Seawater carbonate chemistry and biological processes during experiments with the spider crab Hyas araneus in Kongsfjorden, Svalbard, 2009

With global climate change, ocean warming and acidification occur concomitantly. In this study, we tested the hypothesis that increasing CO2 levels affect the acid-base balance and reduce the activity capacity of the Arctic spider crab Hyas araneus, especially at the limits of thermal tolerance. Crabs were acclimated to projected oceanic CO2 levels for 12 days (today: 380, towards the year 2100: 750 and 1,120 and beyond: 3,000 ?atm) and at two temperatures (1 and 4 °C). Effects of these treatments on the righting response (RR) were determined (1) at acclimation temperatures followed by (2) righting when exposed to an additional acute (15 min) heat stress at 12 °C. Prior to (resting) and after the consecutive stresses of combined righting activity and heat exposure, acid-base status and lactate contents were measured in the haemolymph. Under resting conditions, CO2 caused a decrease in haemolymph pH and an increase in oxygen partial pressure. Despite some buffering via an accumulation of bicarbonate, the extracellular acidosis remained uncompensated at 1 °C, a trend exacerbated when animals were acclimated to 4 °C. The additional combined exposure to activity and heat had only a slight effect on blood gas and acid-base status. Righting activity in all crabs incubated at 1 and 4 °C was unaffected by elevated CO2 levels or acute heat stress but was significantly reduced when both stressors acted synergistically. This impact was much stronger in the group acclimated at 1 °C where some individuals acclimated to high CO2 levels stopped responding. Lactate only accumulated in the haemolymph after combined righting and heat stress. In the group acclimated to 1 °C, lactate content was highest under normocapnia and lowest at the highest CO2 level in line with the finding that RR was largely reduced. In crabs acclimated to 4 °C, the RR was less affected by CO2 such that activity caused lactate to increase with rising CO2 levels. In line with the concept of oxygen and capacity limited thermal tolerance, all animals exposed to temperature extremes displayed a reduction in scope for performance, a trend exacerbated by increasing CO2 levels. Additionally, the differences seen between cold- and warm-acclimated H. araneus after heat stress indicate that a small shift to higher acclimation temperatures also alleviates the response to temperature extremes, indicating a shift in the thermal tolerance window which reduces susceptibility to additional CO2 exposure.

Freeform Fresnel RXI-RR Köhler design with spectrum-splitting for photovoltaics

The development of a novel optical design for the high concentration photovoltaics (HPCV) nonimaging concentrator (>500x) that utilizes a built-in spectrum splitting concept is presented. The primary optical element (POE) is a flat Fresnel lens and the secondary optical element (SOE) is a free-form RXI-type concentrator with a band-pass filter embedded in it. The POE and SOE perform Köhler integration to produce light homogenization on the receiver. The system uses a combination of a commercial concentration GaInP/GaInAs/Ge 3J cell and a concentration Back-PointContact (BPC) silicon cell for efficient spectral utilization, and an external confinement technique for recovering the 3J cell’s reflection. A design target of an “equivalent” cell efficiency ~46% is predicted using commercial 39% 3J and 26% Si cells. A projected CPV module efficiency of greater than 38% is achievable at a concentration level greater than 500X with a wide acceptance angle of ±1º. A first proof-of concept receiver prototype has been manufactured using a simpler optical architecture (with a lower concentration, ~100x and lower simulated added efficiency), and experimental measurements have shown up to 39.8% 4J receiver efficiency using a 3J cell with a peak efficiency of 36.9%

Free-form Fresnel RXI-RR Köhler design for high-concentration photovoltaics with spectrum-splitting

