| This paper presents a new evolutionary system, i.e., EP-Net, for evolving artiicial neural networks (ANNs). The evolutionary algorithm used in EPNet is based on Fogel's evolutionary programming (EP) 1], 2], 3]. Unlike most previous studies on evolving ANNs, this paper puts its emphasis on evolving ANN's behaviours. This is one of the primary reasons why EP is adopted. Five mutation operators ...

The theory of dynamic equations appears in the literature in 1988 in the Ph. D. of S. Hilger [18]. The aim of this theory consists in to study differential and difference equations under the same formulation. Thus, the concepts of ∆– derivative and ∆−integral have been defined. These two concepts cover both the classical derivative and the Riemann integral together with the forward and sum oper...

the combination of graphene (gr) and nickel oxide nanoparticles (nio nps) yields nanostructured electrochemical sensor formed a novel kind of structurally uniform and electrocatalytic activity material. in cyclic voltammetry (cv) studies, in the presence of ep, nio/gr composite modified electrode shows a significantly higher current response for ep oxidation. based on differential pulse voltamm...

Based on evolutionary computation concepts, the Evolutionary Planner/Navigator (EP/N) 4, 5] represents a new approach to path planning and navigation. Since its rst version, the development of the EP/N system has been an ever living \evolution" process itself: much new development and further research has been made 8, 7] to fullll the EP/N promise of being able to (1) accommodate diierent optim...

In this paper the family of elliptic curves over Q given by the equation Ep :Y2 = (X - p)3 + X3 + (X + p)3 where p is a prime number, is studied. Itis shown that the maximal rank of the elliptic curves is at most 3 and someconditions under which we have rank(Ep(Q)) = 0 or rank(Ep(Q)) = 1 orrank(Ep(Q))≥2 are given.

in this paper the family of elliptic curves over q given by the equation ep :y2 = (x - p)3 + x3 + (x + p)3 where p is a prime number, is studied. itis shown that the maximal rank of the elliptic curves is at most 3 and someconditions under which we have rank(ep(q)) = 0 or rank(ep(q)) = 1 orrank(ep(q))≥2 are given.

on utilizing the spectral representation of selfadjoint operators in hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in hilbert spaces via a taylor's type expansion are given.