• Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394] 

      Hanche-Olsen, Harald; Holden, Helge (Journal article, 2016)
      We show how to improve on Theorem 10 in Hanche-Olsen and Holden (2010), describing when subsets in W1,p(Rn) are totally bounded subsets of Lq(Rn) for p
    • Advanced Filtering in Intuitive Robot Programming 

      Hauan, Tore Martin Madsø (Master thesis, 2006)
      This text deals with the problem of reducing multi-dimensional data in the context of programming an industrial robot. Different ways to treat the positional and orientational data are discussed, and algorithms for each ...
    • Advanced Filtering in Intuitive Robot Programming 

      Hauan, Tore Martin Madsø (Master thesis, 2006)
      This text deals with the problem of reducing multi-dimensional data in the context of programming an industrial robot. Different ways to treat the positional and orientational data are discussed, and algorithms for each ...
    • An improvement of the Kolmogorov-Riesz compactness theorem 

      Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia (Journal article; Peer reviewed, 2018)
      The purpose of this short note is to provide a new and very short proof of a result by Sudakov (1957), offering an important improvement of the classical result by Kolmogorov–Riesz on compact subsets of Lebesgue spaces.
    • Exploring Instruction Cache Analysis - On Arm 

      Svedenborg, Stian Valentin (Master thesis, 2014)
      This thesis explores the challenges of implementing an instruction cache side-channel attack on an ARM platform. The information leakage through the instruction cache is formally discussed using information theoretic ...
    • On angular measures in axiomatic Euclidean planar geometry 

      Grötschel, Martin; Hanche-Olsen, Harald; Holden, Helge; Krystek, Michael P. (Peer reviewed; Journal article, 2022)
      We address the issue of angular measure, which is a contested issue for the International System of Units (SI).We provide a mathematically rigorous and axiomatic presentation of angular measure that leads to the traditional ...
    • Theory and Applications of Conservation Laws 

      Dwomfuor, Patrick (Master thesis, 2014)
      This thesis examines the properties, applications and usefulness of the different conservation lawsin everyday life from our homes to the industry.We investigate some mathematical derivations of linear and non-linear partial ...
    • Waves in Excitable Media 

      Theisen, Bjørn Bjørge (Master thesis, 2012)
      This thesis is dedicated to the study of Barkley's equation, a stiff diffusion-reaction equation describing waves in excitable media. Several numerical solution methods will be derived and studied, range from the simple ...