A Coloring Problem for Infinite Words

In this paper we consider the following question in the spirit of Ramsey theory: Given $x\in A^\omega,$ where $A$ is a finite non-empty set, does there exist a finite coloring of the non-empty factors of $x$ with the property that no factorization of $x$ is monochromatic? We prove that this question has a positive answer using two colors for almost all words relative to the standard Bernoulli measure on $A^\omega.$ We also show that it has a positive answer for various classes of uniformly recurrent words, including all aperiodic balanced words, and all words $x\in A^\omega$ satisfying $\lambda_x(n+1)-\lambda_x(n)=1$ for all $n$ sufficiently large, where $\lambda_x(n)$ denotes the number of distinct factors of $x$ of length $n.$Comment: arXiv admin note: incorporates 1301.526

FLUORINATED RESPONSIVE LANTHANIDE COMPLEXES FOR MAGNETIC RESONANCE

A series of novel fluorinated lanthanide complexes has been synthesised for use as responsive probes for 19F MRS and MRI. The careful positioning of the CF3 group within 6.5 Å from the metal ion caused the fluorine longitudinal and transversal relaxation rates to be strongly enhanced. This allows faster MR signal acquisition, reducing the sample concentration and acquisition time required to obtain the desired signal intensity. The lanthanide ion also enhanced the chemical shift sensitivity of the fluorine nucleus to changes in the chemical environment. These characteristics have been exploited to develop responsive probes. A series of pH reporters containing an aromatic mono-amide arm has been prepared and their pH sensitivity assessed. Deprotonation of the amide proton caused a large variation of the 19F chemical shift. The pKa of the probe was modulated by varying the substituents on the aromatic group and an optimal value of 7.1 was obtained with an ortho cyano substituent. The introduction of phosphinate pendant arms allowed narrower linewidths and faster longitudinal relaxation rates to be achieved. The spectroscopic properties and the conformational isomerism of the same series of complexes have been analysed. In particular, their 19F NMR chemical shift, relaxation properties and 1H relaxivity characteristics were studied. A series of complexes bearing different ester functional groups was prepared and their ability as reporters for enzymatic activity assessed. PLE and -chymotripsin recognised the substrate and catalysed its transformation. Modification of the probe structure was revealed by variation of the relative signal intensity of the substrate and product fluorine resonances in the 19F NMR spectrum. Glycol chitosan conjugates with paramagnetic fluorinated complexes were prepared and their NMR properties assessed. In vivo MRI studies in animal models were undertaken and a selective uptake of the contrast agent in the tumour was observed with the Gd analogue

Association pattern of reciprocal translocations induced by chemicals and ionizing radiation in mouse germ cells: a comparison between single and combined treatments

