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- Bernard Manderick, Mark K. de Weger, Piet Spiessens
- ICGA
- 1991

following result. THEOREM 1. The only (n,m)eZ with n^2 and m5=4 satisfying Â© = ( 7 ) a r e {n> m)=(2> 4)> (6> 6)> and (21> Our binomial diophantine equation represents an elliptic curve, since it can be rewritten as a quartic polynomial being a square. Indeed, on putting u = 2/i 1 and v = 2m 3, we see at once that Theorem 1 follows from the followingâ€¦ (More)

We show how the Gelfond-Baker theory and diophantine approximation techniques can be applied to solve explicitly the diophantine equation Câ€ž = wpTM< â– â– â– p"< (where {Gâ€ž}^_o is a binary recurrence sequence with positive discriminant), for arbitrary values of the parameters. We apply this to the equation x2 + k = p\' â– â– â– pf', which is a generalization ofâ€¦ (More)

The diophantine equation x3 _ 3xy2 _y3 = ?3no 17 n l9n2 is completely solved as follows. First, a large upper bound for the variables is obtained from the theory of linear forms in p-adic and real logarithms of algebraic numbers. Then this bound is reduced to a manageable size by p-adic and real computational diophantine approximation, based on theâ€¦ (More)

We show how the Gelfond-Baker theory and diophantine approximation techniques can be applied to solve explicitly the diophantine equation G, = wp" ... p', (where (G,, }I='o is a binary recurrence sequence with positive discriminant), for arbitrary values of the parameters. We apply this to the equation x2 + k = ... ps', which is a generalization of theâ€¦ (More)

- Henry M. Franken, Mark K. de Weger, D.A.C. Quartel, L. Ferreira Pires
- 1996

Currently, there is an enormous (research) interest in business process redesign (BPR). Several management-oriented approaches have been proposed showing how to make BPR work. However, detailed descriptions of empirical experience are few. Consistent engineering methodologies to aid and guide a BPR-practitioner are currently emerging. Often, theseâ€¦ (More)

- Mark K. de Weger, Chris A. Vissers
- Methods and Associated Tools for the Informationâ€¦
- 1994

In this paper we introduce and motivate the use of structural and quantitative perspectives on business process modelling and analysis. Structural perspectives are associated with certain model structuring styles. Quantitative perspectives are associated with certain process measures, in our case time-based measures. Furthermore, we relate these structuralâ€¦ (More)

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