In this paper we deal with a particular class of rank two vector bundles (\emph{instanton} bundles) on the Fano threefold index one $F:=\mathbb{F}_1 \times \mathbb{P}^1$. We show that every instanton bundle $F$ can be described as cohomology monad whose terms are free sheaves. Furthermore prove existence for any admissible second Chern and construct nice component moduli space where they sit. F...

This paper presents a general framework for Shanks transformations of sequences of elements in a vector space. It is shown that the Minimal Polynomial Extrapolation (MPE), the Modified Minimal Polynomial Extrapolation (MMPE), the Reduced Rank Extrapolation (RRE), the Vector Epsilon Algorithm (VEA), the Topological Epsilon Algorithm (TEA), and Anderson Acceleration (AA), which are standard gener...

Boolean networks (BNs) are discrete-time dynamical systems with Boolean state-variables. BNs are recently attracting considerable interest as computational models for biological systems and, in particular, as models of gene regulating networks. Boolean control networks (BCNs) are Boolean networks with Boolean inputs. We consider the problem of steering a BCN from a given state to a desired stat...

We explore the performance of the Vector Space Model (VSM) in finding verb synonyms in Portuguese by analyzing the impact of three operating parameters: (i) the weighting function, (ii) the context window used for automatically extracting features, and (iii) the minimum number of vector features. We rely on distributional statistics taken from a large n-gram database to build feature vectors, u...

This paper deals with the question of completing a monotone increasing family of subsets Γ of a finite set Ω to obtain the linearly dependent subsets of a family of vectors of a vector space. Specifically, we demonstrate that such vectorial completions of the family of subsets Γ exist and, in addition, we show that the minimal vectorial completions of the family Γ provide a decomposition of the...