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You are not logged in. #51 20110807 01:37:23
Re: Getting an asymptotic form for a GF.Hi; 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. #52 20110807 02:13:22
Re: Getting an asymptotic form for a GF.Yes, you are right. "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #53 20110807 02:18:05
Re: Getting an asymptotic form for a GF.Hi gAr; 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. #54 20110807 02:18:48
Re: Getting an asymptotic form for a GF.Okay, see you later. "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #55 20110811 21:08:34
Re: Getting an asymptotic form for a GF.It is obvious that there is no one way to get these. We wish to get the an asymptotic form for the coefficients of z^n The Wilf partial fraction: That stumped me for a long time. Since I know Wilf uses maple he should have at least shown the command that will do this. He did not and till now I never figured it out. By using z = {2,1,0,1,2,3} we can form the six equations we need to achieve Wilf's partial fraction. One of the solutions to this set of simultaneous equations is: So No simplifying done to preserve clarity and structure. Now from expanding manually the coefficient of z^20 is 3968.24698980352. Try g(20)... 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. #56 20110811 21:21:48
Re: Getting an asymptotic form for a GF.Hi bobbym, "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #57 20110811 21:33:01
Re: Getting an asymptotic form for a GF.Yes, because the denominator only has one real pole, subtracting it off 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. #58 20130408 01:06:35
Re: Getting an asymptotic form for a GF.
Knuth idea? 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 #59 20130408 01:14:19
Re: Getting an asymptotic form for a GF.Hi; 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. #60 20130408 01:23:01
Re: Getting an asymptotic form for a GF.What is that Knuth idea? 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 #61 20130408 01:25:40
Re: Getting an asymptotic form for a GF.Hi; 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. #62 20130408 01:29:21
Re: Getting an asymptotic form for a GF.Is it in a book? 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 #63 20130408 01:30:52
Re: Getting an asymptotic form for a GF.Yes, "Concrete Mathematics" Knuth, Graham and Patashnik. 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. #64 20130408 01:32:06
Re: Getting an asymptotic form for a GF.I will have to look at it. 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 #65 20130408 01:33:37
Re: Getting an asymptotic form for a GF.Do that right now! It is a very good book and you will find it interesting perhaps it will be your favorite. 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. #66 20130408 01:47:04
Re: Getting an asymptotic form for a GF.2nd edition? 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 #67 20130408 01:58:33
Re: Getting an asymptotic form for a GF.Yes, p345 on. 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. #68 20130408 02:13:50
Re: Getting an asymptotic form for a GF.Okay, I just needed to know if that is the one I need to find. 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 #69 20130408 02:15:11
Re: Getting an asymptotic form for a GF.Yes, 2nd edition get your copy while supplies last. 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. #70 20130408 02:29:33
Re: Getting an asymptotic form for a GF.I have. 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 #71 20130408 02:36:56
Re: Getting an asymptotic form for a GF.Very good. gAr likes it a little more than I do but we both like 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. 