The title compound, C(15)H(22)NO(4)S(+)·Cl(-), is a hydrolysis product of lesatropane [(1R,3S,5R,6S)-6-acet-oxy-3-tosyl-oxytropane] hydro-chloride, a potential anti-glaucoma agent. As in lesatropane, the piperidine and pyrrolidine rings in the title compound adopt chair and envelope conformations, respectively. There are two mol-ecules in the unit cell with similar conformations. The crystal st...

the wiener index $w(g)$ of a connected graph $g$‎ ‎is defined as $w(g)=sum_{u,vin v(g)}d_g(u,v)$‎ ‎where $d_g(u,v)$ is the distance between the vertices $u$ and $v$ of‎ ‎$g$‎. ‎for $ssubseteq v(g)$‎, ‎the {it steiner distance/} $d(s)$ of‎ ‎the vertices of $s$ is the minimum size of a connected subgraph of‎ ‎$g$ whose vertex set is $s$‎. ‎the {it $k$-th steiner wiener index/}‎ ‎$sw_k(g)$ of $g$ ...

This paper introduces a large collection of reusable software components that AT&T is making available in an OpenSource form. This software has been widely used around the world and includes well-known components such as KornShell, Nmake, Graphviz, S o, Vmalloc and Cdt.

This report is an investigation into Hilbert’s Problems, a set of twentythree questions posed by David Hilbert in 1900. In particular, the report focuses on the first and third problems those of the Continuum Hypothesis, following Cohen’s original proof of its independence; and the Equidecomposability of Polyhedra, following Hadwiger’s proof. It also looks at sets of problems for the twenty-fir...