Re: Re: Creating a Random Function to Select an Irrational

*To*: mathgroup at smc.vnet.net*Subject*: [mg102251] Re: [mg102239] Re: Creating a Random Function to Select an Irrational*From*: Andrzej Kozlowski <akoz at mimuw.edu.pl>*Date*: Mon, 3 Aug 2009 05:44:31 -0400 (EDT)*References*: <h50sss$743$1@smc.vnet.net> <200908021000.GAA01660@smc.vnet.net>

There is no need for Wolfram to create any RandomIrrational because for all effective purposes it already exists. You can generate generate a random real between 0 and one with an arbitrarily large number of digits, e.g. try RandomReal[{0, 1}, WorkingPrecision -> 1000] This is as good a way of generating irrationals as you can wish for and they are uniformly distributed. As I and others have pointed out, your original request makes no sense, as there is no such thing as a random number, there are only random sequences with a specified distribution. (Well, there are also numbers with "random digits", but these are essentially just random sequences of integers (digits)). Andrzej Kozlowski On 2 Aug 2009, at 19:00, BenT wrote: > I want to thank everyone who replied and who I've otherwise replied to > privately. The problem solutions offered were as interesting, to me, > as he problem definitions <g>. > > The randomness of the irrational set of numbers is not really the > emphasis, but having a virtural set of infinite length is, for them, > to be used as "seeds" for the RealDigits' function to convert them to > any number base from 2 thru 12 (for music scales) of any length (for > music melodies) for use in algorithmic musical compostion. Hopefully I > can constrain the results sufficiently with "arbitrary" rules to make > such melodies as "tonal" (or not) as desirable. > > Wolfram Research might consider creating a new function called perhaps > "RandomIrrational" the uses from none to three parameters, (1) if > none, it would return an irrational number between 0 and 1 exclusive; > (2) if one (an integer only greater than 1), then it would return an > irrational number from 1 to that integer exclusive; and (3) if 2, then > it would return an irrational number between the two integers > exclusive, and finally (4) if 3 oarameters are included, it would be > like number (2) except that it would be specific to the definition > used to create it (as from those defined on the webpage mentioned. >

**References**:**Re: Creating a Random Function to Select an Irrational***From:*BenT <brtubb@pdmusic.org>

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**Re: Creating a Random Function to Select an Irrational**

**Re: Creating a Random Function to Select an Irrational**