Essays about: "Singularities"

Showing result 1 - 5 of 26 essays containing the word Singularities.

  1. 1. 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

  3. 2. Generalized Bühlmann-Straub credibility theory for correlated data

    University essay from Stockholms universitet/Matematiska institutionen

    Author : Mikael Andblom; [2023]
    Keywords : credibility theory; credibility estimator; credibility blending; Bühlmann-Straub; correlated data; uncertainty-based credibility; actuarial science; insurance mathematics;

    Abstract : In this thesis, we first go through classical results from the field of credibility theory. One of the most well-known models in the field is the Büuhlmann-Straub model. The model is relatively straightforward to apply in practice and is widely used. A major advantage of the model is its simplicity and intuitive dependency on its model parameters. READ MORE

  4. 3. Murphy's Law for Schemes

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Isak Sundelius; [2023]
    Keywords : algebraic geometry; matroids; Mnëv s theorem; Grassmannians;

    Abstract : This paper aims at presenting the necessary tools to prove that a scheme of finite type over Z exhibits the same singularities as those which occur on a Grassmann variety. First, basic theory regarding the combinatorial objects matroids is presented. READ MORE

  5. 4. Implementation and study of boundary integral operators related to PDE:s in the plane

    University essay from Lunds universitet/Matematik LTH

    Author : Erik Andersson; [2023]
    Keywords : Boundary integral equation; Singular integral operator; Product integration; Close evaluation; Numerical integration; MATLAB; Mathematics and Statistics;

    Abstract : The method of solving boundary value problems of partial differential equations numerically by first reformulating the problem as a boundary integral equation has many advantages over other methods, but also some unique difficulties. Some of these difficulties stem from problems in evaluating singular or nearly singular integral operators, and solving these difficulties is an active field of research. READ MORE

  6. 5. Comparative Analysis of the Inverse Kinematics of a 6-DOF Manipulator : A Comparative Study of Inverse Kinematics for the 6-DOF Saab Seaeye eM1-7 Manipulator with Non-Conventional Wrist Configuration

    University essay from Linköpings universitet/Reglerteknik

    Author : Anton Larsson; Oskar Grönlund; [2023]
    Keywords : ;

    Abstract : This report presents various methods for solving the inverse kinematic problem for a non-conventional robotic manipulator with 6 degrees of freedom and discusses their respective advantages and disadvantages. Numerical methods, such as gradient descent, Gauss-Newton and Levenberg-Marquardt as well as heuristic methods such as Cyclic Coordinate Descent and Forward and Backward Reaching Inverse Kinematics are discussed and presented, while the numerical methods are implemented and tested in simulation. READ MORE