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You are not logged in. #11251 20130606 20:38:10
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. #11252 20130606 20:40:32
Re: Linear Interpolation FP1 FormulaI wrote it out as a product of 3 series and then looked at the different ways of making x^66. There is a nice pattern so it only takes a couple of minutes. #11253 20130606 20:45:43
Re: Linear Interpolation FP1 FormulaYou used a binomial expansion for each one? 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. #11254 20130606 20:48:44
Re: Linear Interpolation FP1 FormulaNo, only for (1  x^6)^(2). The other two products are simple geometric series so you can use the same method you described to get the coefficients. #11255 20130606 20:52:30
Re: Linear Interpolation FP1 FormulaLuckily they are only asking for small 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. #11256 20130606 20:58:02
Re: Linear Interpolation FP1 FormulaIt should still be OK no matter what coefficient they asked for  there is a nice pattern. #11257 20130606 21:00:12
Re: Linear Interpolation FP1 FormulaYes, I am getting 1,1,1,2,2,2,5,5,5,8,8,8,14,14,14... 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. #11258 20130606 21:03:38
Re: Linear Interpolation FP1 FormulaHmm, I didn't notice that... still, I am really surprised this question is in STEP II, it seems almost a giveaway! #11259 20130606 21:07:31
Re: Linear Interpolation FP1 FormulaSorry, nothing to do with the tribonacci 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. #11260 20130606 21:45:21
Re: Linear Interpolation FP1 FormulaWhat do you think of the other questions? #11261 20130606 21:49:53
Re: Linear Interpolation FP1 FormulaI thought it was generally pretty tough. Not the kind of questions that come quickly. 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. #11262 20130606 22:02:59
Re: Linear Interpolation FP1 FormulaYes, some questions in STEP do take a while to get started on. Generally they set Q1 to be a question that everyone can at least attempt without much advanced knowledge... the grade boundaries for this paper were: #11263 20130606 22:05:38
Re: Linear Interpolation FP1 FormulaYou will be taking the 2013 soon? 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. #11264 20130606 22:07:52
Re: Linear Interpolation FP1 FormulaYeah, STEP II is in 13 days. I am more worried about STEP III, that has always been my weakest one... #11265 20130606 22:12:44
Re: Linear Interpolation FP1 FormulaWhen you do well with the STEP II and III what advantage will you 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. #11266 20130606 22:22:23
Re: Linear Interpolation FP1 FormulaNone  just the grade. Normally, if people have a Cambridge offer, then they just have to get 1,1 in STEP II and III (or in F's case she only had to get 1,2 because she came from a (my) state school that doesn't offer any support with STEP). #11267 20130606 22:27:18
Re: Linear Interpolation FP1 FormulaLet me take a look at the Step III paper for 2012. 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. #11268 20130606 22:31:45
Re: Linear Interpolation FP1 FormulaOK but do not tell me anything about it. F said it was very hard and there were 4 questions with sums to infinity, and that the first question had an error in it... #11269 20130606 22:41:27
Re: Linear Interpolation FP1 FormulaDo not worry, I might not get any of them! 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. #11270 20130606 22:44:02#11271 20130606 22:49:08
Re: Linear Interpolation FP1 FormulaMaybe 1  4 can be worked on quickly. There is a product in there and a sum that may or may not be easy, I do not know. 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. #11272 20130606 22:50:27
Re: Linear Interpolation FP1 FormulaThanks. I really want to do this paper and get a 1  that would give me lots of confidence after STEP III 2011! #11273 20130606 22:56:10
Re: Linear Interpolation FP1 FormulaHopefully, you will do better than I am thinking I would do 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. #11274 20130606 23:09:05
Re: Linear Interpolation FP1 FormulaI am surprised that around 12% got an S in that paper last year. For some reason, STEP III always has the highest proportion of Sgrades compared to STEP II and I. #11275 20130606 23:11:36
Re: Linear Interpolation FP1 FormulaThere are 2 DE's on this one. F can handle them? 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. 