Search for dissertations about: "continuous functions"

Showing result 1 - 5 of 321 swedish dissertations containing the words continuous functions.

  2. 1. Learning flow functions : architectures, universal approximation and applications to spiking systems

    Author : Miguel Aguiar; Karl H. Johansson; João Sousa; Maarten Schoukens; KTH; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Electrical Engineering; Elektro- och systemteknik;

    Abstract : Learning flow functions of continuous-time control systems is considered in this thesis. The flow function is the operator mapping initial states and control inputs to the state trajectories, and the problem is to find a suitable neural network architecture to learn this infinite-dimensional operator from measurements of state trajectories. READ MORE

  4. 2. Studies of the Boundary Behaviour of Functions Related to Partial Differential Equations and Several Complex Variables

    Author : Håkan Persson; Kaj Nyström; Maciej Klimek; Evgeny Poletsky; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; uniformly parabolic equations; non-linear parabolic equations; linear growth; Lipschitz domain; NTA-domain; Riesz measure; boundary behavior; boundary Harnack; degenerate parabolic; parabolic measure; plurisubharmonic functions; continuous boundary; hyperconvexity; bounded exhaustion function; Hölder for all exponents; log-lipschitz; boundary regularity; approximation; Mergelyan type approximation; plurisubharmonic functions on compacts; Jensen measures; monotone convergence; plurisubharmonic extension; plurisubharmonic boundary values; Mathematics; Matematik;

    Abstract : This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary behaviour of functions related to parabolic partial differential equations and several complex variables.Paper I concerns solutions to non-linear parabolic equations of linear growth. READ MORE

  5. 3. Continuous improvements of complex technical systems : aspects of stakeholder requirements and system functions

    Author : Peter Söderholm; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Kvalitetsteknik; Quality Technology and Management;

    Abstract : In today's society we are all strongly dependent on correct functions of technical systems. These systems tend to increase in both complexity and criticality, at the same time as they often have a rather long life. During this long life the stakeholders' requirements on the functions of the systems change. READ MORE

  6. 4. A Study of Smooth Functions and Differential Equations on Fractals

    Author : Anders Pelander; Anders Öberg; Svante Janson; Alexander Teplyaev; Tom Lindström; Uppsala universitet; []
    Keywords : Mathematical analysis; Analysis on fractals; p.c.f. fractals; Sierpinski gasket; Laplacian; differential equations on fractals; infinite dimensional i.f.s.; invariant measure; harmonic functions; smooth functions; derivatives; products of random matrices; Matematisk analys;

    Abstract : In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński gasket, a construction that he extended to post critically finite fractals. Since then, this field has evolved into a proper theory of analysis on fractals. The new results obtained in this thesis are all in the setting of Kigami's theory. READ MORE

  7. 5. Amoebas, Discriminants, and Hypergeometric Functions

    Author : Lisa Nilsson; Mikael Passare; Maurice Rojas; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; amoeba; coamoeba; discriminant; hypergeometric functions; Mellin transform; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematics; matematik;

    Abstract : This thesis consists of six chapters. In Chapter 1 we give some historical background to the topic of the thesis together with the fundamental definitions and results that the thesis is based on. In Chapter 2 we study Mellin transforms of rational functions and investigate their analytic continuations. READ MORE