Assume that the potential q(r), r > 0, is known for r ≥ a > 0 and the phase shifts δl(k) are given at a fixed energy, i. e., at a fixed k > 0, for l = 0, 1, 2, . . .. The inverse scattering problem is: find q(r) on the interval 0 ≤ r ≤ a using the above data. The proposed numerical method consists of a reduction of this problem to a moment problem for q(r) on the interval r ∈ [0, a]. The moment...

Even if we disregard all those nominal expressions employed with purely connotative meaning, that is, those which do not refer to any object, and confine our attention to nouns which are names of things, it is clear that no extant lexicon contains anywhere near enough expressions of this kind to suffice even for ordinary daily life. We cannot get along with any single common noun to refer to a ...

We present a general and novel approach for the reconstruction of any convex d-dimensional polytope P , assuming knowledge of finitely many of its integral moments. In particular, we show that the vertices of an N-vertex convex polytope in R can be reconstructed from the knowledge of O(DN) axial moments (w.r.t. to an unknown polynomial measure of degree D), in d + 1 distinct directions in gener...

We examine the relation between the recently proposed time-dependent quantum Monte Carlo (TDQMC) method and the principles of stochastic quantization. In both TDQMC and stochastic quantization, particle motion obeys stochastic guidance equations to preserve quantum equilibrium. In this way the probability density of the Monte Carlo particles corresponds to the modulus square of the many-body wa...

The 4-parameter generalized lambda distribution (GLD) is a flexible distribution capable of mimicking the shapes of many distributions and data samples including those with heavy tails. The method of L-moments and the recently developed method of trimmed L-moments (TL-moments) are attractive techniques for parameter estimation for heavy-tailed distributions for which the Land TL-moments have be...

statistical frequency analysis is the most common procedure for the analysis of flood data at a gauged location thatin first step it is needed to select a model to represent the population. among them, the central moment has been themost common and widely used, and with the using of computers, the application of the maximum likelihood hasincreased. this research was carried out in order to reco...