Search results for "GEOMETRIA"
showing 10 items of 422 documents
A metageometric enquiry concerning time, space, and quantum physics
2008
MR 3020148 Reviewed McMullen, C.T. Braid groups and Hodge theory. Mathematische Annalen, vol. 355 (2013), pp.893–-946. (Reviewer Francesca Vetro) 20F…
2014
In this paper, the author studies the unitary representations of the braid group and the geometric structures on moduli space that arise via the Hodge theory of cyclic branched coverings of P^1. In particular, the author is interested in the classification of certain arithmetic subgroups of U(r, s) which envelop the image of the braid group. The author investigates their connections with complex reflection groups, Teichm\"{u}lller curves, ergodic theory and problems in surface topology.
MR 2776821 Reviewed Berger E. Hurwitz equivalence in dihedral groups. The Electronic Journal of Combinatorics 18 (2011), no.1, paper 45, 16 pp. (Revi…
2011
In the paper under review, the author studies the orbits of the action of the braid group B_{n} on G^{n} where G denoted a dihedral group. At first, the author considers tuples T consisting only of reflections. In this case, the author proves that the orbits are determinate by three invariants. These invariants are the product of the entries, the subgroup generated by the entries and the number of times each conjugacy class is represented in T. Successively, the author works with tuples whose entries are any elements of dihedral groups. The author shows that, also this time, the above invariants are sufficient in order to determinate the orbits of the action of B_{n} on G^{n}.
Dalla “moderna geometria” alla “nuova geometria” italiana. Viaggiando per Napoli, Torino e dintorni. Lettere di Sannia, Segre, Peano, Castelnuovo, D’…
2006
Dal CAD al GIS: il trasferimento di informazioni cartografiche
2005
L’utilizzo della cartografia nei GIS impone una riflessione sulle caratteristiche che essa deve possedere al fine di consentire le elaborazioni tipiche di questi sistemi e rende necessario verificare quali siano le informazioni che rimangono associate agli oggetti della classe al momento del caricamento dei dati, in formato DXF, all’interno di software GIS. Negli ultimi anni a livello internazionale sono state fissate norme tendenti a individuare linee guida per la definizione della struttura del contenuto semantico della cartografia numerica, delle caratteristiche geometriche e delle relazioni topologiche dell’informazione geografica.
$MC$-hypercentral groups
2007
This paper is devoted to the imposition of some chain conditions on groups having a generalized central series. It is also given a characterization of MC-groups with finite abelian section rank: such class of groups is a suitable enlargement of the class of FC-groups. Mathematics Subject Classification: 20F24; 20F14
Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces
2020
This paper is related to the problem of finding a good notion of rectifiability in sub-Riemannian geometry. In particular, we study which kind of results can be expected for smooth hypersurfaces in Carnot groups. Our main contribution will be a consequence of the following result: there exists a -hypersurface without characteristic points that has uncountably many pairwise non-isomorphic tangent groups on every positive-measure subset. The example is found in a Carnot group of topological dimension 8, it has Hausdorff dimension 12 and so we use on it the Hausdorff measure . As a consequence, we show that any Lipschitz map defined on a subset of a Carnot group of Hausdorff dimension 12, with…
Geometrie dinamiche nel tracciamento delle curve "celebri" di Apollonio
2011
The elaboration of a conic as geometric locus assumes characteristics of significant generality for the application of methods of Science of Representation. We describes its historical evolution, from the origins to the digital representation, and the peculiar characters through new geometric constructions.
Geometrinen hahmottaminen sosiaalisena, vuorovaikutteisena ja kehollisena toimintana
2022
Matematiikan ja luonnontieteiden oppimista käsittelevässä tutkimuksessa on viime aikoina korostettu kehon, kognition ja vuorovaikutuksen läheistä yhteyttä. Tässä artikkelissa pohdimme, millä tavoin geometrinen hahmottaminen on sosiaalista, vuorovaikutteista ja materiaalien välittämää kehollista toimintaa. Tarkastelemme eräässä kouluajan ulkopuolella järjestetyssä STEAM-työpajassa kerättyä videoaineistoa keskustelunanalyysin menetelmin. Työpajassa alakouluikäiset oppilaat saivat tehtäväkseen koota pareittain jalkapallon geometrisen representaation 4DFrame-rakennussarjan muoviputkista ja -kiinnikkeistä. Tapaustutkimuksemme osoittaa, miten tämän kaltaisen ohjatun rakennustehtävän aikana katse,…