Blar i utgivelsesdato Mastergradsoppgaver i matematikk

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    • On the effects of symmetry in the energy balance on a sphere 

      Samuelsberg, Aksel (Mastergradsoppgave; Master thesis, 2022-05-15)
      Simple climate models have gathered much attention as they have suggested the possibility of abrupt climate change associated with tipping points. Several simple climate models are found to have multiple equilibria, but in most cases similar equilibria do not appear or become too difficult to find in complex, fully coupled earth system models. In this thesis, we investigate a simple climate model, ...

    • Killing Tensors in Koutras-McIntosh Spacetimes 

      Steneker, Wijnand (Mastergradsoppgave; Master thesis, 2022-05-15)
      This thesis is concerned with the (non)existence of Killing Tensors in Koutras-McIntosh spacetimes. Killing tensors are of particular interest in general relativity, because these correspond to conserved quantities for the geodesic motion. For instance, Carter found such a conserved quantity in the Kerr metric which he used to explicitly integrate the geodesic equations. The equation defining ...

    • Wachpress Conjecture Restricted To Arrangements Of Three Conics 

      Schena, Alessandro (Mastergradsoppgave; Master thesis, 2022-05-15)
      This thesis discusses Wachpress conjecture restricted to arrangements of three conics. Wachpress conjectured the existence of a set of barycentric coordinates, namely Wachpress coordinates, on all polycons. Barycentric coordinates are very useful in many different fields as they can be used to define a finite element approximation scheme with linear precision. This thesis focuses on the conjecture ...

    • Effects of feedbacks for an energy balance model on a circle 

      Brynjulfsen, Synne (Mastergradsoppgave; Master thesis, 2022-05-31)
      A simple, North like, energy balance model on a circle is studied using boundary formulations derived with Green's functions for the stationary case, and a pseudo-spectral and finite difference solution for the time dependent case. The bifurcation software Auto-07p is also applied. The boundary formulation solution can be solved analytically in most cases, and is solved for bifurcation diagrams. ...

    • An Energy Balance Model on an Infinite Line 

      Elvevold, Ask (Master thesis; Mastergradsoppgave, 2022-06-01)
      The thesis is an expansion of the work Gerald R. North did in 1975 on an energy balance climate model. By considering a similar model on an infinite line, and allowing the heat diffusion coefficient to vary on the line, more complicated behaviour arose from the model. Much of Norths work was recreated on the infinite lines, but a lot of new discoveries were made. Among what was found were spontaneous ...

    • Murnaghan-Nakayama Rule The Explanation and Usage of the Algorithm 

      Sandal, Elias (Mastergradsoppgave; Master thesis, 2023-05-15)
      Character values are not the easiest to calculate, so it is important to find good algorithms that can help ease these calculations. In the 20th century, the two mathematicians Murnaghan and Nakayama developed a rule that calculates character values for partitions on some computations. This rule has later been given the name The Murnaghan-Nakayama rule, after these two authors. The Murnaghan-Nakayama ...

    • Codes, matroids and derived matroids 

      Knutsen, Teodor Dahl (Mastergradsoppgave; Master thesis, 2023-05-15)
      This thesis first introduces some theory on coding theory and matroids, and properties that are shared between these, and then we will investigate derived matroids. In 1979 Longyear made a construction of derived matroids for binary matroids, which illuminates "dependencies among dependencies". The construction was later generalized to representable matroids by Oxley and Wang, where the derived ...

    • On elementary particles as representations of the Poincaré group 

      Martínez Marín, Pau (Master thesis; Mastergradsoppgave, 2023-08-14)
      This thesis is concerned with the definition of elementary particles as irreducible projective unitary representations of the Poincaré group. During the contents of this work, we will introduce the relevant prerequisites and results. Concerning differential geometry, we will discuss smooth manifolds, Lie groups and Lie algebras. About quantum mechanics, we will introduce Hilbert spaces and the basic ...