The main purpose of this work is to determine the dimension of the solution space of a nonregular discrete time AR-representation i.e. A(σ)ξ(k) = 0, in a closed interval [0, N ] where A(σ) is a nonregular polynomial matrix and σ is the forward shift operator. It is shown that the dimension of the solution space of such a system is strongly related to the structural invariants of the polynomial ...

In this work we show that the classification performance of high-dimensional structural MRI data with only a small set of training examples is improved by the usage of dimension reduction methods. We assessed two different dimension reduction variants: feature selection by ANOVA F-test and feature transformation by PCA. On the reduced datasets, we applied common learning algorithms using 5-fold...

The contemporary, income and consumption approaches to poverty definition and measurement, which are unidimensional in nature, are unable to capture multiple dimensions of poverty. The multidimensional approach operationalized here in the structural equation framework suggests that the multidimensionality of poverty hypothesis holds for the population in Kathmandu, Nepal, including economic wel...

the purpose of this research was to identify and prioritize effective factors in social responsibility of professors of islamic azad university of qazvin branch which was conducted in 2014 and 2015. among all statistical population which included 395 professors of the university, 195 professors were selected as statistical subjects from the population. in this research, it was attempted that by...

directional simulation, among techniques for reliability analysis of engineering structures, is well known. in this context, directional simulation in load space, because of the considerable advantages of lower dimension of working space, is of considerable interest. as is expected due to structural resistance variability, the location of the relevant limit state(s) is no longer constant and mu...

The modified bubble-sort graph of dimension n is the Cayley graph of Sn generated by n cyclically adjacent transpositions. In the present paper, it is shown that the automorphism group of the modified bubble sort graph of dimension n is Sn×D2n, for all n ≥ 5. Thus, a complete structural description of the automorphism group of the modified bubble-sort graph is obtained. A similar direct product...

 In this paper, a new homological dimension of modules, copresented dimension, is defined. We study some basic properties of this homological dimension. Some ring extensions are considered, too. For instance, we prove that if $Sgeq R$ is a finite normalizing extension and $S_R$ is a projective module, then for each right $S$-module $M_S$, the copresented dimension of $M_S$ does not exceed the c...

We consider completely invariant subsets A of weakly expanding piecewise monotonic transformations T on [0, 1]. It is shown that the upper box dimension of A is bounded by the minimum tA of all parameters t for which a t-conformal measure with support A exists. In particular, this implies equality of box dimension and Hausdorff dimension of A.