Mathematics Projects, Dissertation, Thesis, Research Papers, Maths Examples, Working Papers, Resources and Information
Is it possible for a minimal model of anaerobic muscle contraction to describe measured data? There have been many models trying to describe separate parts of the human body with various results. In this thesis a model has been created to describe
This PhD thesis consists of a summary and seven papers, where various applications of auto-validated computations are studied.In the first paper we describe a rigorous method to determine unknown parameters in a system of ordinary differential equations from measured data with known
This thesis consists of a summary and three papers, concerning some aspects of representation theory for complex finite dimensional semi-simple Lie algebras with focus on the BGG-category O. Paper I is motivated by the many useful properties of functors on category O
Functional analysis is the branch of mathematics where vector spaces and operators on them are in focus. In linear algebra, the discussion is about finite dimensional vector spaces over any field of scalars. The functions are linear mappings which can be viewed
The Laplace equation and the related p-Laplace equation are closely associated with Sobolev spaces. During the last 15 years people have been exploring the possibility of solving partial differential equations in general metric spaces by generalizing the concept of Sobolev spaces. One
Association rules are one of the most popular methods of data mining. This technique allows to discover interesting dependences between objects. The thesis concerns on association rules for hierarchy of objects. As a multi–level structure is used DBLP database, which contains bibliographic
Digital geometry is the geometry of digital images. Compared to Euclid’s geometry, which has been studied for more than two thousand years, this field is very young. Efim Khalimsky’s topology on the integers, invented in the 1970s, is a digital counterpart of
This work is devoted to the equation where S is the graph of a Lipschitz function φ on RN with small Lipschitz constant, and dS is the Euclidian surface measure. The integral in the left-hand side is referred to as a simple
It is a commonly held belief that markets tend to both over-react and under-react to the arrival of good or bad news. Market confidence can drive up values of stocks, and market fear can lead to large negative dips in stock value.
This thesis consists of four papers and a summary. The common topic of the included papers are the pricing equations of path-dependent options. Various properties of barrier options and American options are studied, such as convexity of option prices, the size of