Dirac Neutrinos and Dark Matter Stability from Lepton Quarticity

We propose to relate dark matter stability to the possible Dirac nature of neutrinos. The idea is illustrated in a simple scheme where small Dirac neutrino masses arise from a type--I seesaw mechanism as a result of a $Z_4$ discrete lepton number symmetry. The latter implies the existence of a viable WIMP dark matter candidate, whose stability arises from the same symmetry which ensures the Diracness of neutrinos.Comment: 12 pages, 6 figures, Report N IFIC/16-4

How the European Court of Justice's judgement on Case 19/15 single-handedly changed the EU's food information policy

The European Court of Justice is asked by the German courts to determine if the European Union's legal framework on the use of nutrition and health claims in the advertising of food products applies to commercial communication that is directly forwarded by food business operators to health professionals. According to this ruling, because these professionals are not in a position to review all upcoming scientific studies and because of the complexity of the claims, they need to be protected from misleading claims as much as the average consumer. It is the author's view that this Judgment opens the door for the European Commission to define clear rules on how food businesses can approach health professionals when advertising their products

Self-Dictionary Sparse Regression for Hyperspectral Unmixing: Greedy Pursuit and Pure Pixel Search are Related

This paper considers a recently emerged hyperspectral unmixing formulation based on sparse regression of a self-dictionary multiple measurement vector (SD-MMV) model, wherein the measured hyperspectral pixels are used as the dictionary. Operating under the pure pixel assumption, this SD-MMV formalism is special in that it allows simultaneous identification of the endmember spectral signatures and the number of endmembers. Previous SD-MMV studies mainly focus on convex relaxations. In this study, we explore the alternative of greedy pursuit, which generally provides efficient and simple algorithms. In particular, we design a greedy SD-MMV algorithm using simultaneous orthogonal matching pursuit. Intriguingly, the proposed greedy algorithm is shown to be closely related to some existing pure pixel search algorithms, especially, the successive projection algorithm (SPA). Thus, a link between SD-MMV and pure pixel search is revealed. We then perform exact recovery analyses, and prove that the proposed greedy algorithm is robust to noise---including its identification of the (unknown) number of endmembers---under a sufficiently low noise level. The identification performance of the proposed greedy algorithm is demonstrated through both synthetic and real-data experiments

Compound orbits break-up in constituents: an algorithm

In this paper decomposition of periodic orbits in bifurcation diagrams are derived in unidimensional dynamics system $x_{n+1}=f(x_{n};r)$, being $f$ an unimodal function. We proof a theorem which states the necessary and sufficient conditions for the break-up of compound orbits in their simpler constituents. A corollary to this theorem provides an algorithm for the computation of those orbits. This process closes the theoretical framework initiated in (Physica D, 239:1135--1146, 2010)

Some Asymmetries in the Functioning of Relative Pronouns in Spanish

L'objectiu d'aquest article és de perfilar una teoria explicativa del comportament sintàctic dels pronoms relatius en espanyol. Una tal teoria ha de satisfer una exigència de globalitat, és a dir, ha d'incloure els dos tipus de frases relatives: restrictives i apositives. Això diferencia la nostra proposta d'algunes altres (com ara Rivero (1982) o Schrotten (1984), per exemple), que se centren bàsicament en les restrictives. Per raons purament opelatives (no teòriques), exclourem l'adjectiu relatiu cuyo del nostre estudi, no pas per la seva presència decreixent en la parla, sinó perqué els seu comportament sintàctic és perfectament regular i no mostra les asimetries que caracteritzen els altres pronoms relatius en espanyol. Seguirem la següent estratègia expositiva: a la secci6 1 estudiarem les dades i les propostes fetes prèviament, i a la secció 2 presentarem la nostra anàlisi