Sökning: "symmetric tensors"

Hittade 4 uppsatser innehållade orden symmetric tensors.

  1. 1. Estimating Diffusion Tensor Distributions With Neural Networks

    Master-uppsats, Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Författare :Rimaz Nismi; [2024]
    Nyckelord :Diffusion; Magnetic Resonance Imaging; MRI; Neural Networks; Optimal transport; Earth mover s distance; Sinkhorn distance;

    Sammanfattning : Magnetic Resonance Imaging (MRI) is an essential healthcare technology, with diffusion MRI being a specialized technique. Diffusion MRI exploits the inherent diffusion of water molecules within the human body to produce a high-resolution tissue image. An MRI image contains information about a 3D volume in space, composed of 3D units called voxels. LÄS MER

  3. 2. The Square-Root Isometry of Coupled Quadratic Spaces : On the relation between vielbein and metric formulations of spin-2 interactions

    Master-uppsats, Stockholms universitet/Fysikum; Stockholms universitet/Oskar Klein-centrum för kosmopartikelfysik (OKC)

    Författare :Kocic Mikica B.; [2014]
    Nyckelord :modified gravity; bigravity; bimetric theory; square-root isometry;

    Sammanfattning : Bimetric theory is an extension to general relativity that introduces a secondary symmetric rank-two tensor field. This secondary spin-2 field is also dynamical, and to avoid the Boulware-Deser ghost issue, the interaction between the two fields is obtained through a potential that involes the matrix square-root of the tensors. LÄS MER

  4. 3. Tensor Rank

    Uppsats för yrkesexamina på avancerad nivå, Matematik och tillämpad matematik; Tekniska högskolan

    Författare :Elias Erdtman; Carl Jönsson; [2012]
    Nyckelord :generic rank; symmetric tensor; tensor rank; tensors over finite fields; typical rank; generisk rang; symmetrisk tensor; tensorrang; tensorer över ändliga kroppar; typisk rang;

    Sammanfattning : This master's thesis addresses numerical methods of computing the typical ranks of tensors over the real numbers and explores some properties of tensors over finite fields. We present three numerical methods to compute typical tensor rank. LÄS MER

  5. 4. Classification of second order symmetric tensors in the Lorentz metric

    Kandidat-uppsats, Matematiska institutionen

    Författare :Hampus Hjelm Andersson; [2010]
    Nyckelord :Indefinite linear algebra; Lorentz metric; Minkowski space; symmetric tensors; Segre type; classification of canonical form;

    Sammanfattning : This bachelor thesis shows a way to classify second order symmetric tensors in the Lorentz metric. Some basic prerequisite about indefinite and definite algebra is introduced, such as the Jordan form, indefinite inner products, the Segre type, and the Minkowski space. LÄS MER