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We address light propagation in segmented waveguide arrays where the refractive index is longitudinally modulated with an out-of-phase modulation in adjacent waveguides, so that the coupling strength ...
It is known that a best low-rank approximation to multi-way arrays or higher-order tensors may not exist. This is due to the fact that the set of multi-way arrays with rank at most $R$ is not closed....
A d-dimensional array of real numbers is called monotone increasing if its entries are increasing along each dimension. Given An,d , a monotone increasing d-dimensional array with n entries along each...
In this article, we propose a new general approach to constructing asymmetrical orthogonal arrays, namely the Kronecker sum. It is interesting since a lot of new mixed-level orthogonal arrays can be o...
In this paper we prove that the number of translation equivalence classes of linear recurring m-arrays over F_q with period (r,s) is(φ(rs))/(log_q(rs+1)), where φ is Euler function.

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