Introduction: Although there are several ways to relief pain in metastatic patients, the use of radionuclides is one of the known and effective ways to relieve the pain caused by bone metastases. The purpose of this study was to assessment of radiation dose distribution of different radioisotopes used to treatment and pain relief patients in a bone-based model based on Monte C...

Let $$r,h\in {\mathbb {N}}$$ with $$r\ge 7$$ and let $$F(x,y)\in {Z}}[x ,y]$$ be a binary form such that $$\begin{aligned} F(x , y) =(\alpha x + \beta y)^r -(\gamma \delta y)^r, \end{aligned}$$ where $$\alpha $$ $$\beta $$\gamma $$\delta are algebraic constants -\beta \gamma \ne 0$$ . We establish upper bounds for the number of primitive solutions to Thue inequality $$0<|F(x, y)| \le h$$ improv...

in this paper, we characterize multiresolution analysis(mra) parseval frame multiwavelets in l^2(r^d) with matrix dilations of the form (d f )(x) = sqrt{2}f (ax), where a is an arbitrary expanding dtimes d matrix with integer coefficients, such that |deta| =2. we study a class of generalized low pass matrix filters that allow us to define (and construct) the subclass of mra tight frame multiwav...

In this present paper, first, we investigate a new generalized Pochhammer's symbol and its various properties in terms of $(s; k)$, where $s; k &gt; 0$. Then, define generalization gamma beta functions their associated the form k)$. Also, hypergeometric develop differential equations for We that are solution said equation. Furthermore, some useful results integral representation related to thes...

The main objective of this paper is to calculate the metric dimension and resolving-domination number zero-divisor graphs direct product finite fields. Let $F_1, \ldots, F_n(n \geqslant 2)$ be We consider graph $\Gamma(R)$ ring $R=F_1 \times \cdots F_n$ $(n determine $\beta(\Gamma(R))$ $\gamma_r(\Gamma(R))$ If order each field two, then we prove that $\beta(\Gamma(R)) \leqslant n-1$ $\gamma_r(\...

1 Simple Fermi theory of beta decay 2 Beta decay is one of the most easily found kinds of radioactivity. As we have seen, this result of the weak interaction leads to conversion of a neutron into a proton or vice versa, with the necessary charge change being made possible by the emission of a positive or negative beta particle (positron or electron). To ensure conservation of lepton number, eac...

Viral infections induce CD8 T cell expansion and interferon (IFN)-gamma production for defense, but the innate cytokines shaping these responses have not been identified. Although interleukin (IL)-12 has the potential to contribute, IL-12-dependent T cell IFN-gamma has not been detected during viral infections. Moreover, certain viruses fail to induce IL-12, and elicit high levels of IFN-alpha/...

The well-known spherical-deformed-transitional nucleus and potential $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}\phantom{\rule{4pt}{0ex}}$emitter $^{150}\mathrm{Nd}\phantom{\rule{4pt}{0ex}}$and its daughter $^{150}\mathrm{Sm}\phantom{\rule{4pt}{0ex}}$were investigated in nuclear resonance fluorescence experiments using quasimonoenergetic, linearly polarized $\ensuremath{\gamma}$-ray ...