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Beliefs about mathematics learning difficulties: opportunities for learning - A Namibian study
(Turun yliopisto, 2023-10-26)
This dissertation used a phenomenological approach to explore beliefs regarding indicators of MLD that mathematics teachers, teacher educators, pre-service teachers, and high school students hold. In addition, the dissertation ...
Topics in analytic number theory and additive combinatorics
(Turun yliopisto, 2024-08-09)
This thesis comprises four articles in multiplicative and additive number theory, two subfields of analytic number theory, concerning e.g. the distribution of primes, multiplicative structures and additive structures.
In ...
On Problems of optimal timing under regime switching and poisson constraints
(Turun yliopisto, 2024-11-29)
The focus of this thesis is in analyzing optimal stopping (OSP) and impulse control problems (ICP) of linear diffusions under regime switching and Poisson constraints. Regime switching means that the problem’s parameters ...
Problems in Analytic and Algebraic Number Theory
(Turun yliopisto, 2023-06-16)
In this thesis we study questions on the distribution of primes and multiplicative orders modulo prime numbers. The problems are attacked using methods from analytic and algebraic number theory.
In the first article, ...
Extracting information from high-throughput gene expression data with pathway analysis and deconvolution
(Turun yliopisto, 2022-05-06)
Modern technologies allow for the collection of large biological datasets that can be utilised for diverse health-related applications. However, to extract useful information from such data, computational methods are needed. ...
On using distances to locate vertices: resolving sets and metric bases of graphs, two generalisations and their forced vertices
(Turun yliopisto, 2021-06-18)
A graph consists of vertices that are connected by edges. A resolving set of a graph is a subset of its vertices that gives a unique combination of distances to every vertex of the graph. We can use the distances we are ...
Generalized Orlicz spaces and partial differential equations with application to image restoration
(Turun yliopisto, 2022-11-11)
The research area of this thesis is nonlinear functional analysis, a branch of Mathematics which examines questions related to qualitative aspects of solution of a differential equation, such as existence, uniqueness, ...
On Poisson constrained control of linear diffusions
(Turun yliopisto, 2023-06-02)
The classical setting in optimal stopping and optimal control theory assumes that the agent controlling the system can operate continuously in time. In optimal stopping this setting is highly stylized for many applications, ...
Mathematical modelling and survival prediction in cancer
(Turun yliopisto, 2022-12-02)
Cancer is one of the leading causes of death, thus opening a vast need for extensive research and insights. The survival prospects, along with treatment benefits and costs (economical or health-related), can be predicted ...
On some modifications and applications of the post correspondence problem
(Turun yliopisto, 2022-03-04)
The Post Correspondence Problem was introduced by Emil Post in 1946. The problem considers pairs of lists of sequences of symbols, or words, where each word has its place on the list determined by its index. The Post ...