Sökning: "convergence theorems"

Visar resultat 1 - 5 av 7 uppsatser innehållade orden convergence theorems.

  1. 1. Implementation of Dyson equation to accelerate convergence in RS-LMTO-ASA code

    Master-uppsats, Uppsala universitet/Materialteori

    Författare :Elis Uebel; Viktor Frilén; [2024]
    Nyckelord :Density functional theory; Dyson equation;

    Sammanfattning : First-principle calculations is a key ingredient for us to understand, improve and design new materials. Density functional theory (DFT) [1] has proven to be a very powerful tool and a number of different versions exist depending on the problem at hand. LÄS MER

  3. 2. An Introduction to Metric Spaces

    Kandidat-uppsats, Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

    Författare :Samuel Erickson Andersson; David Wiman; [2022]
    Nyckelord :Analysis; compact; convergence; limit; metric space; sequence; set; topology; Analys; följd; gränsvärde; kompakt; konvergens; metriskt rum; mängd; topologi;

    Sammanfattning : In this thesis we start off by ensuring that the reader is up to speed when it comes to some well known definitions and theorems from real analysis. We then introduce the reader to metric spaces and provide them with some examples such as the real numbers with the Euclidean distance, and compact sets with the Hausdorff distance. LÄS MER

  4. 3. Wiener-Lévy Theorem : Simple proof of Wiener's lemma and Wiener-Lévy theorem

    Kandidat-uppsats, Linnéuniversitetet/Institutionen för matematik (MA)

    Författare :Jose Eduardo Vasquez; [2021]
    Nyckelord :Wiener-Lévy Theorem; Wiener s Lemma; Fourier series; Complex analysis;

    Sammanfattning : The purpose of this thesis is to formulate and proof some theorems about convergences of Fourier series. In essence, we shall formulate and proof Wiener's lemma and Wiener-Lévy theorem which give us weaker conditions for absolute convergence of Fourier series. LÄS MER

  5. 4. The Henstock–Kurzweil Integral

    Kandidat-uppsats, Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Författare :Manolis David; [2020]
    Nyckelord :Henstock–Kurzweil integral; generalized Riemann integral; gauge integral; Denjoy–Perron integral; narrow Denjoy integral; Perron integral; non-absolute integration; Lebesgue outer measure; absolute integrability; fundamental theorem of calculus; convergence theorems; single variable calculus;

    Sammanfattning : Since the introduction of the Riemann integral in the middle of the nineteenth century, integration theory has been subject to significant breakthroughs on a relatively frequent basis. We have now reached a point where integration theory has been thoroughly researched to a point where one has to delve quite deep into a particular subject in order to encounter open conjectures. LÄS MER

  7. 5. Ricciflödet

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Gustav Nilsson; [2019]
    Nyckelord :;

    Sammanfattning : I den här uppsatsen studeras Ricciflödet på 3-dimensionella unimodulära Liegrupper med vänsterinvariant metrik. Satser gällande konvergens och långtidsbeteende hos metriken formuleras och bevisas. LÄS MER