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You are not logged in. #9051 20130312 08:15:36
Re: Linear Interpolation FP1 FormulaThat is okay, we are all busy at some point. #9052 20130312 08:29:46
Re: Linear Interpolation FP1 FormulaI still did not get the can opener though. 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. #9053 20130312 08:31:17#9054 20130312 08:32:56
Re: Linear Interpolation FP1 FormulaSometimes that is good. No news is much better than bad news. 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. #9055 20130312 08:52:38
Re: Linear Interpolation FP1 FormulaBeen talking to my male friends though, I am going to a Steven Weinberg lecture in two days' time. Hopefully there is not a milelong queue like last time. #9056 20130312 08:54:13
Re: Linear Interpolation FP1 FormulaThat is very good. What is he speaking about? 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. #9057 20130312 09:16:59#9058 20130312 09:22:45
Re: Linear Interpolation FP1 FormulaHe is a good lecturer, an interesting guy. Especially when he is talking about philosophy. 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. #9059 20130312 10:24:27
Re: Linear Interpolation FP1 FormulaI have never heard him speak in person, I have only watched him on YouTube. You have seen him live? #9060 20130312 10:38:12
Re: Linear Interpolation FP1 FormulaNo, I have never seen him in person either. I have seen him in documentaries. 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. #9061 20130312 11:00:28
Re: Linear Interpolation FP1 FormulaMe too. I have heard him talk about the laws of nature most of the time though. #9062 20130312 11:33:08
Re: Linear Interpolation FP1 FormulaPost the problem and who knows what will happen. Could be the end of the world or maybe just a solution of sorts. 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. #9063 20130312 17:58:43
Re: Linear Interpolation FP1 FormulaHow many numbers from 10,000 to 100,000 (inclusive) contain only two different digits? (e.g. 32332, 11114, but not 10002) #9064 20130312 18:20:42
Re: Linear Interpolation FP1 FormulaHi; 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. #9065 20130312 18:23:29
Re: Linear Interpolation FP1 FormulaThat is correct... how did you get the GF for this? The thing I'm having trouble representing is the constraint that only 2 different numbers are allowed. I tried representing each possible digit of a 5digit number with polynomials of degree x^9, but I didn't know what to do with it... #9066 20130312 18:26:03
Re: Linear Interpolation FP1 FormulaThese type are always a little bit tricky. I will start to work on it as soon as I handle this spammer. 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. #9067 20130312 18:32:54
Re: Linear Interpolation FP1 FormulaOkay, thank you. #9068 20130312 18:47:19
Re: Linear Interpolation FP1 FormulaThere are other ways to get at it by standard combinatorics and experimental methods. Linear recurrence: with GF: I am going to take a little break. Last edited by bobbym (20130312 20:50:46) 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. #9069 20130313 05:17:36
Re: Linear Interpolation FP1 FormulaI keep staring at that and I haven't got a clue how you got that... #9070 20130313 09:12:56
Re: Linear Interpolation FP1 FormulaHi; 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. #9071 20130313 09:30:57
Re: Linear Interpolation FP1 FormulaOh, okay... thank you, though. I guess the other problem is deciding when to use a GF and when not to... I downloaded a book called 'Generatingfunctionology', I will read it and see if I can understand how these things work a bit more. I've heard it is good. #9072 20130313 09:43:47
Re: Linear Interpolation FP1 FormulaThat is a good book. Herbert passed away a little while back, he was the best all around mathematician of today. 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. #9073 20130313 09:46:20
Re: Linear Interpolation FP1 FormulaI had never heard of him previously, unfortunately... but it does look like a great read. It seems to cover everything I would need to know  one thing I was curious about is why exponential generating functions are used for permutations, and ordinary generating functions are used for combinations. I just learned it without understanding how someone found out that we could use them. #9074 20130313 09:53:23
Re: Linear Interpolation FP1 FormulaExponential gf's are made from the e^x series. Each term has a factorial. By themselves they do not count permutations. You need to multiply the correct power of x by the factorial of the power. 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. #9075 20130313 10:02:00
Re: Linear Interpolation FP1 FormulaOh, of course... that makes so much sense, so they just needed to find a series that combined an OGF with factorials in it. 