Development of a novel HCPV nonimaging concentrator with high concentration (>500x) and built-in spectrum splitting concept is presented. It uses the combination of a commercial concentration GaInP/GaInAs/Ge 3J cell and a concentration Back-Point-Contact (BPC) silicon cell for efficient spectral utilization, and external confinement techniques for recovering the 3J cell's reflection. The primary optical element (POE) is a flat Fresnel lens and the secondary optical element (SOE) is a free-form RXI-type concentrator with a band-pass filter embedded in it - Both the POE and SOE performing Köhler integration to produce light homogenization on the receiver. The band-pass filter transmits the IR photons in the 900-1200 nm band to the silicon cell. A design target of an "equivalent" cell efficiency ~46% is predicted using commercial 39% 3J and 26% Si cells. A projected CPV module efficiency of greater than 38% is achievable at a concentration level larger than 500X with a wide acceptance angle of ±1°. A first proof-of concept receiver prototype has been manufactured using a simpler optical architecture (with a lower concentration, ~100x and lower simulated added efficiency), and experimental measurements have shown up to 39.8% 4J receiver efficiency using a 3J cell with a peak efficiency of 36.9%.

Factores nutricionales que influyen sobre las variables productivas y el desarrollo del tracto gastrointestinal en pollitas comerciales rubias = Nutritional factors affecting productive performance and gastrointestinal tract traits in commercial brown-egg laying pullets

