A Brief Story about the Operators of the Generalized Fractional Calculus

2000 Mathematics Subject Classification: 26A33, 33C60, 44A20

Fractional Calculus of P-transforms

MSC 2010: 44A20, 33C60, 44A10, 26A33, 33C20, 85A99

A Poster about the Recent History of Fractional Calculus

MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22

A Poster about the Old History of Fractional Calculus

MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22

Professor Rudolf Gorenflo and his Contribution to Fractional Calculus

MSC 2010: 26A33 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversary

Matrix-Variate Statistical Distributions and Fractional Calculus

MSC 2010: 15A15, 15A52, 33C60, 33E12, 44A20, 62E15 Dedicated to Professor R. Gorenflo on the occasion of his 80th birthday

APP controls the formation of PI(3,5)P2 vesicles through its binding of the PIKfyve complex

Phosphoinositides are signalling lipids that are crucial for major signalling events as well as established regulators of membrane trafficking. Control of endosomal sorting and endosomal homeostasis requires phosphatidylinositol-3-phosphate (PI(3)P) and phosphatidylinositol-3,5-bisphosphate (PI(3,5)P2), the latter a lipid of low abundance but significant physiological relevance. PI(3,5)P2 is formed by phosphorylation of PI(3)P by the PIKfyve complex which is crucial for maintaining endosomal homeostasis. Interestingly, loss of PIKfyve function results in dramatic neurodegeneration. Despite the significance of PIKfyve, its regulation is still poorly understood. Here we show that the Amyloid Precursor Protein (APP), a central molecule in Alzheimer’s disease, associates with the PIKfyve complex (consisting of Vac14, PIKfyve and Fig4) and that the APP intracellular domain directly binds purified Vac14. We also show that the closely related APP paralogues, APLP1 and 2 associate with the PIKfyve complex. Whether APP family proteins can additionally form direct protein–protein interaction with PIKfyve or Fig4 remains to be explored. We show that APP binding to the PIKfyve complex drives formation of PI(3,5)P2 positive vesicles and that APP gene family members are required for supporting PIKfyve function. Interestingly, the PIKfyve complex is required for APP trafficking, suggesting a feedback loop in which APP, by binding to and stimulating PI(3,5)P2 vesicle formation may control its own trafficking. These data suggest that altered APP processing, as observed in Alzheimer’s disease, may disrupt PI(3,5)P2 metabolism, endosomal sorting and homeostasis with important implications for our understanding of the mechanism of neurodegeneration in Alzheimer’s disease.

Generalized Fractional Calculus, Special Functions and Integral Transforms: What is the Relation?

Виржиния С. Кирякова - В този обзор илюстрираме накратко наши приноси към обобщенията на дробното смятане (анализ) като теория на операторите за интегриране и диференциране от произволен (дробен) ред, на класическите специални функции и на интегралните трансформации от лапласов тип. Показано е, че тези три области на анализа са тясно свързани и взаимно индуцират своето възникване и по-нататъшно развитие. За конкретните твърдения, доказателства и примери, вж. Литературата.

Calculus of Variations with Classical and Fractional Derivatives

MSC 2010: 49K05, 26A33

Dr. Rene Price (FCE LTER co-PI) installing a meteorological tower, Taylor Slough

This material is based upon work supported by the National Science Foundation through the Florida Coastal Everglades Long-Term Ecological Research program under Cooperative Agreements #DBI-0620409 and #DEB-9910514. This image is made available for non-commercial or educational use only.

A search for an exotic meson in the gamma + P decaying to delta++ + pi- + eta reaction

A Partial Waves Analysis (PWA) of γp → Δ ++X → pπ+ π - (η) data taken with the CLAS detector at Jefferson Lab is presented in this work. This reaction is of interest because the Δ++ restricts the isospin of the possible X states, leaving the PWA with a smaller combination of partial waves, making it ideal to look for exotic mesons. It was proposed by Isgur and Paton that photoproduction is a plausible source for the Jpc=1–+ state through flux tube excitation. The π1(1400) is such a state that has been produced with the use of hadron production but it has yet to be seen in photoproduction. A mass independent amplitude analysis of this channel was performed, followed by a mass dependent fit to extract the resonance parameters. The procedure used an event-based maximum likelihood method to maintain all correlations in the kinematics. The intensity and phase motion is mapped out for the contributing signals without requiring assumptions about the underlying processes. The strength of the PWA is in the analysis of the phase motion, which for resonance behavior is well defined. In the data presented, the ηπ– invariant mass spectrum shows contributions from the a0(980) and a2(1320) partial waves. No π1 was observed under a clear a2 signal after the angular distributions of the decay products were analyzed using an amplitude analysis. In addition, this dissertation discusses trends in the data, along with the implemented techniques.

