Structure of absintholide a new guaianolide dimer of Artemisia absinthium L.

Absintholide $\text{1}$ is a new guaianolide dimer whose structure and stereochemistry has been elucidated on the basis of high resolution n.m.r.     

Programming problems in mathematical logic

In the early days of computing, special machines were built for solving logical (as opposed to numerical) problems. Experience in several significant problems of Mathematical logic has indicated that a general purpose machine can be used simply and effectively, provided a powerful programming language is available.     

Tensor spline approximation

The cyclic-shift tensor-factorization interpolation method recently described by de Boor can be used in particular for least-squares fitting of multivariate data on a rectangular grid and for evaluation of the resulting tensor-product splines, taking advantage of existing linear algebra and univariate spline software. We discuss the computational details of this method, pointing out variants and suggesting techniques for dealing with ill-conditioned least-squares problems.     

Accuracy of semiclassical dynamics in the presence of chaos

We review some of the issues facing semiclassical methods in classically chaotic systems, then demonstrate the long-time accuracy of semiclassical propagation of a nonstationary wave packet using the quantum baker's map of Balazs and Voros. We show why some of the standard arguments against the efficacy of semiclassical dynamics for long-time chaotic motion are incorrect.