Timeline for creating vectors with normal distribution of lengths
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Feb 3, 2012 at 4:08 | vote | accept | BeauGeste | ||
| Feb 3, 2012 at 4:08 | |||||
| Feb 3, 2012 at 4:00 | answer | added | David | timeline score: 2 | |
| Feb 3, 2012 at 3:19 | comment | added | David Z | @BeauGeste I did the calculation and realized the normal distribution of lengths and the normal distribution of coordinates are actually the same thing (assuming a spherically symmetric angular distribution), which is why I deleted my comment ;-) | |
| Feb 3, 2012 at 3:18 | answer | added | David Z | timeline score: 7 | |
| Feb 3, 2012 at 3:16 | comment | added | kglr |
From Mma documentation on RandomReal I would have thought that you needed RandomVariate[...]; but, to my surprise, RandomReal[NormalDistribution[0,1]] generates standard normal random numbers,i.e., RandomReal does accept distribution functions as the first argument:)
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| Feb 3, 2012 at 3:05 | comment | added | BeauGeste | @J.M The vectors orientations are distributed over some portion of the sphere (with azimuthal symmetry and symmetric around polar angle of 90). So I think the negative part of the vectors is accounted for already through the angle distribution and that's why I didn't use the full normal distribution. | |
| Feb 3, 2012 at 2:57 | comment | added | J. M.'s missing motivation♦ |
Why not Normalize[] the vectors to have unit length, and then multiply the components with RandomReal[NormalDistribution[0,x]]? (I haven't posted as an answer since you make no mention of the distribution the vectors themselves are supposed to follow...)
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| Feb 3, 2012 at 2:47 | history | asked | BeauGeste | CC BY-SA 3.0 |