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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 9,577 of 10,432    |
|    Richard Fateman to bursejan@gmail.com    |
|    Re: A brief essay on division    |
|    12 Jul 17 16:44:44    |
      From: fateman@cs.berkeley.edu              On 7/12/2017 3:35 PM, bursejan@gmail.com wrote:       > Look for yourself, I cant do all your homework,       > what am I here your nanny or what?              You can't even do your own, self-assigned, homework.       >        you even don't know a single paper       > that compares any GCD with GB for GCD.              Right. So far as I know, no one has ever written a paper that compares any       plausible GCD algorithm with the (implausible) use of GB.              If a paper has been written, it might not be publishable for       the reason that it is an implausible, bad idea. You could       write a paper, except that your results so far show that       a GB algorithm written in Prolog is something like 3000x       slower than the competition on trivial (degree 2, 2 variable)       inputs.              ....       In the paper by Zippel, which you found in M. Monagan's course readings,                     you quote "The algorithms EZ, mod, red all get easily killed!"              Sure;       Zippel chose particular bad cases to show that SPMOD (the default       in Maxima) wins big in those cases. He says "This example was carefully       designed       so that all the GCDS were "bad zero" problems..."               The actual probability of those cases showing       up in practice may be quite low. However, Monagan seems to think       the paper is worth reading for his course.               You complain that you have to run it through OCR. You think that       even with perfect copy you would get Omnipage to recognize       subscripts and exponents and products?              The first 3 or 4 smaller tests are not much to type in. polynomials       of degree 2 in 2 or 3 variables with single-digit integer coefficients...              Your credible dips to new lows.              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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