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Partial spreads in PG(4,2) and flats in PG(9,2) external to the Grassmannian G1,4,2 (2005)
Journal Article
Shaw, R., Gordon, N. A., & Maks, J. G. (2005). Partial spreads in PG(4,2) and flats in PG(9,2) external to the Grassmannian G1,4,2. Discrete Mathematics, 301(1), 137-146. https://doi.org/10.1016/j.disc.2004.11.023

We consider the following 'even hyperplane construction'of flats in the projective space PG(9, 2) = P(boolean AND(2) V(5, 2)) which are external to the Grassmannian G(1,4,2) of lines of PG(4,2). Let the Grassmann image in G(1,4,2) of a partial spread... Read More about Partial spreads in PG(4,2) and flats in PG(9,2) external to the Grassmannian G1,4,2.

Constructive implicit fitting (2005)
Journal Article
Li, Q., Griffiths, J. G., & Ward, J. (2006). Constructive implicit fitting. Computer aided geometric design, 23(1), 17-44. https://doi.org/10.1016/j.cagd.2005.04.011

In this paper, we present a constructive method for fitting both an explicit and an implicit curve or surface to a set of scattered points by using gate functions. With this technique, the data are first partitioned with geometric primitives into sma... Read More about Constructive implicit fitting.

The classification of flats in PG (9, 2) which are external to the grassmannian script G sign1,4,2 (2005)
Journal Article
Shaw, R., Maks, J. G., & Gordon, N. A. (2005). The classification of flats in PG (9, 2) which are external to the grassmannian script G sign1,4,2. Designs, codes, and cryptography, 34(2-3), 203-227. https://doi.org/10.1007/s10623-004-4855-6

Constructions are given of different kinds of flats in the projective space$$PG(9,2)={\mathbb P}(\wedge^{2}V(5,2))$$which are external to the Grassmannian$${\cal G}_{\bf 1,4,2}$$of lines ofPG(4,2). In particular it is shown that there exist precisely... Read More about The classification of flats in PG (9, 2) which are external to the grassmannian script G sign1,4,2.

Immersive visualization training of radiotherapy treatment (2005)
Journal Article
Phillips, R., Ward, J. W., & Beavis, A. W. (2005). Immersive visualization training of radiotherapy treatment. Studies in health technology and informatics, 111, 390 - 396

External radiation beam treatment of cancer tumours involves delivery of invisible radiation beams through the body where internal structures can not be seen. Beam targeting of patient anatomy has to very accurate to achieve the desired therapeutic r... Read More about Immersive visualization training of radiotherapy treatment.

Aspects of the linear groups GL(n,2) (2005)
Journal Article
Gordon, N. A., Jarvisy, T. M., & Shawy, R. (2005). Aspects of the linear groups GL(n,2). Journal of combinatorial mathematics and combinatorial computing, 53, 13 - 31

We provide tables which summarize various aspects of the Önite linear groups GL(n; 2); n < 7; in their action upon the vector space Vn = V (n; 2) and upon the associated projective space PG(n 1; 2): It is intended that the tabulated results should be... Read More about Aspects of the linear groups GL(n,2).

Experiences of embedding Information Technology into discipline based teaching (2005)
Journal Article
Gordon, N. (2005). Experiences of embedding Information Technology into discipline based teaching. Innovation in teaching and learning in information and computer sciences, 4(1), 1-9. https://doi.org/10.11120/ital.2005.04010002

In this paper we will reflect upon some of the experiences that the author had whilst supporting the embedding of Information Technology (I.T.) into a U.K. mathematics department’s undergraduate teaching. The paper includes some examples of the kinds... Read More about Experiences of embedding Information Technology into discipline based teaching.

SuperVise: Using grid tools to simplify visualization (2004)
Presentation / Conference Contribution
Osborne, J., & Wright, H. (2005, September). SuperVise: Using grid tools to simplify visualization. Presented at Parallel Processing and Applied Mathematics, 6th International Conference, PPAM 2005, Poznan, Poland

The visualization process is complicated enough for visualization experts but more so for domain specialists. Problems include managing the transfer of large datasets and choosing appropriate techniques. When we consider performing these tasks in a m... Read More about SuperVise: Using grid tools to simplify visualization.