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You are not logged in. #126 20130621 19:58:16
Re: Define the intersection points of polynomialsThere could 3 intersections rather than 2. 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. #127 20130621 20:02:54#128 20130621 20:05:02
Re: Define the intersection points of polynomialsYes, you will need 6 equations when there are 3 points of intersection. 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. #129 20130621 21:11:01#130 20130621 21:24:33#131 20130621 22:23:47
Re: Define the intersection points of polynomialsThere is a better tool for constructing them because it is dynamic. It is called Geogebra. 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. #132 20130621 22:29:34#133 20130621 22:42:41
Re: Define the intersection points of polynomialsMathematica will solve the system and geogebra will construct it. 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. #134 20130621 22:48:19#135 20130621 22:50:37
Re: Define the intersection points of polynomialsPutting it together now. it will take some time to post it. Please hold. 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. #136 20130621 22:57:49#137 20130621 23:00:51
Re: Define the intersection points of polynomialsNo problem, I am filling in post #135 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. #138 20130622 00:17:57#139 20130622 04:12:19
Re: Define the intersection points of polynomialsI am getting for a3 you are saying that P(x3) is y3 which makes sense. 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. #140 20130622 04:35:40#141 20130622 04:41:25
Re: Define the intersection points of polynomialsOkay, I will see if I can solve the problem I posted in post 133  135. 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. #142 20130622 04:46:33#143 20130622 05:34:12
Re: Define the intersection points of polynomialsLook at these two equations: do you notice something different? 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. #144 20130622 05:39:49#145 20130622 05:49:47
Re: Define the intersection points of polynomialsThe a3 has coefficients in it, a0, a1, a2. While the formula for a2 does not have any coefficients in it. 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. #146 20130622 05:58:44#147 20130622 06:06:38#148 20130622 06:18:40
Re: Define the intersection points of polynomialsYes, if you wanted to solve for the a's too. But you can substitute for those a's with earlier terms can you not? 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. #149 20130622 06:21:41
Re: Define the intersection points of polynomialsWhat do you mean? #150 20130622 06:25:58
Re: Define the intersection points of polynomialsHi guys 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 