Qualidade dos serviços hoteleiros: percepções dos turistas de negócios de Teresina-PI

Business tourism is one of tourist segments with different market characteristics in relation to others segmentations, such as low seasonality, there is no requirement of natural attractions, it serves as destination projection and it generates profitable larger numbers. Due to the context around business travels, the hotel so many times has a fundamental whole among the elements of the production chain in this segmentation. Business tourism in Teresina is the primary segmentation of the capital, since it represents almost 70% of hotel demand; hence this research has as objective to evaluate through the perceptions of business travelers, the level of quality services of hotels of Teresina. The research is exploratory and descriptive, of functionalist character. This study is characterized by qualitative and quantitative research, supported by a basis of methodological pluralism. For primary data collection was performed applying a suitable research instrument of SERVPERF model (Service Performance). The universe of this study were Teresina's accommodations, restricted to only those that fit in hotel category and it was inside metropolitan area of Teresina. The study subjects were business travelers who were hosted in these hotels. For the analysis, it was considered certain factors: descriptive analysis, factor analysis, correlation matrix analysis of the variables; It was still compiling a graphic of lexicons obtained in the survey about respondent's the notion of quality of vision in the hotel service; Finally, qualitative analysis was based on the theories of marketing, targeting and quality of tourism services applied. The results show that the Teresina hotel service is on a regular average, especially for Reliability and Safety dimensions were highlighted. Whereas, the factor analysis showed the emergence of two factors to explain "Empathy" dimension, one of this is about the organization and the other one is about consumer. And by Lexicometria was possible to observe the importance to the customer of other variables such as: personal aspects, price and location for this tour segmentation.

Análise da variabilidade climática sobre a produtividade da soja no município de Bom Jesus (PI)

The climate is still main responsible for the variations soybean productivity (Glycine max (L.) Merrill), exerting a limiting action on these agricultural systems. The bomjesuense cerrado, this culture has proved, over the years, an increase of cultivated areas, however, productivity does not keep the same pace, going through periods of oscillations. Thus, although the crop is added to high technology, culture has great vulnerability to climatic adversities. Thus, the present study aims to analyze possible trends in meteorological variables, which can influence the soybean yield in Bom Jesus. For this purpose, different datasets were used, as follows: i) two periods of daily data (1984-2014 and 1974-2014), both obtained from the National Meteorological Institute (INMET); ii) climate normals from 1961-1990 as defined by INMET; iii) local agricultural production data of soybean-year (1997/1998 to 2012/2013) obtained from the Municipal Agricultural Production (PAM) dataset, which is management by Brazilian Institute of Geography and Statistics (IBGE). The analysis procedures included calculations of climate normals for 1984 to 2014 period and some statistical applications, as follows: i) the Wilcoxon test, used to evaluate differences between climate normals (1961 to 1990 and 1984 to 2014); ii) the Mann-Kendall nonparametric test, in order to analyze the linear trend of agrometeorological variables (rainfall, maximum temperature, minimum temperature and diurnal range of temperature; iii) cluster analysis by Ward method and the Spearman correlation test (rs) to identify the relationship between agrometeorological variable and soybean annual productivity. We adopted a statistical significance level of 5%. The results indicate changes in seasonality of the 1984-2014 climatology with respect to past climatology for all variables analyzed, except for insolation and precipitation. However, the monthly analysis of precipitation indicate negative trend during October and positive trend in December, causing a delay in start of rainy season. If this trend is persistent this result must be considered in futures definitions of the soybean crop sowing date over the region studied. With Mann-Kendall test was possible to identify positive trends with statistical significance in maximum temperature for all month forming part of soybean cycle (from November to April), which in turn tends to cause adverse effects on crop physiology, and consequently impacts on the final yield. Was identified a significant positive correlation between soybean yield and precipitation observed in March, thus precipitation deficit in this month is harmful to the soybean crop development. No statistically significant correlation was identified among maximum temperature, minimum temperature, and DTR with annual soybean productivity due these range of meteorological variables are not limiting factors in the final soybean yield in Bom Jesus (PI). It is expected that this study will contribute to propose planning strategies considering the role of climate variability on soybean crop final yield.

I terremoti storici hanno fatto più danni nella parte nord-occidentale di Bologna: ricerca di una spiegazione geofisica per questo fenomeno

Dallo studio della sismicità storica della città di Bologna (Guidoboni e Boschi, 2003) emerge che la maggior parte dei danni causati dai terremoti è concentrata nella parte Nord e Nord-Ovest della città, a nord delle attuali vie S. Donato e S. Isaia. In questo lavoro abbiamo studiato la risposta sismica in diversi siti del centro storico di Bologna, per capirne il comportamento in caso di terremoto e verificare se i risultati fossero compatibili con i dati storici. È stata effettuata una campagna di misure geofisiche: 52 con tecnica passiva a stazione singola HVSR per misurare le frequenze di amplificazione dei sottosuoli (47 all’interno delle mura), 5 in array per misurare l’andamento delle velocità delle onde di taglio nel sottosuolo (tutte all’interno delle mura). 22 delle 47 misure H/V mostrano amplificazione nell’intervallo di frequenze tra 1 e 10 Hz, quello di interesse per le strutture del centro storico. Le cause di queste amplificazioni si ipotizzano essere un livello ghiaioso a circa 10-15 m di profondità (Fiori, 2002) in approfondimento da centro città verso est, e un livello sabbioso a circa 10 m di profondità (Amorosi, 2014). Le misure in array, invece, indicano sostanzialmente che l’estremità orientale della città storica ha rigidezze maggiori a profondità maggiori di 50 m. Il dato derivante dalla sismologia storica, in sintesi, non pare essere completamente supportato da evidenze geologiche o geofisiche: la risposta sismica all’interno delle mura di Bologna varia leggermente da punto a punto, ma senza mostrare trend applicabili ad estese macroaree. Solo l’estremo Nord-Est della città ha un comportamento amplificativo più omogeneo (amplificazione a 1-3 Hz) in linea con la geologia locale, che presenta livelli marcatamente ghiaiosi sotto i 15 m di profondità. La variabilità geologica e di risposta sismica locale è stata verificata essere molto maggiore fuori dalle mura di cinta della città.