Expected Logarithm and Negative Integer Moments of a Noncentral χ2-Distributed Random Variable

On Some Negative Integer Moments of Quasi-Negative-Binomial Distribution

SOME RESULTS OF MOMENTS OF UNCERTAIN RANDOM VARIABLES

Chance theory is a mathematical methodology for dealing with indeterminatephenomena including uncertainty and randomness.Consequently, uncertain random variable is developed to describe the phenomena which involveuncertainty and randomness.Thus, uncertain random variable is a fundamental concept in chance theory.This paper provides some practical quantities to describe uncertain random variable...

Integer factorization and discrete logarithm problems

These are notes for a lecture given at CIRM in 2014, for the Journées Nationales du Calcul Formel . We explain the basic algorithms based on combining congruences for solving the integer factorization and the discrete logarithm problems. We highlight two particular situations where the interaction with symbolic computation is visible: the use of Gröbner basis in Joux's algorithm for discrete lo...

Expected Number of Local Maxima of Some Gaussian Random Polnomials

A Hardware Algorithm for Variable-Precision Logarithm

This paper presents an e cient hardware algorithm for variable-precision logarithm. The algorithm uses an iterative te chnique that employs table lo kups and polynomial approximations. Compared to similar algorithms, it reduces the number of xed-pr ecision op erations by avoiding full precision computations and dynamically varying the precision of intermediate results. It also uses signi cantly...