Essays about: "banach"

Showing result 1 - 5 of 11 essays containing the word banach.

  1. 1. Assistive Technology for Users with ADHD

    University essay from Malmö universitet/Institutionen för konst, kultur och kommunikation (K3)

    Author : Patryk Banach; [2023]
    Keywords : ADHD; Interaction design; HCI; Design; UX; UI;

    Abstract : This project explores how assistive technology can be useful for users with ADHD when it comes to their usage of smartphones. The design explores the importance of role and interaction aesthetic in regards to designing assistive technology. READ MORE

  3. 2. The Banach-Tarski paradox

    University essay from Göteborgs universitet/Institutionen för matematiska vetenskaper

    Author : Carl Elofsson; Adrian Nilsson; Nicolas Söderberg; Tim Westlund; [2022-07-04]
    Keywords : ;

    Abstract : In this thesis we present a proof of the Banach-Tarski paradox, a counterintuitive result that states that any ball in R3 can be cut into finitely many pieces and then be reassembled into two copies of the original ball. Since the result follows from the axiom of choice it is important for assessing its role as an axiom of mathematics. READ MORE

  4. 3. The Banach-Tarski Paradox : How I Learned to Stop Worrying and Love the Axiom of Choice

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

    Author : Mats Karl Anders Wahlberg; [2022]
    Keywords : Banach; Tarski; Banach-Tarski; Banach-Tarski paradox; Hausdorff; Hausdorff paradox; paradox; measure; measure theory; axiom of choice; Banach; Tarski; Banach-Tarski; Banach-Tarskis paradox; Hausdorff; Hausdorffs paradox; paradox; mått; måtteori; urvalsaxiomet; valaxiomet;

    Abstract : This thesis presents the strong and weak forms of the Banach-Tarski paradox based on the Hausdorff paradox. It provides modernized proofs of the paradoxes and necessary properties of equidecomposable and paradoxical sets. READ MORE

  5. 4. Embedded eigenvalues for asymptotically periodic ODE Systems

    University essay from Lunds universitet/Matematik LTH

    Author : Wilhelm Treschow; [2022]
    Keywords : embedded eigenvalue perturbation theory ODE theory; Mathematics and Statistics;

    Abstract : In this thesis we investigate the persistance of embedded eigenvalues under perturbations of a certain self-adjoint Schrödinger-type differential operator in L^2(\mathbb{R},\mathbb{R}^n), with an asymptotically periodic potential. The studied perturbations are small and belong to a certain Banach space with a specified decay rate, in particular, a weighted space of continuous matrix valued functions. READ MORE

  6. 5. Properties of the Ahlfors function

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

    Author : Anna-Mariya Otsetova; [2021]
    Keywords : Complex Analysis; Function Theory; Analytic capacity; Ahlfors function; Gelfand representation; Mathematics and Statistics;

    Abstract : Extremal problems in analysis have been studied for more than a hundred years. The so called Ahlfors function is the solution to one such problem. In this thesis, we shall study several properties of this function in a most general domain. READ MORE