El objetivo general de esta Tesis doctoral fue estudiar la influencia de diversos factores nutricionales sobre los parámetros productivos y el desarrollo del tracto digestivo de pollitas rubias destinadas a la producción de huevos comerciales. Para alcanzar este objetivo se realizaron tres experimentos donde se estudió el cereal principal, el tamaño de partícula del cereal y el nivel de energía y la presentación de los piensos. En el experimento 1 se estudió la influencia del cereal (piensos con enzimas) y la presentación del pienso sobre los parámetros productivos y las características del tracto digestivo en 576 pollitas rubias de 1 a 120 d de edad. De 1 a 45 d de la edad, se utilizaron 4 piensos experimentales organizados de forma factorial con 2 cereales al 50% de inclusión (maíz vs. trigo) y 2 presentaciones del pienso (harina vs. gránulo de 2- mm de diámetro). Cada tratamiento se replicó 6 veces (24 pollitas por réplica). De 46 a 120 d de edad todas las dietas (maíz o trigo) se ofrecieron en harina y por tanto, la única diferencia entre tratamientos fue el cereal utilizado. De 1 a 120 d de edad, las pollitas que recibieron los piensos basados en maíz tuvieron una ganancia de peso vivo (PV) superior (P < 0,05) que las que recibieron los piensos basados en trigo, pero el índice de conversión (IC) fue similar para ambos grupos. De 1 a 45 d de edad, las pollitas alimentadas con gránulo consumieron más pienso (P < 0,001) y tuvieron una ganancia de peso superior (P < 0,001) que las pollitas alimentadas con harina. Gran parte de los efectos beneficiosos de la granulación sobre los parámetros productivos se mantuvieron al final de la prueba (120 d de edad). A los 45 d de edad, el peso relativo de la molleja (PR; g/kg PV) fue superior (P < 0,01) en pollitas alimentadas con maíz que en pollitas alimentadas con trigo. La alimentación en gránulo redujo el PR del tracto gastro intestinal (TGI) y de la molleja (P < 0,001), así como la longitud relativa (LR; cm/kg PV) del intestino delgado (P< 0.01) a ambas edades (45 y 120 d de edad). El tipo de cereal utilizado no afectó al pH del contenido de la molleja a 120 d de edad pero fué inferior (P < 0,01) en las pollitas que recibieron el pienso en harina de 1 a 45 d de la edad que en las que recibieron el pienso en gránulo. Se concluye que el trigo puede substituir al maíz en piensos para pollitas si se acepta una ligera reducción en la ganancia de peso. Asímismo, la alimentación en gránulo de 1 a 45 d de edad aumentó la ganancia de peso a esta edad y al final de la prueba, así como el pH de la molleja a 120 d de edad. La presentación del pienso en gránulo redujo el PR de la molleja y la LR del TGI a 120 d de edad. En el experimento 2 se utilizaron un total de 864 pollitas rubias Hy-Line de 1 d de edad para estudiar la influencia del cereal de la dieta (500 g de maíz o trigo/kg) y el tamaño de partícula del mismo (molienda con molino de martillos con un diámetro de criba de 6, 8, o 10-mm) sobre los parámetros productivos y las características del TGI de 1 a 120 d de edad. Cada uno de los 6 tratamientos se replicó 6 veces (24 pollitas por réplica). De 1 a 45 d de edad, la ganancia de PV aumentó (P< 0,001) y el IC se mejoró (P < 0,05) al reducir el tamaño de partícula del cereal, pero no se observaron diferencias en el periodo crecimiento de 45 a 120 d de edad. A los 45 d de vida, las pollitas alimentadas con maíz tendieron (P < 0,10) a tener un mayor PR del TGI y del proventrículo y una mayor LR del intestino delgado que las pollitas alimentadas con trigo. Asímismo, el PR del TGI a esta edad, aumentó (P < 0,05) a medida que aumentaba el tamaño de partícula del cereal utilizado. A los 120 d de edad, el tratamiento no afectó el PR de ninguno de los órganos del TGI ni al pH de la molleja. Sin embargo, la LR del intestino delgado fue superior (P < 0,05) para las pollitas alimentadas con trigo que para las pollitas alimentadas con maíz. La LR del TGI se redujó (P < 0,05) al aumentar el tamaño de partícula del cereal. Se concluye que el trigo puede incluirse 500 g/kg en piensos de pollitas de 1 a 120 días de edad y que el tamaño de partícula de los cereales afecta el crecimiento de las pollitas durante los primeros 45 d de vida, pero no después. Por lo tanto, se recomienda moler el cereal utilizado al inicio del período de recría (1 a 45 d de edad) con una criba de diámetro igual o inferior a 8 mm. En el experimento 3 se utilizaron un total de 1.152 pollitas rubias Hy-Line de 1 d de edad para estudiar la influencia del nivel de energía de la dieta y la presentación del pienso sobre la productividad y las características del TGI. De 1 a 45 d de edad se utilizaron 6 piensos organizados de forma factorial con 3 concentraciones energéticas (baja: 11,44 MJ; media: 12,05 MJ y alta: 12,66 MJ/kg) y 2 presentaciones del pienso (harina vs. gránulo). De 45 a 120 d todos los piensos experimentales se suministraron en forma de harina y por tanto, la única diferencia entre tratamientos fue el nivel de EMAn utilizado. Cada uno de los 6 tratamientos se replicó 8 veces y la unidad experimental fue la jaula con 24 pollitas. De 1 a 120 d de edad, la ganancia de PV y el IC mejoraron a medida que aumentó la EMAn del pienso (P < 0,001). Las pollitas alimentadas con gránulo de 1 a 45 d de edad comieron mas y tuvieron una ganancia de peso superior (P < 0,001) que las alimentadas con harina. En el global de la prueba, la ganancia de PV fue mayor (P < 0,01) para las pollitas alimentadas con piensos en gránulo. A los 45 d de edad, el PR de todos los segmentos del TGI estudiados fue inferior para las pollitas alimentadas con piensos de alta energía que para las pollitas alimentadas con piensos de media o baja energía. A 120 d de edad, el PR de la molleja fue superior (P < 0,01) para las pollitas alimentadas con piensos de baja energía que con los otros piensos. Sin embargo, la LR del TGI no se vió afectada por el nivel de energía de los piensos. A los 45 d de edad, la alimentación con gránulo redujo el PR del proventrículo (P < 0,05), de la molleja (P < 0,001) y del TGI (P < 0.001), así como la LR del intestino delgado (P < 0,05) y de los ciegos (P < 0,001). A pesar de que las pollitas solo recibieron los piensos en gránulo durante los primeros 45 d de vida, la alimentación con gránulos redujo el PR de la molleja y del proventrículo a 120 d de edad. Se concluye que la alimentación con gránulos durante los primeros 45 d de vida mejora el consumo de pienso y el PV de las pollitas a 120 d de edad. Un aumento del nivel de energía de la dieta de 12,0 a 12,7 MJ/kg mejora los parámetros productivos de 1 a 120 d de edad pero reduce el tamaño del proventrículo y de la molleja. En base de estos resultados concluimos que maíz y trigo con enzimas pueden utilizarse indistintamente en piensos para pollitas de 1 a 