We study the behavior of the Gauss-Bonnet integrand on the level sets of a holomorphic function in a neighborhood of an isolated critical point. This is a survey of some older results of Griffiths, Langevin, Lê and Teissier. It is a blend of classical integral geometry and complex Morse theory (a.k.a Picard-Lefschetz theory). Motivation Consider the family of plane complex curves Ct = { (x, y))...

Introduction: Computed tomography (CT) is a medical imaging modality that produces 3-D cross-sectional images of tissues using several X-ray projections at different angles. Since its introduction in the 1970s, CT usage has been on the increase for both adults and pediatrics. A major challenge of this modality is the high doses of radiation exposure to patients, especially in p...

We study planar random motions with finite velocities, of norm $$c>0$$ , along orthogonal directions and changing at the instants occurrence a nonhomogeneous Poisson process rate function $$\lambda = \lambda (t),\ t\ge 0$$ . focus on distribution current position $$\bigl (X(t), Y(t)\bigr ),\ in case where motion has deviations also reflection is admitted. In all cases, located within closed squ...

conclusions in cases of pontaneous pneumothorax, chest x ray and computerised tomographic scan have limitations. ct scan in combination with video assisted thoracoscopic surgery improves diagnostic accuracy and facilitates appropriate management of non-resolving spontaneous pneumothorax. objectives a 15 year old boy presented to the referring hospital with a right sided spontaneous pneumothorax...

OBJECTIVE Computed tomography (CT), rather than conventional 2-dimensional radiography, was used to scan and measure pelvic parameters. The results were compared with measurements using X-ray. METHODS Pelvic parameters were measured using both CT and X-ray in 254 patients who underwent both abdomino-pelvic CT and X-ray at the pelvic site. We assessed the similarity of the pelvic parameters be...