Geometric Objects and Queries: Someone once defined a computer game as a “database with a fun interface”. Large games involve the storage and maintenance of a huge number of geometric objects, many of which change dynamically over time, and the game software needs to be able to access this information efficiently. Access to these structures takes form of queries (asking questions about the obje...

Combining geometric mechanics theory, laboratory robotic experiment, and numerical simulation, we study the locomotion in granular media of the simplest noninertial swimmer, the Purcell three-link swimmer. Using granular resistive force laws as inputs, the theory relates translation and rotation of the body to shape changes (movements of the links). This allows analysis, visualization, and pred...

Geometric Objects and Queries: Someone once defined a computer game as a “database with a fun interface”. Large games involve the storage and maintenance of a huge number of geometric objects, many of which change dynamically over time, and the game software needs to be able to access this information efficiently. Access to these structures takes form of queries (asking questions about the obje...

Geometric Objects and Queries: Someone once defined a computer game as a “database with a fun interface”. Large games involve the storage and maintenance of a huge number of geometric objects, many of which change dynamically over time, and the game software needs to be able to access this information efficiently. Access to these structures takes form of queries (asking questions about the obje...

The cumulative sum (CUSUM) chart, well-known to be sensitive in detecting small and moderate parameter changes, is proposed here for monitoring a high yield process. The sensitivities of the CUSUM charts based on geometric, Bernoulli and binomial counts are compared. Based on the comparisons, recommendations for the selection of a chart are provided. Simple procedures are given for optimal desi...

Engineering designs are often determined by functional considerations, yet modeled with purely geometric parameters. Because of this, a difficult part of a design engineer’s job is tracking how changes to the geometric model might alter the functional performance of the design. This paper proposes a design interface that uses temporary functional views of geometric models to augment design engi...

We described in [M1] a monoid b G, the face monoid, acting on the integrable highest weight modules of a symmetrizable Kac-Moody algebra. It has similar structural properties as a reductive algebraic monoid whose unit group is a Kac-Moody group G. We found in [M5] two natural extensions of the action of the Kac-Moody group G on its building Ω to actions of the face monoid b G on the building Ω....