
compositions of integers are used as theoretical models for many applications.the degree of distinctness of a composition is a natural andimportant parameter. in this...maximum part size andthe distribution of the number of distinct part sizes. we obtain asymptotically,for the classical composition of an integer, the moments and... ...

...for many applications. the degree of distinctness of a composition is a natural and important parameter. a possible measure of distinctness is the number x of...in this article we consider a variant of the distinctness: the number x m of distinct parts of multiplicity m that we call...

...paper is concerned with problems of the following type:# accepted for publication in advances in applied mathematics.given a random (under a suitable probability model) partition or composition, study quantitativelythe measures of the degree of distinctness of its parts ...

...that the stressstrain relationship of the composite is treated as a typical stochastic process indexed with the composite strain. also the mechanism reflecting...this theoretical model, the prediction of the entire stressstrain curve of a hybrid composite is provided in this study. a comprehensive parametric study is then...

...allows us to conduct precise probabilistic analysis using theorem proving and thus overcome the limitations of the simulation based probabilistic analysis approach. some ma jor contributions...random variables and the verification of some of their corresponding probabilistic and statistical properties. this paper presents a concise description of the infrastructures behind these capabilities...

...prac tice than their theoretical analysis predicts, with respect to both...in this paper we present a probabilistic analysis that proves an averagecase bound for the length of the rst basis vector of an lll reduced bases which reects...

...is proposed for representing the probabilistic behavior of circuits with faulty gates. we introduce probabilistic decision diagrams (pdd) as an exact computational tool which along...manipulation algorithms (polynomial in size.) an algorithm for constructing the pdd for a circuit is proposed. useful information about probabilistic behavior of the circuit (such as output...

...is proposed for representing the probabilistic behavior of circuits with faulty gates. the authors introduce probabilistic decision diagrams (pdd) as an exact computational tool which along...manipulation algorithms (polynomial in size.) an algorithm for constructing the pdd for a circuit is proposed. useful information about probabilistic behavior of the circuit (such as output...


...a quantum computer can efficiently find the order of an element i n a group, factors of composite integers, discrete logarithms, stabilisers in abelian groups, and hidden or unknown subgroups of abelian groups. it is already known how to phrase the first four problems as the estimation of eigenvalues of certain unitary operators. here we...