Multi-Hamiltonian structure of kdv hierarchy by Drienfeld-Sokolov formalism

Conserved quantities and the multi-Hamiltonian structure for the integrable coupled kdv system which is associated with the isospectral flow [(∑ _i=0 ^N−1 ε _i λ ⁱ )∂² + ∑ _i=0 ^N−l V ₁λ ⁱ ]φ=λ ^N φ are deduced by the Drienfeld-Sokolov formalism.     

Degree of approximation of functions associated with Hardy-Littlewood series in the Hölder metric by Euler means

After establishing the Fourier character of the Hardy-Littlewood series the authors have studied the degree of approximation of functions associated with the same series in the Hölder metric using Euler means.     

The Use of Soft Systems Methodology in the Development of a Simulation of Out-patient Services at Watford General Hospital

The effective and efficient provision of out-patient services may be assisted by the appropriate use of discrete event simulation. Resource use must be carefully monitored and suitable control actions must be taken, if service level and quality are to be maintained, whilst keeping cost increases to a minimum. In itself, simulation provides no means by which system activities may be identified. The use of soft systems methodology as a tool to aid in activity identification for simulation modelling is being explored. The investigation focuses on the effects the participative nature of soft systems methodology has on the acceptability of a simulation model. This case study forms part of a research objective of developing a generic approach to link soft systems methodology and simulation. Its aim is to provide analysts and managers with a process which may assist in planning strategies for health care.     

X-ray structure and conformation of some (R,R)-N,N′-tetrasubsubstituted 1,2-diamines

The conformational arrangement of a series of (R,R)-N,N′-tetrasubstituted cyclohexyl-1,2-diamines have been examined by X-ray crystallography.     

A family of new trigonometric means

The object of the present paper is to introduce a new family of trigonometric means which are regular. Many interesting inclusion relations with well-known nontrigonometric means and lastly a Tauberian theorem have been established.     

A stable,rapidly converging conjugate gradient method for energy minimization

We apply Shanno's conjugate gradient algorithm to the problem of minimizing the potential energy function associated with molecular mechanical calculations. Shanno's algorithm is stable with respect to roundoff errors and inexact line searches and converges rapidly to a minimum. Equally important, this algorithm can improve the rate of convergence to a minimum by a factor of 5 relative to Fletcher-Reeves or Polak-Ribière minimizers when used within the molecular mechanics package AMBER. Comparable improvements are found for a limited number of simulations when the Polak-Ribière direction vector is incorporated into the Shanno algorithm.     

Frequency response of W-band pulsed impatts operating over extended ambient temperature

Frequency response of W-band Publsed IMPATT diodes operating over varying ambient temperature has been discussed in details. A method has been suggested to compensate the chirp fluctuation with the ambient temperature. Also discussed quantiatively the control of chirp bandwidth by bias current ramping.