For Riemannian manifolds there are several examples which are isospectral but not isometric, see e.g. J. Milnor [12]; in the present paper, we investigate pairs of domains in R2 which are isospectral but not congruent. All known such counter examples to M. Kac’s famous question can be constructed by a certain tiling method (“transplantability”) using special linear operator groups which act 2-t...

Measurement of nonhomogeneous special nuclear material using passive gamma techniques is difficult because it is not practical to develop standards with the characteristics of the samples. Each sample is different. And the samples must be measured nondestructively. Modeling methods must be used. The modeling methods assume homogenous distribution of radioactive and matrix material within the co...

The method of curve evolution is a popular method for recovering shape boundaries. However isotropic metrics have always been used to induce the flow of the curve and potential steady states tend to be difficult to determine numerically, especially in noisy or low-contrast situations. Initial curves shrink past the steady state and soon vanish. In this paper, anisotropic metrics are considered ...

Elucidating the spatial dynamic and core gut microbiome related to wild bar-headed goose is of crucial importance for probiotics development that may meet the demands of bar-headed goose artificial breeding industries and accelerate the domestication of this species. However, the core microbial communities in the wild bar-headed geese remain totally unknown. Here, for the first time, we present...

Until now, only income factors were considered for empowerment. But in contemporary times, most nonprofit and non-advocacy approaches, such as social capital and its components, have been taken into consideration. The World Bank has identified social capital as one of the pillars of the empowerment process. Hence, the main purpose of this paper is to examine the effect of social capital and its...

The low-frequency eigenmodes of a fractal drum are studied through experimental observation of the acoustical resonances of a fractal-shaped liquid crystal film. The resonance frequencies agree with the numerical predictions for the Laplacian eigenvalues in the fractal domain with Dirichlet boundary conditions. The amplitude distribution of the modes is detected by scanning the excitation posit...

Research has been conducted by several investigators on a new, innovative type of reinforcement, referred to as the headed bar. The development of the headed bar resulted out of the need to reduce the development length of the bar and anchor the reinforcement in a shorter length. Construction in earthquake prone regions and designing for blast or impact conditions requires dense reinforcement c...