Lie algebras with given properties of subalgebras and elements

Results about the following classes of finite-dimensional Lie algebras over a field of characteristic zero are presented: anisotropic (i.e., Lie algebras for which each adjoint operator is semisimple), regular (i.e., Lie algebras in which each nonzero element is regular in the sense of Bourbaki), minimal nonabelian (i.e., nonabelian Lie algebras all whose proper subalgebras are abelian), and algebras of depth 2 (i.e., Lie algebras all whose proper subalgebras are abelian or minimal nonabelian).Comment: 8 pages; v3: added proofs; fixed a list of algebras of depth 2 in Theorem 7; the statement of Theorem 5 is weakened, the former statement added as conjecture; to appear in Proceedings of the Conference "Algebra - Geometry - Mathematical Physics" (Mulhouse, 2011), Springer Proc. Math. Sta

Defining relations of a free modular lattice of rank 3

For a 3-generated free modular lattice we obtain a set of 11 defining relations and prove that this set is minimal. © 2013 Allerton Press, Inc

Роль метапредметных конструктов в формировании когнитивных компетенций студентов ВУЗа

Discussed is a psychological and pedagogical basis for metasubject structures application and given are examples of their employment to form higher school students’ cognitive competences.Дано психолого-педагогическое обоснование использованию метапредметных конструктов и приведены примеры их применения для формирования когнитивных компетенций у студентов вузов

Computer learning tests as the diagnostic method of development methacognitive competences

Предлагается использовать технологию обучающих тестов, дополненную рефлексивным компонентом, для диагностики у студентов вузов уровня развития метакогнитивных компетенций.It is proposed to use the technology of training tests, supplemented by reflexive component for the diagnosis of the level of development of metacognitive skills

Tricked by transparency: Security made in Europe

Transparency is generally recognised as an effective policy instrument to increase accountability and fight misconduct. To further our understanding of transparency impact in arms exports, it is thus useful to investigate the EU transparency framework, and analyse the extent member states are adhering to it. This research does it by examining contribution of France, Germany, and the UK to the Annual Reports in relation to their arms exports to the Middle East during 2010-2016. The results indicate that not all studied member states provide full information. Moreover, they intensified export practices despite the growth ofmilitary conflicts in the Middle East

an observational study

Objective This study aimed to investigate total and device-specific screen viewing (SV) and its determinants in children aged 2 years and below. Design Cross-sectional study conducted in February 2014. Setting Well-child clinics in Singapore national polyclinics. Participants Parents of children (Singapore citizens or permanent residents) aged 2 years and below were enrolled during routine clinic visits. Out of 794 eligible parent–child dyads, 725 (91.3%) provided informed consent and were included in the analysis. Main outcome measures Device-specific information on SV and determinants was ascertained using interviewer-administered survey questionnaires. The prevalence and duration of aggregate and device-specific SV were reported. Associations with potential determinants were investigated using multiple logistic regression analysis. A p value less than 0.05 was considered statistically significant. Results The prevalence of daily SV and SV ≥2 h/day constituted 53.5% and 16.3%, respectively. The majority of children aged 18–24 months (88.2%) engaged in daily SV. TVs and mobile devices were the most commonly used screen devices, followed by computers and video consoles. In multivariable analysis, younger child age, Chinese ethnicity and setting rules on time of SV were strongly and consistently associated with lower levels of any SV and SV ≥2 h/day. Parental knowledge of SV recommendations and less parental SV were additionally associated with lower levels of SV ≥2 h/day. The number of screen devices was not associated with children's SV. Conclusions In contrast to recommendations, SV prevalence in children aged less than 2 years is high and appears to increase steadily across age groups. TVs and mobile devices are most frequently used. Improving parental knowledge of SV recommendations, reducing parental SV and especially the implementation of strict rules on SV time could be successful strategies to reduce SV in young children

Area Computation of Polygons

Area computation has always been an important task for land surveyors. Until recently the hydrographic surveyor could utilize approximative methods, as results up to 0.1 km2 were sufficient for many purposes. Investigations resulted in computation algorithms, usable on the ellipsoid, with accuracies of the square metre magnitude