RESUMO
Flexibility of structures is extremely important for chemistry and robotics. Following our earlier work, we study flexibility using polynomial equations, resultants, and a symbolic algorithm of our creation that analyzes the resultant. We show that the software solves a classic arrangement of quadrilaterals in the plane due to Bricard. We fill in several gaps in Bricard's work and discover new flexible arrangements that he was apparently unaware of. This provides strong evidence for the maturity of the software, and is a wonderful example of mathematical discovery via computer assisted experiment.
RESUMO
Controversy remains in understanding both the development and treatment for the odontogenic keratocyst (OKC). With recent changes in nomenclature recognizing the odontogenic keratocyst as a benign tumor, the debate over the proper course of treatment to limit recurrence and morbidity will continue. This study presents two cases where conservative treatment failed to prevent recurrence and each patient underwent resection of aggressive, multicystic OKCs to provide the best chance for definitive care without recurrence and limited morbidity.