Like programs, programming languages are not only mathematical objects but also software engineering artifacts. Describing the semantics of real-world languages can help bring lan...
In this paper we prove three theorems about the theory of Borel sets in models of ZF without any form of the axiom of choice. We prove that if B ⊆ 2ω is a Gδσ-set then either...
A simple mathematical model of laser drilling is proposed. Assuming axi-symmetry of the process around the axis of the laser beam, a one-dimensional formulation is obtained after ...
In this paper, a discrete version of a reaction-diffusion equation, also known as coupled map lattice (CML), which corresponds to the Turing model of morphogenesis is studied. It i...
This work surveys essential properties of the so-called copositive matrices, the study of which is spread over more than fifty-five years. Special emphasis is given to variational ...