6 research outputs found
Semiabelian varieties over separably closed fields, maximal divisible subgroups, and exact sequences
Given a separably closed field K of positive characteristic and finite degree
of imperfection we study the # functor which takes a semiabelian variety G over
K to the maximal divisible subgroup #G of G(K). We show that the # functor need
not preserve exact sequences. The main result is an example where #G does not
have "relative Morley rank", yielding a counterexample to a claim of
Hrushovski. The methods involve studying preservation of exact sequences by the
# functor as well as issues of descent. We also develop the notion of an
iterative D-structure on a group scheme over an iterative Hasse field, as well
as giving characteristic 0 versions of our results.Comment: 55 pages In this version 3, some corrections and clarifications are
made: in section 2.3 on relative Morley rank. Also in section 5.2 where more
explanation is given of D-structures in positive characteristic. In an
appendix we give a proof of the exactness of the functor taking a semiabelian
variety to its universal vectorial extensio
Lifetime extension of products and Circular Economy. Applications in key sectors for the EU: household appliances and traction batteries.
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Meaning versus Grammar
This volume investigates the complicated relationship between grammar, computation, and meaning in natural languages. It details conditions under which meaning-driven processing of natural language is feasible, discusses an operational and accessible implementation of the grammatical cycle for Dutch, and offers analyses of a number of further conjectures about constituency and entailment in natural language
SIS 2017. Statistics and Data Science: new challenges, new generations
The 2017 SIS Conference aims to highlight the crucial role of the Statistics in Data Science. In this new domain of ‘meaning’ extracted from the data, the increasing amount of produced and available data in databases, nowadays, has brought new challenges. That involves different fields of statistics, machine learning, information and computer science, optimization, pattern recognition. These afford together a considerable contribute in the analysis of ‘Big data’, open data, relational and complex data, structured and no-structured. The interest is to collect the contributes which provide from the different domains of Statistics, in the high dimensional data quality validation, sampling extraction, dimensional reduction, pattern selection, data modelling, testing hypotheses and confirming conclusions drawn from the data