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You are not logged in. #8951 20130309 21:36:17
Re: Linear Interpolation FP1 FormulaTheir solution identifies a pattern then uses the standard sum for n^2 to get to that formula. I tried a GF approach and it is too messy, I don't think it is a good approach for this part of the problem... #8952 20130309 21:45:15
Re: Linear Interpolation FP1 FormulaI can generate a gf but I can not get the zeroth coefficient from 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. #8953 20130309 21:46:19
Re: Linear Interpolation FP1 FormulaI have the same problem too, it might be quicker to use the 'normal' method (the problem is aimed at students who have never encountered GFs). #8954 20130309 21:49:01
Re: Linear Interpolation FP1 FormulaOkay, I will have a look at that paper. Thanks for the link. 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. #8955 20130310 02:01:36
Re: Linear Interpolation FP1 FormulaI found out that she leaves only a couple of minutes before I do. She has early lessons on Tuesday and Wednesday, so I can meet her on the way to school on those days. #8956 20130310 02:05:09
Re: Linear Interpolation FP1 FormulaProbably some reason that will be difficult to understand. 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. #8957 20130310 02:08:22
Re: Linear Interpolation FP1 FormulaHer Dad has a PhD in physics, maybe he was pushy... #8958 20130310 02:09:27
Re: Linear Interpolation FP1 FormulaYeccchh! Ever heard of the teakettle principle? 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. #8959 20130310 02:30:39
Re: Linear Interpolation FP1 FormulaIsn't that when you simplify a problem to one you how to solve? I remember reading something about a joke, don't know what it is though... #8960 20130310 02:35:44
Re: Linear Interpolation FP1 FormulaA physicist and a mathematician are given an empty teakettle, a fire and a water supply and are asked to boil water. They both fill the teakettle, place it on the fire and boil the water. Now they are both given a teakettle already filled with water. The physicist after much thought shouts "Eureka" and places the teakettle on top of the fire and boils the water. The mathematician immediately empties his teakettle, the physicist asks why did you empty it? The mathematician says, "because I already know how to solve the empty teakettle problem." 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. #8961 20130310 02:40:36
Re: Linear Interpolation FP1 FormulaHaha, that is good. I'll remember that one. #8962 20130310 02:45:37
Re: Linear Interpolation FP1 FormulaVilenkin, the Russian combinatoricist is the source. 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. #8963 20130310 02:46:33#8964 20130310 02:52:26
Re: Linear Interpolation FP1 FormulaNeither did I until I came across his book. The Soviet authors did not get a lot of exposure over here. 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. #8965 20130310 03:02:35
Re: Linear Interpolation FP1 FormulaIt's the same here. We are never taught the history of any maths, or where things came from. #8966 20130310 03:08:52
Re: Linear Interpolation FP1 FormulaThat is what I have found. It is a shame, the history is fascinating. 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. #8967 20130310 03:13:43
Re: Linear Interpolation FP1 FormulaIt is a shame indeed. I was asking a maths teacher about Leibniz and do you know what he said? #8968 20130310 03:18:07
Re: Linear Interpolation FP1 FormulaI had a similar experience. I tried to compliment a supposedly pretty good math type with a phrase from Newton and one of the Bernoulli's. He had never heard of 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. #8969 20130310 03:20:00
Re: Linear Interpolation FP1 FormulaOh I see  I've seen them called 'PellFermat equations'... I do not really know what else Pell is famous for doing though. Pell equations are all I can associate with him. #8970 20130310 03:24:49
Re: Linear Interpolation FP1 FormulaI do not know about that one, I will have to look it up. 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. #8971 20130310 03:27:04
Re: Linear Interpolation FP1 FormulaI did not know that, and we never do question these things when we learn about them. I just accepted it... #8972 20130310 03:31:46
Re: Linear Interpolation FP1 FormulaI heard that. It is strange that in some cases they did not even get the name of the discoverer right. Makes you wonder what other mistakes there are. 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. #8973 20130310 03:45:06
Re: Linear Interpolation FP1 FormulaHopefully the errors are only historical ones... #8974 20130310 03:48:25
Re: Linear Interpolation FP1 FormulaThat is what we hope. I do not agree with cutting it out of the educational process. They should teach a little bit of the background of these men. 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. #8975 20130310 04:31:04
Re: Linear Interpolation FP1 FormulaEven fellow mathematicians care little for history or even for the beauty of maths itself. Not that those are necessary prerequisites to study it, though. 