a disk wang-bézier type generalized ball curve is a wang-bézier type generalized ball curve whose control points are disks in a plane. it can be viewed as a parametric curve with error tolerances. in this paper, we discuss the problem of degree reduction of disk wang-bézier type generalized ball curve, that is, bounding disk wang-bézier type generalized ball curves with lower degree disk wang-b...

A disk Wang-Bézier type generalized Ball curve is a Wang-Bézier type generalized Ball curve whose control points are disks in a plane. It can be viewed as a parametric curve with error tolerances. In this paper, we discuss the problem of degree reduction of disk Wang-Bézier type generalized Ball curve, that is, bounding disk Wang-Bézier type generalized Ball curves with lower degree disk Wa...

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...

simulation of grinding circuits has being performed from 30 years ago and is also to be more complete and powerful approach with improvement of mathematical models which simulate various processing units/machines. the modeling and simulation of various mineral processing circuits are presently performed. in order to simulate the present grinding circuits of esfordi phosphate processing plant, a...

in this research, the efficiency of the comminution circuit as well as the efficiency of size classification equipment of the concentrator plant 2 of sarcheshmeh copper complex was studied. the comminution circuit of this plant includes one sag mill in a closed circuit with a vibrating screen and one ball mill with a size classification system of hydrocyclone. the goal of this work was to calcu...