The choice of the reference point in automated vehicles impacts vehicle’s driving behavior. However, this influence is often not considered for planning and control tasks. To find out where should be located best, we first consider its position to ideal if needed lane width on left right side planned path equal when cornering with constant curvature. For constantly curved paths derive depending...

The goal of the current study is to determine the optimal level of advertising beyond which advertising expenditure will not be justified by revenues. To achieve the goal first different types of media were rated by experts as to the degree of their importance. Then data ware collected by interviewing the managers and reviewing different media resources. The collected data were then analyze...

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let $l$ be a completely regular frame and $mathcal{r}l$ be the ‎ring of continuous real-valued functions on $l$‎. ‎we show that the‎ ‎lattice $zid(mathcal{r}l)$ of $z$-ideals of $mathcal{r}l$ is a‎ ‎normal coherent yosida frame‎, ‎which extends the corresponding $c(x)$‎ ‎result of mart'{i}nez and zenk‎. ‎this we do by exhibiting‎ ‎$zid(mathcal{r}l)$ as a quotient of $rad(mathcal{r}l)$‎, ‎the‎ ‎...

Contrary to the common wisdom that more choice is always better, selections made from large assortments can lead to weaker preferences. Building on the extant literature, this research identifies ideal point availability as a key factor moderating the impact of assortment on choice. It is proposed that, in the case of large assortments, ideal point availability can simplify choice, leading to a...

Let S be a set of n ideals of a commutative ring A and let Geven (respectively Godd) denote the product of all the sums of even (respectively odd) number of ideals of S. If n ≤ 6 the product of Geven and the intersection of all ideals of S is included in Godd. In the case A is an Noetherian integral domain, this inclusion is replaced by equality if and only if A is a Dedekind domain.