Today we will talk about some applications of decoupling. The first application is Strichartz inequality on tori. Let T d = R/Z. For a lattice Λ ⊂ R, let TΛ = R/Λ. For instance, we may take the rectangle [0, λ1]× ...× [0, λd] and identify opposite edges. Our goal is to study the initial value problem for Schrodinger’s equation. That is, let u(x, t) : R×R→ C (or T ×R→ C or TΛ×R→ C), where x ∈ R,...

In this issue I wish farewell to Larry Rosenblum, who has decided to step down from our editorial board. He has contributed to CG&A for many years, most signi cantly as the editor of two departments, Visualization Blackboard and Projects in VR. Both have been regular and prominent features of CG&A. Projects in VR covered both applications and theory relevant to virtual reality. Larry is the Pro...

We consider a permutation method for testing whether observations given in their natural pairing exhibit an unusual level of similarity in situations where any two observations may be similar at some unknown baseline level. Under a null hypotheses where there is no distinguished pairing of the observations, a normal approximation with explicit bounds and rates is presented for determining appro...

Meta-Evaluation of Worksite Health Promotion Economic Return Studies: 2005 Update by Larry S. Chapman, MPH . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Closing Thoughts, by Larry S. Chapman . . . . . . . . . . . . . . . 15 Editorial Team Editor . . . . . . ....

University of California, Los Angeles This paper presents evidence for abstract phonology-that is, a phonology that recognizes underlying segments which are not realized phonetically. Two underlying vowel segments /o/ and /e/ are posited for Nupe (a Kwa language of Central Nigeria), both of which are realized as [a], therefore merging ('absolutely neutralizing') with /a/. Arguments based on pat...

Teresa C. T. Peret, Guy Boivin, Yan Li, Michel Couillard, Charles Humphrey, Albert D. M. E. Osterhaus, Dean D. Erdman, and Larry J. Anderson Respiratory Virus Section, Respiratory and Enteric Viruses Branch, and Infectious Disease Pathology Activity, Division of Viral and Rickettsial Diseases, National Center for Infectious Diseases, Centers for Disease Control and Prevention, Atlanta, Georgia;...