Essays about: "computer algebra system"

Found 5 essays containing the words computer algebra system.

  1. 1. 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

  3. 2. High-Performance Beamforming for Radar Technology : A Comparative Study of GPU Beamforming Algorithms

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Oscar Lindgren; [2022]
    Keywords : Accelerated signal processing software; Beamforming; Electronic warfare; Electromagnetic waves; Emitter identification; Radar technology; Accelererad signalbehandlingsmjukvara; Beamforming; Elektronisk krigsföring; Elektromagnetiska vågor; Sändaridentifikation; Radarteknologi;

    Abstract : Radar technology is widely used in today´s society, whether it is the localisation and identification of aircraft in air traffic control systems, ships in harbour management systems, or the weather forecast presented on the news. In military applications, such as in fighter jets or missile lock-on systems, the speed at which the radar processes incoming data is essential to ensure a successful outcome. READ MORE

  4. 3. Analytical Mechanics with Computer Algebra

    University essay from KTH/Mekanik

    Author : Filip Strand; Jakob Arnoldsson; [2016]
    Keywords : Lagrangian mechanics; Optimisation; Mechanics;

    Abstract : Classical mechanics is the branch of physics concerned with describing the motion of bodies. The subject is based on three simple axioms relating forces and movement. These axioms were first postulated by Newton in the 17th century and are known as his three laws of motion. Lagrangian mechanics is a restatement of the Newtonian formulation. READ MORE

  5. 4. Constructing a Computer Algebra System Capable of Generating Pedagogical Step-by-Step Solutions

    University essay from KTH/Skolan för datavetenskap och kommunikation (CSC)

    Author : Dmitrij Lioubartsev; [2016]
    Keywords : computer algebra system; step-by-step solutions; artificial intelligence; pedagogy; high school mathematics; datoralgebrasystem; steg-för-steg-lösningar; artificiell intelligens; pedagogi; gymnasiematematik;

    Abstract : For the problem of producing pedagogical step-by-step solutions to mathematical problems in education, standard methods and algorithms used in construction of computer algebra systems are often not suitable. A method of using rules to manipulate mathematical expressions in small steps is suggested and implemented. READ MORE

  6. 5. Exact Real Arithmetic with Automatic Error Estimates in a Computer Algebra System

    University essay from Matematiska institutionen

    Author : Patrik Andersson; [2001]
    Keywords : ;

    Abstract : .... READ MORE