in this paper we will determine the multiple point manifolds of certain self-transverse immersions in euclidean spaces. following the triple points, these immersions have a double point self-intersection set which is the image of an immersion of a smooth 5-dimensional manifold, cobordant to dold manifold $v^5$ or a boundary. we will show there is an immersion of $s^7times p^2$ in $mathbb{r}^{13...

In this paper we describe a new algorithm for the long-term numerical integration of the two-body problem, in which two particles interact under a Newtonian gravitational potential. Although analytical solutions exist in the unperturbed and weakly perturbed cases, numerical integration is necessary in situations where the perturbation is relatively strong. Kustaanheimo{Stiefel (KS) regularizati...

Let X be a compact connected Riemann surface of genus at least two. We compute the Chen–Ruan cohomology ring of the moduli space of stable PSL(2, C)– bundles of nontrivial second Stiefel–Whitney class over X .

Azoles are important compounds for the treatment of fungal infections. This review focuses on three azoles: isavuconazole, ravuconazole and albaconazole (Stiefel). These drugs exhibit a broad spectrum of activity in vitro, including activity against several fungal isolates that are resistant to other azoles. However, poor or limited activity of these compounds has been demonstrated against spec...