Radon, a naturally occurring radioactive element, was discovered in the year 1900, and high lung cancer rates among miners were recognized hundreds of years before that, but it wasn’t until the 1950s that researchers accepted that exposure to radon decay products was one of the major causes of the very high lung cancer rate among miners. Risks to the general population weren’t recognized until ...

We consider two singular limits: a fast reaction limit with non-monotone nonlinearity and regularization of the forward-backward diffusion equation. derive pointwise identities satisfied by Young measure generated these problems. As result, we obtain an explicit formula for even without non-degeneracy assumption used in previous works. The main new idea is application Radon–Nikodym theorem to d...

Background: In this study are submitted the radon concentration measurement results of four underground mines: Stanterg, Artana, Hajvali and Badovc, which are owned by Trepça Enterprise, Kosovo. The mines have the same geological formation and from these mines are extracted ores rich with lead, zinc, silver, and gold. The radiation exposures caused by radon and radon daughters was determ...

We prove two limit relations between Schrödinger operators perturbed by measures. First, weak convergence of finite real-valued Radon measures µ n −→ m implies that the operators −∆ + ε 2 ∆ 2 + µ n in L 2 (R d , dx) converge to −∆ + ε 2 ∆ 2 + m in the norm resolvent sense, provided d ≤ 3. Second, for a large family, including the Kato class, of real-valued Radon measures m, the operators −∆ + ε...

A two-screen sampler (an effective dosimeter), with a collection efficiency matched to the particle size response of the radon progeny dose conversion factors (DCF), obtained from the ICRP respiratory tract model as implemented in the computer code RADEP, has been developed to assess the inhalation dose from exposure to radon progeny. In order to evaluate the performance of this sampler, the se...

Araci et al. introduced a $$p$$ -adic $$(\rho,q)$$ -analogue of the Haar distribution. By means distribution, they constructed -Volkenborn integral. In this paper, by virtue Mahler expansion continuous functions, author gives Radon-Nikodym theorem with respect to -distribution on $$\Bbb Z_p$$ .

This paper is devoted to a systematic study of certain geometric integral inequalities which arise in continuum combinatorial approaches $L^p$-improving for Radon-like transforms over polynomial submanifolds intermediate dimension. The desired relate and extend number important results measure theory.