the analytic signal for magnetic anomalies was initially defined as a “complex field deriving from a complex potential” (nabighian, 1972). this function can be computed easily in the frequency domain, its real part is the horizontal derivative of the field and its imaginary part is the vertical derivative. analytic signal processing and interpretation requires few initial assumptions regarding ...

Crossing of bunches at an angle in a storage ring is studied. A case when a particle trajectory intersects the opposing bunch off-center and at an angle to the main axis of the bunch charge distribution is considered. Formulae for a kick experienced by a particle are derived for crossing in both horizontal and vertical planes. This kick is a function of the off-center distance in the longitudin...

Amethodwhichenables the investigationof theburied interfaceswithoutaltering the properties of the polymer films is used to study vertical phase separation of spin-coated poly(3-hexylthiophene) (P3HT):fullerene derivative blends. X-ray photoelectron spectroscopy (XPS) and atomic force microscopy (AFM) analysis reveals the P3HT enrichment at the free (air) surfaces and abundanceof fullerene deriv...

This paper proposes a systematic procedure for the exponential stabilization of relative equilibria of mechanical systems. The emphasis is on 1 dimensional symmetries. A key design idea is to distinguish between horizontal forces, which preserve the momentum, and vertical forces that affect it. A proportional, derivative control in the horizontal directions and a first order regulator in the ve...

Temperature fronts and associated cliff-ramp structures in stably stratified turbulence are investigated using DNS of the Navier-Stokes equations under the Bousinesq approximation. Vertical profiles of temperature fluctuations show sawtooth wave structures which result in a skewed PDF of the derivative of temperature fluctuation in the z-direction. The mechanisms for generating and maintaining ...

Vertical derivatives of aeromagnetic and gravity datasets are routinely used as an aid to the interpretation process because they enhance detail and sharpen geophysical anomalies. Since they are a form of high-pass filter they also have the undesirable property of enhancing noise. Traditionally, the second order vertical derivative of a dataset would be calculated, and if this proved too noisy ...

0924-2716/$ see front matter 2012 International http://dx.doi.org/10.1016/j.isprsjprs.2012.09.014 ⇑ Corresponding author. Tel.: +61 2 9114 0897; fax E-mail address: [email protected] (R Hyperspectral imagery is used to map the distribution of iron and separate iron ore from shale (a waste product) on a vertical mine face in an open-pit mine in the Pilbara, Western Australia. Vertical...

The variational derivative of a functional J[y] can be defined as δJ/δy = F y (x, y, y ′)− d dx F y ′ (x, y, y ′) [1, pp. 27–29]. Euler's equation essentially states that the variational derivative of the functional must vanish at an extremum. This is analogous to the well-known result from calculus that the derivative of a function must vanish at an extremum. In this section, we consider a sim...