Hae
Aineistot 1-10 / 14
Bundle methods in nonsmooth DC optimization
(Turun yliopisto, 2018-06-21)
Due to the complexity of many practical applications, we encounter optimization problems with nonsmooth functions, that is, functions which are not continuously differentiable everywhere. Classical gradient-based methods ...
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 ...
On location, domination and information retrieval
(Turku Centre for Computer Science, 2020-09-25)
The thesis is divided into two main branches: identifying and locatingdominating codes, and information retrieval. The former topics are motivated by the aim to locate objects in sensor networks (or other similar applications) ...
Mechanistic population Models in Biology: Model Derivation and Application
(Turun yliopistoAnnales Universitatis Turkuensis AI 400, 2009-09-24)
In general, models of ecological systems can be broadly categorized as ’top-down’ or ’bottom-up’ models, based on the hierarchical level that the model processes are formulated on. The structure of a top-down, also known ...
Order-Theoretic Methods for Space-Time Coding: Symmetric and Asymmetric Designs
(Turku Centre for Computer Science, 2009-01-09)
On Short Exponential Sums Involving Fourier Coefficients of Holomorphic Cusp Forms
(Turku Centre for Computer Science, 2008-05-05)
By an exponential sum of the Fourier coefficients of a holomorphic cusp form we mean the sum which is formed by first taking the Fourier series of the said form,then cutting the beginning and the tail away and considering ...
Modern approaches to classical additive problems
(Turun yliopisto, 2022-05-05)
In this thesis, we study additive problems using the transference principle and the Hardy-Littlewood circle method. The problems studied are related to Waring's prolem and Goldbach's conjecture. Waring's problem states ...
Approximations to Landau’s problems on prime numbers
(Turun yliopisto, 2021-04-26)
In this thesis we study the distribution of prime numbers by considering approximations to fundamental open conjectures about them. The conjectures in question are the so-called Landau’s problems, named after Edmund Landau ...
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 ...
Regularity of minimizers and solutions with generalized Orlicz growth
(Turun yliopisto, 2020-11-21)
This thesis studies properties of minimizers of variational integrals and solutions of partial differential equations with generalized Orlicz growth (also known as Musielak– Orlicz growth). This is continuation of regularity ...