The Freud ensemble of random matrices is the unitary invariant corresponding to weight $\exp(-n |x|^{\beta})$, $\beta>0$, on real line. We consider local behaviour eigenvalues near zero, which exhibits a transition in $\beta$. If $\beta\ge 1$, it described by standard sine process. Below critical value $\beta=1$, process depending $\beta$, and we determine first two terms large gap probability ...

Consider $\beta > 1$ and $\lfloor \beta \rfloor$ its integer part. It is widely known that any real number $\alpha \in \Bigl[0, \frac{\lfloor \rfloor}{\beta - 1}\Bigr]$ can be represented in base $\beta$ using a development series of the form = \sum_{n 1}^\infty x_n\beta^{-n}$, where $x (x_n)_{n \geq 1}$ sequence taking values into alphabet $\{0,\; ...\; ,\; \lfloor \rfloor\}$. The so called $\...

The maximum sustainable amplitude, so-called wave breaking limit, of a nonlinear plasma in arbitrary mass ratio warm plasmas is obtained the non-relativistic regime. Using method Sagdeev potential, general formula derived by taking into account dynamics both species having finite temperature. It found that amplitude decreases monotonically with increase temperature β − $$ {\beta}_{-} negative (...

We consider the problem of estimating the scale parameter &beta of a rescaled F-distribution when &beta has a lower bounded constraint of the form &beta&gea, under the entropy loss function. An admissible minimax estimator of the scale parameter &beta, which is the pointwise limit of a sequence of Bayes estimators, is given. Also in the class of truncated linear estimators, the admissible estim...

let $gamma_{n,kappa}$ be the class of all graphs with $ngeq3$ vertices and $kappageq2$ vertex connectivity. denote by $upsilon_{n,beta}$ the family of all connected graphs with $ngeq4$ vertices and matching number $beta$ where $2leqbetaleqlfloorfrac{n}{2}rfloor$. in the classes of graphs $gamma_{n,kappa}$ and $upsilon_{n,beta}$, the elements having maximum augmented zagreb index are determined.

The CUORE experiment is a large bolometric array searching for the lepton number violating neutrino-less double beta decay ($0\nu\beta\beta$) in isotope $\mathrm{^{130}Te}$. In this work we present latest results on two searches (DBD) of $\mathrm{^{130}Te}$ to first $0^{+}_2$ excited state $\mathrm{^{130}Xe}$: $0\nu\beta\beta$ and Standard Model-allowed two-neutrinos ($2\nu\beta\beta$). Both ar...

background: hb a2 is elevated in subjects with beta thalassemia minor but small percent of carriers have normal hb a2 with elevated levels of hbf (2-10%). this type of thalassemia is called delta beta thalassemia, and can be missed in pre-marriage hematologic consults or screening which leads to increased risk of child birth with beta thalassemia major. materials and methods: in this prospectiv...

introduction: in order to study the alterations of beta 1 and 2 integrins mrna level in rat lumbar spinal cord following the induction of chronic pain and its effect on the development of tolerance to morphine analgesia, we examined the level of expression of these genes in the presence of chronic pain, which is an inhibitor of morphine tolerance. we used induction of chronic pain alone and in ...

introduction: astrocytes, the most abundant glia in the central nervous system, modulate neuronal survival and function. astrocytic functions are mediated by synthesis and secretion of wide ranges of polypeptides through mechanism (s) poorly understood. among these, tgfβs are synthesized and released by the astrocytes. in this study, the involvement of wnt signaling pathway on the synthesis of ...