Elementary processes in free-decaying two-dimensional (2D) turbulence are examined by extensive analyses of fine structures in the density distribution of a magnetized pure electron plasma that is linearly unstable with the initial ring-shaped profile, deforms nonlinearly into patches of vortices, and relaxes into a single-peaked stable distribution via successive mergers among the patches. The...

Given a metric space (X, d), set of terminals $$K\subseteq X$$ , and parameter $$0<\epsilon <1$$ we consider structures (e.g., spanners, distance oracles, embedding into normed spaces) that preserve distances for all pairs in $$K\times up to factor $$1+\epsilon$$ have small size (e.g. number edges dimension embeddings). While such terminal (aka source-wise) are known exist several settings, no ...

The epsilon-inflation proved to be useful and necessary in many verification algorithms. Different definitions of an epsilon-inflation are possible, depending on the context. Recently, certain theoretical justifications and optimality results were proved for an epsilon-inflation without absolute term. In this note we show that in currently used interval iterations the epsilon-inflation without ...

We have used Western blot analysis and immunocytochemistry to determine the effect of dietary K intake on the expression of protein kinase C (PKC) isoforms in the kidney. Western blot has demonstrated that conventional PKC isoforms (alpha and beta), novel PKC isoforms (delta, epsilon, and eta), and atypical PKC isoforms (zeta) are expressed in the renal cortex and outer medulla. Moreover, a low...

The renormalization group and operator product expansion are applied to the model of a passive scalar quantity advected by the Gaussian self-similar velocity field with finite, and not small, correlation time. The inertial-range energy spectrum of the velocity is chosen in the form E(k) proportional, variant k(1-2 epsilon ), and the correlation time at the wave number k scales as k(-2+eta). Ine...

Monte Carlo simulations of equilibrium selectivity of Na channels with a DEKA locus are performed over a range of radius R and protein dielectric coefficient epsilon(p). Selectivity arises from the balance of electrostatic forces and steric repulsion by excluded volume of ions and side chains of the channel protein in the highly concentrated and charged (approximately 30 M) selectivity filter r...

In this paper, we study the non-monotone adaptive submodular maximization problem subject to a cardinality constraint. We first revisit random greedy algorithm proposed in \citep{gotovos2015non}, where they show that achieves $1/e$ approximation ratio if objective function is and pointwise submodular. It not clear whether same guarantee holds under submodularity (without resorting submodularity...

To determine the efficiency of xylem conductance in the liana (woody vine) Bauhinia fassoglensis Kotschy ex Schweinf., we measured hydraulic conductance per unit stem length (measured K(h)), leaf-specific conductivity (LSC = K(h)/distal leaf area), transpiration rate (E), xylem water potential (epsilon), vessel number, and vessel diameter. The measured K(h) was 49% (se = 7%) of the predicted K(...

Recently, Dvo\v{r}\'ak, Norin, and Postle introduced flexibility as an extension of list coloring on graphs [JGT 19']. In this new setting, each vertex $v$ in some subset $V(G)$ has a request for certain color $r(v)$ its colors $L(v)$. The goal is to find $L$ satisfying many, but not necessarily all, the requests. main studied question whether there exists universal constant $\epsilon >0$ such ...