let $g$ be a finite group‎. ‎we denote by $psi(g)$ the integer $sum_{gin g}o(g)$‎, ‎where $o(g)$ denotes the order of $g in g$‎. ‎here we show that‎ ‎$psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$‎, ‎where $a_5$ is the alternating group of degree $5$‎. ‎also we prove that $psi(psl(2,7))

From a psychological perspective, both cognitive and non-cognitive abilities are significant drivers of human growth. The ability to gather, choose, comprehend information is referred as ability. To be more specific, it consists the nature characteristics objects, well how they relate one another, fundamental laws, future course world. Any skill that not considered non-cognitive. Examples inclu...

We show that there is a perfectly normal non-metrizable manifold if there is a Luzin subset of the real line, and that there is a countably compact perfectly normal non-metrizable manifold in any model of set-theory obtained by adding Cohen reals to a model of ZFC +♦.

We discuss about effects of the non-standard interaction of neutrinos with matter on the νe appearance search in the MINOS experiment. We consider the effects of the complex phase of the interaction and of the uncertainty on θ23 also. We show that the oscillation probability can be so large that can not be explained by the ordinary oscillation. We show also how much constraints on the non-stand...

Clustering is an important data mining task for grouping similar objects. In high dimensional data, however, effects attributed to the “curse of dimensionality”, render clustering in high dimensional data meaningless. Due to this, recent years have seen research on subspace clustering which searches for clusters in relevant subspace projections of high dimensional data. As the number of possibl...