We have studied a method to obtain both three-dimensional (3-D) spatial information and spectral information of a usual polychromatic object simultaneously by making use of a specifically designed two-wavefront folding interferometer and signal processing, including synthetic aperture technique, spectral decomposition, and 3-D image retrieval. The method uses only interferometric techniques and...

The score aggregation problem is to find an aggregate scoring over all candidates given individual scores provided by different agents. This is a fundamental problem with a broad range of applications in social choice and many other areas. The simple and commonly used method is to sum up all scores of each candidate, which is called the sumup method. In this paper, we give good algebraic and ge...

a consistency criteria is given for a certain class of finite positive measures on the surfaces of the finite dimensional unit balls in a real separable hilbert space. it is proved, through a kolmogorov type existence theorem, that the class induces a unique positive measure on the surface of the unit ball in the hilbert space. as an application, this will naturally accomplish the work of kante...

In this paper we find explicit lower bounds for Dirichlet eigenvalues of a weighted quasilinear elliptic system of resonant type in terms of the eigenvalues of a single p-Laplace equation. Also we obtain asymptotic bounds by studying the spectral counting function which is defined as the number of eigenvalues smaller than a given value.

and Applied Analysis 3 Let L2 Λ be a square integrable function space with inner product and norm as follows:

Sudden cardiac death (SCD) is one of the leading causes of death. T-wave alternans (TWA), beat-tobeat alternation in T-wave amplitude, has been shown to be linked to SCD. As risk stratification methods, current TWA detectors still have bad sensitivity. These detectors focus only on the presence of TWA, but not its spatial heterogeneity on the heart , which is thought to be precursors of SCD. We...

Article history: Received 24 June 2015 Received in revised form 6 October 2015 Accepted 14 October 2015 Available online 20 October 2015