Computing and Mathematical Sciences Papers
This collection houses research from the Faculty of Computing and Mathematical Sciences at the University of Waikato.
All items in Research Commons are provided only to permit fair dealing for the purposes of research or private study. They are protected by copyright with all rights reserved unless otherwise indicated.
Recently Added

Probability calibration trees
(2017)Obtaining accurate and well calibrated probability estimates from classifiers is useful in many applications, for example, when minimising the expected cost of classifications. Existing methods of calibrating probability ... 
Nonlinear Effects in Threeminute Oscillations of the Solar Chromosphere. I. An Analytical Nonlinear Solution and Detection of the Second Harmonic
(The American Astronomical Society, 2017)The vertical propagation of nonlinear acoustic waves in an isothermal atmosphere is considered. A new analytical solution that describes a finiteamplitude wave of an arbitrary wavelength is obtained. Although the short ... 
Orthogonal trades in complete sets of MOLS
(The Electronic Journal of Combinatorics, 2017)Let Bₚ be the Latin square given by the addition table for the integers modulo an odd prime p (i.e. the Cayley table for (Zₚ, +)). Here we consider the properties of Latin trades in Bₚ which preserve orthogonality with one ... 
Emotion intensities in Tweets
(Association for Computational Linguistics, 2017)This paper examines the task of detecting intensity of emotion from text. We create the first datasets of tweets annotated for anger, fear, joy, and sadness intensities. We use a technique called best–worst scaling (BWS) ... 
Use of mobile apps for teaching and research  implications for digital literacy
(Springer, 2017)This paper reports on the results of an online survey about mobile application (app) use for academic purposes, i.e. teaching and research, by Higher Degree Research (HDR) students and academic staff at one of the eight ... 
Robin's inequality for 11free integers
(State University of West Georgia, Charles University, and DIMATIA, 2015)Let σ(n) denote the sum of divisors function, and let ϒ be Euler’s constant. We prove that if there is an n≥5041 for which σ(n)≥eϒn log log n, then n must be divisible by the eleventh power of some prime. 
Coping with design complexity: a conceptual framework for design alternatives and variants
(Springer, 2017)Interaction design processes are characterised by multidisciplinary teamwork and by an interplay of creative, situated and analytical thinking. Although design in the domain of humancomputer interaction has been widely ... 
Intermittency, nonlinear dynamics and dissipation in the solar wind and astrophysical plasmas
(The Royal Society, 2015)An overview is given of important properties of spatial and temporal intermittency, including evidence of its appearance in fluids, magnetofluids and plasmas, and its implications for understanding of heliospheric plasmas. ... 
A conjecture of De Koninck regarding particular square values of the sum of divisors function
(Elsevier Inc, 2014)We study integers n > 1 satisfying the relation σ(n) = γ(n)², where σ(n) and γ(n) are the sum of divisors and the product of distinct primes dividing n, respectively. If the prime dividing a solution n is congruent to 3 ... 
The effect of surface tension on free surface flow induced by a point sink in a fluid of finite depth
(Elsevier Ltd, 2017)Solutions are presented to the problem of steady, axisymmetric flow of an inviscid fluid into a point sink. The fluid is of finite depth and has a free surface. Two numerical schemes, a spectral method and an integral ... 
The role of acromioplasty when repairing rotator cuff tears – no difference in pain or functional outcome at 24 months in a cohort of 2,441 patients
(New Zealand Medical Association, 2017)AIM: The role acromioplasty with rotator cu repair remains unclear. This study aims to test the null hypothesis—that acromioplasty in conjunction with rotator cuff repair has no effect on improvement in pain or shoulder ... 
Modelling loanword success a sociolinguistic quantitative study of Māori loanwords in New Zealand English
(Mouton de Gruyter, 2017)Loanword use has dominated the literature on language contact and its salient nature continues to draw interest from linguists and nonlinguists. Traditionally, loanwords were investigated by means of raw frequencies, which ... 
The effect of irrigation on cadmium, uranium, and phosphorus contents in agricultural soils
(Elsevier, 2017)Cadmium (Cd) is a toxic metal which has accumulated in New Zealand agricultural soils due to phosphate fertilizer application. Understanding the contribution of plant uptake or leaching of Cd to observed Cd losses from ... 
Isotope Tracing of LongTerm Cadmium Fluxes in an Agricultural Soil
(American Chemical Society, 2017)Globally widespread phosphate fertilizer applications have resulted in longterm increases in the concentration of cadmium (Cd) in soils. The accumulation of this biotoxic, and bioaccumulative metal presents problems for ... 
Subcubic trades in Steiner triple systems
(Elsevier Science BV, 2017)We consider the problem of classifying trades in Steiner triple systems such that each block of the trade contains one of three fixed elements. We show that the fundamental building blocks for such trades are 3regular ... 
Critical sets of 2balanced Latin rectangles
(2016)An (m, n, 2)balanced Latin rectangle is an (Formula presented.) array on symbols 0 and 1 such that each symbol occurs n times in each row and m times in each column, with each cell containing either two 0’s, two 1’s or ... 
There are asymptotically the same number of Latin squares of each parity
(Cambridge University Press, 2016)A Latin square is reduced if its first row and column are in natural order. For Latin squares of a particular order n there are four possible different parities. We confirm a conjecture of Stones and Wanless by showing ... 
All for one and one for all: reconciling research and production values at the HathiTrust through userscripting
(IEEE, 2017)This article details a practical technique that safely reconciles the production stability and integrity of the HathiTrust Digital Library (HTDL) with the riskier and potentially disruptive experimental functionalities ... 
Taking a book off the shelf in a virtual library
(IEEE, 2017)We present the results of a smallscale study in which participants interacted with a physical book. Their book selection and book opening gestures provide design insights for the interface to a virtual reality library. 
Big brother is watching you  now in a doubleplusgood way
(IEEE, 2017)This paper reports on the progress made with our X Marks The Spot (XMTS) system. In XMTS we make a fundamental change to the compositing operation in a desktop manager, storing all textdisplay events and their related ...