We identify the integrable stopping time τ∗ with minimal L1-distance from the lastpassage time γz associated with a given level z > 0, for an arbitrary nonnegative time-homogeneous transient diffusion X. We demonstrate that τ∗ is in fact the first time that X assumes a value outside a half-open interval [0, r∗). The upper boundary r∗ > z of this interval is characterized either as the solution ...

We present a new global optimization approach for solving exactly or inexactly constrained distance geometry problems. Distance geometry problems are concerned with determining spatial structures from measurements of internal distances. They arise in the structural interpretation of nuclear magnetic resonance data and in the prediction of protein structure. These problems can be naturally formu...

Ab initio calculations at HF/6-31G* level of theory for geometry optimization and MP2/6-31G*//HF/6-31G*for total energy calculation are reported for Z-cyclooctene (1). The most favorable conformation of 1 is theunsymmetric boat-chair (1-BC) geometry. Potential energy profiles for two different boat-chair/boat-chairinterconversion processes were calculated. The process via a chair transition sta...

Indole-3-carbinol (I3C) is a plant compound derived from glucosinolates, found in cruciferous vegetables. Researchers have indicated that I3C shows great promise as a cancer preventative and hormone-balancing agent. HyperChem 7.5 software was used for quantum mechanical calculations. The geometry optimization was carried out using Ab Initio method. QSAR parameters were generated with semi empir...