Ali Ayad

Learn More
OBJECTIVE Microsurgical transsphenoidal surgery for pituitary tumors has been standard therapy for decades and was established by Harvey Cushing in the early twentieth century. Today, endoscopy is increasingly accepted in the therapy of pituitary lesions. In this retrospective study, we analysed the surgical technique and outcome of 50 patients with(More)
This paper presents an implementation of an extension of the ACSL specification language in the Frama-C tool in order to prove the correctness of floating-point C programs. This implementation is essentially based on the two Why models of floating-point arithmetic of [5]: the first model supposes that there is no overflow during the program execution and is(More)
This paper presents a lecture on existing algorithms for solving polynomial systems with their complexity analysis from our experiments on the subject. It is based on our studies of the complexity of solving para-metric polynomial systems. It is intended to be useful to two groups of people: those who wish to know what work has been done and those who would(More)
— The level of complexity and risks associated with software have been increasing in line with the growth of the software industry. Modern software development, with an emphasis on web and distributed development, presents specific challenges and risk areas to the software industry which need to be considered and managed. In this paper we survey a number of(More)
We present three algorithms in this paper: the first algorithm solves zero-dimensional parametric homogeneous polynomial systems with single exponential time in the number n of the unknowns, it decomposes the parameters space into a finite number of constructible sets and computes the finite number of solutions by parametric rational representations(More)
In this paper we deal with the solvability of the infinite system of differential equations x (t) = ∆(λ)x(t) + b with x(0) = a, where ∆(λ) is the triangle defined by the infinite matrix whose the nonzero entries are [∆(λ)] nn = λ n and [∆(λ)] n,n−1 = λ n−1 for all n ∈ N, for a given sequence λ and a, b are two given infinite column matrices. We use a new(More)