A random vector X with representation X = ∑ j≥0 AjZj is considered. Here, (Zj) is a sequence of independent and identically distributed random vectors and (Aj) is a sequence of random matrices, ‘predictable’ with respect to the sequence (Zj). The distribution of Z1 is assumed to be multivariate regular varying. Moment conditions on the matrices (Aj) are determined under which the distribution o...

We show that the commutative closure of a star-free language is either star-free or not regular anymore. Actually, this property is shown to hold exactly for the closure with respect to a partial commutation corresponding to a transitive dependence relation. Moreover, the question whether the closure of a star-free language remains star-free is decidable precisely for transitive partial commuta...

Let φ : X → Y be a generically finite morphism. The purpose of this paper is to show how the OY -algebra structure on φ∗OX controls algebro-geometric aspects of X like the ring generation of graded rings associated to X and the very ampleness of line bundles on X . As the main application of this we prove some new results for certain regular surfaces X of general type. Precisely, we find the de...

Let P(Σ∗) be the semiring of languages, and consider its subset P(Σ). In this paper we define the language recognized by a weighted automaton over P(Σ) and a one-letter alphabet. Similarly, we introduce the notion of language recognition by linear recurrence equations with coefficients in P(Σ). As we will see, these two definitions coincide. We prove that the languages recognized by linear recu...

Capabilities of detecting temporal relations between two events can benefit many applications. Most of existing temporal relation classifiers were trained in a supervised manner. Instead, we explore the observation that regular event pairs show a consistent temporal relation despite of their various contexts, and these rich contexts can be used to train a contextual temporal relation classifier...

A Cartesian shrink wrapping technique has been investigated in this study to construct triangular surface meshes for three-dimensional dirty geometries. The geometries dealt in this paper are defined by faceted representation with dirtiness such as nonconforming edges, gaps and overlaps. The objective of the proposed technique is to deliver a way constructing triangular surface meshes for upstr...

This is an observational cross-sectional survey which included 707 individuals from a south Brazilian city (Joaçaba, in Santa Catarina State) aiming to know the alcohol user prevalence as well as the profile of the user. The results showed that 45.5% (322) of that population consume alcohol on regular basis and had used it at least once in the last month. The regular alcohol consumption occurs ...

In this paper, we investigate various kinds of extensions of twin-good rings. Moreover, we prove that every element of an abelian neat ring R is twin-good if and only if R has no factor ring isomorphic to‌ Z2  or Z3. The main result of [24] states some conditions that any right self-injective ring R is twin-good. We extend this result to any regular Baer ring R by proving that every elemen...

By a multi-pointed category we mean a category C equipped with a so called ideal of null morphisms, i.e. a class N of morphisms satisfying f ∈ N ∨ g ∈ N ⇒ fg ∈ N for any composable pair f, g of morphisms. Such categories are precisely the categories enriched in the category of pairs X = (X,N) where X is a set and N is a subset of X, whereas a pointed category has the same enrichment, but restri...