We introduce the concept of $k$-(semi)-dilation for Liouville domains, which is a generalization symplectic dilation defined by Seidel-Solomon. prove that existence property independent fillings asymptotically dynamically convex (ADC) manifolds. construct examples with $k$-dilations, but not $k-1$-dilations all $k\ge 0$. extract invariants taking value in $\mathbb{N} \cup \{\infty\}$ domains an...

Thanks to recent advances in CNNs, solid improvements have been made in semantic segmentation of high resolution remote sensing imagery. However, most of the previous works have not fully taken into account the specific difficulties that exist in remote sensing tasks. One of such difficulties is that objects are small and crowded in remote sensing imagery. To tackle with this challenging task w...

Abstract. Sharp error estimates in terms of the fractional Laplacian and a weighted Besov norm are obtained for Pitt’s inequality by using the spectral representation with weights for the fractional Laplacian due to Frank, Lieb and Seiringer and the sharp Stein-Weiss inequality. Dilation invariance, group symmetry on a non-unimodular group and a nonlinear Stein-Weiss lemma are used to provide s...

where θ = ∇ · u is the dilation and u is the displacement. The stress tensor σ ≡ σij , where (1.3) σij = θλδij + 2Gǫij + ν1θ,tδij + ν2ǫij,t + τij . In Eq. (1.1), c denotes the free cytosolic calcium concentration, D is its effective diffusion coefficient, f(c) is the function describing calcium transport into and out of the cytosol. In Eq. (1.3), ǫij are the components of the deformation tensor...

OBJECTIVE Constrictive arterial remodeling following balloon angioplasty has been related to adventitial collagen accumulation and subsequent thickening and can be prevented by matrix metalloproteinase (MMP) inhibition. Following balloon dilation, we examined the effect of MMP inhibition on collagen turnover and the relationship between adventitial area and degree of constrictive remodeling. ...

Ventricular dilation after myocardial infarction can cause heart failure. Increasing strength and elasticity in the infarct region might prevent ventricular dilation. Because elastin provides strength, extensibility, and resilience to tissues and maintains tissue architecture, we studied the effect of elastin expression in the infarct on scar expansion and heart function. COS-7 cells transfecte...

foam injection is becoming a standard conditioning agent when tunnelling with an earth-pressure balanced shield, resulting in an increasing interest in this technique. the technique is mostly based on empirical rules and experience. to be able to determine what foam and how may foam has to be injected for different soils, it is necessary to know the mechanical parameters of the foam-water-soil ...

In this paper, we present a reconfiguration approach to identify the maximal fault-free s&cube-ring for tolerating faults in injured hypercubes. The fault-free subcube-ring is connected by a ring of fault-free subcubes with dilation 3. By exploiting the size of fault-free subcubes as large as possible, the maximal fault-free s&cube-ring with higher processor utilization is obtained. Using this ...