When an algebra is graded by a group, any additive character of the group induces a diagonalizable derivation of the ring. This construction is studied in detail for the case of a path algebra modulo relations and its fundamental group. We describe an injection of the character group into the first cohomology group following Assem-de la Peña. Rather general conditions are determined, in this co...

1 SUMMARY Lalr is a parser generator that generates very fast and powerful parsers. The design goals have been to generate portable, table-drivenparsers that areasefficient as possible and which include all the features needed for practical applications. Like Yacc it accepts LALR(1) grammars, resolves ambiguities with precedence and associativ-ity of operators, generates table-drivenp arsers, a...

Over the past decade, several security issues with Linux Random Number Generator (LRNG) on PCs and Androids have emerged. The main problem involves the process of entropy harvesting, particularly at boot time. An entropy source in the input pool of LRNG is not transferred into the non-blocking output pool if the entropy counter of the input pool is less than 192 bits out of 4098 bits. Because t...

In the context of Markov processes, we show a new scheme to derive a dual process and duality function based on a boson representation. This scheme is applicable to a case in which a generator is expressed by boson creation and annihilation operators. For some stochastic processes, duality relations have been known, which connect continuous time Markov processes with discrete state space and th...

The demand for portable power is large and expanding. Technologies currently available to meet this demand include batteries, fuel cells, thermophotovoltaic (TPV) generators and thermoelectric (TE) generators. Fuel cells and generators offer significantly improved performance over batteries, but issues of fuel processing and miniaturization remain. Microfabrication has the potential to address ...

In this paper a Monte Carlo procedure for deriving frequency distributions of extreme discharges starting from a simplified description of rainfall and surface runoff processes and using regional data is presented. The procedure is based on two modules: a stochastic rainfall generator module and a catchment response module. In the rainfall generator module the rainfall storm, i.e. the maximum r...

A diffusion process model of the frequency of a mutation • Reversibility of a 1-dimensional diffusion process • Frequency spectrum and age of a mutation General binary coalescent trees • Combinatorial derivation of the age of a mutation • Ewens' sampling formula, a combinatorial derivation • Coalescent lineage distributions Gene trees and Coalescent trees • DNA sequences and the infinitely-many...

Let H be an infinite--dimensional Hilbert space and K(H) be the set of all compact operators on H. We will adopt spectral theorem for compact self-adjoint operators, to investigate of higher derivation and higher Jordan derivation on K(H) associated with the following cauchy-Jencen type functional equation 2f(frac{T+S}{2}+R)=f(T)+f(S)+2f(R) for all T,S,Rin K(H).

Let H be an innite dimensional Hilbert space and K(H) be the set of all compactoperators on H. We will adopt spectral theorem for compact self-adjoint operators, to investigate ofhigher derivation and higher Jordan derivation on K(H) associated with the following Cauchy-Jensentype functional equation 2f((T + S)/2+ R) = f(T ) + f(S) + 2f(R) for all T, S, R are in K(...