We take advantage of different generalizations of the tangent manifold to the context of graded manifolds, together with the notion of super section along a morphism of graded manifolds, to obtain intrinsic definitions of the main objects in supermechanics such as, the vertical endomorphism, the canonical and the Cartan’s graded forms, the total time derivative operator and the super–Legendre t...

In this paper the application of edge detection techniques to gravity data are described. Edge enhancement in potential-field data helps geologic interpretation. There exist several methods for enhancing edges, such as tilt angle, and the derivative of tilt angle. Most of these methods are high-pass filters based on the horizontal or vertical derivatives of the field. To determine the filters n...

We establish optimal Lp bounds for the non-tangential maximal function of the gradient of the solution to a second-order elliptic operator in divergence form, possibly non-symmetric, with bounded measurable coefficients independent of the vertical variable, on the domain above a Lipschitz graph in the plane, in terms of the Lp-norm at the boundary of the tangential derivative of the Dirichlet d...

A fuzzy-logic controller (FLC) is designed to automatically adjust feed rate in order to regulate the cutting force of milling processes in a vertical machining center. The FLC has a double-loop structure, consisting of the inner PD (proportional-derivative) velocity-control loop for a feed servo and the outer fuzzylogic force-control loop. Reference cutting forces are well maintained in both n...

We present an uncertainty analysis of data taken using the Rossi technique in which the horizontal oscilloscope sweep is driven sinusoidally in time while the vertical axis follows the signal amplitude. The analysis is aimed at determining the logarithmic derivative of the amplitude as a function of time. Within the Bayesian framework used, inferences are obtained with the Markov Chain Monte Ca...

magnetic survey is nowadays the most efficient non-destructive geophysical method. this technique puts emphasis on the measurement of anomalies of the earth’s magnetic field, caused by the presence of archaeological remains in the ground. magnetic survey is one of the oldest geophysical methods for airborne and land use. that is why there is a large volume of data that could be used for geologi...

This paper describes the problem of feedback control for stabilization of the plasma vertical instability in a tokamak. Such controllers are typically designed based on a model that assumes the plasma mass m is identically zero while in reality the mass is small but positive. The assumption that m is zero can lead to a controller that appears to be stabilizing according to the massless analysis...

Closely spaced satellite altimeter profiles collected during the Geosat Geodetic Mission (-6 km) and the ERS 1 Geodetic Phase (8 km) are easily converted to grids of vertical gravity gradient and gravity anomaly. The long-wavelength radial orbit error is suppressed below the noise level of the altimeter by taking the along-track derivative of each profile. Ascending and descending slope profile...

The present paper describes the design of a hybrid actuation control concept, a fuzzy logic proportional-integral-derivative plus a conventional on-off controller, for a new morphing mechanism using smart materials as actuators, which were made from shape memory alloys (SMA). The research work described here was developed for the open loop phase of a morphing wing system, whose primary goal was...