Sökning: "integers"

Visar resultat 1 - 5 av 44 uppsatser innehållade ordet integers.

  1. 1. A Comparative Study on Efficiency and Scalability of Integer and String Datasets in cuDF and pandas

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

    Författare :Anton Schulz; Emil Sjölander; [2023]
    Nyckelord :;

    Sammanfattning : This thesis presents a comparative analysis of cuDF and pandas, two Python data processing libraries, with a focus on performance, limitations, and scalability when handling integer and string datasets. The study aims to assess the efficiency and suitability of cuDF as a potential alternative to pandas in scenarios where high-performance data processing is required. LÄS MER

  3. 2. The Elliptic Curve Method : A Modern Approach to Integer Factorization

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

    Författare :Felix Cao; [2023]
    Nyckelord :Pollard s p-1 method; Factorization; Elliptic curves; Lentra s; Elliptic curve method;

    Sammanfattning : In this paper, we present a study of elliptic curves, focusing on theirunderlying mathematical concepts, properties and applications in numbertheory. We begin by introducing elliptic curves and their unique features,discussing their algebraic structure, and exploring their group law, pro-viding examples and geometric interpretations. LÄS MER

  4. 3. A Prime or Not a Prime? That is the Question

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

    Författare :Vetle Tjora; [2022]
    Nyckelord :primality testing; Lucas--Lehmer; number theory; cubic reciprocity; Mersenne primes; Mathematics and Statistics;

    Sammanfattning : In this survey, we shall prove the Lucas–Lehmer primality test used to find the Mersenne primes. A proof of the Law of Cubic Reciprocity will also be presented, which will be applied in the proof of a generalisation of the Lucas–Lehmer primality test... LÄS MER

  5. 4. The Eisenstein integers and cubic reciprocity

    Kandidat-uppsats, Uppsala universitet/Algebra, logik och representationsteori

    Författare :Simon Löfgren; [2022]
    Nyckelord :;

    Sammanfattning : .... LÄS MER

  7. 5. Cyclotomic Fields and Fermat's Last Theorem

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

    Författare :Samuel Runyeon Odeberg; [2021]
    Nyckelord :pure mathematics; number theory; algebra; algebraic number theory; cyclotomic fields; cyclotomic rings; cycltomic integers; Fermat s last theorem; Mathematics and Statistics;

    Sammanfattning : Number theory is in a sense among the oldest disciplines of mathematics. A running theme is that many number theoretic problems are very easy to state and understand. However, actually solving these problems often requires much work or some very clever trick. LÄS MER