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You are not logged in. #101 20130621 16:20:24
Re: Define the intersection points of polynomialsMaybe it is easier to understand what I was saying... #102 20130621 16:23:30
Re: Define the intersection points of polynomialsSo, you think that for quadratics you can determine the intersection point If you know the leading coef of 4 quads and one point from each of them. #103 20130621 16:25:37
Re: Define the intersection points of polynomials
The coordinates of intersection points aren't the only unknowns. What about the 2nd, the 3rd and the 4th coefficients of each polynomial? 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 #104 20130621 16:25:46
Re: Define the intersection points of polynomialsI am still working with your divided difference  Newton formula. 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. #105 20130621 16:30:52#106 20130621 16:32:09
Re: Define the intersection points of polynomialsFormula in post #98 checks out. 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. #107 20130621 16:33:41#108 20130621 16:37:22
Re: Define the intersection points of polynomialsI just found the intersection points of a new problem using it and it worked fine. You wrote that you were worried you made a mistake in writing 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. #109 20130621 16:40:41
Re: Define the intersection points of polynomialsOk. #110 20130621 16:48:49
Re: Define the intersection points of polynomialsHold on please we have the time to go slow. I am having trouble with post #99's formula. Please check 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. #111 20130621 16:57:37#112 20130621 17:06:34
Re: Define the intersection points of polynomialsThat was not the problem. The denominator is always 0. The upper limit on the product can not be k. 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. #113 20130621 17:31:36#114 20130621 17:47:44
Re: Define the intersection points of polynomialsHm, I am not sure. maybe it could work. I am not sure at all, now. 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 #115 20130621 17:48:50#116 20130621 17:54:44
Re: Define the intersection points of polynomialsI used a set of 12 equations. Each one was basically each point's coordinates inserted into the appropriate polynomial. 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 #117 20130621 17:56:43#118 20130621 19:27:53
Re: Define the intersection points of polynomialsOnly 4 equations for my problem are necessary. 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. #119 20130621 19:29:56#120 20130621 19:33:52
Re: Define the intersection points of polynomialsThe formula in post #99 is now working.
To test that would require a model problem. I do not have one yet. 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. #121 20130621 19:40:40#122 20130621 19:44:01
Re: Define the intersection points of polynomialsIt seems that is correct but a test always helps. 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. #123 20130621 19:50:27#124 20130621 19:51:20
Re: Define the intersection points of polynomialsIf we have cubics there is another difference. 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. #125 20130621 19:57:14 