All Outputs (474)

Calculations for double-well potentials of perturbed oscillator type in three-dimensional systems using the Hill-determinant approach (1998)
Journal Article
Witwit, M., & Gordon, N. (1998). Calculations for double-well potentials of perturbed oscillator type in three-dimensional systems using the Hill-determinant approach. Canadian Journal of Physics, 76(8), 609-620. https://doi.org/10.1139/cjp-76-8-609

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 extensive numerical calcula... Read More about Calculations for double-well potentials of perturbed oscillator type in three-dimensional systems using the Hill-determinant approach.

Linear sections of GL(4, 2) (1998)
Journal Article
Gordon, N. A., Lunardon, G., & Shaw, R. (1998). Linear sections of GL(4, 2). Bulletin of the Belgian Mathematical Society, Simon Stevin, 5(2-3), 287-311. https://doi.org/10.36045/bbms/1103409012

For V = V (n; q); a linear section of GL(V ) = GL(n; q) is a vector subspace S of the n 2 -dimensional vector space End(V ) which is contained in GL(V ) [ f0g: We pose the problem, for given (n; q); of classifying the di erent kinds of maximal linear... Read More about Linear sections of GL(4, 2).

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 extensive numerical calcula... Read More about Calculating energy levels of a double-well potential in a two- dimensional system by expanding the potential function around its minimum.

Stable receding horizon control based on recurrent networks (1997)
Journal Article
Kambhampati, C., Delgado, A., Mason, J., & Warwick, K. (1997). Stable receding horizon control based on recurrent networks. IEE Proceedings Control Theory and Applications, 144(3), 249-254. https://doi.org/10.1049/ip-cta%3A19970950

A cognitive approach to road recognition with novel feature indicators (1996)
Journal Article
Varley, D., Visvalingam, M., & Wright, C. (1996). A cognitive approach to road recognition with novel feature indicators. Computer Journal, 39(9), 751-756. https://doi.org/10.1093/comjnl/39.9.751

This paper outlines a simple strategy for recognition of prototypical cases of urban roads from their outline forms alone. Two new form indicators, namely exits and occupancy, are used together with average width to label regions as roads. They prove... Read More about A cognitive approach to road recognition with novel feature indicators.

The relative order and inverses of recurrent networks (1996)
Journal Article
Kambhampati, C., Manchanda, S., Delgado, A., Green, G., Warwick, K., & Tham, M. (1996). The relative order and inverses of recurrent networks. Automatica : the journal of IFAC, the International Federation of Automatic Control, 32(1), 117-123. https://doi.org/10.1016/0005-1098%2895%2900098-4

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.

Composition algebras and PG(m, 2) (1994)
Journal Article
Gordon, N. A., Jarvis, T. M., Maks, J. G., & Shaw, R. (1994). Composition algebras and PG(m, 2). Journal of Geometry, 51(1-2), 50-59. https://doi.org/10.1007/bf01226856

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

Line generalisation by repeated elimination of points (1993)
Journal Article
Visvalingam, M., & Whyatt, J. D. (1993). Line generalisation by repeated elimination of points. The Cartographic journal, 30(1), 46-51. https://doi.org/10.1179/000870493786962263

This paper presents a new approach to line generalisation which uses the concept of ‘effective area’ for progressive simplification of a line by point elimination. Two coastlines are used to compare the performance of this, with that of the widely us... Read More about Line generalisation by repeated elimination of points.

Cartographic Algorithms: Problems of Implementation and Evaluation and the Impact of Digitising Errors (1991)
Journal Article
Whyatt, J. D., & Visvalingam, M. (1991). Cartographic Algorithms: Problems of Implementation and Evaluation and the Impact of Digitising Errors. Computer graphics forum : journal of the European Association for Computer Graphics, 10(3), 225-235. https://doi.org/10.1111/1467-8659.1030225

Cartographic generalisation remains one of the outstanding challenges in digital cartography and Geographical Information Systems (GIS). It is generally assumed that computerisation will lead to the removal of spurious variability introduced by the s... Read More about Cartographic Algorithms: Problems of Implementation and Evaluation and the Impact of Digitising Errors.

Approaches to the optimizing control problem (1988)
Journal Article
Ellis, J. E., Kambhampati, C., Sheng, G., & Roberts, P. D. (1988). Approaches to the optimizing control problem. International Journal of Systems Science, 19(10), 1969-1985. https://doi.org/10.1080/00207728808964092

The selection of the steady-state controls which enable a system to operate in an optimum manner is the optimizing control problem. An examination of direct and adaptive model-based approaches to this problem is made. In the direct approach, system m... Read More about Approaches to the optimizing control problem.

The signed Chi-score measure for the classification and mapping of polychotomous data (1981)
Journal Article
Visvalingam, M. (1981). The signed Chi-score measure for the classification and mapping of polychotomous data. The Cartographic journal, 18(1), 32-43. https://doi.org/10.1179/caj.1981.18.1.32

Several polychotomous characteristics, when expressed in chi-score form, exhibit distributions in property space which deviate from the inherent assumptions of the more commonly used methods of cluster analysis. This paper suggests a novel approach t... Read More about The signed Chi-score measure for the classification and mapping of polychotomous data.

Indexing with coded deltas—a data compaction technique (1976)
Journal Article
Visvalingam, M. (1976). Indexing with coded deltas—a data compaction technique. Software: Practice and Experience, 6(3), 397-403. https://doi.org/10.1002/spe.4380060313

The paper describes the coded delta scheme, which is one of the methods used by the Census Research Unit, University of Durham, for compacting the 1971 U.K. census data. It evaluates the merits and limitations of the technique in relation to the char... Read More about Indexing with coded deltas—a data compaction technique.