Sökning: "finite fields"

Visar resultat 1 - 5 av 89 uppsatser innehållade orden finite fields.

  1. 1. The Abel-Ruffini Theorem : The insolvability of the general quintic equation by radicals

    Kandidat-uppsats, Umeå universitet/Institutionen för matematik och matematisk statistik

    Författare :Axel Sjöblom; [2024]
    Nyckelord :;

    Sammanfattning : This thesis explores the topic of Galois theory at a relatively introductory level with the goal of proving the Abel Ruffini theorem. In the first part algebraic structures are considered: groups, ring, fields, etc. Following this, polynomial rings are introduced and the attention is then turned to finite field-extensions. LÄS MER

  3. 2. Characterization of Pressure and Velocity Fields in Acoustophoresis Using Particle Tracks

    Master-uppsats, KTH/Tillämpad fysik

    Författare :Jonathan Karlsson; [2023]
    Nyckelord :Acoustofluidics; Acoustophoresis; Ultrasonic Standing Waves; Acoustic fields; Particle tracking; Bio marking; Akustofluidik; Akustofores; Stående Ultraljuds Vågor; Akustiska fält; Particle tracking; Bio-markering;

    Sammanfattning : This master’s thesis explores the possibility of calculating and using the pressure andvelocity fields responsible for acoustophoresis. The goal was to use simulated data,similar to two-dimensional particle tracks from a specific microfluidic platform, toestimate the force potential and solve the partial differential equation (PDE) thatgoverns the relationship between the force potential and the acoustic fields. LÄS MER

  4. 3. Environmental Testing of Large Components

    Master-uppsats, KTH/Skolan för industriell teknik och management (ITM)

    Författare :Kenan Güler; Myriam Tenace; [2023]
    Nyckelord :battery packs; large electric components; random vibration; sine sweep; vibration testing.; batteripacken; random vibration; sinus sweep; stora elektriska komponenter; vibrationstestning.;

    Sammanfattning : As the industry is being reshaped concentrically around sustainability, the consumption of fossil fuels is targeted to decrease day by day. As a consequence of that, a righteous rise of electricity as energy source prevails in different branches of industry. LÄS MER

  5. 4. Impact of Residual Stress on the Warm Pre-Stressing Effect

    Master-uppsats, KTH/Hållfasthetslära

    Författare :Emil Danielsson; [2023]
    Nyckelord :Warm Pre-Stressing effect; Residual stress; Cleavage fracture; Ferritic Steel; Fracture mechanics; Varm förspänning; Restspänningar; Klyvbrott; Brottmekanik; Ferritiskt stål;

    Sammanfattning : Irradiation of a reactor pressure vessel (RPV) causes a shift of the ductile to brittle transition region towards higher temperature regions. In the event of a pressurized thermal shock (PTS), where the temperature drops drastically, the ductile to brittle transition region might be entered for irradiated ferritic steel. LÄS MER

  7. 5. Profinite groups

    Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Författare :Juan Moreno Poncela; [2023]
    Nyckelord :Profinite Groups; Infinite Galois Theory; Mathematics and Statistics;

    Sammanfattning : This thesis provides a comprehensive study of profinite groups, which are fascinating mathematical objects that have attracted significant interest in modern algebraic research. Profinite groups are infinite generalizations of finite groups and share many similarities with them. LÄS MER