In this article we consider the sequences of sample and population covariance operators for a sequence of arrays of Hilbertian random elements. Then under the assumptions that sequences of the covariance operators norm are uniformly bounded and the sequences of the principal component scores are uniformly sumable, we prove that the convergence of the sequences of covariance operators would impl...

the set of all non-increasing non-negative integer sequences $pi=(d_1‎, ‎d_2,ldots,d_n)$ is denoted by $ns_n$‎. ‎a sequence $piin ns_{n}$ is said to be graphic if it is the degree sequence of a simple graph $g$ on $n$ vertices‎, ‎and such a graph $g$ is called a realization of $pi$‎. ‎the set of all graphic sequences in $ns_{n}$ is denoted by $gs_{n}$‎. ‎the complete product split graph on $l‎ ...

In this paper, we introduce and study the concepts of $mathcal{I}_2$-convergence, $mathcal{I}_2^{*}$-convergence for double sequences of fuzzy real numbers, where $mathcal{I}_2$ denotes the ideal of subsets of $mathbb N times mathbb N$. Also, we study some properties and relations of them.

background: the purpose of this study is to demonstrate the advantages of gradient echo (gre) sequences in the detection and characterization of cerebral venous sinus thrombosis compared to conventional magnetic resonance sequences. methods: a total of 17 patients with cerebral venous thrombosis (cvt) were evaluated using different magnetic resonance imaging (mri) sequences. the mri sequences i...

feldspar grains, as a significant provenance indicator, of two terrigenous formations from central iran, the upper red formation, and moghan area, zivah formation, are used for provenance determination and the study of transportation and depositional history. the upper red formation (urf) is volumetrically the most important siliciclastic unit of the central iran and zivah formation (zf) repres...

zero tillage practices have a direct effect on soil microbial communities modifying soil productivity and sustainability. the crop sequences used can change the aforementioned properties, too. in this study, we evaluated the effect of crop sequences under zero tillage management on soil biological and chemical properties including vertical distribution of soil organic carbon, soil basal respira...