Essays about: "clifford algebra"

Found 5 essays containing the words clifford algebra.

  1. 1. 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

  3. 2. Clifford Algebra - A Unified Language for Geometric Operations

    University essay from KTH/Fysik

    Author : Leo Gordin; Henrik Taro Hansson; [2022]
    Keywords : clifford algebra; geometric algebra; algebra; tensors;

    Abstract : In this paper the Clifford Algebra is introduced and proposed as analternative to Gibbs' vector algebra as a unifying language for geometricoperations on vectors. Firstly, the algebra is constructed using a quotientof the tensor algebra and then its most important properties are proved,including how it enables division between vectors and how it is connected tothe exterior algebra. READ MORE

  4. 3. An Introduction to Orthogonal Geometry

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Emil Eriksson; [2021]
    Keywords : ;

    Abstract : In this thesis, we use algebraic methods to study geometry. We give an introduction to orthogonal geometry, and prove a connection to the Clifford algebra. .. READ MORE

  5. 4. Braid group statistics and exchange matrices of non-abelian anyons : with representations in Clifford algebra

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Erik Sönnerlind; Gustav Brage; [2018]
    Keywords : ;

    Abstract : When leaving classical physics and entering the realm of quantum physics, there are many new concepts being introduced. One of the most fundamental ideas in quantum mechanics is that particles no longer have exact known positions, but instead expected values and prob- abilities. READ MORE

  6. 5. Geometric algebra, conformal geometry and the common curves problem

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Elias Riedel Gårding; [2017]
    Keywords : ;

    Abstract : This bachelor’s thesis gives a thorough introduction to geometric algebra (GA), an overview of conformal geometric algebra (CGA) and an application to the processing of single particle data from cryo-electron microscopy (cryo-EM). The geometric algebra over the vector space Rp;q, i.e. READ MORE