tag:blogger.com,1999:blog-264226589944705290.post8136582455508472149..comments2023-10-02T04:09:17.390-07:00Comments on God Plays Dice: A factoring trickMichael Lugohttp://www.blogger.com/profile/15671307315028242949noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-264226589944705290.post-82107089703808264212009-12-24T12:12:43.635-08:002009-12-24T12:12:43.635-08:00Online Casino Gambling tyuueooru
Free Casino Play...Online Casino Gambling tyuueooru<br /><a href="http://www.nhgaa.org/" rel="nofollow">Free Casino Play</a><br />Reliable Online Casinos<br />Get free welcome bonus when depositing for the first time! You'll get 100% free with your first deposit or up to $20.<br />[url=http://www.nhgaa.org/]Casino Bonus[/url]<br /> In fact, there is no risk at all.<br />http://www.nhgaa.org/ - Internet Casino<br /><br />Also, check out whether or not their customer service is available 24/7.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-5090397949737248442008-04-12T16:28:00.000-07:002008-04-12T16:28:00.000-07:00I can barely do my invoice factoring, let alone po...I can barely do my <A HREF="http://www.onlinecheck.com/invoice_factoring/accounts_receivable_financing.html" REL="nofollow">invoice factoring</A>, let alone polynomial factoring! pass me a calculator!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-29282687064020403542008-03-19T18:53:00.000-07:002008-03-19T18:53:00.000-07:00This is Kronecker's algorithm for factoring polyno...This is Kronecker's algorithm for factoring polynomials. The beauty of it is that, although it is terribly inefficient, it at least always reduces the problem to a finite calculation. Given a polynomial of degree n with integral coefficients, compute n+1 values at integers. If are are zero, you immediately get a factor. If they are all nonzero, then each has only finitely many factorizations, and considering each possibility will lead to all possible factorizations of the original polynomial.<BR/><BR/>Lattice basis reduction methods can factor polynomials over Q in polynomial time, so Kronecker's method is only of historical interest in the univariate case, but it is still by far the easiest algorithm to explain from scratch.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-82825589387964748862008-03-10T13:25:00.000-07:002008-03-10T13:25:00.000-07:00yes cool.yes cool.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-86847175713710518132008-03-06T21:04:00.000-08:002008-03-06T21:04:00.000-08:00Carl -- cool! I'll have to find out how that works...Carl -- cool! I'll have to find out how that works sometime...Aaronhttps://www.blogger.com/profile/18281785407407667986noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-63412091949454898782008-03-06T09:56:00.000-08:002008-03-06T09:56:00.000-08:00This is how computer algebra systems factor multiv...This is how computer algebra systems factor multivariate polynomials: substitute values for the variables to get a univariate or bivariate polynomial, factor that, then "lift" the factors back to the original polynomial.Unknownhttps://www.blogger.com/profile/03381446726099887645noreply@blogger.com