Article history: Received 29 March 2010 Accepted 8 April 2010 Presented by Pierre Deligne We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed Hodge structure. © 2010 Académie des sciences. Published by Elsevier Masson SAS. All rights reserved. r é s u m é On généralise le théorème de E. Cattani, P. Deligne, et A. Kaplan aux variations de structur...

In the first part of these notes we use a probabilistic method to show the existence of graphs with large girth and large chromatic number. In the second part we give an explicit example of such graphs. It is mostly based on the third chapter of Some Applications Of Modular Forms by Peter Sarnak and also the third and forth chapters of Elementary Number Theory, Group Theory, And Ramanujan Graph...

1. Challenges to the Universals and Evolution theory of basic color term naming A theory of basic color term meanings based on the observation of semantic universals and evolutionary regularity in the naming of colors across languages was proposed by Berlin and Kay (1969). This model has undergone numerous revisions. I will refer to the various versions collectively as the UE model. A constant ...

This paper centers on the problem of finding commonalities for a set of objects belonging to an object-oriented database. In our approach, commonalities within a set of objects are described by object-oriented queries that compute this set of objects. The paper discusses the architecture of a knowledge discovery system, called MASSON, which employs genetic programming to find such queries. We a...

The observed seismic anisotropy of the southern African mantle from both shear-wave splitting and surface wave observations provides important constraints on modes of mantle deformation beneath this ancient continent. We find that the mantle anisotropy beneath southern Africa is dominated by deformational events in Archean times occurring within the lithosphere, rather than present-day processe...