebyshev function; Laplace transform; Fourier transform; convolution operator; weak topology; strong topology; compact perturbation; Tauberian theorem; Poisson kernel; holomorphic; self-adjoint; spectrum; trace; Mathematics and Statistics;

    Abstract : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. READ MORE

  2. 2. Signatures of topological phases in an open Kitaev chain

    University essay from KTH/Fysik

    Author : Natalia Ermakova; [2021]
    Keywords : Kitaev chain; open quantum systems; Lindblad equation; topological quantum matter;

    Abstract : Some physical systems exhibit topological properties in the form of topological invariants— features of the system that remain constant unless the system undergoessignificant changes i.e. changes that require closing the energy gap of the Hamiltonian.This work studies one example of a system with topological properties — a Kitaevchain. READ MORE

  3. 3. Identifying Power Quality Issues in LV Distribution Grid by Using Data from Smart Meters : Exploring possibilities of machine learning algorithms

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

    Author : Samantha Chen; [2020]
    Keywords : ;

    Abstract : Since there is a significant potential to supervise the low voltage network with the assistance of the end-customer smart meters, Vattenfall Eldistribution AB wants to take advantage of such data. Therefore, this project’s overall goal is to investigate how some specific grid disturbances could be detected in certain meter data types. READ MORE

  4. 4. On using a zero lower bound on the physical density in Material DistributionTopology Optimization

    University essay from Umeå universitet/Institutionen för datavetenskap

    Author : Quoc Khanh Nguyen; [2018]
    Keywords : ;

    Abstract : Material distribution topology optimization methods aim to place optimally material within a given domain or space. These methos use a socalled material indicator function r to determine for each point within the design domain whether it contains material (r 1) or void (r 0). READ MORE

  5. 5. Connect street light control devices in a secure network

    University essay from Högskolan i Halmstad

    Author : Efstathios Lykouropoulos; Andreas Kostoulas; Zainab Jumaa; [2015]
    Keywords : Network Security;

    Abstract : Wireless communications is a constantly progressing technology in network engineering society, creating an environment full of opportunities that are targeting in financial growth, quality of life and humans prosperity. Wireless security is the science that has as a goal to provide safe data communication between authorized users and prevent unauthorized users from gaining access, deny access, damage or counterfeit data in a wireless environment. READ MORE