Sökning: "bijective"

Visar resultat 1 - 5 av 8 uppsatser innehållade ordet bijective.

  1. 1. Friezes, Triangulations, and Trees

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

    Författare :Yijia Zeng; [2023]
    Nyckelord :Frieze pattern; polygon triangulation; binary tree; Catalan numbers; Mathematics and Statistics;

    Sammanfattning : In this thesis, we focus on these three classes of objects: frieze patterns, polygon triangulations, and planar binary rooted trees. After proving that these objects are in pairwise bijective correspondence with each other, we introduce Catalan numbers through Dyck paths and prove that all these objects are Catalan objects. LÄS MER

  3. 2. Electrodynamic field at spatial infinity

    Master-uppsats, KTH/Fysik

    Författare :Jakob Myhrman; [2022]
    Nyckelord :Spatial infinity; Conformal rescaling; Minkowski space; Penrose Diagram; Einstein universe; Newman-Penrose formalism; Sigma-process; Resolution of singularities; Maxwell s equations; Cylinder at spatial infinity; Rumslig oändlighet; Konform omskalning; Minkowski rummet; Penrose Diagram; Einsteins universum; Newman-Penrose formalismen; Sigma-processen; Singularitetupplösning; Maxwells ekvationer; Cylindern vid rumslig oändlighet;

    Sammanfattning : The treatment of spatial infinity is one of the remaining major open problems in the theory of isolated self-gravitating systems. Especially when one wants to model scattering of gravitational radiation in spacetime. In this thesis the conformal theory is used to study simple electromagnetic fields, close to spatial infinity. LÄS MER

  4. 3. Fluxes from the reduction of a gauge theory on a squashed three-sphere

    Master-uppsats, Uppsala universitet/Teoretisk fysik

    Författare :Jim Lundin; [2021]
    Nyckelord :Supersymmetric Localization; Dimensional Reduction; Hopf fibration; Fluxes;

    Sammanfattning : We present the supersymmetry and localization of an N=2 theory on S3b along with that of an N=(2,2) theory on S2. Performing the dimensional reduction of the theory on S3b produces a theory on S2 with no flux-sectors. LÄS MER

  5. 4. The Information Bottleneck : Connections to Other Problems, Learning and Exploration of the IB Curve

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

    Författare :Borja Rodriguez Galvez; [2019]
    Nyckelord :;

    Sammanfattning : In this thesis we study the information bottleneck (IB) method. This is an informationtheoretic framework which addresses the question of what are the relevant factors of arandom variable X to explain another statistically dependent random variable Y . Thesefactors are embedded into a bottleneck variable T obeying the Markov condition Y $X $ T. LÄS MER

  7. 5. Linking the dynamics of genetic algorithms to the encoding of information

    Kandidat-uppsats, Lunds universitet/Beräkningsbiologi och biologisk fysik - Genomgår omorganisation; Lunds universitet/Institutionen för astronomi och teoretisk fysik - Genomgår omorganisation

    Författare :Henrik Åhl; [2016]
    Nyckelord :Genetic algorithms; evolution; dynamics; encoding; encoding of information; genetic; string; binary; gray code; consensus; algorithm; optimisation; genotype; phenotype; genome; evolutionary algorithms; fitness; search space; Physics and Astronomy;

    Sammanfattning : Genetic algorithms are complex constructs often used as heuristic search methods in contexts ranging from combinatorial optimisation to in silico evolution. They draw inspiration from the principles of biological evolution by utilizing the concepts of mutation, reproduction and selection in order to improve a population of solutions. LÄS MER