The similarity degree of chemical, ionizing radiation, and combined treatments of chemical plus ionizing radiation in their capacity to induce reciprocal translocations was analyzed by means of multivariate analysis techniques on mice germ cells. The effect of three different doses of gamma rays, four doses of X-rays, and different doses of adriamycin, mitomycin C, thio-tepa and bleomycin, as well as the combined treatments of two doses of gamma rays with adriamycin, mitomycin c and thio-tepa, were studied. Our objectives were: 1) to determine the degree of similarity between the effects of chemicals and ionizing radiations in relation to the induction of reciprocal translocations in germ cells; and 2) to test the conclusions reached by previous authors using only single treatments. Data were arranged in a basic data matrix, analyzed by cluster analysis and ordination methods. The results showed that: 1) as single and combined treatments were grouped together, there was not a specifc pattern of chromosomal aberration induced for physical and chemical agents; 2) the association degree between single treatments was similar to that obtained by previous authors, although in this analysis combined treatments were added; and 3) some combined treatments using 9 Gy and drugs appear in different groups, although we expected that all the combined treatments of drugs with 9 Gy were grouped together. As a working hypothesis, we propose that the variability observed when the different treatments were compared could be dose dependent.Por medio de técnicas de análisis multivariado se determinó el grado de similitud de distintos agentes químicos y radiaciones ionizantes en la inducción de translocaciones recíprocas en células germinales de ratón. Se comparó el efecto de tres diferentes dosis de rayos gamma, cuatro dosis de rayos X y distintas dosis de adriamicina, mitomicina C, thio-tepa y bleomicina, así como también los tratamientos combinados con dos dosis de rayos gamma con adriamicina, mitomicina C y tio-tepa, y cuatro de rayos X. Los objetivos del presente trabajo fueron: 1) determinar el grado de similitud entre los tipos de translocaciones recíprocas inducidas por los agentes químicos y las radiaciones ionizantes; y 2) comparar estos resultados con los obtenidos previamente por otros autores al comparar los tratamientos individuales. Para la comparación de los diferentes tratamientos se elaboró una matriz de datos analizada por medio de técnicas de agrupamiento y de ordenación. Los resultados revelaron que: 1) los tratamientos simples y combinados se agruparon juntos, indicando la falta de un patrón específico de aberraciones inducido; 2) el grado de asociación entre los tratamientos simples no se vio modificado, a pesar de la incorporación de los tratamientos combinados; y 3) algunos tratamientos combinados con 9 Gy y las diferentes drogas se asociaron con otros tratamientos, en lugar de asociarse juntos como era de esperarse teniendo en cuenta los resultados obtenidos por otros autores. Como hipótesis de trabajo, proponemos que la variabilidad observada en los diferentes tratamientos podría ser dependiente de la dosis empleada.Fil: de Luca, Julio Cesar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico CONICET- La Plata. Instituto de Genética Veterinaria "Ing. Fernando Noel Dulout". Universidad Nacional de La Plata. Facultad de Ciencias Veterinarias. Instituto de Genética Veterinaria; ArgentinaFil: Ortiz Jaureguizar, Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Naturales y Museo. Laboratorio de Sistemática y Biología Evolutiva; ArgentinaFil: Posadas, Paula Elena. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Naturales y Museo. Laboratorio de Sistemática y Biología Evolutiva; Argentin

Non-destructive testing on aramid fibres for the long-term assessment of interventions on heritage structures

High strength fibre reinforced polymers (FRPs) are composite materials made of fibres such as carbon, aramid and/or glass, and a resin matrix. FRPs are commonly used for structural repair and strengthening interventions and exhibit high potential for applications to existing constructions, including heritage buildings. In regard to aramid fibres, uncertainties about the long-term behaviour of these materials have often made the designers reluctant to use them in structural engineering. The present study describes simple and non-destructive nonlinearity tests for assessing damage or degradation of structural properties in Kevlar fibres. This was obtained by using high precision measurements to detect small deviations in the dynamic response measured on fibres and ropes. The change in dynamic properties was then related to a damage produced by exposure of the sample to UV rays for a defined time period, which simulated long-term sun exposure. In order to investigate the sensitivity of such an approach to damage detection, non-linearity characterisation tests were conducted on aramid fibres in both damaged and undamaged states. With the purpose of carrying out dynamic tests on small fibre specimens, a dedicated instrumentation was designed and built in cooperation with the Metrology Laboratory of the Department of Electronics at the Politecnico di Torino

Improved analysis of the bounds from the electroweak precision tests on the 4-site model

We present a new complete analysis of the electroweak precision observables within the recently proposed 4-site Higgsless model, which is based on the SU(2)_L x SU(2)_1 x SU(2)_2 x U(1)_Y gauge symmetry and predicts six extra gauge bosons, W_{1,2} and Z_{1,2}. Within the epsilon_i (i=1,2,3,b) parametrization, we compute for the first time the EWPT bounds via a complete numerical algorithm going beyond commonly used approximations. Both epsilon_{1,3} impose strong constraints. Hence, it is mandatory to consider them jointly when extracting EWPT bounds and to fully take in to account the correlations among the electroweak precison measurements. The phenomenological consequence is that the extra gauge bosons must be heavier than 250 GeV. Their couplings to SM fermions, even if bounded, might be of the same order of magnitude than the SM ones. In contrast to other Higgsless models, the 4-site model is not fermiophobic. The new gauge bosons could thus be discovered in the favoured Drell-Yan channel already during the present run of the LHC experiment.Comment: Latex file, 35 pages, 10 figures, corrected typos, published versio

