Recent Submissions

  • A wide class of Combinatorial matrices related with Reciprocal Pascal and Super Catalan matrices 

    Kilic, Emrah; Prodinger, Helmut (2019)
    Abstract. In this paper, we present a number of combinatorial matrices that are generalizations or variants of the super Catalan matrix and the reciprocal Pascal matrix. We present explicit formul for LUdecompositions of ...
  • An analysis of security protocols for lightweight systems 

    Kamkuemah, Martha Ndeyapeuomagano (Stellenbosch : Stellenbosch University, 2022-04)
    ENGLISH SUMMARY: Security is hard to maintain in distributed systems especially for communicating agents restricted to lightweight computations, as in the Internet of Things, which struggle to implement strong cryptographic ...
  • Image Classification with Graph Neural Networks 

    Neocosmos, Kibidi (Stellenbosch : Stellenbosch University, 2022-04)
    ENGLISH SUMMARY: Convolutional neural networks (CNNs) are a prominent and ubiquitous part of machine learning. They have successfully achieved consistent state-of-the-art performance in areas such as computer vision. ...
  • Investigations on the Wigner derivative and on an integral formula for the quantum 6j symbols 

    Ranaivomanana, Valimbavaka Hosana (Stellenbosch : Stellenbosch University, 2022-04)
    ENGLISH SUMMARY: wo separate studies are done in this thesis: 1. TheWigner derivative is the partial derivative of dihedral angle with respect to opposite edge length in a tetrahedron, all other edge lengths remaining fixed. ...
  • Algebraic points in tame expansions of fields 

    Harrison-Migochi, Andrew (Stellenbosch : Stellenbosch University, 2021-12)
    ENGLISH ABSTRACT: We investigate the behaviour of algebraic points in several expansions of the real, complex and p-adic fields. We build off the work of Eleftheriou, Günaydin and Hieronymi in [17] and [18] to prove a ...
  • A deep learning approach to landmark detection in tsetse fly wing images 

    Geldenhuys, Dylan Shane (Stellenbosch : Stellenbosch University, 2021-12)
    ENGLISH ABSTRACT: Single-wing images were captured from 14,354 pairs of field-collected tsetse wings of species Glossina pallidipes and G. m. morsitans, and analysed together with relevant biological recordings. To answer ...
  • Prejudice, privilege, and power : conflicts and cooperation between recognizable groups 

    Bingham, Jeremy; Landi, Pietro; Hui, Cang (AIMS Press, 2019)
    The problem of cooperation remains one of the fundamental questions in the fields of biology, sociology, and economics. The emergence and maintenance of cooperation are naturally affected by group dynamics, since individuals ...
  • The definable (p,q)-theorem for dense pairs of certain geometric structures 

    Rakotonarivo, Tsinjo Odilon (Stellenbosch : Stellenbosch University, 2021-12)
    ENGLISH ABSTRACT: The definable (p, q)-conjecture is a model-theoretic version of a (p, q)- theorem in combinatorics, which was expressed in the form of a question by A. Chernikov and P. Simon in 2015. Researchers have ...
  • A complete study of the ramification for any separable cubic global function field 

    Marques, Sophie; Ward, Jacob (Springer, 2019)
    We explicitly describe the ramified places in any separable cubic extension of a cubic global function field in terms of a unique given parameter. This is all done using the uniqueness of the purely cubic closure, which ...
  • Large deviations of random walks on random graphs 

    Coghi, Francesco; Morand, Jules; Touchette, Hugo (American Physical Society, 2019-02-26)
    We study the rare fluctuations or large deviations of time-integrated functionals or observables of an unbiased random walk evolving on Erdös-Rényi random graphs, and construct a modified, biased random walk that explains ...
  • Mixed convective flow of a visco elastic fluid between two porous parellel plates 

