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    • Radial basis function interpolation 

      Du Toit, Wilna (Stellenbosch : Stellenbosch University, 2008-03)
      A popular method for interpolating multidimensional scattered data is using radial basis functions. In this thesis we present the basic theory of radial basis function interpolation and also regard the solvability and ...
    • The Radon-Nikodym and the Krein-Milman properties in Banach spaces 

      Nthebe, Johannes M. T. (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 ...
    • RAFT mediated polysaccharide copolymers 

      Fleet, Reda (Stellenbosch : University of Stellenbosch, 2006-12)
      Cellulose, one of the most abundant organic substances on earth, is a linear polymer of D-glucose units joined through 1,4-β-linkages. Cellulose is however not easily processed without chemical modification. A number of ...
    • RAFT-mediated synthesis of graft copolymers via a thiol-ene addition mechanism 

      Stegmann, Jacobus Christiaan (Stellenbosch : Stellenbosch University, 2007-12)
      ENGLISH ABSTRACT: The main objective of this project was the controlled synthesis of graft copolymers via a thiol-ene addition mechanism. The Reversible Addition-Fragmentation chain Transfer (RAFT) process was used in ...
    • Raising the flag on marine alien fouling species 

      Peters, Koebraa; Sink, Kerry; Robinson, Tamara B. (Regional Euro-Asian Biological Invasions Centre, 2017)
      Harbours are known introduction foci of marine alien species. They act as recipients of new introductions and as sources for regional spread. We report on subtidal surveys of fouling communities from 14 harbours along the ...
    • Random generation of finite automata over the domain of the regular languages 

      Raitt, Lesley Anne (Stellenbosch : Stellenbosch University, 2006-12)
      ENGLISH ABSTRACT: The random generation of finite automata over the domain of their graph structures is a wellknown problem. However, random generation of finite automata over the domain of the regular languages has not ...
    • Random walk hitting times in random trees 

      Oosthuizen, Joubert (Stellenbosch : Stellenbosch University, 2017-12)
      ENGLISH ABSTRACT : The hitting time Hxy, between two vertices x and y of a graph, is the average time that the standard simple random walk takes to get from x to y. We start by giving a recursive formula for higher moments ...
    • Random walks on graphs 

      Oosthuizen, Joubert (Stellenbosch : Stellenbosch University, 2014-04)
      ENGLISH ABSTRACT: We study random walks on nite graphs. The reader is introduced to general Markov chains before we move on more specifically to random walks on graphs. A random walk on a graph is just a Markov chain ...
    • Rank matrix cascade algorithm, hermite interpolation 

      Dongmo, Guy Blaise (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 ...
    • Rank one and finite rank elements of Banach algebras 

      Muzundu, Kelvin (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 ...
    • The rational design and synthesis of novel HIV non-nucleoside reverse transcriptase inhibitors 

      Muller, Ronel (Stellenbosch : Stellenbosch University, 2013-12)
      ENGLISH ABSTRACT: With a cure for HIV and AIDS still absent, non-nucleoside reverse transcriptase inhibitors (NNRTIs) play a major role in the current antiretroviral treatments used, which have shown to improve and prolong ...
    • Rattini (Rodentia, Murinae) species relationships and involvement as reservoirs for Scrub Typhus : a comparative molecular cytogenetic gene expression approach 

      Badenhorst, Daleen (Stellenbosch : Stellenbosch University, 2011-12)
      ENGLISH ABSTRACT: The Rattus sensu lato complex, which harbours the important biomedical model species Rattus norvegicus, represents a group of rodents that are of clinical, agricultural and epidemiological importance. ...
    • Raw starch conversion by Saccharomyces cerevisiae expressing Aspergillus tubingensis amylases 

      Viktor, Marko J.; Rose, Shaunita H.; Van Zyl, Willem H.; Viljoen-Bloom, Marinda (BioMed Central, 2013-11)
      Background: Starch is one of the most abundant organic polysaccharides available for the production of bio-ethanol as an alternative transport fuel. Cost-effective utilisation of starch requires consolidated bioprocessing ...
    • Rcrust : a tool for calculating path-dependent open system processes and application to melt loss 

      Mayne, Matthew Jason (Stellenbosch : Stellenbosch University, 2016-03)
      ENGLISH ABSTRACT: Earth‘s continental crust is stabilised by crustal differentiation that is driven by partial melting and melt loss: Magmas segregate from their residuum and migrate into the upper crust, leaving the ...
    • Reactions of gold(I) electrophiles with nucleophiles derived from group 6 Fischer-type carbene complexes 

      Esterhuysen, Matthias Wilhelm (Stellenbosch : University of Stellenbosch, 2003-04)
      ENGLISH ABSTRACT: This study comprises the preparation and characterisation of various novel organometallic species of gold(I) by employing a range of anionic group 6 metal Fischer-type carbene complexes and group 6 ...
    • Reactivity of metallacycles of palladium : experimental and computational studies 

      Van Niekerk, Daniel M. E. (Stellenbosch : Stellenbosch University, 2012-03)
      ENGLISH ABSTRACT: Please refer to full text for abstract
    • Real-time investigation of fouling phenomena in membrane filtrations by a non-invasive ultrasonic technique 

      Li, Jianxin (Stellenbosch : Stellenbosch University, 2002-12)
      ENGLISH ABSTRACT: Membrane fouling is universally accepted as one of the most critical problems limiting the wider application of membranes in liquid separations. The development and utilization of a suitable non-invasive ...
    • Real-time stereo reconstruction using hierarchical dynamic programming and LULU filtering 

      Singels, Francois (Stellenbosch : University of Stellenbosch, 2010-03)
      ENGLISH ABSTRACT: In this thesis we consider the essential topics relating to stereo-vision and the correspondence problem in general. The aim is to reconstruct a dense 3D scene from images captured by two spatially ...
    • Realising REDD in Africa : risk, feasibility and supporting policy 

      Knowles, Tony (Stellenbosch : Stellenbosch University, 2012-12)
      ENGLISH ABSTRACT: Responding appropriately to anthropogenic climate change presents a considerable challenge to humankind. Projected changes in climate are anticipated to affect the world's natural systems, human health ...
    • Realization of abstract convex geometries by point configurations 

      Adaricheva, Kira; Wild, Marcel (Elsevier, 2010-01)
      The Edelman-Jamison problem is to characterize those abstract convex geometries that are representable by a set of points in the plane. We show that some natural modification of the Edelman-Jamison problem is equivalent ...