Kim et al (Appl Math & Comput 199 (2008) 195) recently presented a test of random number generators based on the gambler’s ruin problem and concluded that several generators, including the widely used Mersenne Twister, have hidden defects. We show here that the test by Kim et al suffers from a subtle, but consequential error: Re-seeding the pseudorandom number generator with a fixed seed for ea...

This paper begins a series studying D-modules on the Feigin-Frenkel semi-infinite flag variety from the perspective of the Beilinson-Drinfeld factorization (or chiral) theory. Here we calculate Whittaker-twisted cohomology groups of Zastava spaces, which are certain finite-dimensional subvarieties of the affine Grassmannian. We show that such cohomology groups realize the nilradical of a Borel ...

lent, considered by many to be one of the best sailing areas in the country, provided an opportunity not to be missed. Although my initial trip out was in a yacht, most of my early experience was in dinghies less expensive to buy and to repair if damaged. The first dinghy I shared was with three other equally inexperienced friends. We bought a 14 foot fibre glass family dinghy through Exchange ...

When it is not actively transporting cargo, conventional Kinesin-1 is present in the cytoplasm in a folded conformation that cannot interact effectively with microtubules (MTs). Two important and largely unexplored aspects of kinesin regulation are how it is converted to an active species when bound to cargo and the related issue of how kinesin discriminates among its many potential cargo molec...

DOI: 10.1002/advs.201700872 Who would have believed it? When we launched Advanced Science in December 2014, everyone in the editorial team agreed that it was a fantastic idea to create a forum for top science, open to read, download, and share with everyone, but the development that this young journal has undergone during the last three years has stunned even the most optimistic among us. Figur...