    Kumar, D. Satish; Murthy, C. H. V. Ramana; Anusha, S.; Makinde, Oluwole D. (Blue Eyes Intelligence Engineering and Sciences Publication, 2019)
    A diagnostic answer for the problem of sincerely grew loose convective circulation between two vertical parallel plates has been inspected in this paper. The trademark highlights of various parameters were talked about in ...
  • On the centroid of increasing trees 

    Durant, Kevin; Wagner, Stephan (Episciences.org, 2019)
    A centroid node in a tree is a node for which the sum of the distances to all other nodes attains its minimum, or equivalently a node with the property that none of its branches contains more than half of the other nodes. ...
  • Quadratic Pade approximation : numerical aspects and applications 

    Fasondini, M.; Hale, N.; Spoerer, R.; Weideman, J. A. C. (Steklov Mathematical Institute, 2019)
    Pad´e approximation is a useful tool for extracting singularity information from a power series. A linear Pad´e approximant is a rational function and can provide estimates of pole and zero locations in the complex plane. ...
  • On the inducibility of small trees 

    Dossou-Olory, Audace A. V.; Wagner, Stephan (Episciences, 2019)
    The quantity that captures the asymptotic value of the maximum number of appearances of a given topological tree (a rooted tree with no vertices of outdegree 1) S with k leaves in an arbitrary tree with sufficiently large ...
  • Towards a nuanced view of diagnostic test properties: an application to transfusion transmitted risk estimation 

    Bingham, Jeremy (Stellenbosch : Stellenbosch University, 2021-03)
    ENGLISH ABSTRACT: Laboratory screening (rather than pathogen inactivation) is likely to remain, for the foreseeable future, the primary means of ensuring the safety of blood products from transfusion transmissible viruses ...
  • An axiomatic approach to the ordinal number system 

    Van der Berg, Ineke (Stellenbosch : Stellenbosch University, 2021-03)
    ENGLISH ABSTRACT: Ordinal numbers are transfinite generalisations of natural numbers, and are usually defined and studied concretely as special types of sets. In this thesis we explore an abstract approach to developing ...
  • Exponential damping : the key to successful containment of COVID-19 

    Zhang, Feng; Zhang, Jinmei; Cao, Menglan; Zhang, Yong; Hui, Cang (Frontiers Media, 2021-01-08)
    Due to its excessive capacity for human-to-human transmission, the 2019 coronavirus disease (COVID-19) has now been declared a global public health emergency. Here we propose a simple model based on exponential infectious ...
  • Impact of COVID-19 pandemic on mobility in ten countries and associated perceived risk for all transport modes 

    Barbieri, Diego Maria; Lou, Baowen; Passavanti, Marco; Hui, Cang; Hoff, Inge; Lessa, Daniela Antunes; Sikka, Gaurav; Chang, Kevin; Gupta, Akshay; Fang, Kevin (PLOS, 2021-02-01)
    The restrictive measures implemented in response to the COVID-19 pandemic have triggered sudden massive changes to travel behaviors of people all around the world. This study examines the individual mobility patterns for ...
  • Scaling relationships between leaf shape and area of 12 rosaceae species 

    Yu, Xiaojing; Hui, Cang; Sandhu, Hardev S.; Lin, Zhiyi; Shi, Peijian (MDPI, 2019)
    Leaf surface area (A) and leaf shape have been demonstrated to be closely correlated with photosynthetic rates. The scaling relationship between leaf biomass (both dry weight and fresh weight) and A has been widely studied. ...
  • Effects of salt stress on the leaf shape and scaling of pyrus betulifolia bunge 

    Yu, Xiaojing; Shi, Peijian; Hui, Cang; Miao, Lifei; Liu, Changlai; Zhang, Qiuyue; Feng, Chaonian (MDPI, 2019)
    Leaf shape can reflect the survival and development of plants in different environments. In particular, leaf area, showing a scaling relationship with other leaf-shape indices, has been used to evaluate the extent of salt ...

View more