Basis reduction for cryptogroups and orthogroups

UIDB/00297/2020 PTDC/MAT-PUR/31174/2017The goal of this note is to provide equivalent bases of identities for subvarieties of completely regular semigroups.authorsversioninpres

Social impact bond feasibility study youth employability: Faz-te Forward

Youth unemployment is one of the most pressing social issues in Portugal, often associated to a lack of skills. Faz-Te Forward (FFWD), a Portuguese employability programme, has demonstrated great potential for impact in solving this issue, especially amongst a neglected segment of the population – those belonging to “sandwich families”. The present thesis, integrated in the SIB Research Programme from the Social Investment Lab, evaluates the feasibility of this programme to be financed through a Social Impact Bond, an innovative outcomes-based financing model. From a data analysis undertaken to FFWD’s historical information, a business case for a SIB was developed

Discrete Formulation for the dynamics of rods deforming in space

We describe the main ingredients needed to create, from the smooth lagrangian density, a variational principle for discrete motions of a discrete rod, with corresponding conserved Noether currents. We describe all geometrical objects in terms of elements on the linear Atiyah bundle, using a reduced forward difference operator. We show how this introduces a discrete lagrangian density that models the discrete dynamics of a discrete rod. The presented tools are general enough to represent a discretization of any variational theory in principal bundles, and its simplicity allows to perform an iterative integration algorithm to compute the discrete rod evolution in time, starting from any predefined configurations of all discrete rod elements at initial times

Idempotent Varieties of Incidence Monoids and Bipartite Posets

090ENH-21The algebraic variety defined by the idempotents of an incidence monoid is investigated. Its irreducible components are determined. The intersection with an antichain submonoid is shown to be the union of these irreducible components. The antichain monoids of bipartite posets are shown to be orthodox semigroups. The Green’s relations are explicitly determined, and applications to conjugacy problems are described. In particular, it is shown that two elements in the antichain monoid are primarily conjugate in the monoid if and only if they belong to the same -class and their multiplication by an idempotent of the same -class gives conjugate elements in the group.epub_ahead_of_prin

Idempotent Varieties of Incidence Monoids and Bipartite Posets

The algebraic variety defined by the idempotents of an incidence monoid is investigated. Its irreducible components are determined. The intersection with an antichain submonoid is shown to be the union of these irreducible components. The antichain monoids of bipartite posets are shown to be orthodox semigroups. The Green's relations are explicitly determined, and applications to conjugacy problems are described. In particular, it is shown that two elements in the antichain monoid are primarily conjugate in the monoid if and only if they belong to the same $\mathcal{J}$-class and their multiplication by an idempotent of the same $\mathcal{J}$-class gives conjugate elements in the group.Comment: 29 page

An analysis of the positional distribution of DNA motifs in promoter regions and its biological relevance

BACKGROUND: Motif finding algorithms have developed in their ability to use computationally efficient methods to detect patterns in biological sequences. However the posterior classification of the output still suffers from some limitations, which makes it difficult to assess the biological significance of the motifs found. Previous work has highlighted the existence of positional bias of motifs in the DNA sequences, which might indicate not only that the pattern is important, but also provide hints of the positions where these patterns occur preferentially.RESULTS: We propose to integrate position uniformity tests and over-representation tests to improve the accuracy of the classification of motifs. Using artificial data, we have compared three different statistical tests (Chi-Square, Kolmogorov-Smirnov and a Chi-Square bootstrap) to assess whether a given motif occurs uniformly in the promoter region of a gene. Using the test that performed better in this dataset, we proceeded to study the positional distribution of several well known cis-regulatory elements, in the promoter sequences of different organisms (S. cerevisiae, H. sapiens, D. melanogaster, E. coli and several Dicotyledons plants). The results show that position conservation is relevant for the transcriptional machinery.CONCLUSION: We conclude that many biologically relevant motifs appear heterogeneously distributed in the promoter region of genes, and therefore, that non-uniformity is a good indicator of biological relevance and can be used to complement over-representation tests commonly used. In this article we present the results obtained for the S. cerevisiae data sets.publishersversionpublishe

Animal remains from 17th century Carnide, Lisbon, Portugal

Excavations undertaken in 2012 by the Centro de Arqueologia de Lisboa (CAL), in Largo do Coreto (Bandstand square) in Carnide (Lisbon, Portugal), uncovered over 7,000 faunal remains. These came from 60 underground pits previously used for storage, especially cereal, and subsequently, between 1550 and 1660 AD, filled with domestic rubbish. Most remains belonged to mammals and birds, with a significant number of molluscs. They are presumably food waste which therefore tell us something about the way of life of the inhabitants of 17th century Carnide. These people clearly depended primarily on domestic animals such as cattle, pig, sheep and goat as well as chicken and goose. Large wild animal remains were strikingly absent though there were some bones of small game like rabbit and partridge. For the rabbit it is unclear if it was the domestic or wild variety. A few remains of ferret and raptors point to their possible uses for hunting. A number of whole skeletons of cats and dogs, with no trace of butchery, were probably deposited as garbage.info:eu-repo/semantics/draf