In this paper, we continue to consider the generalized Liouville system: $$\begin{aligned} \Delta _g u_i+\sum _{j=1}^n a_{ij}\rho _j\left( \frac{h_j e^{u_j}}{\int _M h_j e^{u_j}dV_g}- {1} \right) =0\quad \text {in }M,\quad i\in I=\{1,\ldots ,n\}, \end{aligned}$$ where (M, g) is a Riemann surface M with volume 1, $$h_1,\ldots ,h_n$$ are positive $$C^3$$ functions, $$dV_g$$ form, and $$\rho _j\in...

We carry out numerical simulations to study transport behavior about the jamming transition of a model granular material in two dimensions at zero temperature. Shear viscosity eta is computed as a function of particle volume density rho and applied shear stress sigma, for diffusively moving particles with a soft core interaction. We find an excellent scaling collapse of our data as a function o...

16 Perry, R. P., ibid., 20, 216 (1960). 17 Feinendegen, L. E., V. P. Bond, and R. B. Painter, ibid., 22, 381 (1961). 18 Woods, P. S., and J. H. Taylor, Lab. Investigation, 8, 309 (1959). 19 Goldstein, L., and J. Micou, J. Biochem. Biophys. Cyt., 6, 301 (1959). 20 Pelling, G., Nature, 184, 655 (1959). 21 King, R. C., and G. J. Falk, J. Biochem. Biophys. Cyt., 8, 550 (1960). 22 Woods, P. S., Broo...

Charcot-Marie-Tooth (CMT) disorders are a clinically and genetically heterogeneous group of hereditary motor and sensory neuropathies characterized by muscle weakness and wasting, foot and hand deformities, and electrophysiological changes. The CMT4H subtype is an autosomal recessive demyelinating form of CMT that was recently mapped to a 15.8-Mb region at chromosome 12p11.21-q13.11, in two con...

With the new measurements of $X(3872)\ensuremath{\rightarrow}J/\ensuremath{\psi}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ from LHCb Collaboration, in addition to dominant contribution ${\ensuremath{\rho}}^{0}$ meson, we perform a theoretical study on $\ensuremath{\omega}$ meson and $X(3872)\ensuremath{\rightarrow}J/\ensuremath{\psi}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ens...

In the present paper, we introduces the notion of integral type contractive mapping with respect to ordered S-metric space and prove some coupled common fixed point results of integral type contractive mapping in ordered S-metric space. Moreover, we give an example to support our main result.

‎In this paper, based on [A. Razani, V. Rako$check{c}$evi$acute{c}$ and Z. Goodarzi, Nonself mappings in modular spaces and common fixed point theorems, Cent. Eur. J. Math. 2 (2010) 357-366.] a fixed point theorem for non-self contraction mapping $T$ in the modular space $X_rho$ is presented. Moreover, we study a new version of Krasnoseleskii's fixed point theorem for $S+T$, where $T$ is a cont...

Allelic association between pairs of loci is derived in terms of the association probability rho as a function of recombination theta, effective population size N, linear systematic pressure v, and time t, predicting both rho(rt), the decrease of association from founders and rho(ct), the increase by genetic drift, with rho(t) = rho(rt) + rho(ct). These results conform to the Malecot equation, ...

In this work, we adopt the $^{3}{P}_{0}$ model to investigate strong decays of low-lying doubly bottom baryons in $j\ensuremath{-}j$ coupling scheme systematically. scheme, construct formulism under spectator assumption, and then heavy diquark symmetry is preserved automatically. Our results show that some $\ensuremath{\lambda}$-mode ${\mathrm{\ensuremath{\Xi}}}_{bb}(1P)$ ${\mathrm{\ensuremath{...