Fractional Calculus of P-transforms

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

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.

Equivalence Between K-functionals Based on Continuous Linear Transforms

2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10.

SO(2,1)-Invariant Double Integral Transforms and Formulas for the Whittaker Functions

MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40

On Some Generalizations of Classical Integral Transforms

MSC 2010: 44A15, 44A20, 33C60

The Engaged University: Providing a Platform for Research That Transforms Society

Despite a growing recognition that the solutions to current environmental problems will be developed through collaborations between scientists and stakeholders, substantial challenges stifle such cooperation and slow the transfer of knowledge. Challenges occur at several levels, including individual, disciplinary, and institutional. All of these have implications for scholars working at academic and research institutions. Fortunately, creative ideas and tested models exist that provide opportunities for conversation and serious consideration about how such institutions can facilitate the dialogue between scientists and society

The Hippo effector TAZ (WWTR1) transforms myoblasts and its abundance is associated with reduced survival in embryonal rhabdomyosarcoma

Acknowledgements This study was funded by Sarcoma UK, Friends of Anchor and the Medical Research Council grant number 99477 awarded to HW and PSZ. This work was also supported, in part, by NHS funding to the NIHR Biomedical Research Centre at The Royal Marsden and the Institute of Cancer Research, and the Chris Lucas Trust, UK. We also thank the CCLG Tissue Bank for access to samples, and contributing CCLG centres, including members of the ECMC paediatric network. The CCLG Tissue Bank is funded by Cancer Research UK and CCLG. In addition we would like to thank Prof KunLiang Guan and Prof Malcolm Logan for kindly providing constructs

The Hippo effector TAZ (WWTR1) transforms myoblasts and TAZ abundance is associated with reduced survival in embryonal rhabdomyosarcoma

Acknowledgements This study was funded by Sarcoma UK, Friends of Anchor and the Medical Research Council grant number 99477 awarded to HW and PSZ. This work was also supported, in part, by NHS funding to the NIHR Biomedical Research Centre at The Royal Marsden and the Institute of Cancer Research, and the Chris Lucas Trust, UK. We also thank the CCLG Tissue Bank for access to samples, and contributing CCLG centres, including members of the ECMC paediatric network. The CCLG Tissue Bank is funded by Cancer Research UK and CCLG. In addition we would like to thank Prof KunLiang Guan and Prof Malcolm Logan for kindly providing constructs

Radon 222 and Radium 226 measured on water bottle samples during POLARSTERN cruise ARK-XXVI/3 (TransArc)

Air-sea gas exchange plays a key role in the cycling of greenhouse and other biogeochemically important gases. Although air-sea gas transfer is expected to change as a consequence of the rapid decline in summer Arctic sea ice cover, little is known about the effect of sea ice cover on gas exchange fluxes, especially in the marginal ice zone. During the Polarstern expedition ARK-XXVI/3 (TransArc, August/September 2011) to the central Arctic Ocean, we compared 222Rn/226Ra ratios in the upper 50 m of 14 ice-covered and 4 ice-free stations. At three of the ice-free stations, we find 222Rn-based gas transfer coefficients in good agreement with expectation based on published relationships between gas transfer and wind speed over open water when accounting for wind history from wind reanalysis data. We hypothesize that the low gas transfer rate at the fourth station results from reduced fetch due to the proximity of the ice edge, or lateral exchange across the front at the ice edge by restratification. No significant radon deficit could be observed at the ice-covered stations. At these stations, the average gas transfer velocity was less than 0.1 m/d (97.5% confidence), compared to 0.5-2.2 m/d expected for open water. Our results show that air-sea gas exchange in an ice-covered ocean is reduced by at least an order of magnitude compared to open water. In contrast to previous studies, we show that in partially ice-covered regions, gas exchange is lower than expected based on a linear scaling to percent ice cover.

Influencing effect of heat-treatment on radon emanation and exhalation characteristic of red mud

The reuse of industrial by-products is important for members of numerous industrial sectors. However, though the benefits of reuse are evident from an economical point of view, some compounds in these materials can have a negative effect on users' health.In this study, the radon emanation and exhalation features of red mud were surveyed using heat-treatment (100-1200 °C). As a result of the 1200°C-treated samples, massic radon exhalation capacity reduced from 75 ± 10 mBq kg^-1 h^-1 to 7 ± 4 mBq kg^-1 h^-1, approximately 10% of the initial exhalation rate.To find an explanation for internal structural changes, the porosity features of the heat-treated samples were also investigated. It was found that the cumulative pore volume reduced significantly in less than 100 nm, which can explain the reduced massic exhalation capacity in the high temperature treated range mentioned above.SEM snapshots were taken of the surfaces of the samples as visual evidence for superficial morphological changes. It was found that the surface of the high temperature treated samples had changed, proving the decrement of open pores on the surface.

