Snow melting bias in microwave mapping of Antarctic snow accumulation O. Magand, G. Picard, L. Brucker, M. Fily, and C. Genthon Laboratoire de Glaciologie et Géophysique de l’Environnement, CNRS, Université Joseph Fourier-Grenoble, 54 Rue Molière, BP 96, 38402 St Martin d’Hères Cedex, France Received: 13 February 2008 – Accepted: 4 March 2008 – Published: 24 April 2008 Correspondence to: G. Pic...

We compute all K3 surfaces with Picard rank 20 over Q. Our proof uses modularity, the Artin-Tate conjecture and class group theory. With different techniques, the result has been established by Elkies to show that Mordell-Weil rank 18 over Q is impossible for an elliptic K3 surface. We also apply our methods to general singular K3 surfaces, i.e. with geometric Picard rank 20, but not necessaril...

Our main goal in this paper is to construct the first explicit fundamental domain of the Picard modular group acting on the complex hyperbolic space CH . The complex hyperbolic space is a Hermitian symmetric space, its bounded realization is the unit ball in C equipped with the Bergman metric. The Picard modular group is a discontinuous holomorphic automorphism subgroup of SU(2, 1) with Gaussia...

PARADIGM Akshay Mohan, Rosalind Picard The Media Laboratory, Massachusetts Institute of Technology 20 Ames Street, Cambridge MA 02139-4307 USA {amohan, picard}@media.mit.edu Abstract The paper describes Health0: an innovative healthcare and lifestyle management wearable system that aims to bring an individual focused approach to healthcare. A modular architecture is proposed that combines a Lin...

The Brauer group of a commutative ring is an important invariant of a commutative ring, a common journeyman to the group of units and the Picard group. Burnside rings of finite groups play an important rôle in representation theory, and their groups of units and Picard groups have been studied extensively. In this short note, we completely determine the Brauer groups of Burnside rings: they van...

We construct examples of K3 surfaces of geometric Picard rank 1. Our method is a refinement of that of R. van Luijk [vL]. It is based on an analysis of the Galois module structure on étale cohomology. This allows to abandon the original limitation to cases of Picard rank 2 after reduction modulo p. Furthermore, the use of Galois data enables us to construct examples which require significantly ...

In this paper, a comparative study of Picard method, Adomian method and Predictor-Corrector method are presented for fractional integral equation. In Picard method [6] a uniform convergent solution for the fractional integral equation is obtained. Also, for Adomian method, we construct a series solution see ([1], [5] and [7]). Finally, Predictor-Corrector method is used for solving fractional i...

A question arising out of the late 80’s about computation systems was could machines be intelligent without emotions ([Minsky 1988]). It seems that the machines of today are not only inhuman but also behave stupidly. Studies by psychologists have shown that humans who lack the emotional features usually used by many aspects of human reasoning do not behave intelligently [Damasio 1994]. This the...

Five dimensional supersymmetric gauge theory compactified on a circle defines an effective N = 2 supersymmetric theory for massless fields in four dimensions. Based on the relativistic Toda chain Hamiltonian proposed by Nekrasov, we derive the Picard-Fuchs equation on the moduli space of the Coulomb branch of SU(2) gauge theory. Our Picard-Fuchs equation agrees with those from other approaches;...

In this article, we propose a new multigrid-based algorithm for solving integral equations of the reference interactions site model (RISM). We also investigate the relationship between the parameters of the algorithm and the numerical accuracy of the hydration free energy calculations by RISM. For this purpose, we analyzed the performance of the method for several numerical tests with polar and...