Search results for "Theory"
showing 10 items of 24627 documents
Lie Algebras Generated by Extremal Elements
1999
We study Lie algebras generated by extremal elements (i.e., elements spanning inner ideals of L) over a field of characteristic distinct from 2. We prove that any Lie algebra generated by a finite number of extremal elements is finite dimensional. The minimal number of extremal generators for the Lie algebras of type An, Bn (n>2), Cn (n>1), Dn (n>3), En (n=6,7,8), F4 and G2 are shown to be n+1, n+1, 2n, n, 5, 5, and 4 in the respective cases. These results are related to group theoretic ones for the corresponding Chevalley groups.
Introduction to Gestural Similarity in Music. An Application of Category Theory to the Orchestra
2019
Mathematics, and more generally computational sciences, intervene in several aspects of music. Mathematics describes the acoustics of the sounds giving formal tools to physics, and the matter of music itself in terms of compositional structures and strategies. Mathematics can also be applied to the entire making of music, from the score to the performance, connecting compositional structures to acoustical reality of sounds. Moreover, the precise concept of gesture has a decisive role in understanding musical performance. In this paper, we apply some concepts of category theory to compare gestures of orchestral musicians, and to investigate the relationship between orchestra and conductor, a…
Beatlestudies 3, Proceedings of the Beatles 2000 Conference
2001
This book contains a selection of papers presented at the BEATLES 2000 Conference, held at the University of Jyvaskyla, Finland, from 15 to 18 June, 2000. The conference was organized by the Department of Music at the University of Jyvaskyla, the BEATLES 2000 research project, and Confennia Ltd.
La Sala Parpalló en el Centre Cultural La Beneficència (1995-1999)
2020
During the period 1995-1999, the Sala Parpalló was located in the Beneficència Cultural Center of Valencia, sharing the place with the spaces of the Museum of Prehistory, the Museum of Ethnology and the IVEI. In the investigation it exposed a technical file for each of the 57 self-produced exhibitions carried out in the period and a selection of the studies that accompanied them: the files are displayed chronologically according to the procedures used. The work concludes with the analysis of the objectives that were mainly all the programming: 1) Sala Parpalló as an integrated project; 2) Studies and exhibitions around the Valencian Cultural Imaginary; 3) Analysis of the postmodern crisis; …
State-dependent foraging: lactating voles adjust their foraging behavior according to the presence of a potential nest predator and season
2015
Parental care often produces a trade-off between meeting nutritional demands of offspring and the duties of offspring protection, especially in altricial species. Parents have to leave their young unattended for foraging trips, during which nestlings are exposed to predators. We investigated how rodent mothers of altricial young respond to risk of nest predation in their foraging decisions. We studied foraging behavior of lactating bank voles (Myodes glareolus) exposed to a nest predator, the common shrew (Sorex araneus). We conducted the experiment in summer (high resource provisioning for both species) and autumn (less food available) in 12 replicates with fully crossed factors “shrew pre…
Revisiting agricultural modernisation: Interconnected farming practices driving rural development at the farm level
2019
Abstract Rural development related to agriculture can roughly be divided into two trajectories: 1) agri-industrial development or modernisation, and 2) multifunctional or even post-productivist rural development. The role of these trajectories varies in different rural settings, with different emphases on agricultural production and its conduct. At the farm level, the trajectories evolve from existing farming practices and their connections, which enable or disable different kinds of development. However, the connections through which changes in agricultural production practices contribute to different rural development trajectories deserve further scrutiny. This is addressed with the help …
On presentations for mapping class groups of orientable surfaces via Poincaré's Polyhedron theorem and graphs of groups
2021
The mapping class group of an orientable surface with one boundary component, S, is isomorphic to a subgroup of the automorphism group of the fundamental group of S. We call these subgroups algebraic mapping class groups. An algebraic mapping class group acts on a space called ordered Auter space. We apply Poincaré's Polyhedron theorem to this action. We describe a decomposition of ordered Auter space. From these results, we deduce that the algebraic mapping class group of S is a quotient of the fundamental group of a graph of groups with, at most, two vertices and, at most, six edges. Vertex and edge groups of our graph of groups are mapping class groups of orientable surfaces with one, tw…
Dual Careers of Athletes During COVID-19 Lockdown
2021
This study aimed to investigate the student-athletes' capability to face the academic, sport, and social challenges during the coronavirus disease 2019 (COVID-19) lockdown and to disclose novel aspects of dual careers. A 32-item online survey encompassing demographic characteristics, sport and university engagement, support and dual-career benefits, physical activity, sitting time, and the time deemed necessary to recover the previous level of performance was developed. Four hundred sixty-seven student-athletes (males: 57%, females: 43%) from 11 countries, competing in 49 different sports (individual: 63.4%, team: 36.6%) at regional (17.5%), national (43.3%), and international (39.2%) level…
Computing the Original eBWT Faster, Simpler, and with Less Memory
2021
Mantaci et al. [TCS 2007] defined the \(\mathrm {eBWT}\) to extend the definition of the \(\mathrm {BWT}\) to a collection of strings. However, since this introduction, it has been used more generally to describe any \(\mathrm {BWT}\) of a collection of strings, and the fundamental property of the original definition (i.e., the independence from the input order) is frequently disregarded. In this paper, we propose a simple linear-time algorithm for the construction of the original \(\mathrm {eBWT}\), which does not require the preprocessing of Bannai et al. [CPM 2021]. As a byproduct, we obtain the first linear-time algorithm for computing the \(\mathrm {BWT}\) of a single string that uses …
Brauer correspondent blocks with one simple module
2019
One of the main problems in representation theory is to understand the exact relationship between Brauer corresponding blocks of finite groups. The case where the local correspondent has a unique simple module seems key. We characterize this situation for the principal p-blocks where p is odd.