Sökning: "matematik topologi"

Visar resultat 6 - 10 av 19 uppsatser innehållade orden matematik topologi.

1. 6. An Exploration of Galois Theory with some Classical Results

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

   Författare :Olof Klingberg; [2020]
   Nyckelord :Galois theory; Algebra; Field theory; Mathematics and Statistics;

   Sammanfattning : Galois theory unites field theory and group theory to solve some field theoretical problems. The aim of this thesis is to provide a concise introduction to the topic, culminating in the proof of the insolubility of the general quintic equation by radicals. LÄS MER

3. 7. Improving the Cyber defence of an organisation based on IP Geolocation and security appliances

   M1-uppsats, Högskolan Väst/Avdelningen för Matematik, Data- och Lantmäteriteknik

   Författare :Aleksandar Opasinov; Sina Eftekhari; [2020]
   Nyckelord :Cybersecurity; Cisco ASA Firewall; IP Geolocation; Malware; Cyber Attacks; IPS; IT-säkerhet; Cisco ASA Brandvägg; IP Geolocation; Malware; Cyberattacker; IPS;

   Sammanfattning : As advancement and usage of data communication has increased exponentially on a global scale, with a devastating exposure to attacks and varying security threats to home offices as well as to large enterprises, there is always a need for enhanced network protection. The IT department of the company OneDefence, located in western Sweden, was chosen for the thesis and based on the stated information from the organisation, aims were set on how to improve their network defence capabilities. LÄS MER

4. 8. The classification theorem for closed surfaces

   Kandidat-uppsats, Lunds universitet/Matematik LTH

   Författare :Filip Jonsson Kling; [2019]
   Nyckelord :Topology; algebra; surfaces; fundamental group; simplex; homotopy; homology; Mathematics and Statistics;

   Sammanfattning : In this thesis we will study some basic concepts in algebraic topology such as the fundamental group, simplicial complexes and simplicial homology. These are then used together with a method called surgery to prove a complete topological classification of closed surfaces... LÄS MER

5. 9. A Topological analysis of an alternative to the PageRank algorithm in weighted directed graphs

   Master-uppsats, KTH/Matematik (Inst.)

   Författare :Natalia Andrea Londono Castrillon; [2019]
   Nyckelord :;

   Sammanfattning : In this thesis I use seven data-sets of weighted, directed graphs and present them as weighted, directed k-simplicial complexes. Then, I analyse the topological properties of each data-set in question using Flagser by \cite{flagser} and the cluster at the TU Darmstadt. I then proceed to run two versions of an alternative to the PageRank algorithm. LÄS MER

7. 10. Algebraisk Topologi

   Uppsats för yrkesexamina på grundnivå, Mittuniversitetet/Avdelningen för matematik och ämnesdidaktik

   Författare :Clas Henning; [2018]
   Nyckelord :matematik; topologi; algebraisk topologi;

   Sammanfattning : Inom den moderna matematiken har delområdet topologi fått ett allt större intresse och ett ökat användningsområde. Den här uppsatsen, som har karaktär av litteraturstudie, behandlar dels översiktligt grundläggande punktmängdstopologi (allmän topologi), men arbetets centrala del är dock inriktad på algebraisk topologi. LÄS MER