Skip to main content

Research Repository

Advanced Search

Outputs (833)

A modelling and networking architecture for distributed virtual environments with multiple servers. (1999)
Thesis
Chang, J. A modelling and networking architecture for distributed virtual environments with multiple servers. (Thesis). University of Hull. https://hull-repository.worktribe.com/output/4215463

Virtual Environments (VEs) attempt to give people the illusion of immersion that they are in a computer generated world. VEs allow people to actively participate in a synthetic environment. They range from a single-person running on a single computer... Read More about A modelling and networking architecture for distributed virtual environments with multiple servers..

Displacement encoder using sine micro-window grating (1999)
Journal Article
Wang, C., Ma, X., Zhang, G., & Guo, S. (1999). Displacement encoder using sine micro-window grating. Acta Optica Sinica, 19(8), 1153-1157

A novel displacement encoder, employing a sine micro-window grating and featuring high quality signals free from harmonic errors, was developed. The sine micro-window grating is a special component composed of arrays of micro-elements with a sine win... Read More about Displacement encoder using sine micro-window grating.

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 about Numerical computation and analysis of the Titchmarsh-Weyl mα(λ)  function for some simple potentials.

Point transfer matrices for the Schrödinger equation: The algebraic theory (1999)
Journal Article
Gordon, N. A., & Pearson, D. B. (1999). Point transfer matrices for the Schrödinger equation: The algebraic theory. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 129(4), 717-732. https://doi.org/10.1017/S030821050001310X

This paper deals with the theory of point interactions for the one-dimensional Schrödinger equation. The familiar example of the δ5-potential V(x) = gδ(x - x 0 ), for which the transfer matrix across the singularity (point transfer matrix) is given b... Read More about Point transfer matrices for the Schrödinger equation: The algebraic theory.

Deconstruction of fractals and its implications for cartographic education (1999)
Journal Article
Visvalingam, M. (1999). Deconstruction of fractals and its implications for cartographic education. The Cartographic journal, 36(1), 15-29. https://doi.org/10.1179/caj.1999.36.1.15

The research reported here was designed for two reasons: firstly, to involve anyone with an interest in cartographic visualization to participate in eliciting cartographic knowledge and to provide them with the opportunity to contribute their practic... Read More about Deconstruction of fractals and its implications for cartographic education.

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 linearization using multilayer neural networks (1996)
Presentation / Conference Contribution
Delgado, A., Kambhampati, C., & Warwick, K. (1996, September). Stable linearization using multilayer neural networks. Presented at UKACC International Conference on Control. Control '96, Exeter, UK

The main limitation of linearization theory that prevents its application in practical problems is the need for an exact knowledge of the plant. This requirement is eliminated and it is shown that a multilayer network can synthesise the state feedbac... Read More about Stable linearization using multilayer neural networks.