Background: Hair dyes are the important materials widely used by various peoples in Iraq and other countries. The present work investigates the presence of the effective radium content and radon exhalation rate in hair dyes samples. Materials and Methods: Twenty  hair dyes  samples were collected from Iraqi markets. Sealed can technique using LR-115 type II plastic track detector s ha...

Introduction: Radon is a colorless inert gas which decay products are the main component of natural radioactive elements that are naturally produced in under layers of earth crust by decay of radium and uranium. It enters through buildings via gaps and cracks. Radon gas decay products like alpha particle can increase the incidence of lung cancer in human. Since every person sp...

The aim of these notes is to illustrate a proof of the following remarkable Theorem of Alberti (first proved in [1]). Here, when μ is a Radon measure on Ω ⊂ R, we denote by μ its absolutely continuous part (with respect to the Lebesgue measure L ), by μ := μ− μ its singular part, and by |μ| its total variation measure. Clearly, |μ|a = |μa| and |μ|s = μ. When μ = Du for some u ∈ BV (Ω,R), we wil...

We show that a Radon measure μ in R which is absolutely continuous with respect to the n-dimensional Hausdorff measure H is n-rectifiable if the so called Jones’ square function is finite μ-almost everywhere. The converse of this result is proven in a companion paper by the second author, and hence these two results give a classification of all n-rectifiable measures which are absolutely contin...

It is shown that every Radon measure on a first-countable Hausdorff space is separable provided ω1 is a precaliber of every measurable algebra. As the latter is implied by MA(ω1), the result answers a problem due to D. H. Fremlin. Answering the problem posed by D. H. Fremlin ([4], 32R(c)), we show in this note that, assuming (∗) ω1 is a precaliber of every measurable Boolean algebra, every Rado...

Background: Radon and thoron are invisible, odorless, heavy and radioactive gases which are ubiquitously present in dwellings and in the environment. In the present work, seasonal variation of indoor radon, thoron and their progeny concentrations has been studied in the dwellings of industrially polluted cities in District Faridabad, Haryana and District Mathura in Uttar Pradesh. Materials and ...

Radon-222 (also known as radon) is a relatively long-lived isotope of radon and originates from uranium present in the earth's crust. Radon-220 (also known as thoron) is a short-lived isotope of radon and originates from thorium present in the earth's crust. Fundamental properties and health hazards of these gases are compared. On the average, the thoron contribution to the total dose to the lu...

Following the pioneering work of Schapira, we consider topological Radon-type integral transforms on constructible Z-valued functions using the Euler characteristic as a measure. Contributions include: (1) application of the Schapira inversion formula to target localization and classification problems in sensor networks; (2) extension and application of the inversion formula to weighted Radon t...

Let Rα be the Riesz distribution on a simple Euclidean Jordan algebra, parametrized by α ∈ C. I give an elementary proof of the necessary and sufficient condition for Rα to be a locally finite complex measure (= complex Radon measure). Soit Rα la distribution de Riesz sur une algèbre de Jordan euclidienne simple, paramétrisée par α ∈ C. Je donne une démonstration élémentaire de la condition néc...