Sökning: "Mathematical arguments"

Visar resultat 6 - 10 av 29 avhandlingar innehållade orden Mathematical arguments.

1. 6. GeoGebra, Enhancing Creative Mathematical Reasoning

   Författare :Jan Olsson; Carina Granberg; Johan Lithner; Kristina Juter; Högskolan Dalarna; []
   Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Linjära funktioner; dynamiska programvaror; problemlösning; resonemang; Utbildning och lärande; Education and Learning;

   Sammanfattning : The thesis consists of four articles and this summarizing part. All parts have focused on bringing some insights into how to design a didactical situation including dynamic software (GeoGebra) to support students’ mathematical problem solving and creative reasoning as means for learning. The four included articles are:I. Granberg, C. LÄS MER

3. 7. Four applications of stochastic processes : Contagious disease, credit risk, gambling and bond portfolios

   Författare :Patrik Andersson; Andreas Nordvall Lagerås; Håkan Andersson; Stewart N. Ethier; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Stochastic processes; Mathematical statistics; Matematisk statistik; Mathematical Statistics; matematisk statistik;

   Sammanfattning : This thesis consists of four papers on applications of stochastic processes. In Paper I we study an open population SIS (Susceptible - Infective - Susceptible) stochastic epidemic model from the time of introduction of the disease, through a possible outbreak and to extinction. The analysis uses coupling arguments and diffusion approximations. LÄS MER

4. 8. Mathematical analysis and approximation of a multiscale elliptic-parabolic system

   Författare :Omar Richardson; Adrian Muntean; Alfred Schmidt; Karlstads universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Two-scale modelling; two-scale Galerkin approximation; inverse Robin estimates; elliptic-parabolic system; a priori analysis; a posteriori error estimators; Matematik; Mathematics;

   Sammanfattning : We study a two-scale coupled system consisting of a macroscopic elliptic equation and a microscopic parabolic equation. This system models the interplay between a gas and liquid close to equilibrium within a porous medium with distributed microstructures. We use formal homogenization arguments to derive the target system. LÄS MER

5. 9. Exploring Probabilistic Reasoning : A Study of How Students Contextualise Compound Chance Encounters in Explorative Settings

   Författare :Per Nilsson; Inger Wistedt; Lennart Hellström; Dave Pratt; Växjö universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Probabilistic reasoning; randomness; compound chance encounters; contextualisation; differentiation; elaborative variation.; MATHEMATICS; MATEMATIK; Matematikdidaktik; Mathematical Education;

   Sammanfattning : This thesis aims at exploring how probabilistic reasoning arises in explorative learning situations that are random in nature. The focus is especially on what learners with scant experience of formal theories of probability do and can do when dealing with compound random situations in which they are offered opportunities to integrate different probabilistic lines of reasoning. LÄS MER

7. 10. Efficient Exploration and Robustness in Controlled Dynamical Systems

   Författare :Alessio Russo; Alexandre Proutiere; Henrik Sandberg; Marcello Restelli; Nikolai Matni; Jana Tumova; Mikael Asplund; KTH; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; reinforcement learning; efficient exploration; bandit algorithms; adversarial attacks; conformal prediction; data posioning; markov decision processes; attack detectability; optimal control; adaptive control; Electrical Engineering; Elektro- och systemteknik; Datalogi; Computer Science; Mathematical Statistics; Matematisk statistik;

   Sammanfattning : In this thesis, we explore two distinct topics. The first part of the thesis delves into efficient exploration in  multi-task bandit models and model-free exploration in large Markov decision processes (MDPs). LÄS MER