Sökning: "Euclidean Domains"

Visar resultat 1 - 5 av 7 uppsatser innehållade orden Euclidean Domains.

  1. 1. Reliable graph predictions : Conformal prediction for Graph Neural Networks

    Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Författare :Albin Bååw; [2022]
    Nyckelord :Conformal prediction; Graph Neural Networks; Dynamic graphs; Distribution shift; Coverage gap; Konform prediktion; Neurala Nätverk för Grafer; Dynamiska grafer; Distributionsförändring; täckningsgap;

    Sammanfattning : We have seen a rapid increase in the development of deep learning algorithms in recent decades. However, while these algorithms have unlocked new business areas and led to great development in many fields, they are usually limited to Euclidean data. LÄS MER

  3. 2. Gaussian Integers and Other Quadratic Integer Rings

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

    Författare :Erik Landin; Seif Hussein; [2021]
    Nyckelord :;

    Sammanfattning : This thesis deals with quadratic integer rings, in particular the Gaussian integers Z}[i]. Concepts such as quadratic extensions, Euclidean domains and unique factorization domains will be introduced to the reader. LÄS MER

  4. 3. RSA in extensions of the ring of integers

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

    Författare :Alessia Pina; [2017]
    Nyckelord :;

    Sammanfattning : The aim of this work is to create a variant of the RSA classical algorithm, through extensions from the ring of integers Z to two Euclidean domains:the domain of Gaussian integers, Z[i], and the domain generated by p2, Z[p2]. To achieve this purpose, the study of the theory behind both these sets becomes necessary, to ensure that all the properties are preserved when moving into extensions and so that the construction of the algorithm is possible. LÄS MER

  5. 4. Some Nonlinear Diophantine Equations

    Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Författare :Alexander Koronen; [2017]
    Nyckelord :Diophantine Equations; Congruences; Euclidean Domains; Mathematics and Statistics;

    Sammanfattning : This thesis deals with some special types of Diophantine equations. Two classic cases of Fermat's equation are shown to have no nontrivial integer solutions, using two different approaches. The rest of the thesis deals with some instances of y^2=x^3+k, commonly known as Mordell's equation. In most cases, no integer solutions exist. LÄS MER

  7. 5. The kaon electromagnetic mass difference in AdS/QCD

    Master-uppsats, Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation; Lunds universitet/Institutionen för astronomi och teoretisk fysik - Genomgår omorganisation

    Författare :Jack Borthwick; [2016]
    Nyckelord :particle physics; AdS QCD; AdS CFT; kaon; electromagnetic mass difference; quantum field theory; Physics and Astronomy;

    Sammanfattning : In this thesis, a holographic model for quantum chromodynamics (QCD) is used to estimate the electromagnetic contribution to the kaon mass difference. The principal ideas of the model are inspired by the AdS/CFT correspondence, which is believed to be exact. LÄS MER