Consider the Newtonian potential of a homogeneous bounded body D ⊂ R3 with known constant density and connected complement. If this potential equals to c/|x| in a neighborhood of infinity, where c > 0 is a constant, then the body is a ball. This known result is now proved by a different simple method. The method can be applied to other problems.

Example 3. How many ways are there to put m balls into n bins. Assume m ≤ n. 1. Balls are distinct and bins are distinct. Every ball has n choices. Hence n. Exercise 2. Why is the answer not m by looking at the opposite argument. 2. Balls are not distinct but bins are distinct. Take m identical balls and n− 1 identical sticks and permute them. Every permutation gives a different arrangement. So...

Shear-Thickening Fluids (STFs) are a special Non-Newtonian Fluid that act like a solid when they experience a force. A simple example of this is a mixture of cornstarch and water. In this experiment, I text this mixture’s STF properties by using a ball drop to simulate an impact. By varying the ball drop height (and thus the force upon impact), and observing the bounce height, I determined wher...

In this paper a four-ball-best-ball (4BBB) model for pairs of golf players is set up. The 4BBB match-play scoring system is seen to satisfy a basic requirement of fairness. It is shown that it is not strictly possible to rate individual players as 4BBB players. However, a (reasonably broad) class of individual players is identified such that it is possible to rate them individually as 4BBB play...

At last the date for the 1935 "Engineer," Rice's first formal ball of the season, has been set, It will be held at the Houston Club on November the ninth. Kit Reid, with the best orchestra Rice has ever had, has agreed to furnish the music. So the stage is again set for a most successful affair. As in the past, the exact decorations for the dance will be held secret until the ball itself. But u...

This paper presents the concept, working prototype and design space of a two-handed, hybrid spatial user interface for minimally immersive desktop VR targeted at multi-dimensional visualizations. The user interface supports dual button balls (6DOF isotonic controllers with multiple buttons) which automatically switch between 6DOF mode (xyz + yaw,pitch,roll) and planar-3DOF mode (xy + yaw) upon ...

let ( r,m ) be a noetherian local ring, a an ideal of r and m a finitely generated r- module. we investigate some properties of formal local cohomology modules with respect to a serre subcategory. we provide a common language to indicate some properties of formal local cohomology modules. let ( r,m ) be a noetherian local ring, a an ideal of r and m a finitely generated r- module. we investigat...

Using the notion of formal ball, we present a few new results in the theory of quasi-metric spaces. With no specific order: every continuous Yoneda-complete quasi-metric space is sober and convergence Choquet-complete hence Baire in its d-Scott topology; for standard quasi-metric spaces, algebraicity is equivalent to having enough center points; on a standard quasi-metric space, every lower sem...