The Cigler simple derivation of the q-Carlitz-Dobinski formula is recalled and it is noticed that the formula may be interpreted as the average of powers of random variable X q with the q-Poisson distribution. In parallel new q-Cigler-Dobinski and psi-Carlitz-Dobinski formulas are introduced. At first let us anticipate with ψ-remark. ψ denotes an extension of 1 n! n≥0 sequence to quite arbitrar...

We provide an overview of the design of PSI (“a Private data Sharing Interface”), a system we are developing to enable researchers in the social sciences and other fields to share and explore privacy-sensitive datasets with the strong privacy protections of differential privacy. ∗This work is part of the “Privacy Tools for Sharing Research Data” project at Harvard, supported by NSF grant CNS-12...

let $g$ be a finite group‎. ‎we denote by $psi(g)$ the integer $sum_{gin g}o(g)$‎, ‎where $o(g)$ denotes the order of $g in g$‎. ‎here we show that‎ ‎$psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$‎, ‎where $a_5$ is the alternating group of degree $5$‎. ‎also we prove that $psi(psl(2,7))

The ability to assess the importance of secretin in various physiological processes is limited by the lack of specific potent antagonists. Recently, reduced peptide bond (psi) analogues of bombesin or substance P in which the -CONH- bond is replaced by -CH2NH- are reported to be receptor antagonists. To attempt to develop a new class of secretin receptor antagonists, we have adopted a similar s...

PSI-G is an 11 kDa subunit of PSI in photosynthetic eukaryotes. Arabidopsis thaliana plants devoid of PSI-G have a decreased PSI content and an increased activity of NADP(+) photoreduction in vitro but otherwise no obvious phenotype. To investigate the biochemical basis for the increased activity, the kinetic parameters of the reaction between PSI and plastocyanin were determined. PSI-G clearly...

The aim of this paper is to study the behaviour of certain sequence of nonlinear Durrmeyer operators $ND_{n}f$ of the form $$(ND_{n}f)(x)=intlimits_{0}^{1}K_{n}left( x,t,fleft( tright) right) dt,,,0leq xleq 1,,,,,,nin mathbb{N}, $$ acting on bounded functions on an interval $left[ 0,1right] ,$ where $% K_{n}left( x,t,uright) $ satisfies some suitable assumptions. Here we estimate the rate...

G. S. Adams, M. Anderson, J. P. Cummings, I. Danko, J. Napolitano, Q. He, J. Insler, H. Muramatsu, C. S. Park, E. H. Thorndike, T. E. Coan, Y. S. Gao, F. Liu, R. Stroynowski, M. Artuso, S. Blusk, J. Butt, J. Li, N. Menaa, R. Mountain, S. Nisar, K. Randrianarivony, R. Redjimi, R. Sia, T. Skwarnicki, S. Stone, J. C. Wang, K. Zhang, S. E. Csorna, G. Bonvicini, D. Cinabro, M. Dubrovin, A. Lincoln, ...