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You are not logged in. #1 20130514 17:32:58
Sum this.Hi; [latex fixed by admin] Fn is the nth Fibonacci number Last edited by ElainaVW (20130514 17:34:11) #2 20130514 17:35:50
Re: Sum this.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. #3 20130514 18:19:59
Re: Sum this.Hi ElainaVW 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 #4 20130515 20:10:42
Re: Sum this.Hi anonimnystefy; Last edited by ElainaVW (20130515 20:21:46) #5 20130515 20:23:27
Re: Sum this.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. #7 20130517 01:36:01
Re: Sum this.Hi ElainaVW; Congratulations on your new member status. 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. #8 20130517 01:41:15
Re: Sum this.Hi Bobby; #9 20130517 01:44:56
Re: Sum this.Hmmmm. 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. #10 20130517 02:01:14
Re: Sum this.Hi bobbym, How did you do that? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #11 20130517 02:07:50
Re: Sum this.Hi Agnishom; 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. #12 20130519 02:16:14
Re: Sum this.The Summation 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #13 20130519 06:00:18
Re: Sum this.Hi Agnishom; 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. #14 20130519 12:27:16
Re: Sum this.
I know nothing about them, Please teach 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #15 20130519 12:34:09
Re: Sum this.A generating function is nothing more than a power series where we do not care about the usual kaboobly doo called analysis, Radii of convergence, questions of convergence, analytical disks and even what the series converges to do not count. 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. #16 20130519 12:54:42
Re: Sum this.Yes. Please show 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #17 20130519 13:06:23
Re: Sum this.We start with the Daddy of all knowledge, the Taylor series. If f(x) = x / ( 1 x  x^2) then we get: Recognize those 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. #18 20130519 13:12:13
Re: Sum this.Yes. 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #19 20130519 13:19:29
Re: Sum this.That formula up there is the Taylor series. It says that most any function can be converted to and infinite series consisting of powers of x. ( some reservations here but trying to keep it simple and understandable) 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. #20 20130519 13:34:09
Re: Sum this.I entered the following into Maxima and it worked. Code:taylor( x / ( 1 x  x^2), x, 0, 8); next... 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #21 20130519 13:42:56
Re: Sum this.Now you are learning! 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. #22 20130519 13:47:50
Re: Sum this.
So far, so good... 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #23 20130519 13:48:58
Re: Sum this.Did you understand what I meant when I said indexed correctly? 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. #24 20130519 13:50:50
Re: Sum this.I overlooked that. Maybe you mean their order? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #25 20130519 13:54:15
Re: Sum this.That is correct. Notice the first Fibonacci number is 1 and it is the coefficient of x^1. The fourth Fibonacci number is 3 and it is the coefficient of x^4 Likewise, the tenth is 55 and it is the coefficient of x^10. 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. 