Search results for "Cone"

Counting and equidistribution in Heisenberg groups

2014

We strongly develop the relationship between complex hyperbolic geometry and arithmetic counting or equidistribution applications, that arises from the action of arithmetic groups on complex hyperbolic spaces, especially in dimension $2$. We prove a Mertens' formula for the integer points over a quadratic imaginary number fields $K$ in the light cone of Hermitian forms, as well as an equidistribution theorem of the set of rational points over $K$ in Heisenberg groups. We give a counting formula for the cubic points over $K$ in the complex projective plane whose Galois conjugates are orthogonal and isotropic for a given Hermitian form over $K$, and a counting and equidistribution result for …

Counting and equidistribution in quaternionic Heisenberg groups

2020

AbstractWe develop the relationship between quaternionic hyperbolic geometry and arithmetic counting or equidistribution applications, that arises from the action of arithmetic groups on quaternionic hyperbolic spaces, especially in dimension 2. We prove a Mertens counting formula for the rational points over a definite quaternion algebra A over ${\mathbb{Q}}$ in the light cone of quaternionic Hermitian forms, as well as a Neville equidistribution theorem of the set of rational points over A in quaternionic Heisenberg groups.

Rectifiability of the reduced boundary for sets of finite perimeter over RCD(K,N) spaces

2019

This paper is devoted to the study of sets of finite perimeter in RCD(K,N) metric measure spaces. Its aim is to complete the picture of the generalization of De Giorgi’s theorem within this framework. Starting from the results of Ambrosio et al. (2019) we obtain uniqueness of tangents and rectifiability for the reduced boundary of sets of finite perimeter. As an intermediate tool, of independent interest, we develop a Gauss–Green integration-by-parts formula tailored to this setting. These results are new and non-trivial even in the setting of Ricci limits. peerReviewed

Endodontic management of type II dens invaginatus with open apex and large periradicular lesion using the XP-endo Finisher : a case report

2018

Dens invaginatus (DI) represents an endodontic challenge because of its complex root canal morphology. This case report presents the clinical management of a 22-year-old woman with type II DI in right maxillary lateral incisor with a painful swelling. Pulp testing revealed no response with the tooth. Type II DI with open apex and large periradicular lesion was seen on radiograph. The treatment was planned by using cone-beam computed tomography (CBCT) imaging. Canal treatment was completed in two appointments with the aid of a dental operating microscope. In the first appointment, the internal anatomy was modified using an ultrasonic tip, and chemo-mechanical preparation was performed using …

Wittgenstein a la luz de Aristóteles

2008

This paper compares the way Aristotle explains how one body gets alive or the way one mind manages to understand, with the way Wittgenstein discusses some questions as how is it possible to get meaning from the sign, or to follow a rule. The paper’s goal is not to establish a real influence of Aristotle on Wittgenstein, but to explore some logical aspects of their explanation patterns, with the aim of clarifying several notions of Wittgenstein’s later philosophy. El artículo compara el modo como Aristóteles explica que un cuerpo llegue a vivir o que una mente llegue a entender, con el esquema explicativo que emplea Wittgenstein para dar cuenta de problemas como éstos: ¿qué hace posible que …

Astor cantaire bec-roig, Azor lagartijero oscuro (VER0000147)

1852

Altres noms vulgars: Dark Chanting-Goshawk (Anglès), Autour sombre (Francès), Graubürzel-Singhabicht (Alemany) Gabinet de Vertebrats (Departament de Zoologia), Facultat de Ciències Biològiques (Campus de Burjassot), C/ Doctor Moliner, s/n, Bloque B. 5é plant, Burjassot (Valencia). Armari: 4-1 Abisinia 09/08/1852 Macho Adulto

Solidification microstructure during selective laser melting of Ni based superalloy: experiment and mesoscopic modelling

2019

International audience; A set of single track laser melting experiments was performed in a selective laser melting (SLM). The tracks were done on an Inconel 718 plate with various laser scan velocities at a constant laser power of 150 W. The geometries of the molten pool (MP), as well as the solidified dendrite structures, i.e., primary and secondary dendrite arm spacing (PDAS and SDAS), in the cross sections of the molten path were characterized to evaluate the effect of the laser scan velocity during SLM. Moreover, the local solidification thermal conditions (cooling rate R*, tip growth velocity V* and temperature gradient G*) at the MP bottom were deduced from the SDAS and the geometries…

Oligo(1,4-phenylenepyrazole-3,5-diyl)s

2003

The bifunctional nucleophile methylhydrazine reacts in an alkaline medium in a regioselective mode with chalcones to yield 2-pyrazolines, which can be oxidized by DDQ to the corresponding 1H-pyrazoles. From oligo(chalcone)s this reaction yields cross-conjugated compounds with an alternating sequence of 1,4-disubstituted benzene rings and 3,5-disubstituted 1H-pyrazole rings. (© Wiley-VCH Verlag GmbH & Co. KGaA, 69451 Weinheim, Germany, 2003)

PTEN Deletion in Adult Mice Induces Hypoinsulinemia With Concomitant Low Glucose Levels

2022

The PI3K/AKT pathway, negatively regulated by PTEN, plays a paramount role in glucose metabolism regulation due to its activation by the insulin receptor signaling pathway. We generated a PTEN-KO mouse to evaluate the systemic effect of the overactivation of the PI3K/AKT pathway in insulin signaling and glucose homeostasis. Our results demonstrate that PTEN-KO mice show very low glucose levels in the fasted state, which poorly respond to glucose and pyruvate administration. Insulinemia decreased without alterations in pancreatic islets. Among the possible reasons, we uncover the deregulation of the expression of proximal tubule glucose transporter and consequent glycosuria. Moreover, we evi…

Falcó selvàtic barrat, Halcón-selvático barrado (VER0000148)

Altres noms vulgars: Barred forest-falcon (Anglès), Carnifex barré (Francès), Sperberwaldfalke (Alemany) Gabinet de Vertebrats (Departament de Zoologia), Facultat de Ciències Biològiques (Campus de Burjassot), C/ Doctor Moliner, s/n, Bloque B. 5é plant, Burjassot (Valencia). Armari: 4-1 América Central Macho Adulto