Recent Submissions

  • 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 ...
  • 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 ...
  • Near-vector spaces determined by finite fields and their fibrations 

    Howell, Karin-Therese (Scientific and Technological Research Council of TurkeyScientific and Technological Research Council of Turkey, 2019)
    In this paper we study near-vector spaces constructed from copies of finite fields. We show that for these near-vector spaces regularity is equivalent to the quasikernel being the entire space. As a second focus, we study ...
  • The geometry of the moduli space of biquadratic field extensions 

    Cele, Mpendulo (Stellenbosch : Stellenbosch University, 2020-12)
    ENGLISH ABSTRACT: Mathematicians are always interested in understanding mathematical objects from different angles, This makes the task of classifying mathematical objects useful, as it permits one to study a mathematical ...
  • Theoretical study of variable viscosity nanofluids flow in microchannels 

    Monaledi, Ramotjaki (Stellenbosch : Stellenbosch University, 2020-12)
    ENGLISH ABSTRACT: The study of fluid flow and heat transfer through a microchannel is an important research area due to its wide applications in engineering and industrial processes. Some practical applications include ...
  • Investigating correlation among geometrical parameters of isotropic and anisotropic fibrous porous media 

    Mare, Esmari (Stellenbosch : Stellenbosch University, 2020-12)
    ENGLISH ABSTRACT: In this study four main geometrical models available in the literature that approximate the micro-structure of metal foams (i.e. the cubic unit cell model, the tetrakaidecahedron model, the dodecahedron ...
  • Formalizing auctions 

    Randrianomentsoa, Rojo Fanamperana (Stellenbosch : Stellenbosch University, 2020-12)
    ENGLISH ABSTRACT: Auctions have proven to be an efficient economical instrument over the years. Since the advent of internet-based commerce, some of their many forms have become important. To avoid problems related to ...
  • Defining and assessing the spectrum of tuberculosis (TB) disease: application to diagnosis and prognosis 

    Sulaimon, Tijani (Stellenbosch : Stellenbosch University, 2020-12)
    ENGLISH ABSTRACT: Although Tuberculosis (TB) has been a topic of investigation for centuries, a satisfactory method of identifying patients with clinically active TB is yet to be discovered. This has two important negative ...
  • On contributions to the theory of near-vector spaces and graphs thereof 

    Wessels, Lesley Karin (Stellenbosch : Stellenbosch University, 2020-12)
    ENGLISH ABSTRACT: In this thesis, our aim is to add to the existing body of work on near-vector spaces and their representation using graphs. We introduce two new graphs for constructions of nearvector spaces using finite ...
  • Nevanlinna Theory and Rational Values of Meromorphic Functions 

    Chalebgwa, Taboka Prince (Stellenbosch : University of Stellenbosch, 2019-04)
    ENGLISH ABSTRACT: In this thesis, we are concerned with the problem of counting algebraic points of bounded height and degree on graphs of certain transcendental holomorphic and meromorphic functions. Adopting a Nevanlinna ...
  • A simple ecological model captures the transmission pattern of COVID-19 outbreak in China 

    Zhang, Feng; Zhang, Jinmei; Cao, Menglan; Hui, Cang (BioMed Central, 2020)
    Background The rapid spread of the 2019 novel coronavirus disease (COVID-19), initially reported in the city of Wuhan in China, and quickly transmitted to the entire nation and beyond, has become an international ...
  • Near-vector spaces constructed from near domains 

    Howell, Karin-Therese; Sanon, Sogo Pierre (Miskolci Egyetemi Kiado, 2018)
    In this paper we prove some new results on near-vector spaces and near domains and give a first application of the nearring of quotients with respect to a multiplicative set, namely we construct a new class of near-vector ...
  • Why does not the leaf weight-area allometry of bamboos follow the 3/2-power law? 

    Lin, Shuyan; Shao, Lijuan; Hui, Cang; Song, Yu; Reddy, Gadi V. P.; Gielis, Johan; Li, Fang; Ding, Yulong; Wei, Qiang; Shi, Peijian (Frontiers Media, 2018)
    The principle of similarity (Thompson, 1917) states that the weight of an organism follows the 3/2-power law of its surface area and is proportional to its volume on the condition that the density is constant. However, the ...
  • Spatial segregation facilitates the coexistence of tree species in temperate forests 

    Shi, Peijian; Gao, Jie; Song, Zhaopeng; Liu, Yanhong; Hui, Cang (MDPI, 2018)
    Competition between plants has an important role during the natural succession of forest communities. Niche separation between plants can reduce such interspecific competition and enable multispecies plant to achieve ...

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