Firing squibs by low voltage capacitor discharge for spacecraft application

Low voltage capacitor discharge firing circuit to initiate hot bridgewire squibs for spacecraft application

Earnest A. Smith to Dr. Silver, 30 April 1963

Professional correspondenc

Classification of one-class spinor genera for quaternary quadratic forms

A quadratic form has a one-class spinor genus if its spinor genus consists of a single equivalence class. We determine that there is, up to equivalence, only one primitive integral positive definite quaternary quadratic form which has a one-class spinor genus but not a one-class genus. In all other cases, such quaternary forms either have a genus and spinor genus which coincide, or the genus splits into multiple spinor genera, which in turn split into multiple equivalence classes

Earnest A. Smith to Dr. Silver, 16 May 1963

Professional correspondenc

The Irreducible Needs of Interprofessional Education – Creating and Sustaining an Institutional Commons for Health Professions Training

Leaders in health professions education schools and programs are under pressure to respond to new accreditation requirements for interprofessional education (IPE). The work of creating and sustaining an IPE program at an academic health center is in many ways analogous to the challenge of creating and sustaining a “commons”—a set of resources shared by many, but owned by none. In this Commentary, the authors borrow from the work of Nobel Laureate Elinor Ostrum to describe the “design principles” necessary to build and maintain the set of common resources needed to successfully implement and sustain an IPE program. They interpret these principles in the context of their own experiences implementing IPE programs and recommend three institutional structural elements necessary to build and sustain an IPE program: (1) a representative governance body, (2) an accountable director or leader, and (3) a structure supporting vertical and horizontal communication and authority

Represented Value Sets for Integral Binary Quadratic Forms and Lattices

A characterization is given for the integral binary quadratic forms for which the set of represented values is closed under products. It is also proved that for an integral binary quadratic lattice over the ring of integers of a global field, the product of three values represented by the form is again a value represented by the form. This generalizes the trigroup property discovered by V. Arnold for the case of integral binary quadratic forms

Multiplicative Properties of Integral Binary Quadratic Forms

In this paper, the integral binary quadratic forms for which the set of represented values is closed under k-fold products, for even positive integers k, will be characterized. This property will be seen to distinguish the elements of odd order in the form class group of a fixed discriminant. Further, it will be shown that this closure under k-fold products can always be expressed by a k-linear mapping from (Z2)k to Z2. In the case k = 2, this resolves a conjecture of Aicardi and Timorin