120 d de edad con sólo una ligera disminución del PV final con trigo. La granulación y la reducción del tamaño de partícula del cereal del pienso de primera edad (1 a 45 d de vida) y el uso de piensos de alta densidad energética, mejoran los PV a 120 d de edad. Por lo tanto, es recomendable moler los cereales con cribas de no más de 8-mm de diámetro. También, la granulación del pienso y el uso de piensos de alta energía (pobres en fibra bruta) pueden reducir el desarrollo del TGI especialmente de la molleja, lo que puede perjudicar el consumo posterior de pienso durante el inicio del ciclo de puesta. ABSTRACT The general objective of this Thesis was to study the effect of different nutritional factors on productive performance and the development of the gastrointestinal tract (GIT) of commercial brown egg-laying pullets from 1 to 120 d of age. In this respect, the influence of type and particle size of the cereal, and feed form, and energy content of the die,t were studied in 3 experiments. In experiment 1, the influence of the main cereal and feed form of the diet on performance and GIT traits was studied in 576 brown-egg laying pullets from 1 to 120 d of age. From 1 to 45 d of age, 4 diets arranged factorially with 2 cereals (maize vs. wheat) and 2 feed forms (mash vs. pellets) were used. Each treatment was replicated 6 times (24 pullets per replicate). From 46 to 120 d of age, all diets were offered in mash form and therefore, the only difference among diets was the cereal used. Cumulatively, pullets fed the maize diets had higher body weight (BW) gain (P< 0.05) but similar feed conversion ratio (FCR) than pullets fed the wheat diets. From 1 to 45 d of age, pullets fed pellets consumed more feed (P < 0.001) and had higher BW gain (P < 0.001) than pullets fed mash. Most of the beneficial effects of pelleting on productive performance of the birds were still evident at 120 d of age. At 45 d of age, gizzard relative weight (RW; g/kg BW) was higher (P < 0.01) in pullets fed maize than in pullets fed wheat. Feeding pellets reduced the RW of the GIT and the gizzard (P < 0.001) as well as the relative length (RL; cm/kg BW) of the small intestine (SI, P < 0.01) at both ages. The pH of the gizzard contents at 120 d of age was not affected by the main cereal of the diet, but was lower in pullets fed mash from 1 to 45 d of age (P < 0.01) than in pullets fed pellets. We conclude that wheat supplemented with enzymes can be used in substitution of maize in pullet diets with only a slight reduction in BW gain at 120 d of age. Also, feeding pellets from 1 to 45 d of age increased BW gain and pH of the gizzard, and reduced the RW of the gizzard and the RL of the GIT at 120 d of age. In experiment 2, a total of 864 brown-egg laying pullets was used to study the effects of the main cereal of the diet (500 g maize or wheat/kg) and particle size of the cereal (hammer milled to pass through a 6, 8, and 10-mm screen) on growth performance and GIT traits from 1 to 120 d of age. Each of the 6 treatments was replicated 6 times (24 pullets per replicate). Type of cereal did not affect pullet performance at any age. From 1 to 45 d of age, BW gain was increased (P < 0.001) and FCR was improved (P < 0.05) as the particle size of the cereal was reduced, but no effects were observed after this age. At 45 d of age, pullets fed maize tended (P < 0.10) to have a heavier RW of the GIT and proventriculus and a higher relative length (RL, cm/kg BW) of the SI than pullets fed wheat. Also at this age, the RW of the GIT increased (P < 0.05) with increases in particle size of the cereal. At 120 d of age, dietary treatment did not affect the RW of any of the organs studied or gizzard pH, but the RL of the SI was higher (P < 0.05) for pullets fed wheat than for pullets fed maize. Also, the RL of the SI was reduced (P < 0.05) as the particle size of the cereal increased. We conclude that 500 g wheat/kg can be included in pullet feeds from 1 to 120 d of age, and that particle size of the cereal affects pullet performance during the first 45 d of life but not thereafter. Therefore, it is recommended to grind the cereal used in this period with a screen size of no more than 8-mm. In experiment 3, a total of 1,152 one-day-old Hy-Line Brown egg laying pullets were used to study the influence of the energy content of the diet and feed form on productive performance and on several GIT traits. From 1 to 45 d of age, there were 6 diets arranged factorially with 3 concentrations of AMEn (low: 11.66 MJ/kg, medium: 12.05 MJ/kg and high: 12.66 MJ/kg) of the diet and 2 feed forms (mash vs. pellets). From 45 to 120 d all diets were fed in mash form and therefore, the only difference among treatments in this period was the energy content of the diets. Each of the 6 treatments was replicated 8 times and the experimental unit was formed by 24 pullets. Cumulatively, BW gain and FCR improved as the AMEn of the diet increased (P < 0.001). Also, pullets fed pellets from 1 to 45 d of age had higher feed intake and BW gain (P < 0.001) in this period and higher cumulative BW gain (P < 0.01) than pullets fed mash. At 45 d of age, the RWof all the segments of the GIT was lower for pullets fed the high- than for pullets fed the medium- or low- energy diets. At 120 d of age, the RW of the gizzard was higher (P < 0.01) for pullets fed the low energy diets than for pullets fed the other diets. However, the RL of the GIT was not affected by the energy content of the diet. Feeding pellets reduced the RW of the proventriculus (P < 0.05), gizzard (P < 0.001), and GIT (P < 0.001), as well as the RL of the small intestine (P < 0.05) and the ceaca (P < 0.001) at 45 d of age. The effects of feeding pellets on RW of gizzard and proventriculus were still evident at 120 d of age. We concluded that feeding pellets from 1 to 45 d of age improved feed intake and BW of pullets at 120 d of age and that an increase in the energy content of the diet increased pullet performance at all ages but reduced the RW of the proventriculus and gizzard. We conclude that maize and wheat can be used indistinctly in diets for egg laying pullets from 1 to 120 d of age, with only a slight reduction in final BW when wheat is used. Also, particle size of the cereal affects pullet performance during the first 45 d of life but not thereafter. Pelleting of the feeds, and grinding the cereal with a screen size of no more than 8-mm from 1 to 45 d of age, and the use of high density energy diets are recommended in order to achieve adequate target BW at 120 d of age. However, pelleting of the feed, very fine grinding, and the use of high AMEn diets might hinder the development of the GIT, especially that of the gizzard, which might affect feed intake of laying hens especially at the beginning of the production cycle.

