background: testosterone and its metabolites have important roles in learning and memory. the current study has conducted to assess the effect of pre-training, post-training and pre-probe trial intrahippocampal ca1 administration of 3 alpha-anderostanediol (one of the metabolites of testosterone) and indomethacin (as 3 alpha-hydroxysteroid dehydrogenase enzyme blocker) on acquisition, consolida...

We study the behaviour of a symmetric exclusion process in presence non-Markovian stochastic resetting, where configuration system is reset to step-like profile at power-law waiting times with an exponent $\alpha$. find that resetting leads rich for currents, as well density profile. show that, any finite system, $\alpha<1$, eventually becomes uniform while $\alpha >1$, eventual non-trivial sta...

A Piatetski-Shapiro sequence with exponent $\alpha$ is a of integer parts $n^\alpha$ $(n = 1,2,\ldots)$ non-integral $\alpha > 0$. We let $\mathrm{PS}(\alpha)$ denote the set those terms. In this article, we study so that equation $ax + by cz$ has infinitely many pairwise distinct solutions $(x,y,z) \in \mathrm{PS}(\alpha)^3$, and give lower bound for its Hausdorff dimension. As corollary, find...

We consider a proper coloring of plane graph such that no face is rainbow, where rainbow if any two vertices on its boundary have distinct colors. Such said to be anti-rainbow. A quadrangulation G in which all faces are bounded by cycle length 4. In this paper, we show the number colors anti-rainbow does not exceed $$3\alpha (G)/2$$ , $$\alpha (G)$$ independence G. Moreover, minimum degree 3 or...