We consider the problem of classifying the orbits within a tower of fibrations with P-fibers that generalize the Monster Tower due to Montgomery and Zhitomirskii. The action on the tower is given by prolongations of diffeomorphism germs of 3-space. As a corollary we give the first steps towards the problem of classifying Goursat 2-flags of small length. In short, we classify the orbits within t...

Three models for detecting abnormalities of wind turbine vibrations reflected in time domain are discussed. The models were derived from the supervisory control and data acquisition (SCADA) data collected at various wind turbines. The vibration of a wind turbine is characterized by two parameters, i.e., drivetrain and tower acceleration. An unsupervised data-mining algorithm, the k-means cluste...

U-turn maneuver is a special taxiing behavior on the ground. This paper studied the behavior and aimed to research the problem of position and attitude during the movement. From the perspective of airport tower control simulation, the calculation methods that the aircraft did U-turn maneuver under the nonholonomic constraints were proposed. According to the real geometrical constraints and kine...

A tower is a sequence of simplicial complexes connected by simplicial maps. We show how to compute a filtration, a sequence of nested simplicial complexes, with the same persistent barcode as the tower. Our approach is based on the coning strategy by Dey et al. (SoCG 2014). We show that a variant of this approach yields a filtration that is asymptotically only marginally larger than the tower a...

An analysis of the mechanics of extracting blocks from a tower of stacked blocks in the game of Jenga is presented. Translational and rotational moves are analyzed for the likelihood of disturbing other blocks in the tower, with an aim to determine moves which are safe from disturbing other blocks and are robust against change in outcome with different block configurations. Optimal moves are fo...

The explicit construction of function fields tower with many rational points relative to the genus in the tower play a key role for the construction of asymptotically good algebraic-geometric codes. In 1997 Garcia, Stichtenoth and Thomas [6] exhibited two recursive asymptotically good Kummer towers over any non-prime field. Wulftange determined the limit of one tower in his PhD thesis [13]. In ...