This paper provides empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. The second of theseconjectures relates six quantities associated to a Jacobian over the rationalnumbers. One of these six quantities is the size of the Shafarevich-Tate group.Unable to compute that, we computed the five other quantities and solved for...

[Headnote] Eye movement desensitization and reprocessing (EMDR) is a highly scrutinized but efficacious psychotherapy commonly used in the treatment of posttraumatic stress disorder. Despite much theorizing and speculation, EMDR's mechanism of action remains unspecified. This article reviews several accounts of how EMDR works to reduce symptoms and/or aid memory reprocessing, including disrupti...

This paper presents a conceptual analysis of the essay by Paktovsky (1901) which concentrates on the works by Chekhov. The urgency of the research is determined by the significance of the literary figure for the history of Russian criticism of the 19th – 20th centuries, the importance of his vision concerning the writing of the authors of Russian literature of the turn of the century, as well a...

Substance dependence, or ‘addiction’, is diagnosed taking several factors into consideration (Box 1). Substance misuse refers to the non-therapeutic use of drugs in a manner that is potentially harmful, but does not meet criteria for dependence. Guidelines for drug addiction treatment have been published by the Department of Health (1999). Many trials report significant benefits of addiction tr...

hat do we really know about the relationship between professional development and improvements in student learning? What evidence validates that relationship, and how trustworthy is that evidence? What does that evidence tell us about the characteristics of truly effective professional development activities? These questions guided one of the largest and most inclusive syntheses of research on ...