Best Selling Books by Jen Wang

Abstract: In 1984, Patterson and Piatetski-Shapiro constructed cuspidal distinguished representations on the three-fold covers of GL(3). Their construction is based on the work of Kazhdan and Patterson on metaplectic forms and the method of the converse theorems given by Jacquet, Piatetski-Shapiro, and Shalika. These distinguished representations can be viewed as generalizations of classical theta functions. This dissertation consists of two parts. In the first part, we apply the approach of Patterson and Piatetski-Shapiro to the case of the two fold cover of GL(2). We show that each Hecke character corresponds to a distinguished representation on the two-fold cover of GL(2). If the Hecke character is odd, then the corresponding distinguished representation is cuspidal. The same result has been obtained by Gelbart and Piatetski-Shapiro with a different approach using Weil representations. In the second part, we make progress toward generalizing the work of Patterson and Piatetski-Shapiro to the case of the four-fold cover of GL(4). The goal is to develop the relevant local Rankin-Selberg theory, adapt the converse theorem of Cogdell and Piatetski-Shapiro to the metaplectic setting and verify the analytic information needed to construct cuspidal distinguished representations by the converse theorem.

It''s been called one of Asia''s "miracle economies". The beauty of its mountains and rivers was astounding enough to attract the Dutch, Spanish, Japanese, and Chinese navies.And, since, then it has produced everything from boba tea to famous director Ang Lee (Brokeback Mountain) to millions of exported goods. This is Taiwan. It''s where East meets West-and it has a lot to offer curious travelers.Whether you''re a backpacker trekking through Asia on a budget, a business traveler coming to Taipei for a week of luxury, a descendant visiting the land of your ancestors, or someone who''s curious about the history, culture, food, and people of this unique island-Taipei: Footsteps will help you experience Taiwan from the perspective of a local.Written and designed by a team of five local college students who researched every corner of the island over a period of eighteen months, this book includes listings and descriptions of both popular and lesser-known tourist sites. It also features easy-to-use guides and maps.In Taipei: Footsteps, discover for yourself why this island has captured the imagination of so many people around the world.

"The influences of ZnO nanoparticles on cellular responses to activation of muscarinic receptors were studied in Chinese hamster ovary cells expressing the human M3 muscarinic acetylcholine receptor. ZnO particles (20 nm) induced cytotoxicity in a time and concentration-dependent manner: following a 24 h exposure, toxicity was minimal at concentrations below 20 [mu]g/ml but virtually complete at concentrations above 28 [mu]g/ml. ZnO particles did not affect antagonist binding to M3 receptors or allosteric ligand effects, but increased agonist binding affinity while eliminating guanine nucleotide sensitivity. At a noncytotoxic concentration (10 [mu]g/ml), ZnO increased resting [Ca2]i from 40 to 130 nM without compromising calcium homeostatic mechanisms. ZnO particles had minimal effects on inositol 1,4,5-trisphosphate (IP3)- or thapsigargin-mediated release of intracellular calcium from the endoplasmic reticulum, but strongly inhibited store operated calcium entry (capacitive calcium entry). The latter effect was seen as 1) a decrease in the plateau phase of the response and 2) a decrease in Ca2 entry upon introduction of calcium to the extracellular medium following thapsigargin-induced depletion of calcium from the endoplasmic reticulum (EC50''s [approximately] 2 [mu]g/ml). Thus, ZnO nanoparticles interfere with two specific aspects of the M3 signaling pathway, agonist binding and store operated calcium entry"--Abstract, leaf iii