terracing is an operator that is applied to potential field data to produce regions of constant field amplitude that are separated by sharp boundaries. magnetic data are usually transformed into pseudo-gravity data (baranov, 1957) prior to the application of terracing. the objective of terracing is ‘to recast potential field maps into a geologic map like format’ (cordell and mccafferty 1989). t...

Scoliosis is a complex three-dimensional deformity that is usually considered in the frontal plane without references to curvature in other planes. An important feature of idiopathic scoliosis deformity is the horizontal plane rotation (vertebral axial rotation). This rotation is thought to be significant for initiation and progression of idiopathic scoliosis (Adams W, 1865). Somerville's (1952...

The spaceM of nondegenerate, properly embedded minimal surfaces in R3 with finite total curvature and fixed topology is an analytic lagrangian submanifold of Cn, where n is the number of ends of the surface. In this paper we give two expressions, one integral and the other pointwise, for the second fundamental form of this submanifold. We also consider the compact boundary case, and we show tha...

potential field images obtained in potential field data measurements are suitable tools for mineral and hydrocarbons resources explorations. these images consist of different anomalies which in many cases are contaminated with noise. the horizontal location of the boundaries of potential field anomaly sources is of interest in potential field interpretation. however, the edge of potential field...

The study was done to compare the corneal curvature readings obtained by Baush and Lomb manual keratometer with that of Nidek autokeratometer ARK-30 to find if either was superior to the other. Curvature of central 3mm corneal zone was measured in horizontal and vertical meridian with Bausch and Lomb manual keratometer and Nidek autokeratometer ARK30 in 67 eyes of 52 patients between the age gr...

We investigate the minimal and isoperimetric surface problems in a large class of sub-Riemannian manifolds, the so-called Vertically Rigid spaces. We construct an adapted connection for such spaces and, using the variational tools of Bryant, Griffiths and Grossman, derive succinct forms of the Euler-Lagrange equations for critical points for the associated variational problems. Using the Euler-...

If π : M → B is a Riemannian Submersion and M has positive sectional curvature, O’Neill’s Horizontal Curvature Equation shows that B must also have positive curvature. We show there are Riemannian submersions from compact manifolds with positive Ricci curvature to manifolds that have small neighborhoods of (arbitrarily) negative Ricci curvature, but that there are no Riemannian submersions from...

Few studies have documented the response of gravitropically curved organs to a withdrawal of a constant gravitational stimulus. The effects of stimulus withdrawal on gravitropic curvature were studied by following individual roots of cress (Lepidium sativum L.) through reorientation and clinostat rotation. Roots turned to the horizontal curved down 62 degrees and 88 degrees after 1 and 5 h, res...

for the anterior vertical, posterior vertical and horizontal canals respectively. The differences in growth exponents between the anterior and posterior vertical semicircular canals and between the anterior vertical and horizontal semicircular canals were statistically significant (P < 002 and P < 005 respectively). 2. Body mass and standard length were almost equally good predictors of the rad...