Essays about: "convergence theorems"

Showing result 1 - 5 of 6 essays containing the words convergence theorems.

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

    University essay from Uppsala universitet/Materialteori

    Author : Elis Uebel; Viktor Frilén; [2024]
    Keywords : Density functional theory; Dyson equation;

    Abstract : 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. READ MORE

  3. 2. An Introduction to Metric Spaces

    University essay from Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

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

    Abstract : 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. READ MORE

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

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

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

    Abstract : 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. READ MORE

  5. 4. The Henstock–Kurzweil Integral

    University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Author : Manolis David; [2020]
    Keywords : 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;

    Abstract : 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. READ MORE

  6. 5. Observations on continued fractions from Ford's point of view

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Raul Hindov; [2016]
    Keywords : continued fractions; Ford circles; integer factoring; Diophantine approximation; Mathematics and Statistics;

    Abstract : Detta är ett projekt på en geometrisk metod för att visualisera beräkning av kedjebråk, som har utvecklats av Lester R. Ford på 1930-talet. Beskrivningen av metoden följs med användning tekniken av Ford cirklar på tre olika fall. READ MORE