Using time resolved 2-dimensional aperture pho-tometry we have established that the optical candidate for PSR 1509-58 does not pulse. Our pulsed upper limits (m V = 24.3 and m B = 25.7) put severe constraints on this being the optical counterpart. Furthermore the colours of the candidate star are consistent with a main sequence star at a distance of 2-4 kpc. The probability of a chance coincide...

This paper continues the development, begun in Part I, of the relationship between the simple genetic algorithm and the Walsh transform. The mixing scheme (comprised of crossover and mutation) is essentially "triangularized" when expressed in terms of the Walsh basis. This leads to a formulation of the inverse of the expected next generation operator. The fixed points of the mixing scheme are a...

The existence of positive periodic solutions of discrete nonautonomous Lotka-Volterra systems with delays is studied by applying the continuation theorem of coincidence degree theory.

We study the Fourier-Walsh spectrum {μ̂(S);S ⊂ {1, . . . , n}} of the Moebius function μ restricted to {0, 1, 2, . . . , 2 − 1} ≃ {0, 1} and prove that it is not captured by levels {μ̂(S)| |S| < n 2 3 −ε}. An application to correlation with monotone Bolean functions is given. 0. Introduction This paper may be seen as a companion of [B1] on the behavior of the Fourier-Walsh coefficients of the Moe...

A common coincidence point theorem for R-weakly commuting mappings is obtained. Our result extend several ones existing in literature. 2000 Mathematics Subject Classification. 54H25.

In this paper, we prove the existence of periodic solutions of a delayed periodic predator-prey system based on continuation theorem of coincidence degree.