Essays about: "Algebra och geometri"

Showing result 1 - 5 of 131 essays containing the words Algebra och geometri.

  1. 1. Estimating Diffusion Tensor Distributions With Neural Networks

    University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

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

    Abstract : 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. READ MORE

  3. 2. Distance Consistent Labellings and the Local List Number

    University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Author : Anders Henricsson; [2023]
    Keywords : distance-consistence; graph labelling; graph distance; avstånds-konsistens; grafmärkning; grafavstånd;

    Abstract : We study the local list number of graphs introduced by Lennerstad and Eriksson. A labelling of a graph on n vertices is a bijection from vertex set to the set {1,…, n}. Given such a labelling c a vertex u is distance consistent if for all vertices v and w |c(u)-c(v)|=|c(u)-c(w)|+1 implies d(u,w)≤ d(u,v). READ MORE

  4. 3. Braids and configuration spaces

    University essay from Uppsala universitet/Geometri och fysik

    Author : Andersson Rasmus; [2023]
    Keywords : braids; braid groups; configuration space; algebraic topology; group theory; fundamental group; covering spaces;

    Abstract : A configuration space is a space whose points represent the possible states of a given physical system. As such they appear naturally both in theoretical physics and technical applications. READ MORE

  5. 4. Generating Functions : Powerful Tools for Recurrence Relations. Hermite Polynomials Generating Function

    University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Author : Christoffer Rydén; [2023]
    Keywords : Ordinary power series generating function; Exponential generating function; Moment generating function; Hermite polynomials;

    Abstract : In this report we will plunge down in the fascinating world of the generating functions. Generating functions showcase the "power of power series", giving more depth to the word "power" in power series. We start off small to get a good understanding of the generating function and what it does. READ MORE

  6. 5. On Noetherian Rings

    University essay from Örebro universitet/Institutionen för naturvetenskap och teknik

    Author : Kevin Miramadi; [2023]
    Keywords : ;

    Abstract : In this thesis we study a special class of rings called Noetherian rings. Theserings satisfy certain finite conditions on their ideals and appear in manydifferent fields of algebra. READ MORE