In this paper, we consider the following system $$ \left \{ \textstyle\begin{array}{ll} n_{t}+u\cdot \nabla n&=\Delta n-\nabla \cdot (n\mathcal{S}(|\nabla c|^{2}) c)-nm, \\ c_{t}+u\cdot c&=\Delta c-c+m, m_{t}+u\cdot m&=\Delta m-mn, u_{t}&=\Delta u+\nabla P+(n+m)\nabla \Phi ,\qquad u=0 \end{array}\displaystyle \right . which models process of coral fertilization, in a smoothly three-dimensional ...

a recursive-circulant $g(n; d)$ is defined to be acirculant graph with $n$ vertices and jumps of powers of $d$.$g(n; d)$ is vertex-transitive, and has some strong hamiltonianproperties. $g(n; d)$ has a recursive structure when $n = cd^m$,$1 leq c < d $ [10]. in this paper, we will find the automorphismgroup of some classes of recursive-circulant graphs. in particular, wewill find that the autom...

Carrier induced defect creation at the semiconductor-oxide interface has been known as origin of electronic device degradation for a long time, but how exactly lattice can be damaged by carriers (especially low-energy ones) remains unclear. Here we carry out real-time time-dependent density functional theory simulations on concrete $\mathrm{Si}/\mathrm{Si}{\mathrm{O}}_{2}$ interfaces to study i...

indeed has $D=b¥cdot c^{*}$ for $b^{*}=(0,¥ldots,0,1)$ and $c^{*}$ with entries $¥frac{1}{2}(¥beta_{k}-a_{k})$ . (As Jan Willems once pointed out, all the entries are constants; however, the zeros and ones are stiff structure constants, while only the last row has “soft” parameters, to be encompassed by a rank-one control matrix.) Section 1 presents a canonic decomposition of the state space of...

We estimate the mass accretion rate (MAR) of 346 clusters galaxies in HectoMAP Cluster Survey. The span redshift range $0.17-0.42$ and $M_{200}$ $\approx (0.5 - 3.5)\cdot 10^{14} M_\odot$. MAR is based on caustic technique along with a spherical infall model. Our analysis extends measurement MARs for 129 at $z<0.3$ from Infall Regions Sloan Digital Sky Survey (CIRS) Hectospec (HeCS) to $z \sim ...

Abstract We provide necessary conditions on Euclidean domains for inclusions $$W^{1,p(\cdot )}(\Omega ) \hookrightarrow L^{q(\cdot $$ W 1 , p ( · ) Ω <mml:mo...

Quantum circuits for basic mathematical functions such as the square root are required to implement scientific computing algorithms on quantum computers. Quantum circuits that are based on Clifford+T gates can be made fault tolerant in nature but the T gate is very costly to implement. As a result. reducing T-count has become an important optimization goal. Further, quantum circuits with many q...

Gaussian traffic models are capable of representing a broad variety of correlation structures, ranging from short-range dependent (e.g. Ornstein-Uhlenbeck type) to long-range dependent (e.g. fractional Brownian motion, with Hurst parameter H exceeding 1/2). This note focuses on queues fed by a large number (n) of Gaussian sources, emptied at constant service rate nc. In particular, we consider ...