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You are not logged in. #176 20130622 19:43:24#177 20130622 20:43:31
Re: Define the intersection points of polynomialsI could also write the routines to generate a problem in Mathematica with exact arithmetic. Leaving Geogebra out. The error would diminish greatly. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #178 20130623 03:13:29#179 20130623 03:22:58
Re: Define the intersection points of polynomialsHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #180 20130623 18:03:03
Re: Define the intersection points of polynomialsTo be honest, I want to know if by having 2n equations #181 20130623 19:25:17
Re: Define the intersection points of polynomialsEach set of polynomials of n degree can only intersect at n points. Each point will have 2 variables x and y. You will need 2n equations to solve for them. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #182 20130623 20:31:46
Re: Define the intersection points of polynomialsI thought we already got to this conclusion before. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #183 20130623 22:13:29
Re: Define the intersection points of polynomialsThe evidence supports this but there are practical considerations. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #184 20130720 09:33:10#185 20130720 15:32:34
Re: Define the intersection points of polynomialsIf you mean solved modulo 1...n, then Mathematica might be able to handle the job. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #186 20130720 17:44:52
Re: Define the intersection points of polynomialsYes I meant a Finite feild generated by a prime n or an irreducible polynomial. Last edited by Herc11 (20130720 17:55:22) #187 20130720 19:27:11
Re: Define the intersection points of polynomialsHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #188 20130720 19:52:46
Re: Define the intersection points of polynomialsNo..It is not easy to test it. I have written in C a galois field multiplier and divider for an irreducilbe polynomial of degree 128. Last edited by Herc11 (20130720 19:56:23) #189 20130720 21:38:35
Re: Define the intersection points of polynomialsHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #190 20130720 21:39:53#191 20130720 21:46:16
Re: Define the intersection points of polynomialsIsn't that covered in his "power extraction algorithm?" Of course, he has gone on and on with his existence proofs but I do not see an implementation so far. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #192 20130720 21:51:36#193 20130721 03:04:47
Re: Define the intersection points of polynomialsHe mentions it in the pdf you provided. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #194 20130721 17:31:07
Re: Define the intersection points of polynomialsIf we try a different approach and instead replacing the to the formula we writethen the formula will be e.g for 3 degree polynomials So If again we know we need a ste of 2x3=6 such polynomials to solve the system and the system remains linear i.e. to get the afterwards that we have defined we can solve and recover the missing intersection points. So it seems that it can be solved over GF. I think... #195 20130721 19:14:27
Re: Define the intersection points of polynomialsWouldn't a0, a1, a2,... all have to be members of the GF? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #196 20130721 19:30:56#197 20130721 19:47:51
Re: Define the intersection points of polynomialsHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #198 20130721 19:55:16#199 20130721 20:35:08
Re: Define the intersection points of polynomialsThat the a0, a1, a2... will all be integers let alone mebers of that set? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #200 20130721 20:43:27
Re: Define the intersection points of polynomialsAll the variables known and unknown will be elements of a Galois Field. Multiplication Division, addition(=substraction) will be defined over the GF. The result of the operations will be GFs too. They are not integers but elements of the GF. I mean that alla the problem will be defined and solved over the GF. 