The modified $F(R)$ gravity theory with the function $F(R)=-(1/\beta)\ln(1-\beta R)$ is studied. action at small coupling $\beta$ becomes Einstein--Hilbert action. bound on parameter from local tests $\beta\leq 2\times 10^{-6}$ cm$^2$. We find constant curvature solutions and it was shown that de Sitter space unstable but a solution zero Ricci scalar stable. potential mass of field (scalaron) a...

We demonstrate an Nb$_{2}$O$_{5}$/$\beta$-Ga$_{2}$O$_{3}$ metal-insulator-semiconductor (MIS) hetero-junction diode with Nb$_{2}$O$_{5}$ as the high-k dielectric insulator for more efficient electric field management resulting in enhanced breakdown characteristics compared to a $\beta$-Ga$_{2}$O$_{3}$ Schottky barrier diode. The films were grown using atomic layer deposition and exhibited high ...

Let $f \in L^{2}(\mathbb{R}^n)$ and suppose we are interested in computing its average at a fixed scale. This is easy: pick the density $u_{}$ of probability distribution with mean 0 some moment desired scale compute convolution $u_{} * f$. Is there particularly natural choice for $u$? question studied space theory Gaussian popular answer. We were whether canonical $u$ can arise from new axiom:...

Background: &beta-glucans are glucose polymers with a variety of stimulatory effects on the immune system. The objective of this study was to evaluate the immune-enhancing activities of low molecular weight gamma irradiated &beta-glucan (I&beta-g) extracted from Pleurotus ostreatus in response to Pseudomonas aeruginosa infection in rats. Materials and Methods: &beta-glucan (&beta-g) powder was ...

Abstract For ? &lt; 1 3 , we consider ${C}^{\beta }\left({\mathbb{T}}^{3}\times [0,T]\right)$?> C <mml:m...

We study the following nonlinear Schr\"odinger equation with a forth order dispersion term \[ \Delta^2u-\beta\Delta u=g(u) \quad \text{in } \mathbb{R}^N \] in positive and zero mass regimes: former, $N\geq 2$ $\beta > -2\sqrt{m}$, where $m>0$ depends on $g$; latter, 3$ $\beta>0$. In either regimes, we find an infinite sequence of solutions under rather generic assumptions about if $N=2$ case, o...