potential fields are due to complex distribution of sources related to susceptibility and mass density variations for magnetic and gravity field respectively. in researching the lateral heterogeneous of different geological bodies, in particular their edge location potential field has some advantages. we mainly refer to linear features such as fault, folding axis, dyke, trend and border of the ...

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...

Using conformal field theory, we derive several new crossing formulae at the two-dimensional percolation point. High-precision simulation confirms these results. Integrating them gives a unified derivation of Cardy’s formula for the horizontal crossing probability h(r), Watts’ formula for the horizontal– vertical crossing probability hv(r) and Cardy’s formula for the expected number of clusters...

tropicamide is an antimuscarinic agent used as eye drops for refractive examinations. the aim of this study was to develop a simple and suitable analytical method for determination of tropicamide in eye drops in the presence of excipients. a zero-crossing third and fourth derivative spectrophotometric method was described for determination of tropicamide in eye drops. the measurements were carr...

The monotone crossing number of G is defined as the smallest number of crossing points in a drawing of G in the plane, where every edge is represented by an x-monotone curve, that is, by a connected continuous arc with the property that every vertical line intersects it in at most one point. It is shown that this parameter can be strictly larger than the classical crossing number cr(G), but it ...

potential field methods such as gravity and magnetic methods are among the most applied geophysical methods in mineral exploration. a high-resolution technique is developed to image geologic boundaries such as contacts and faults. potential field derivatives are the basis of many interpretation techniques. in boundary detection, the analytic signal quantity is defined by combining the val...