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Now showing items 31-40 of 47

#### Studies on factoring polynomials over global fields

(Stellenbosch : University of Stellenbosch, 2007-12)

In this thesis, we surveyed the most important methods for factorization of polynomials over a global
field, focusing on their strengths and showing their most striking disadvantages. The algorithms we
have selected are ...

#### A numerical and analytical investigation into non-Hermitian Hamiltonians

(Stellenbosch : University of Stellenbosch, 2009-03)

In this thesis we aim to show that the Schr odinger equation, which is a
boundary eigenvalue problem, can have a discrete and real energy spectrum
(eigenvalues) even when the Hamiltonian is non-Hermitian. After a ...

#### Growth optimal portfolios and real world pricing

(Stellenbosch : Stellenbosch University, 2008-12)

In the Benchmark Approach to Finance, it has been shown that by taking the
Growth Optimal Portfolio as numéraire, a candidate for a pricing derivatives
formula under the real world probability can be given. This result ...

#### The Radon-Nikodym and the Krein-Milman properties in Banach spaces

(Stellenbosch : Stellenbosch University, 2006-12)

ENGLISH ABSTRACT: A Banach space X over the field of real numbers R. has the Radon-Nikodym property
(RNP) if for each finite positive measure space (Ω,∑,µ) and each X-valued, µ-continuous
measure v on ∑; with bounded ...

#### Rank one and finite rank elements of Banach algebras

(Stellenbosch : Stellenbosch University, 2007-12)

ENGLISH ABSTRACT: Let A be a unital complex Banach algebra, which we shall simply refer to as
a Banach algebra. An element u in A is single if xuy = 0, where x, y E A,
implies that xu = 0 or uy = 0. We say that u acts ...

#### Modelling drug resistance in malaria

(Stellenbosch : University of Stellenbosch, 2009-03)

Please refer to full text for abstract

#### Two-phase behaviour in a sequence of random variables

(Stellenbosch : Stellenbosch University, 2007-03)

ENGLISH ABSTRACT: Buying and selling in financial markets are driven by demand. The demand can be quantified
by the imbalance in the number of shares QB and QS transacted by buyers and
sellers respectively over a given ...

#### Fast generation of digitally reconstructed radiographs for use in 2D-3D image registration

(Stellenbosch : Stellenbosch University, 2008-12)

A novel implementation exploiting modern hardware is explored and found to be a significant improvement over current methods used. A 50 times performance increase in the computation time of DRRs is achieved over the ...

#### A categorical study of compactness via closure

(Stellenbosch : Stellenbosch University, 2009-03)

We have the familiar Kuratowski-Mr owka theorem in topology, where
compactness is characterised by a closure and a projection-map (X is compact
i p : X Y ! Y is a closed mapping, for any space Y , i.e. p(A) = p(A)
A ...

#### Rank matrix cascade algorithm, hermite interpolation

(Stellenbosch : University of Stellenbosch, 2007-12)

ENGLISH ABSTRACT: (Math symbols have changed) Wavelet and subdivision techniques have developed, over the last two decades, into
powerful mathematical tools, for example in signal analysis and geometric modelling.
Both ...