Vibration analysis for a cable with concentrated loads (mass) has been studied by many researchers under certain assumptions (e.g. see [1], [2]). This paper is to present an analytic method for analyzing sagged cables which have small equilibrium curvature and horizontal supports under both distributed and concentrated loads. The loads are applied at vertical as well as horizontal directions. C...

In the present paper, we establish some basic inequalities involving Ricci and scalar curvature of vertical horizontal distributions for hemi-slant submersions having total space a complex form. We also discuss equality case obtained provide illustrative examples.

Motivated by a classical result of Finn and Osserman (J Anal Math 343(12):351–364, 1964), who proved that the Jenkins–Serrin graph over square inscribed in unit disk is extremal for Gaussian curvature point O (so-called centre) minimal graphs above center 0 disk, provided tangent plane horizontal, we ask answer to question concerned "second derivative" such its at zero. We prove extremals are c...

one of the main goals of interpretation of gravity data is to detect location and edges of the anomalies. edge detection of gravity anomalies is carried out by different methods. terracing of the data is one of the approaches that help the interpreter to achieve appropriate results of edge detection. this goal becomes a complex task when the gravity anomalies have smooth borders due to gradual ...

Using the visual search method, we show that stimuli that contain curvature discontinuities (i.e., points where the second derivative along an image contour is not defined) are easily found among stimuli containing only smooth changes in curvature. Curved stimuli that lack curvature discontinuities, however, are difficult to find among distractors that have them. These results suggest that the ...

OBJECTIVE To develop a new method to describe cervical spine curvature and evaluate the potential for injury in the upper and lower cervical spine during simulated whiplash. DESIGN A method was developed to integrate the upper and lower cervical spine rotations and describe the spine curvature. BACKGROUND In vivo and in vitro whiplash simulations have documented the development of an S-shap...