A different perspective from the more “traditional” approaches to studying solutions of games in partition function form has been presented. We provide a decomposition of the space of such games under the action of the symmetric group, for the cases with three and four players. In particular, we identify all the irreducible subspaces that are relevant to the study of linear symmetric solutions....

The fundamental symmetric functions are EXk (equal to 1 if the sum of n input bits is exactly k), THk (the sum is at least k), and MODm,r (the sum is congruent to r modulo m). It is well known that all these functions and in fact any symmetric Boolean function have linear circuit size. Simple counting shows that the circuit complexity of computing n symmetric functions is Ω(n2−o(1)) for almost ...

In this study buckling analysis of solid rectangular plate made of porous material in undrained condition is investigated. The mechanical properties of plate are assumed to vary through the thickness direction. Distributing of the pores through the plate thickness are assumed to be the nonlinear nonsymmetric, nonlinear symmetric, and monotonous distribution. The effect of pores and pores distri...

We describe a software package facilitating computations with symmetric functions, with an emphasis on the representation theory of general linear and symmetric groups. As an application, we implement a heuristic method for approximating equivariant resolutions of modules over polynomial rings with an action of a product of a combination of general linear and symmetric groups.

In the first part of the correspondence we derive an upper bound on the undetected error probability of binary ( n , k ) block codes used on channels with memory described by Markov distributions. This bound is a generalization of the bound presented by Kasami et al. for the binary symmetric channel, and is given as an average value of some function of the composition of the state sequence of t...

In this paper we present a method for solving fuzzy linear systemsby two crisp linear systems. Also necessary and sufficient conditions for existenceof solution are given. Some numerical examples illustrate the efficiencyof the method.