R. Mukhopadhyay,1,* S. Mitra,1 M. Johnson,2 V. R. Rajeev Kumar,3 and T. Pradeep3,† 1Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai 400 085, India 2Institute Lau-Langevin, BP156, F-38042, Grenoble, Cedex 9, France 3DST Unit on Nanoscience, Department of Chemistry and Sophisticated Analytical Instrument Facility, Indian Institute of Technology Madras, Chennai 600 036, India R...

In [2], Billera proved that the R-algebra of continuous piecewise polynomial functions (C0 splines) on a d-dimensional simplicial complex 1 embedded in Rd is a quotient of the Stanley–Reisner ring A1 of 1. We derive a criterion to determine which elements of the Stanley–Reisner ring correspond to splines of higher-order smoothness. In [5], Lau and Stiller point out that the dimension of C k (1)...

amonge other things we give sufficient and necessary conditions for the lau product of banachalgebras to be biflat or biprojective.

SCIENCE Geological History In past discussions and speculations concerning the early peopling of the New World, the hypothesized "migration cor-ridor" between the Cordilleran and Lau-rentian ice sheets has figured prominently (1). By contrast with this much-mooted route east of the Rocky Mountains , little consideration has been given to possible routes west of the Rockies. I will examine such ...