Decouplings for surfaces in R4

Decouplings for Curves

HPMAviation r4

Michael D. Byrne, Organizer and Chair (Rice University) Alex Kirlik, Co-Chair (University of Illinois Urbana-Champaign) Terry Allard (Federal Aviation Administration) David C. Foyle (NASA Ames Research Center) and Becky L. Hooey (San Jose State University Research Foundation at NASA Ames Research Center) Kevin A. Gluck (Air Force Research Laboratory) Christopher D. Wickens, Alion Science & Tech...

Geometry of the ringed surfaces in R4 that generate spatial Pythagorean hodographs

A Pythagorean–hodograph (PH) curve r(t) = (x(t), y(t), z(t)) has the distinctive property that the components of its derivative r(t) satisfy x(t)+y(t)+z(t) = σ(t) for some polynomial σ(t). Consequently, the PH curves admit many exact computations that otherwise require approximations. The Pythagorean structure is achieved by specifying x(t), y(t), z(t) in terms of polynomials u(t), v(t), p(t), ...

Recent Developments in Instantons in Noncommutative R4

We review recent developments in noncommutative deformations of instantons in R4. In the operator formalism, we study how to make noncommutative instantons by using the ADHM method, and we review the relation between topological charges and noncommutativity. In the ADHM methods, there exist instantons whose commutative limits are singular. We review smooth noncommutative deformations of instant...

AKT-R4: A Diagnosis Tutor

Diagnosis is difficult to perform and difficult to teach as it requires a large volume of information of various kinds and an appreciation of the differential diagnosis process. The fourth version of the Refiner series, AKT-R4, incorporates a new concept known as the diagnostic web, which is a combination of hypothetico-deductive reasoning (HDR) and illness scripts. AKT-R4 requires no additiona...