An n-ary k-radius sequence is a finite sequence of elements taken from an alphabet of size n such that any two distinct elements of the alphabet occur within distance k of each other somewhere in the sequence. These sequences were introduced by Jaromczyk and Lonc to model a caching strategy for computing certain functions on large data sets such as medical images. Let fk(n) be the shortest leng...

A simple model of extra-dimensional radius stabilization in a supersymmetric Randall-Sundrum model is presented. In our model, we introduce only a bulk hypermultiplet and source terms on each boundary branes. With an appropriate choice of model parameters, we find that the radius can be stabilized by supersymmetric vacuum conditions. Since the radion mass can be much larger than the gravitino m...

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...