Inhibitors of the Cdc34 acidic loop:a computational investigation integrating molecular dynamics, virtual screening and docking approaches

AbstractAmong the different classes of enzymes involved in the ubiquitin pathway, E2 ubiquitin-conjugating enzymes occupy a central role in the ubiquitination cascade. Cdc34-like E2 enzymes are characterized by a 12–14 residue insertion in the proximity of the catalytic site, known as the acidic loop. Cdc34 ubiquitin-charging activity is regulated by CK2-dependent phosphorylation and the regulatory mechanism involves the acidic loop. Indeed, the phosphorylation stabilizes the loop in an open conformation that is competent for ubiquitin charging.Cdc34 is associated with a variety of diseases, such as hepatocellular carcinomas and prostatic adenocarcinomas. In light of its role, the discovery of potential inhibitory compounds would provide the mean to effectively modulate its activity.Here, we carried out a computational study based on molecular dynamics, virtual screening and docking to identify potential inhibitory compounds of Cdc34, modulating the acidic loop conformation. The molecules identified in this study have been designed to act as molecular hinges that can bind the acidic loop in its closed conformation, thus inhibiting the Cdc34-mediated ubiquitination cascade at the ubiquitin-charging step. In particular, we proposed a pharmacophore model featuring two amino groups in the central part of the model and two lateral aromatic chains, which respectively establish electrostatic interactions with the acidic loop (Asp 108 and Glu 109) and a hydrogen bond with Ser 139, which is one of the key residues for Cdc34 activity

On the coherent rotation of diffuse matter in numerical simulations of galaxy clusters

We present a study on the coherent rotation of the intracluster medium and dark matter components of simulated galaxy clusters extracted from a volume-limited sample of the MUSIC project. The set is re-simulated with three different recipes for the gas physics: $(i)$ non-radiative, $(ii)$ radiative without AGN feedback, and $(iii)$ radiative with AGN feedback. Our analysis is based on the 146 most massive clusters identified as relaxed, 57 per cent of the total sample. We classify these objects as rotating and non-rotating according to the gas spin parameter, a quantity that can be related to cluster observations. We find that 4 per cent of the relaxed sample is rotating according to our criterion. By looking at the radial profiles of their specific angular momentum vector, we find that the solid body model is not a suitable description of rotational motions. The radial profiles of the velocity of the dark matter show a prevalence of the random velocity dispersion. Instead, the intracluster medium profiles are characterized by a comparable contribution from the tangential velocity and the dispersion. In general, the dark matter component dominates the dynamics of the clusters, as suggested by the correlation between its angular momentum and the gas one, and by the lack of relevant differences among the three sets of simulations.Comment: 12 pages, updated to match the MNRAS versio

Interference effects in heavy W'-boson searches at the LHC

Interference effects are widely neglected in searches for new physics. This is the case in recent publications on searches for W'-bosons using leptonic final states. We examine the effects of interference on distributions frequently used to determine mass limits for possible W'-bosons and show that there are important qualitative effects on the behaviour of the new physics signal. There are two main consequences. Firstly, exclusion limits where interferences effects have not been considered are likely to have been overestimated. Secondly, presenting experimental results as a function of a transverse mass cut rather than in terms of the contribution of new physics to the total cross-section would be more informative.Comment: 31 pages, 8 figures. Published versio

Looking for Trouble: Analyzing Classifier Behavior via Pattern Divergence

Machine learning models may perform differently on different data subgroups, which we represent as itemsets (i.e., conjunctions of simple predicates). The identification of these critical data subgroups plays an important role in many applications, for example model validation and testing, or evaluation of model fairness. Typically, domain expert help is required to identify relevant (or sensitive) subgroups. We propose the notion of divergence over itemsets as a measure of different classification behavior on data subgroups, and the use of frequent pattern mining techniques for their identification. A quantification of the contribution of different attribute values to divergence, based on the mathematical foundations provided by Shapley values, allows us to identify both critical and peculiar behaviors of attributes. Extended experiments show the effectiveness of the approach in identifying critical subgroup behaviors