Abstract Consider a curve of genus one over a field K in one of three explicit forms: a double cover of P1, a plane cubic, or a space quartic. For each form, a certain syzygy from classical invariant… Expand

This paper is devoted to the consideration of a certain cup product in the Galois cohomology of an algebraic number field with restricted ramification. Let n be a positive integer, let K be a number… Expand

Let C be a curve of genus g >_ 2, defined over a number field K , and let J be the Jacobian of C. Coleman [C2], following Chabauty, has shown how to obtain good bounds on the cardinality of C(K) if… Expand

ObjectivesEmergency departments serve many functions in the current U.S. healthcare system, including initial management of patients with critical illnesses and primary care for a growing proportion… Expand

Chapter 1: A Library of Functions Chapter 2: Key Concept: The Derivative Chapter 3: Short-Cuts to Differentiation Chapter 4: Using the Derivative Chapter 5: Key Concept: The Definite Integral Chapter… Expand

Retained foreign bodies can be a source of infection and a cause of disability. A 63-year-old white man presented with a nonhealing wound of the right second finger of 1 month's duration. The injury… Expand