Análisis cuantitativo y cualitativo de los momentos críticos en baloncesto = Quantitative and qualitative analysis of the critical moments in basketball

El MC en baloncesto es aquel fenómeno relacionado con el juego que presenta unas características particulares determinadas por la idiosincrasia de un equipo y puede afectar a los protagonistas y por ende al devenir del juego. En la presente Tesis se ha estudiado la incidencia del MC en Liga A.C.B. de baloncesto y para su desarrollo en profundidad se ha planteado dos investigaciones una cuantitativa y otra cualitativa cuya metodología se detalla a continuación: La investigación cuantitativa se ha basado en la técnica de estudio del “Performance analysis”, para ello se han estudiado cuatro temporadas de la Liga A.C.B. (del 2007/08 al 2010/11), tal y como refleja en la bibliografía consultada se han tomado como momentos críticos del juego a los últimos cinco minutos de partidos donde la diferencia de puntos fue de seis puntos y todos los Tiempos Extras disputados, de tal manera que se han estudiado 197 momentos críticos. La contextualización del estudio se ha hecho en función de la variables situacionales “game location” (local o visitante), “team quality” (mejores o peores clasificados) y “competition” (fases de LR y Playoff). Para la interpretación de los resultados se han realizado los siguientes análisis descriptivos: 1) Análisis Discriminante, 2) Regresión Lineal Múltiple; y 3) Análisis del Modelo Lineal General Multivariante. La investigación cualitativa se ha basado en la técnica de investigación de la entrevista semiestructurada. Se entrevistaron a 12 entrenadores que militaban en la Liga A.C.B. durante la temporada 2011/12, cuyo objetivo ha sido conocer el punto de vista que tiene el entrenador sobre el concepto del MC y que de esta forma pudiera dar un enfoque más práctico basado en su conocimiento y experiencia acerca de cómo actuar ante el MC en el baloncesto. Los resultados de ambas investigaciones coinciden en señalar la importancia del MC sobre el resultado final del juego. De igual forma, el concepto en sí entraña una gran complejidad por lo que se considera fundamental la visión científica de la observación del juego y la percepción subjetiva que presenta el entrenador ante el fenómeno, para la cual los aspectos psicológicos de sus protagonistas (jugadores y entrenadores) son determinantes. ABSTRACT The Critical Moment (CM) in basketball is a related phenomenon with the game that has particular features determined by the idiosyncrasies of a team and can affect the players and therefore the future of the game. In this Thesis we have studied the impact of CM in the A.C.B. League and from a profound development two investigations have been raised, quantitative and qualitative whose methodology is as follows: The quantitative research is based on the technique of study "Performance analysis", for this we have studied four seasons in the A.C.B. League (2007/08 to 2010/11), and as reflected in the literature the Critical Moments of the games were taken from the last five minutes of games where the point spread was six points and all overtimes disputed, such that 197 critical moments have been studied. The contextualization of the study has been based on the situational variables "game location" (home or away), "team quality" (better or lower classified) and "competition" (LR and Playoff phases). For the interpretation of the results the following descriptive analyzes were performed: 1) Discriminant Analysis, 2) Multiple Linear Regression Analysis; and 3) Analysis of Multivariate General Linear Model. Qualitative research is based on the technique of investigation of a semi-structured interview. 12 coaches who belonged to the A.C.B. League were interviewed in seasons 2011/12, which aimed to determine the point of view that the coach has on the CM concept and thus could give a more practical approach based on their knowledge and experience about how to deal with the CM in basketball. The results of both studies agree on the importance of the CM on the final outcome of the game. Similarly, the concept itself is highly complex so the scientific view of the observation of the game is considered essential as well as the subjective perception the coach presents before the phenomenon, for which the psychological aspects of their characters (players and coaches) are crucial.

