This article gives an exposition of the theory of arithmetic motivic measure, as developed by J. Denef and F. Loeser. 1. Preliminary Concepts There is much that is odd about motivic measure if it is judged by measure theory in the sense of twentieth century analysis. It does not fit neatly with the tradition of measure in the style of Hausdorff, Haar, and Lebesgue. It is best to view motivic me...

The forces experienced while surgically cutting anatomical tissues from a sheep and two rats were investigated for three scissor types. Data were collected in situ using instrumented Mayo, Metzenbaum, and Iris scissors immediately after death to minimize postmortem effects. The force-position relationship, the frequency components present in the signal, the signiŽcance of the cutting rate, and ...

Scissoring of the cerebral aneurysm clip blades is a rare but potentially devastating complication of clipping surgery and results in aneurysm neck injury inducing rupture and/or cerebral infarction. Scissoring has been reported using titanium straight clips. Here we present two unusual cases of crossing of the blades of titanium bayonet clips by a scissors-like mechanism during surgery. The pr...

In this system we improved the performance of an automatic system for extracting leaf contour. The proposed leaf contour extraction method consists of three major procedures: the detection of four edge points, and contour tracing. Leaf detection includes two stages: feature extraction and matching. For the leaf contour extraction part, we present a new technique for automatically identifying th...

Stable structures and stoichiometries of binary Mg−N compounds are explored at pressures from ambient up to 300 GPa using ab initio evolutionary simulations. In addition to Mg3N2, we identified five nitrogen-rich compositions (MgN4, MgN3, MgN2, Mg2N3, and Mg5N7) and three magnesium-rich ones (Mg5N3, Mg4N3 and Mg5N4), which have stability fields on the phase diagram. These compounds have peculia...