John D. Barrow, Yoshida Jin, and Kei-ichi Maeda DAMTP, Centre for Mathematical Sciences, Cambridge University, Cambridge CB3 0WA, UK Department of Physics, Waseda University, 3-4-1 Okubo, Shinjuku-ku,Tokyo 169-8555, Japan 3 Waseda Institute for Astrophysics, Waseda University, Shinjuku, Tokyo 169-8555, Japan and 4 Advanced Research Institute for Science and Engineering, Waseda University, Shinj...

Velleda Baldoni, Nicole Berline, Michèle Vergne. Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope. Matthias Beck, Christian Haase, Bruce Reznick, Michèle Vergne, Volkmar Welker and Ruriko Yoshida. Integer Points in Polyhedra-Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics, American Mathematical Society, pp.1...

Cribbage is (normally) a two-player card game where the aim is to score 121 points before your opponent. The game has four stages, one of which involves discarding two cards from the six cards you are dealt. A later stage scores the four cards in your hand together with a card cut randomly from the deck after the discards have been made. The two cards that were discarded are used to form anothe...

defects in simultaneously deuterium and carbon ion-implanted tungsten Rie KURATA, Makoto KOBAYASHI, Sachiko SUZUKI, Wanjing WANG, Naoko ASHIKAWA, Akio SAGARA, Naoaki YOSHIDA, Yasuhisa OYA, and Kenji OKUNO 1) Radioscience Research Laboratory, Faculty of Science, Shizuoka University, 836, Ohya, Suruga-ku, Shizuoka 422-8529, Japan 2) National Institute for Fusion Science, Japan 3) Institute of App...

To everyone who loves mathematics, everywhere. i Acknowledgements I cannot stress enough how wonderful it is to study mathematics at Berkeley. I had the great privilege to share ideas there with many fantastic mathematicians. My advisor, Ken Ribet, granted me the freedom to pursue this project while masterfully answering the lion's share of my questions. The ideas for the final chapter grew out...

The most recent results and some of the open key questions on the evolution of early-type galaxies are reviewed in the general cosmological context of massive galaxy formation.

Oscillation criteria are obtained for solutions of forced and unforced second order neutral differential equations with positive and negative coefficients. These criteria generalize those of Manojlović, Shoukaku, Tanigawa and Yoshida (2006).