Goldman, Joichi, and White proved a beautiful theorem showing that the falling factorial generating function for the rook numbers of a Ferrers board factors over the integers. Briggs and Remmel studied an analogue of rook placements where rows are replaced by sets of m rows called levels. They proved a version of the factorization theorem in that setting, but only for certain Ferrers boards. We...

The present study attempted deriving and solving the falling- cylinder governing equations for power law model non-Newtonian fluids. Based on this theoretical study, a novel falling- cylinder rheometer (FCR) was designed and constructed to measure the Theological properties of non-Newtonian fluids. Different falling cylinders with predesigned densities were used to determine the apparent viscos...

The objective is to remove rain from videos without blurring the object. The algorithm helps to devise the system which removes rain from videos to facilitate video surveillance, and to improve the various visionbased algorithms. Rain is a noise that impairs videos and images. Such weather conditions will affect stereo correspondence, feature detection, segmentation, and object tracking and rec...

1. Organisms live surrounded by air or water, which exert drag on an organism when moving. These forces are significant ecologically because they can affect organisms’ distribution, behaviour or dispersal. 2. Appropriate techniques for measuring or estimating these forces vary greatly depending on the magnitude of the forces and the flow pattern of the moving fluid (air or water; both gases and...

An aspect of gaze processing, which so far has been given little attention, is the influence that intentional gaze processing can have on object processing. Converging evidence from behavioural neuroscience and developmental psychology strongly suggests that objects falling under the gaze of others acquire properties that they would not display if not looked at. Specifically, observing another ...

Rook theory has been investigated by many people since its introduction by Kaplansky and Riordan in 1946. Goldman, Joichi and White in 1975 showed that the sum over k of the product of the (n− k)-th rook numbers multiplied by the k-th falling factorial polynomials factorize into a product. In the sequel, different types of generalizations and analogues of this product formula have been derived ...

A desktop experiment to demonstrate the linear and quadratic velocity dependence of drag on an object falling in a resistive medium was developed for an undergraduate laboratory. The motion of ball bearings dropped into a cylinder filled with fluid is captured and measured using computer-based imaging. The terminal velocity of falling spheres is measured as a function of size at low and high Re...

Objective(s): Cognitive defects such as learning and memory impairment are amongst the most repetitious sequelae after sever and moderate traumatic brain injury (TBI). It was suggested that ellagic acid (EA), an innate phenol product, display neuroprotective properties against oxidative and inflammatory damages after brain injury. The object of the current study was therapeutic properties of EA...