Modeling pattern data series with cellular automata fails for a wide range of deterministic nonlinear spatial processes. If the latter have finite spatially-local memory, reconstructed cellular automata with infinite radius may be required. In some cases, even this is not adequate: an irreducible stochasticity remains on the shortest time scales. The underlying problem is illustrated and quanti...

We show that the Bohr radius of the polydisk D behaves asymptotically as √ (logn)/n. Our argument is based on a new interpolative approach to the Bohnenblust–Hille inequalities which allows us to prove, among other results, that the polynomial Bohnenblust–Hille inequality is subexponential.

In recent years, hydroforming process has been applied in different industries such as aerospace, automotive and military industries due to its advantages, such as high dimensional accuracy, capability of forming complicated parts and high drawing ratio. Hydrodynamic deep drawing with radial pressure is one type of hydroforming process. In this paper, forming of cylindrical cups in hydrodynamic...

different methods arising from scientific investigation for removing noise from chaotic signals have been introduced and one of their best is local projection approach. the local projection approach projects the chaotic data in the neighborhood onto the hyper-plane. selection of neighborhood radius has a direct impact on its performance. a noticeable feature associated with chaotic trajectories...

in this article, the effect of cells' radius on the behavior of wavelength switching optical filter andthe effect of the radius of the optical filters' key characteristics such as wavelength resonance onan optical filter based on photonic crystals, have been investigated. currently, the most commonapplied mechanism for designing optical filter based on photonic crystals is using twomechanisms s...