the conditions under which, multilinear forms (the symmetric case and the non symmetric case),can be written as a product of linear forms, are considered. also we generalize a result due to s.kurepa for 2n-functionals in a group g.

‎let $g$ be a finite group‎. ‎an element $gin g$ is called non-vanishing‎, ‎if for‎ ‎every irreducible complex character $chi$ of $g$‎, ‎$chi(g)neq 0$‎. ‎the bi-cayley graph $bcay(g,t)$ of $g$ with respect to a subset $tsubseteq g$‎, ‎is an undirected graph with‎ ‎vertex set $gtimes{1,2}$ and edge set ${{(x,1),(tx,2)}mid xin g‎, ‎ tin t}$‎. ‎let $nv(g)$ be the set‎ ‎of all non-vanishing element...

OBJECTIVE To describe nutrient intake and food patterns of lunches and snacks eaten at various locations by US toddlers. DESIGN A national, cross-sectional telephone survey in which mothers and primary caretakers reported toddlers' food and beverage intake for a 24-hour period. SUBJECTS Toddlers (n=632), aged 15 to 24 months, a subset in the 2002 Feeding Infants and Toddlers Study. ANALYS...

conclusions it may be concluded that parasites are common in vegetables that are frequently eaten raw, and the use of tap water does little to remove them. regarding the results of this study, the importance of vegetables in the transmission of intestinal parasites is stressed, and it is necessary to improve the sanitary conditions of these kinds of food. results the findings of forty three sam...