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Oct 10, 2014 at 12:46 comment added Brian Moths Ok, so you are misinterpreting what the value of the distribution function means. See garyp's answer.
Oct 9, 2014 at 22:15 comment added user1886681 The motivation is being able to calculate the number of particles in a infinitestimally small bin for a gaussian-ly distributed ensemble. For example, if I want to know how many particles are in the bin at x=0, if it is N, as it is shown in the above gaussian distribution, then that means all my particles are located at x=0! Not something I want.
Oct 9, 2014 at 20:22 history edited Qmechanic CC BY-SA 3.0
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Oct 9, 2014 at 20:14 answer added garyp timeline score: 2
Oct 9, 2014 at 20:12 comment added Brian Moths What is the motivation behind condition 3? You realize that if you confine N particles to a region of radius .1, the density there will be higher than N, right?
Oct 9, 2014 at 19:20 history edited JamalS CC BY-SA 3.0
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Oct 9, 2014 at 19:18 history asked user1886681 CC BY-SA 3.0