Modulation of a calcium-sensitive nonspecific cation channel by closely associated protein kinase and phosphatase activities

Regulation of nonspecific cation channels often underlies neuronal bursting and other prolonged changes in neuronal activity. In bag cell neurons of Aplysia, it recently has been suggested that an intracellular messenger-induced increase in the activity of a nonspecific cation channel may underlie the onset of a 30-min period of spontaneous action potentials referred to as the “afterdischarge.” In patch clamp studies of the channel, we show that the open probability of the channel can be increased by an average of 10.7-fold by application of ATP to the cytoplasmic side of patches. Duration histograms indicate that the increase is primarily a result of a reduction in the duration and percentage of channel closures described by the slowest time constant. The increase in open probability was not observed using 5′-adenylylimidodiphosphate, a nonhydrolyzable ATP analog, and was blocked in the presence of H7 or the more specific calcium/phospholipid-dependent protein kinase C (PKC) inhibitor peptide(19–36). Because the increase in activity observed in response to ATP occurred without application of protein kinase, our results indicate that a kinase endogenous to excised patches mediates the effect. The effect of ATP could be reversed by exogenously applied protein phosphatase 1 or by a microcystin-sensitive phosphatase also endogenous to excised patches. These results, together with work demonstrating the presence of a protein tyrosine phosphatase in these patches, suggest that the cation channel is part of a regulatory complex including at least three enzymes. This complex may act as a molecular switch to activate the cation channel and, thereby, trigger the afterdischarge.

