% Why? Algebraically closed fields have several nice computational properties, as well as, beautiful connections to geometry. • Algebraic geometry • Gröbner basis • Elimination ideal computation • Zeroes of a system of polynomial equations The theory of reals is used across many application domains. • Real algebraic geometry • Areas: Dynamical systems, engineering, control, geometry, motion pla...

Analysis, design, fabrication, and experimental assessment of a symmetric three-phase free-piston Stirling engine system is discussed in this paper. The system is designed to operate with moderate-temperature heat input that is consistent with solar-thermal collectors. Diaphragm pistons and nylon flexures are considered for this prototype to eliminate surface friction and to provide appropriate...