Essays about: "Algebra"

Showing result 6 - 10 of 279 essays containing the word Algebra.

  1. 6. Wavelength-dependent limb darkeningin the analysis oftransit spectroscopy of exoplanets

    University essay from Uppsala universitet/Institutionen för fysik och astronomi

    Author : Alberto García Ribas; [2023]
    Keywords : ;

    Abstract : Limb darkening, an optical effect characteristic of stars, where the limb (edge) seemsto be darker than the centre of the stellar body; plays an important role in our under-standing of exoplanetary transits, as it is fundamental for developing light curve modelsthat can help to undercover extrasolar companions. To recover atmospheric featuresfrom exoplanets, a principal component analysis method is typically used. READ MORE

  3. 7. A review of the Kaczmarz method

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

    Author : Carl Lokrantz; [2023]
    Keywords : Kaczmarz method; Least squares; Image reconstruction; Iterative method; Linear system of equations; Projection; Numerical Linear Algebra; Block Kaczmarz; Greedy Kaczmarz; Randomized Kaczmarz; Mathematics and Statistics;

    Abstract : The Kaczmarz method is an iterative method for solving linear systems of equations. The Kaczmarz method has been around since it was developed by Kaczmarz 1937. The main idea behind the original Kaczmarz method is to orthogonally project the previous x_k onto the solution space given by a row of the system. READ MORE

  4. 8. Math Visualizations in VR

    University essay from Högskolan i Halmstad/Akademin för informationsteknologi

    Author : Abraham Al-bashki; Ahmed Oogle; [2023]
    Keywords : ;

    Abstract : Visualization of linear algebra with virtual reality (VR) can be helpful for math teachers. A study has shown more engagement, focus, and active learning through immersion and interactivity, supplementing opportunities for visualizing abstract concepts. READ MORE

  5. 9. A geometric approach to calculating the limit set of eigenvalues for banded Toeplitz matrices

    University essay from Lunds universitet/Matematik LTH

    Author : Teodor Bucht; [2023]
    Keywords : Toeplitz matrices; Banded Toeplitz matrices; Limit set; Eigenvalues; Mathematics and Statistics;

    Abstract : This thesis is about the limiting eigenvalue distribution of n × n Toeplitz matrices as n → ∞. The two classical questions we want to answer are: what is the limit set of the eigenvalues, and what is the limiting distribution of the eigenvalues. Our main result is a new approach to calculate the limit set Λ(b) for a Laurent polynomial b, i.e. READ MORE

  6. 10. On Geometric Number

    University essay from Uppsala universitet/Analys och partiella differentialekvationer

    Author : Petter Gunnarsson; [2023]
    Keywords : clifford algebra; hypercomplex number; octonion;

    Abstract : This is an overview of geometric algebras in dimensions 0-4 from the perspective of the concept of number itself. It is developed from a historic viewpoint and investigates and develops a pedagogic approach emphasizing the geometric aspects of the subject. READ MORE