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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 10,268 of 10,432    |
|    Richard Fateman to Jeff Barnett    |
|    Re: Symbolic-Numeric Integration    |
|    13 Sep 22 16:02:41    |
      From: fateman@gmail.com              Can someone explain how this is even plausible as a method to use for symbolic       integration?              Some probabilistic algorithms are used in computer algebra systems.. They work       like this:       The system will pick a "random" number (perhaps a random prime number less       than half the word size of       the computer you are using). If it picks a lucky number, the algorithm       finishes fast.       If it pick an unlucky number, the algorithm notices that this is an unlucky       number, and picks another one.       If it runs out of picks, the algorithm gives up with "failure of algorithm".              At no time is it acceptable for the algorithm to give a wrong answer, or for       the answer to depend on the       particular first choice of a number.              It seems that this program is just wrong if it depends on the random number       generator's seed being 12.              RJF              On Sunday, September 4, 2022 at 10:24:56 AM UTC-7, Jeff Barnett wrote:       > On 9/4/2022 1:21 AM, Nasser M. Abbasi wrote:       > > On 9/3/2022 11:25 PM, Jeff Barnett wrote:       > >> I would either       > >> give the system a fail because it is unreliable on that problem or I              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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