An extensive study was undertaken to Investigate on the overall film badge service performance with which occupational radiation, exposures are reported In Iran, The study involved the analysis of film badges exposed to x-and gamma rays and beta particles. For test exposures, x-rays between 60 and 140 KVPCo-60 gamma radiation and Sr-90 beta particles were used. The actual delivered dose equival...

The main objective of this work is to develop a pair of Lommel matrix functions suggested by the hypergeometric matrix functions and some of their properties are studied. Some properties of the hypergeometric and Bessel matrix functions are obtained.

Charge movement was measured in frog cut twitch fibers with the double Vaseline-gap technique. Steady-state inactivation of charge movement was studied by changing the holding potential from -90 mV to a level ranging from -70 to -30 mV. Q beta and Q gamma at each holding potential were separated by fitting the Q-V plot with a sum of two Boltzmann distribution functions. At -70 mV Q beta and Q g...

let $f$ be a locally univalent function on the unit disk $u$. we consider the normalized extensions of $f$ to the euclidean unit ball $b^nsubseteqmathbb{c}^n$ given by$$phi_{n,gamma}(f)(z)=left(f(z_1),(f'(z_1))^gammahat{z}right),$$ where $gammain[0,1/2]$, $z=(z_1,hat{z})in b^n$ and$$psi_{n,beta}(f)(z)=left(f(z_1),(frac{f(z_1)}{z_1})^betahat{z}right),$$in which $betain[0,1]$, $f(z_1)neq 0$ and $...

We prove that many of beta, beta prime, gamma, inverse gamma, Student tand ultraspherical distributions are freely infinitely divisible, but some of them are not. The latter negative result follows from a local property of probability density functions. Moreover, we show that the Gaussian, many of ultraspherical and Student t-distributions have free divisibility indicator 1.

We present the beta functions of gauge and Yukawa couplings in general four-dimensional quantum field theory, at four three loops, respectively. The essence our approach is fixing unknown coefficients most ansatz for beta-functions by direct calculation several simplified models. apply results to Standard Model its extension with an arbitrary number Higgs doublets provide expressions all four-l...

This paper consider the   general  forms of $(alpha,beta)$-fuzzyleft ideals (right ideals, bi-ideals, interior ideals) of an orderedsemigroup, where$alpha,betain{in_{gamma},q_{delta},in_{gamma}wedgeq_{delta}, in_{gamma}vee q_{delta}}$ and $alphaneqin_{gamma}wedge q_{delta}$. Special attention is paid to$(in_{gamma},ivq)$-left ideals (right ideals, bi-ideals, interiorideals) and some related  pr...

We give a detailed account of the theory position space renormalization using graphical functions in case dimensionally regularized ${\ensuremath{\phi}}^{4}$ four dimensions. In this we calculate beta function, mass gamma and self-energy to seven loops minimal subtraction scheme. The anomalous dimension $\ensuremath{\gamma}$ is calculated loop order eight. When possible, generalize even dimensi...