Essays about: "lth"

Showing result 1 - 5 of 334 essays containing the word lth.

  1. 1. On Levi Decompositions in Finite and Infinite Dimensional Lie Algebras

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Hannes Nilsson; [2021]
    Keywords : Lie algebra; Levi s theorem; Cohomology; Virasoro algebra; Mathematics and Statistics;

    Abstract : In this bachelor thesis we introduce Lie algebras, and use Lie algebra cohomology to prove Levi's theorem about splitting of finite dimensional Lie algebras. We then construct the Virasoro algebra, compute its low dimensional cohomology spaces, and use this to demonstrate why Levi's theorem does not hold in the infinite dimensional case... READ MORE

  2. 2. A deep learning approach for predicting outcomes of triple-negative breast cancer

    University essay from Lunds universitet/Matematik LTH

    Author : Arvid Larsson; [2021]
    Keywords : Mathematics and Statistics;

    Abstract : Breast cancer is the most common cancer in women. Triple-negative breast cancer affects 10-20% of breast cancer patients and is associated with an especially bad prognosis. Today, tissue slides are assessed manually by a clinician to set a prognosis. However, the prediction of outcomes could possibly be improved using machine learning. READ MORE

  3. 3. An almost algebraic proof of the fundamental theorem of algebra

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : David Kamali; [2021]
    Keywords : algebrans fundamentalsats; Sylows satser; kroppteori; Galoisteori; fundamental theorem of algebra; group theory; Sylow theorems; Galois Theory; field theory; Mathematics and Statistics;

    Abstract : By the results of the Sylow theorems, algebraic extension theorems and Galois theory, we shall prove the fundamental theorem of algebra, which states that the set of complex numbers is algebraically closed. This process of abstraction will provide an almost algebraic proof of the theorem and thereby supply us with a tool in solving many questions within the field of mathematics. READ MORE

  4. 4. Minimal Deformation Methods for Loop Closure

    University essay from Lunds universitet/Matematik LTH

    Author : Erik Tegler; [2021]
    Keywords : Mathematics and Statistics;

    Abstract : This thesis proposes a method for how to find duplicated 3D points in a single Structure from Motion point cloud. Together with related articles, this forms a possible solution to the loop closure problem. The proposed method works by first selecting candidate pairs of 3D points by comparing BRIEF descriptors of all points. READ MORE

  5. 5. Detecting Offside Position using 3D Reconstruction

    University essay from Lunds universitet/Matematik LTH

    Author : Axel Delbom; [2020]
    Keywords : Deep learning; football; offside detection; Mathematics and Statistics;

    Abstract : With the increased number of technical innovations in soccer and the progress in the field of AI, this thesis investigates the possibilities to detect if a player is in offside position using deep learning and video recordings from soccer games. A method to create a 3D reconstruction of the players in the scene is proposed and evaluated. READ MORE