in this paper, we give a characterization of strongly jordan zero-product preserving maps on normed algebras as a generalization of  jordan zero-product preserving maps. in this direction, we give some illustrative examples to show that the notions of strongly zero-product preserving maps and strongly jordan zero-product preserving maps are completely different. also, we prove that the direct p...

We study minimax rates of convergence for nonparametric regression and prediction under a random design with dependent errors. It is shown that dependence among errors in general does not hurt a prediction of the next response. For estimating the regression function, however, dependence may damage the minimax rate of convergence. Under the assumption that the errors are independent of the expla...

We describe pure braided versions of Thompson’s group F . These groups, BF and B̂F , are subgroups of the braided versions of Thompson’s group V , introduced by Brin and Dehornoy. Unlike V , elements of F are order-preserving self-maps of the interval and we use pure braids together with elements of F thus preserving order. We define these groups and give normal forms for elements and describe i...

In this work we present a result on linear diffusion equations with point controls. This is the first partial result obtained along the completion of [5] which includes more general nonlinear diffusion equations. The main focus here is showing how recent variational principles based on Wasserstein metric, used to solve homogeneous diffusion equations, can actually be extended to solving nonhomo...

In our country, Student transportations’ security and driving accidents statistics for students is one of the major concerns for relevant organizations such as educational organization. In current year, a system, was named Sepand, was formed in city taxi driver ::::::union:::::: by educational organization, NAJA traffic and city taxi driver ::::::union::::::. In this systems’ plan, ...

The union of translates of a closed unit n-dimensional cube whose edges are parallel to the coordinate unit vectors e,,...,en and whose centers are te,-, |i| < fc, 1 < j' < n, is called a (k, n)-cross. A system of translates of a (fc, n)-cross is called an integer (a rational) lattice tiling if its union is n-space and the interiors of its elements are disjoint, the translates form a lattice an...

We investigate structure-preserving signatures in asymmetric bilinear groups with an efficiently computable homomorphism from one source group to the other, i.e., the Type II setting. It has been shown that in the Type I and Type III settings, structure-preserving signatures need at least 2 verification equations and 3 group elements. It is therefore natural to conjecture that this would also b...