Prospective measurements of dehydroepiandrosterone sulfate in a cohort of elderly subjects: Relationship to gender, subjective health, smoking habits, and 10-year mortality

The decrease with age of the adrenal-secreted dehydroepiandrosterone sulfate (DHEAS) in serum has suggested that it may be causally related to longevity. For the PAQUID [People (Personnes) Aged (Agées) About What (Quid, in Latin)] cohort of elderly subjects, we have previously reported higher DHEAS in men than in women, a decrease with age and, among men, a negative correlation between the DHEAS level and mortality at 2 and 4 years. Here, with an 8-year followup in 290 subjects, we show a global decrease of 2.3% per year for men and 3.9% per year for women. However, in approximately 30% of cases, there was an increase of DHEAS. We observed no relationship between the evolution of DHEAS level and functional, psychological, and mental status, possibly because of selection by death. In women, no association was found between mortality and DHEAS level. In men, the relative risk (RR) of death was higher for the lowest levels of DHEAS (RR = 1.9, P = 0.007), with RR = 6.5, P = 0.003 for those under 70 years old, a result indicating heterogeneity of the population. There was an effect of subjective health on mortality that disappeared after adjustment of DHEAS levels, suggesting its relation with these DHEAS levels. Death RR was much higher in smokers with a low DHEAS level than in nonsmokers with high DHEAS (RR = 6.7, P = 0.001). We submit that the involvement of DHEAS is possibly different according to gender, that association between low DHEAS level and mortality only for men under 70 years old possibly reflects heterogeneity of the population, and that DHEAS level is a reliable predictor of death in male smokers.

LR property of non-well-formed scales

This article studies generated scales having exactly three different step sizes within the language of algebraic combinatorics on words. These scales and their corresponding step-patterns are called non well formed. We prove that they can be naturally inserted in the Christoffel tree of well-formed words. Our primary focus in this study is on the left- and right-Lyndon factorization of these words. We will characterize the non-well-formed words for which both factorizations coincide. We say that these words satisfy the LR property and show that the LR property is satisfied exactly for half of the non-well-formed words. These are symmetrically distributed in the extended Christoffel tree. Moreover, we find a surprising connection between the LR property and the Christoffel duality. Finally, we prove that there are infinitely many Christoffel–Lyndon words among the set of non-well-formed words and thus there are infinitely many generated scales having as step-pattern a Christoffel–Lyndon word.

(Table 1) Ice floe size and other characteristics during aerial observations in Prydz Bay, Antarctica

On the basis of aerial photographs of sea ice floes in the marginal ice zone (MIZ) of Prydz Bay acquired from December 2004 to February 2005 during the 21st Chinese National Antarctic Research Expedition, image processing techniques are employed to extract some geometric parameters of floes from two merged transects covering the whole MIZ. Variations of these parameters with the distance into the MIZ are then obtained. Different parameters of floe size, namely area, perimeter, and mean caliper diameter (MCD), follow three similar stages of increasing, flat and increasing again, with distance from the open ocean. Floe shape parameters (roundness and the ratio of perimeter to MCD), however, have less significant variations than that of floe size. Then, to modify the deviation of the cumulative floe size distribution from the ideal power law, an upper truncated power-law function and a Weibull function are used, and four calculated parameters of the above functions are found to be important descriptors of the evolution of floe size distribution in the MIZ. Among them, Lr of the upper truncated power-law function indicates the upper limit of floe size and roughly equals the maximum floe size in each square sample area. L0 in the Weibull distribution shows an increasing proportion of larger floes in squares farther from the open ocean and roughly equals the mean floe size. D in the upper truncated power-law function is closely associated with the degree of confinement during ice breakup. Its decrease with the distance into MIZ indicates the weakening of confinement conditions on floes owing to wave attenuation. The gamma of the Weibull distribution characterizes the degree of homogeneity in a data set. It also decreases with distance into MIZ, implying that floe size distributes increase in range. Finally, a statistical test on floe size is performed to divide the whole MIZ into three distinct zones made up of floes of quite different characteristics. This zonal structure of floe size also agrees well with the trends of floe shape and floe size distribution, and is believed to be a straightforward result of wave-ice interaction in the MIZ.

The cluster variable RR Lyrae.

Signed: C.C. Kiess.

Il santuario di Maria SS. di Gibilmanna : convento dei RR. PP. Cappuccini in territorio di Cefalù /

Cover title: Storia del santuario di Gibilmanna.