THE TRANSITION FROM the Mesolithic to the Early Neolithic in the western Mediterranean is a stimulating subject for more than one reason. First, the region’s geographic position means that it is a case of ‘distant Neolithisation’ (between 2000–3500 km) from the presumed epicentre of Neolithisation in south-east Asia, around the Turko-Syrian border. Attempting to grasp the economic, social or sy...

In this paper we present a survey of the use of differential geometric formalisms to describe Quantum Mechanics. We analyze Schrödinger and Heisenberg frameworks from this perspective and discuss how the momentum map associated to the action of the unitary group on the Hilbert space allows to relate both approaches. We also study Weyl-Wigner approach to Quantum Mechanics and discuss the implica...

INTRODUCTION A 20% of world cycad species are found in Mexico, 80% of which are endemic (Vovides, 2000). At least nine species are present in the state of San Luis Potosí: Dioon edule, Zamia fi scheri, Z. loddigesii, Ceratozamia hildae, C. kuesteriana, C. latifolia, C. mexicana, C. microstrobila, and C. zaragozae (Yáñez-Espinosa, 2006) [Ed’s note: Zamia vazquezii is also found in San Luis Potos...

The use of the mass term of the gauge field as a gauge fixing term, which was discussed by Zwanziger, Parrinello and Jona-Lasinio in a large mass limit, is related to the non-linear gauge by Dirac and Nambu. We have recently shown that this use of the mass term as a gauge fixing term is in fact identical to the conventional local Faddeev-Popov formula without taking a large mass limit, if one t...

The use of the mass term as a gauge fixing term has been studied by Zwanziger, Parrinello and Jona-Lasinio, which is related to the non-linear gauge Aμ = λ of Dirac and Nambu in the large mass limit. We have recently shown that this modified quantization scheme is in fact identical to the conventional local Faddeev-Popov formula without taking the large mass limit, if one takes into account the...

In this technical report we present a self-contained introduction to algorithms that solve sparse linear systems by message passing on a junction tree (a.k.a. clique tree). When solving the systemAx = b whereA is a sparse n×nmatrix, these methods require O(n · w3) time and O(n · w2) space, where w is the treewidth of A’s sparsity graph. These algorithms are useful for parallel or distributed so...

I Introduction What is the epistemic significance of discovering that one of your beliefs depends on an irrelevant causal factor? Suppose that you have a relatively high degree of belief in some proposition. Suppose that you then come to learn that your belief was (in part) caused by an irrelevant factor, a factor that does not bear on the truth of the proposition or on your possession of evide...

This material is covered in Cormen, Leiserson, Rivest and Smith “Introduction to Algorithms” — Appendix C. You can also look at the lecture notes for MIT course 6.042 Mathematics for Computer Science by Lehman and Leighton on http://theory.lcs.mit.edu/∼e lehman/mathcs.pdf — Chapters 18 to 24. (See also http://theory.lcs.mit.edu/classes/6.042/spring05/) You should also take a look at Trevisan’s ...

While quantum theory works remarkably well and there is no evidence to date that its validity may be limited, there have been attempts at modifying its structure both in order to resolve some conceptual problems or in order to establish its limits of validity. In particular, modifications of quantum theory have been considered in order to resolve the problem of transition to classical theory (t...

INTRODUCTION Cannabis is Europe's most commonly used illicit drug. Some users do not develop dependence or other problems, whereas others do. Many factors are associated with the occurrence of cannabis-related disorders. This makes it difficult to identify key risk factors and markers to profile at-risk cannabis users using traditional hypothesis-driven approaches. Therefore, the use of a data-...