Sökning: "limit"

Visar resultat 1 - 5 av 2235 avhandlingar innehållade ordet limit.

  1. 1. A Differentiable Approach to Stochastic Differential Equations : the Smoluchowski Limit Revisited

    Författare :Haidar Al-Talibi; Astrid Hilbert; Yaozhong Hu; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; α-stable Lévy noise; Fractional Brownian motion; Girsanov theorem; Mean-field model; Nonlinear stochastic oscillator; Ornstein-Uhlenbeck process; Scaling limit; Second order Itô equation; Time change.; Matematik; Mathematics;

    Sammanfattning : In this thesis we generalize results by Smoluchowski [43], Chandrasekhar[6], Kramers, and Nelson [30]. Their aim is to construct Brownian motion as a limit of stochastic processes with differentiable sample paths by exploiting a scaling limit which is a particular type of averaging studied by Papanicolao [35]. LÄS MER

  2. 2. Matematik och bildning : berättelse, gräns, tystnad

    Författare :Lars Mouwitz; Bo Göranzon; Maria Hammarén; Pehr Sällström; KTH; []
    Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; mathematics; liberal education; notation; tacitness; understanding; narrative; modelling; metaphor; Bildung; Education; Pedagogik;

    Sammanfattning : Mathemathics and Liberal Education – narrative, limit, tacitness is a study of mathematics as a special human endeavour to grasp and understand the world. Mathematics is seen as a cultural activity related to other cultural phenomena as music, art and literature, but also as a very efficient modelling tool for science, economy and social organisation. LÄS MER

  3. 3. Obstacles to students' learning of the limit concept : A comparative study

    Författare :Abraham Kumsa Beyene; Kerstin Pettersson; Iben Christiansen; Juter Kristina; Stockholms universitet; []
    Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Obstacles; limit; calculus; case study; comparative study; upper secondary; Mathematics Education; matematikämnets didaktik;

    Sammanfattning : This thesis explores obstacles to students’ learning of the limit of a function as students learn the concept in post-compulsory schools in two culturally different contexts, namely Sweden and Ethiopia. The study investigates obstacles to students’ learning of the intuitive limit concept (the limit concept that is based on the intuitive definition) taught in upper secondary schools of these two contexts and characterises the nature of these obstacles. LÄS MER

  4. 4. Limit theorems for generalizations of GUE random matrices

    Författare :Martin Bender; Kurt Johansson; Arno Kuijlaars; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Random matrices; Central limit theorem; Dyson s Brownian motion; Interacting diffusion; Point process; Non-Hermitian; Scaling limit; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis consists of two papers devoted to the asymptotics of random matrix ensembles and measure valued stochastic processes which can be considered as generalizations of the Gaussian unitary ensemble (GUE) of Hermitian matrices H=A+A†, where the entries of A are independent identically distributed (iid) centered complex Gaussian random variables. In the first paper, a system of interacting diffusing particles on the real line is studied; special cases include the eigenvalue dynamics of matrix-valued Ornstein-Uhlenbeck processes (Dyson's Brownian motion). LÄS MER

  5. 5. Cooperative Variable Speed Limit Systems : Modeling and Evaluation using Microscopic Traffic Simulation

    Författare :Ellen Grumert; Jan Lundgren; Andreas Tapani; Wilco Burghout; Statens väg- och transportforskningsinstitut; []
    Nyckelord :Variable speed limit; Traffic; Micro; Simulation; Data exchange; Telecommunication; Vehicle; Transport infrastructure; Intelligent transport system; In vehicle information; 23 Road: ITS och traffic; 23 Road: ITS och traffic; 25 Road: Traffic theory; 25 Road: Traffic theory;

    Sammanfattning : During the last decades the road traffic has increased tremendously leading to congestion, safety issues and increased environmental impacts. As a result, many countries are continuously trying to find improvements and new solutions to solve these issues. LÄS MER