Radon: indicative atlas for Northern Ireland

Radon Affected Area potential in Northern Ireland was estimated using a joint mapping method. This method allows variation of radon potential both between and within geological units. The estimates are based on the results of radon measurements and geological information for more than 23,000 homes. Elevated radon potential is presented here as indicative maps based on the highest radon potential for each 1 kilometre square of the Irish grid. The full definitive detail is published as a digital dataset for geographical information systems, which can be licensed. The estimated radon potential for an individual home can be obtained through the Public Health England (PHE) UKradon website. The work was partially funded by the Northern Ireland Environment Agency and was prepared jointly by PHE and the British Geological Survey. This report replaces the 2009 review and atlas (HPA-RPD-061).

Uno studio analitico ed algebrico della trasformata di Radon ed alcune sue applicazioni

Lo scopo di questa tesi si articola in tre punti. In primo luogo, ci proponiamo di definire, sia in ambito analitico che in un contesto più algebrico e geometrico, la trasformata di Radon, di discutere la possibilità di un'eventuale generalizzazione a spazi non euclidei, e di presentare le sue proprietà più caratteristiche. In secondo luogo vogliamo dimostrare, sfruttando un collegamento di questa con la trasformata di Fourier, che la trasformata di Radon è un'applicazione iniettiva tra spazi funzionali e che è dunque invertibile, per poi descrivere uno dei possibili metodi formali di inversione. Accenneremo anche alle problematiche che insorgono nell'utilizzare l'antitrasformata di Radon in situazioni reali, e alle relative soluzioni. Infine, concluderemo la trattazione con una breve ma, ottimisticamente, delucidatrice, introduzione ad alcuni esempi di applicazione della trasformata di Radon a vari ambiti fisici e matematici.

Radon in Groundwater of the Northeastern Gran Canaria Aquifer

[EN]Rn has been detected in 28 groundwater samples from the northeast of Gran Canaria (Canary Islands, Spain) utilizing a closed loop system consisting of an AlphaGUARD monitor that measures radon activity concentration in the air by means of an ionization chamber, and an AquaKIT set that transfers dissolved radon in the water samples to the air within the circuit. Radon concentration in the water samples studied varies between 0.3 and 76.9 Bq/L. Spanish radiological protection regulations limit the concentration of 222Rn for drinking water to 100 Bq/L, therefore the values obtained for all the analyzed samples are below this threshold. The hydrogeological study reveals a significant correspondence between the radon activity concentration and the material characteristics of the aquifer.

Assessing land–ocean connectivity via submarine groundwater discharge (SGD) in the Ria Formosa Lagoon (Portugal): combining radon measurements and stable isotope hydrology

Natural radioactive tracer-based assessments of basin-scale submarine groundwater discharge (SGD) are well developed. However, SGD takes place in different modes and the flow and discharge mechanisms involved occur over a wide range of spatial and temporal scales. Quantifying SGD while discriminating its source functions therefore remains a major challenge. However, correctly identifying both the fluid source and composition is critical. When multiple sources of the tracer of interest are present, failure to adequately discriminate between them leads to inaccurate attribution and the resulting uncertainties will affect the reliability of SGD solute loading estimates. This lack of reliability then extends to the closure of local biogeochemical budgets, confusing measures aiming to mitigate pollution. Here, we report a multi-tracer study to identify the sources of SGD, distinguish its component parts and elucidate the mechanisms of their dispersion throughout the Ria Formosa – a seasonally hypersaline lagoon in Portugal. We combine radon budgets that determine the total SGD (meteoric + recirculated seawater) in the system with stable isotopes in water (δ2H, δ18O), to specifically identify SGD source functions and characterize active hydrological pathways in the catchment. Using this approach, SGD in the Ria Formosa could be separated into two modes, a net meteoric water input and another involving no net water transfer, i.e., originating in lagoon water re-circulated through permeable sediments. The former SGD mode is present occasionally on a multi-annual timescale, while the latter is a dominant feature of the system. In the absence of meteoric SGD inputs, seawater recirculation through beach sediments occurs at a rate of  ∼  1.4  ×  106 m3 day−1. This implies that the entire tidal-averaged volume of the lagoon is filtered through local sandy sediments within 100 days ( ∼  3.5 times a year), driving an estimated nitrogen (N) load of  ∼  350 Ton N yr−1 into the system as NO3−. Land-borne SGD could add a further  ∼  61 Ton N yr−1 to the lagoon. The former source is autochthonous, continuous and responsible for a large fraction (59 %) of the estimated total N inputs into the system via non-point sources, while the latter is an occasional allochthonous source capable of driving new production in the system.