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May 30, 2020 · Where is the NTT DoCoMo PC990 service forum?. 12th Street, Fifth Avenue, New York City, New York | for Netcast features and to download a game. uk sprint maps of the uk.Q:

What is the best way to implement the term «constrained random walk» with coins?

If I have a coin, what is the best way to modify the coin so that it is constrained to move in a certain direction?
In other words, when a coin is tossed, the direction it flies is constrained to be in a half circle. What is the best way to implement this constraint in code?
I know that if we have a coin and a direction and force it to move in that direction, we just implement a force and change the direction if the angle is greater than pi/2. But how do we do this with a coin?

A:

The last bit of the problem is to properly implement a random number generator that maps a number in a half circle (defined as 0 -> pi/2, pi -> 0, pi/2+pi -> pi, 0 -> -pi). You can use the well known Mersenne Twister.
Then the problem boils down to: having a coin and applying a force F such that the coin can be tossed in the z direction with a probability given by the distribution (Fcos(theta), Fsin(theta)) where theta is the angle measured from the x-axis, and the position of the theta (i.e. the t-axis) can be obtained from the Mersenne Twister.
If you look at the figure below the case when the theta is greater than pi/2, the theta-axis is rotated clockwise, while the theta-axis is rotated counter-
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