One of the open problems in the max-plus-algebraic system theory for discrete event systems is the minimal realization problem. We consider a simplified version of the general minimal realization problem: the boolean minimal realization problem, i.e., we consider models in which the entries of the system matrices are either equal to the max-plus-algebraic zero element or to the maxplus-algebrai...

One of the open problems in the max-plus-algebraic system theory for discrete event systems is the minimal realization problem. We consider a simpliied version of the general minimal realization problem: the boolean minimal realization problem, i.e., we consider models in which the entries of the system matrices are either equal to the max-plus-algebraic zero element or to the max-plus-algebrai...

Since density is considered as one of the most important numerical indices to explain quantitative values of a plant community by affecting on many aspects and activity of ecosystem, on the other hand, awareness about plants distribution pattern in environment is an essential preparation for measurement and study of vegetative cover, therefore, in this research determination of density and dist...

We provide bivariate asymptotics for the poly-Bernoulli numbers, a combinatorial array that enumerates lonesum matrices, using methods of Analytic Combinatorics in Several Variables (ACSV). For diagonal asymptotic (i.e., special case square matrices) we present an alternative proof based on Parseval's identity. In addition, application Algebraic Statistics ML-degree multinomial missing data pro...

In this paper, an iterative technique is proposed to solve linear integrated active/passive design problems. The optimality of active and passive parts leads to the nonlinear algebraic Riccati equation due to the active parameters and some associated additional Lyapunov equations due to the passive parameters. Rather than the solution of the nonlinear algebraic Riccati equation, it is proposed ...

We refine necessary and sufficient conditions for the generating series of a weighted model quarter plane walk to be differentially algebraic. In addition, we give algorithms based on theory Mordell–Weil lattices, that, each model, yield polynomial weights determining this property associated series.

for assessment and comparison of measuring density methods of festuca ovina, bromus tomentellus and prangos ferulacea, three plants communities are selected. in all of plant community, reference area was defined and samples 7000 (70*100) square meter was selected. whole the area, sampling was accumplished as systematic-random. in each area, 5 transect 100 meter are established. then in areas 70...