We construct new examples of bispectral dual Hahn polynomials, i.e., orthogonal polynomials with respect to certain superposition Christoffel and Geronimus transforms the measure which are also eigenfunctions a higher order difference operator. The have novelty that they depend on an arbitrary number continuous parameters. These first this property constructed from classical discrete families.

Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $Cleft (X, Y right )$ and its fuzzy dual space and also the  set of subgradients of a fuzzy norm are introduced. Necessary case of a proved theorem about characterization of simultaneous approximation will be extended to the fuzzy case.

‎in this paper‎, ‎first we develop the duality concept for $g$-bessel sequences‎ ‎and bessel fusion sequences in hilbert spaces‎. ‎we obtain some results about dual‎, ‎pseudo-dual ‎and approximate dual of frames and fusion frames‎. ‎we also expand every $g$-bessel ‎sequence to a frame by summing some elements‎. ‎we define the restricted isometry property for ‎$g$-frames and generalize some resu...

The entropy produced by a conventional single chaotic map based true random number generator (TRNG) is usually limited due to the finite number of Lyapunov exponents. In this work, we present a new dual entropy core TRNG architecture which is capable of producing high levels of randomness using hardware redundancy. Mathematical models of conventional and proposed TRNG architectures have been de...

According to dual process theory, there are two systems in the mind: an intuitive and automatic System 1 and a logical and effortful System 2. While many previous studies about number estimation have focused on simple heuristics and automatic processes, the deliberative System 2 process has not been sufficiently studied. This study focused on the System 2 process for large number estimation. Fi...

We compute the number of self-dual rooted maps with n edges. We also compute the number of 2-connected and 3-connected selfdual rooted maps, and show that the latter are counted by the Fine numbers. © 2013 Elsevier Ltd. All rights reserved.