The problem of extrapolating the perturbation series for dilute Fermi gas in three dimensions to unitary limit infinite scattering length and into BEC region is considered, using available strong-coupling information constrain extrapolation problem. In this constrained (CEP), goal find classes approximants that give well-converged results already low perturbative truncation orders. First, it sh...

in this paper, boundary value problems of fractional order are converted into an optimal control problems. then an approximate solution is constructed from translations and dilations of a b-spline function such that the exact boundary conditions are satisfied. the fractional differential operators are taken in the riemann-liouville and caputo sense. several example are given and the optimal err...

We give a complete solution to the G-closure problem for mixtures of two well ordered possibly anisotropic conductors. Both the G-closure with fixed volume fractions and the full G-closure are computed. The conductivity tensors are considered in a fixed frame and no rotations are allowed.

When solving spatial problems, people often spontaneously produce hand gestures. Recent research has shown that our knowledge is shaped by the interaction between our body and the environment. In this article, we review and discuss evidence on: 1) how spontaneous gesture can reveal the development of problem solving strategies when people solve spatial problems; 2) whether producing gestures ca...