Exercise30.java

	public class Exercise30 {
 public static void main(String arg[]) {
 // Simulate brownian motion of a particle being bounced around a a flat surface.
 // This is nearly the same as Exercise29, but in two dimensions. The position
 // is recorded using two numbers, x and y. At each step, the position should
 // change by adding two random numbers dx and dy, respectively, each of
 // which is a random number between -1.0/sqrt(2) and +1.0/sqrt(2).
 // 
 // Try the same experiments as in Exercise29 to see if the distance
 // reached is usually less than sqrt(N).
 //
 // Note: In the above description, the particle can move at most
 // 1.0/sqrt(2) in the x direction and 1.0/sqrt(2) in the y direction
 // on each single step. In other words, it can move at most 1.0
 // diagonally, but it would never move 1.0 directly to the right 
 // or directly up, or down, or left). Try modifying your code so
 // that the particle moves in a more "balanced" way: first pick
 // a random angle between 0 and 2*pi. Then move an amount sin(angle)
 // in the x direction, and cos(angle) in the y direction. This will
 // ensure the particle always moves exactly 1.0 distance in some
 // random direction.
 // Or, you can do the same, but also pick a random distance between
 // 0.0 and 1.0, and move d*sin(angle) in the x direction and d*cos(angle)
 // in the y direction. That means moving a random distance in a
 // random direction.
 
 
 }
 }