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.

L'assioma della scelta e il paradosso di Banach-Tarski

La tesi tratta della formulazione dell'assioma della scelta fatta da Zermelo e di alcune sue forme equivalenti. Inoltre si parlerà della sua storia, delle critiche che gli sono state mosse e degli importanti teoremi che seguono direttamente dall'assioma. Viene anche trattato il paradosso di Hausdorff che introduce il problema della misura e il paradosso di Banach-Tarscki.

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.

Spectral synthesis and topologies on ideal spaces for Banach *-algebras

This paper continues the study of spectral synthesis and the topologies τ∞ and τr on the ideal space of a Banach algebra, concentrating on the class of Banach *-algebras, and in particular on L1-group algebras. It is shown that if a group G is a finite extension of an abelian group then τr is Hausdorff on the ideal space of L1(G) if and only if L1(G) has spectral synthesis, which in turn is equivalent to G being compact. The result is applied to nilpotent groups, [FD]−-groups, and Moore groups. An example is given of a non-compact, non-abelian group G for which L1(G) has spectral synthesis. It is also shown that if G is a non-discrete group then τr is not Hausdorff on the ideal lattice of the Fourier algebra A(G).

Spectral synthesis for Banach Algebras II

This paper continues the study of spectral synthesis and the topologies tau-infinity and tau-r on the ideal space of a Banach algebra, concentrating particularly on the class of Haagerup tensor products of C*-algebras. For this class, it is shown that spectral synthesis is equivalent to the Hausdorffness of tau_infinity. Under a weak extra condition, spectral synthesis is shown to be equivalent to the Hausdorffness of tau_r.

Endomorphisms of Banach algebras of infinitely differentiable functions

In this note we study the endomorphisms of certain Banach algebras of infinitely differentiable functions on compact plane sets, associated with weight sequences M. These algebras were originally studied by Dales, Davie and McClure. In a previous paper this problem was solved in the case of the unit interval for many weights M. Here we investigate the extent to which the methods used previously apply to general compact plane sets, and introduce some new methods. In particular, we obtain many results for the case of the closed unit disc. This research was supported by EPSRC grant GR/M31132

Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces

There are two main aims of the paper. The first one is to extend the criterion for the precompactness of sets in Banach function spaces to the setting of quasi-Banach function spaces. The second one is to extend the criterion for the precompactness of sets in the Lebesgue spaces $L_p(\Rn)$, $1 \leq p < \infty$, to the so-called power quasi-Banach function spaces. These criteria are applied to establish compact embeddings of abstract Besov spaces into quasi-Banach function spaces. The results are illustrated on embeddings of Besov spaces $B^s_{p,q}(\Rn)$, $0

Teorema del punto fijo de Banach y algunas aplicaciones

El teorema del punto fijo es aplicable a un tipo especial de sucesiones; dicho teorema es utilizado en muchas ciencias aplicadas (economía, ingeniería, informática) así como en las ciencias fundamentales (física, química, biología, etc.). El trabajo investiga la teoría del punto fijo y algunas aplicaciones del Teorema del Punto Fijo de Banach, para elaborar un documento en el que se presenten algunas aplicaciones y la teoría del punto fijo.

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.

What You Need To Know About Radon And Your Health

This brochure discusses these topics concerning radon: What Is Radon?, Health Effects Of Radon, Radon Action Level, How Much Radon In A Home Is Safe?, What Do I Do If I Have A Radon Problem?, Major Radon Entry Routes, How Do I Know If I Have A Radon Problem?, Where Should I Test?, Retesting For Radon and Radon in Water.

EPA Radon Risk Assessment Table for Smokers and Non-Smokers

This chart gives the long term effects of radon on smokers and non-smokers.

Radon Mitigation : Checking Your Contractor’s Work

This is a list of some basic installation requirements and recommendations that your contractor should meet when installing a radon reduction system in your home.

variazione delle misurazioni della concentrazione del radon in presenza di anidride carbonica

Questa tesi analizza il problema della variazione delle misurazioni della concentrazione del Radon in presenza di anidride carbonica e fornisce varie soluzioni al problema.