Motivated by the geodesic barycenter problem from optimal transportation theory, we prove a natural generalization of Blaschke–Santaló inequality and affine isoperimetric inequalities for many sets functions. We derive it an entropy bound total Kantorovich cost appearing in problem. also establish “pointwise Prékopa–Leindler inequality” show monotonicity property multimarginal Blaschke–Santaó f...

This study assess the measurement of overcrowding in Australia and explores relationships between various household density measures wellbeing occupants. Indicators incidence or severity crowding actually measure occupant density—the ratio occupants to available space—rather than crowding, which relates a psychological response sense excessive density. How is defined measured has important impl...

objectives: deterioration in postural control mechanisms is termed postural instability and results increased postural sway and many laboratory techniques and instruments are characterized by a wide range of neurological signs and symptoms to the medical management. thus the current study designed to assess the reliability of commonly used clinical measures of balance and determined normal valu...

background: laparoscopy or minimally invasive surgery is a surgical procedure in which laparoscope and other surgical instruments are inserted inside body via a few small incisions. laparoscope is used to look inside the patient's body and records displayed images. temporal segmentation of laparoscopic videos has many applications like detecting laparoscopic anomalies and interrupts. it is prer...