Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #26 20130519 13:58:16
Re: Sum this.Yes, that I've seen '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 #27 20130519 14:05:34
Re: Sum this.Now the notation does the rest. We can write Where is the nth Fibonacci number. 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. #28 20130519 14:18:42
Re: Sum this.Hmmm... '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 #29 20130519 14:21:05
Re: Sum this.One second we are getting there. 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. #30 20130519 14:25:08
Re: Sum this.Yes, thats just the same thing with some more notation '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 #31 20130519 14:28:55
Re: Sum this.Okay, if we substitute 1 / 5 for x we get, (1/5), ( 1/5)^2, (1/5)^3... 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. #32 20130519 14:32:41
Re: Sum this.yes great! Awesome! '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 #33 20130519 14:37:01
Re: Sum this.I have not changed anything on the LHS, so lets do that now. Make the substitution: 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. #34 20130519 14:38:19
Re: Sum this.We are done with that, I guess... '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 #35 20130519 14:41:04
Re: Sum this.You do not have to, x / (1  x  x^2) is the generating function. Each problem has a different gf usually. Some are so useful they have hundreds of uses for that gf like the Catalan numbers, 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. #36 20130519 14:44:23
Re: Sum this.
How did you come to know? '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 #37 20130519 14:46:37
Re: Sum this.Because basically they are derived from the recurrence that states the problem. f(n) = f(n1) + f(n2). That is one way. 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. #38 20130519 15:55:31
Re: Sum this.Would you show their derivation? '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 #39 20130519 16:20:44
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. #40 20130519 17:06:33
Re: Sum this.http://en.wikipedia.org/wiki/Fibonacci_ … wer_series '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 #41 20130519 17:12:43
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. #42 20130519 17:26:46
Re: Sum this.But, I thought you were talking about this one '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 #43 20130519 21:08:41
Re: Sum this.Hi; multiply the LHS by x^n and sum over n+1 to get,. On the RHS we get: Solving for F(x) we get: 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. #44 20130519 22:47:14
Re: Sum this.How did you get that by multiplying the LHS with x^n? '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 #45 20130519 22:49:41
Re: Sum this.Beats me! Herbert is about 200 times smarter than me. 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. #46 20130519 23:07:54
Re: Sum this.Does it mean you understand it neither? '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 #47 20130519 23:13:37
Re: Sum this.I do not understand his derivation. I rarely understand someone else's proof or program. I always have to do it myself to have any chance. 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. #48 20130519 23:15:40
Re: Sum this.What is a programmable calculator? '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 #49 20130519 23:20:11
Re: Sum this.Today they call them graphic calculators. 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. #50 20130522 12:34:14
Re: Sum this.How is the taylor series of sin found out? '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 