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Constraints and autonomy for creativity in extracurricular gamejams and curricular assessment (2018)
Journal Article
Grey, S., Parker, D., & Gordon, N. (2018). Constraints and autonomy for creativity in extracurricular gamejams and curricular assessment. Research in Learning Technology, 26, https://doi.org/10.25304/rlt.v26.2023

The engagement observed by the players of the games that they play is a desirable quality that has not gone unnoticed in the field of education, leading to concepts such as gamification of education, game-based learning and serious games for training... Read More

Connecting Undergraduate Students as Partners in Computer Science Teaching and Research (2017)
Journal Article
Gordon, N. A., & Brayshaw, M. (2017). Connecting Undergraduate Students as Partners in Computer Science Teaching and Research. New Directions in the Teaching of Physical Sciences, 12(12), https://doi.org/10.29311/ndtps.v0i12.598

Connecting undergraduate students as partners can lead to the enhancement of the undergraduate experience and allow students to see the different sides of the university. Such holistic perspectives may better inform academic career choices and postgr... Read More

Computational methods for finding long simple cycles in complex networks (2017)
Journal Article
Chalupa, D., Balaghan, P., Hawick, K. A., & Gordon, N. A. (2017). Computational methods for finding long simple cycles in complex networks. Knowledge-Based Systems, 125, 96-107. https://doi.org/10.1016/j.knosys.2017.03.022

© 2017 Elsevier B.V. Detection of long simple cycles in real-world complex networks finds many applications in layout algorithms, information flow modelling, as well as in bioinformatics. In this paper, we propose two computational methods for findin... Read More

E-services and the digital divide: The role of tertiary education in improving public engagement and trust in e-delivery of services (2010)
Book Chapter
Gordon, N. A. (2010). E-services and the digital divide: The role of tertiary education in improving public engagement and trust in e-delivery of services. Handbook of Research on E-Services in the Public Sector: E-Government Strategies and Advancements, 244-250. Information Science Reference. https://doi.org/10.4018/978-1-61520-789-3.ch019

This chapter considers aspects relating to the role of tertiary (i.e. higher) education in improving the engagement of the public with government provided E-services. Some of the issues considered include those of tackling the digital divide - which... Read More

The polynomial degree of the Grassmannian G1,n,2 (2006)
Journal Article
Shaw, R., & Gordon, N. A. (2006). The polynomial degree of the Grassmannian G1,n,2. Designs, codes, and cryptography, 39(2), 289-306. https://doi.org/10.1007/s10623-005-4524-4

For a subset ψ of PG(N, 2) a known result states that ψ has polynomial degree ≤ r, r ≤ N, if and only if ψ intersects every r-flat of PG(N, 2) in an odd number of points. Certain refinements of this result are considered, and are then applied in the... Read More

Numerical computation and analysis of the Titchmarsh-Weyl mα(λ)  function for some simple potentials (1999)
Journal Article
Witwit, M. R. M., Gordon, N. A., & Killingbeck, J. (1999). Numerical computation and analysis of the Titchmarsh-Weyl mα(λ)  function for some simple potentials. Journal of Computational and Applied Mathematics, 106(1), 131-143. https://doi.org/10.1016/S0377-0427%2899%2900061-8

This article is concerned with the Titchmarsh-Weyl mα(λ) function for the differential equation d2y/dx2+[-q(x)]y=0. The test potential q(x)=x2, for which the relevant mα(λ) functions are meromorphic, having simple poles at the points =4k+1 and =4k+3,... Read More

Calculating energy levels of a double-well potential in a two- dimensional system by expanding the potential function around its minimum (1997)
Journal Article
Witwit, M. R. M., & Gordon, N. A. (1997). Calculating energy levels of a double-well potential in a two- dimensional system by expanding the potential function around its minimum. Canadian Journal of Physics, 75(10), 705-714. https://doi.org/10.1139/p97-023

A determination of the eigenvalues for a three-dimensional system is made by expanding the potential functionV(x,y,z;Z2, λ,β)= ?Z2[x2+y2+z2]+λ {x4+y4+z4+2β[x2y2+x2z2+y2z2]}, around its minimum. In this paper the results of ext... Read More

Stable forward shooting for eigenvalues and expectation values (1995)
Journal Article
Killingbeck, J. P., Gordon, N. A., & Witwit, M. R. M. (1995). Stable forward shooting for eigenvalues and expectation values. Physics Letters A, 206(5-6), 279-282. https://doi.org/10.1016/0375-9601%2895%2900632-d

Internal differentiation techniques are used to produce a simple but highly accurate forwardsshootingmethod foreigenvaluesandexpectationvaluesof the Schrödinger equation. A multi-well potential is used as a test case.

The lines of PG(4, 2) are the points on a quintic in PG(9,2) (1994)
Journal Article
Shaw, R., & Gordon, N. A. (1994). The lines of PG(4, 2) are the points on a quintic in PG(9,2). Journal of Combinatorial Theory, Series A, 68(1), 226-231. https://doi.org/10.1016/0097-3165%2894%2990102-3

Let V denote a 5-dimensional vector space over a field, and let (bij) denote the 10 independent components of a bivectorb?Λ2Vrelative to a choice of product basis {eiΛej: 1 ≤i<j≤ 5} forΛ2V. It is well known thatb(≠ 0)... Read More