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marks2c		#1 Posted : 07 January 2023 01:08:49(UTC)
Rank: Advanced Member Groups: Registered Joined: 01/04/2020(UTC) Posts: 85 Location: Wellington Was thanked: 4 time(s) in 3 post(s)		This matrix generator (thanks gUrrozEN) produces random 'equal-probability' values for a given center value and tolerance band. I'm hoping to revise this to return values within a normal/Gaussian probability as illustrated: Random to Normal.sm (43kb) downloaded 3 time(s). Any thoughts? Edited by user 07 January 2023 03:37:44(UTC)  | Reason: Not specified
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Jean Giraud		#2 Posted : 07 January 2023 04:47:00(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: marks2c Any thoughts ? Native Smath plugins generate uniform randoms. The Central Theorem proves that enough uniform randoms generate a Normal Distribution. You simply need to bin in an histogram utility. Is that is what you are looking for ? Otherwise, I don't understand your request. Cheers ... Jean.
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marks2c		#3 Posted : 07 January 2023 08:07:39(UTC)
Rank: Advanced Member Groups: Registered Joined: 01/04/2020(UTC) Posts: 85 Location: Wellington Was thanked: 4 time(s) in 3 post(s)		Thank you for the reply Jean. I'm after a method or function that will return a random value with the probability that 68.2% of the time it will be within 1 sigma, and 95.4% of the time it will be within 2 sigmas, etc. Edited by user 07 January 2023 11:35:10(UTC)  | Reason: Not specified
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Razonar		#4 Posted : 07 January 2023 10:13:06(UTC)
Rank: Advanced Member Groups: Registered Joined: 28/08/2014(UTC) Posts: 1,356 Was thanked: 815 time(s) in 516 post(s)		Hi. For 'convert' random uniform distributed numbers between 0 and 1 to another probability distribution, in your case, for get some normal distributed numbers you can use the inverses of the cdf distributions. You can check that here for 1000 numbers you have the desired mean and std deviation so, I guess that in your function rmat this is the function for normal distributed numbers random to nomral.sm (6kb) downloaded 8 time(s). Best regards. Alvaro.
1 user thanked Razonar for this useful post.		on 07/01/2023(UTC)
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marks2c		#5 Posted : 07 January 2023 11:32:57(UTC)
Rank: Advanced Member Groups: Registered Joined: 01/04/2020(UTC) Posts: 85 Location: Wellington Was thanked: 4 time(s) in 3 post(s)		Thanks Alvaro, very greatly appreciated. For me, the sample file has a problem:
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Razonar		#6 Posted : 07 January 2023 11:55:38(UTC)
Rank: Advanced Member Groups: Registered Joined: 28/08/2014(UTC) Posts: 1,356 Was thanked: 815 time(s) in 516 post(s)		Hi. I mean: substitute that M[i,j] into your rmat(...) function for get normal distributed numbers with the rmat algorithm instad uniform distributed ones. Best regards. Alvaro.
1 user thanked Razonar for this useful post.		on 07/01/2023(UTC)
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Jean Giraud		#7 Posted : 07 January 2023 17:22:38(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: marks2c Thank you for the reply Jean. I'm after a method or function that will return a random value with the probability that 68.2% of the time it will be within 1 sigma, and 95.4% of the time it will be within 2 sigmas, etc. I don't understand completely ... sorry. However, from a native random sigma, you can solve for a desired other one. Cheers, be good Down Under ... Jean. Random NORMAL Histogram Copy.sm (45kb) downloaded 3 time(s).
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marks2c		#8 Posted : 07 January 2023 21:44:13(UTC)
Rank: Advanced Member Groups: Registered Joined: 01/04/2020(UTC) Posts: 85 Location: Wellington Was thanked: 4 time(s) in 3 post(s)		Thank you both. Alvaro: perfect, thank you. Here is the working update: 20230109 Random to Normal.sm (55kb) downloaded 8 time(s). Edited by user 09 January 2023 06:48:25(UTC)  | Reason: Updated with the finished item.
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marks2c		#9 Posted : 09 January 2023 07:41:49(UTC)
Rank: Advanced Member Groups: Registered Joined: 01/04/2020(UTC) Posts: 85 Location: Wellington Was thanked: 4 time(s) in 3 post(s)		See the updated post above.
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Jean Giraud		#10 Posted : 09 January 2023 18:44:09(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: marks2c See the updated post above. 20230109 Random to Normal_1.sm (82kb) downloaded 7 time(s).
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