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You are not logged in. #376 20131213 16:39:53
Re: Generating FunctionsI have no 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 #377 20131213 21:12:09
Re: Generating Functions
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. #378 20131214 01:53:17
Re: Generating FunctionsHm? I just expanded the GF. 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 #379 20131214 03:09:41
Re: Generating FunctionsAnd the method to get the prime coefficients? 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. #380 20131214 03:19:01
Re: Generating FunctionsCode:gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000] CoefficientList[gf[x], x][[ Table[1 + Prime[i], {i, 169, 783}]]] // Total That's my code for the problem. 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 #381 20131214 03:25:41
Re: Generating FunctionsThat does not get the right answer?! 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. #382 20131214 03:43:39
Re: Generating FunctionsSubtract that from 1. 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 #383 20131214 03:44:47
Re: Generating FunctionsAre you sure? 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. #384 20131214 03:47:43
Re: Generating FunctionsYes, I am. 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 #385 20131214 03:55:59
Re: Generating FunctionsHi; 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. #386 20131214 04:15:16
Re: Generating FunctionsThat is not what I am getting. 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 #387 20131214 04:20:25
Re: Generating FunctionsCode:gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000] 1  CoefficientList[gf[x], x][[ Table[1 + Prime[i], {i, 169, 783}]]] // Total You are running that? 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. #388 20131214 04:54:45
Re: Generating FunctionsNo. Code:gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000] CoefficientList[gf[x], x][[ Table[1 + Prime[i], {i, 169, 783}]]] // Total Last edited by anonimnystefy (20131214 04:55:00) 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 #389 20131214 04:57:58
Re: Generating FunctionsOkay, then you subtract from 1. I see. 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. #390 20131214 05:22:08
Re: Generating FunctionsYes. 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 #391 20131214 05:24:06
Re: Generating FunctionsNow do you see if there is any value to the question? 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. #392 20131214 05:28:12
Re: Generating FunctionsBecause it cannot be solved by hand? 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 #393 20131214 05:29:52
Re: Generating FunctionsYes, so it is a good exercise for using M. 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. #394 20131214 05:35:33
Re: Generating FunctionsOkay, that much I got. is there any other way other than just brute force expanding, eg., an asymptotic form or something? 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 #395 20131214 05:37:24
Re: Generating FunctionsYes, there are many ways. 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. #396 20131214 05:46:11
Re: Generating FunctionsLike what? 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 #397 20131214 05:49:54
Re: Generating FunctionsThey are all computationally intensive but an asymptotic form is possible. Also, there is my paper on this problem except much, much larger. 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. #398 20131214 09:37:38
Re: Generating FunctionsCan you post the link? Last edited by anonimnystefy (20131214 09:38:18) 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 #399 20131214 10:07:09
Re: Generating FunctionsI do not have a link but I have notes on 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. #400 20131214 10:10:32
Re: Generating FunctionsCan you post them somehow? 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 