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You are not logged in. #11451 20130619 01:50:49
Re: Linear Interpolation FP1 FormulaSort of an emergency because STEP II is tomorrow morning... then the coefficient of x^n is if n is less than or equal to the middle coefficient (if it isn't, just use the opposite value of n, using the symmetry of the binomial expansion). But trying this out on other examples, this doesn't seem to work and at best seems to be an approximation, getting weaker for higher powers. Do you know the correct closed form for the coefficient of x^n in such an expansion? #11452 20130619 02:08:12
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. #11453 20130619 02:12:11#11454 20130619 02:21:28
Re: Linear Interpolation FP1 FormulaI think I have it, I do not know how we got confused back then . Let's try again. with k is the power, n is x^n. This should work fine. 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. #11455 20130619 02:42:15
Re: Linear Interpolation FP1 FormulaYeah, that's what I wrote at the top of the page  but it doesn't always seem to work... #11456 20130619 02:42:54
Re: Linear Interpolation FP1 FormulaWhich one does it not work for? Do you have an example? 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. #11457 20130619 02:44:59
Re: Linear Interpolation FP1 FormulaSuppose we want the coefficient of x^7 in: #11458 20130619 02:51:49
Re: Linear Interpolation FP1 FormulaThat is because that one is too short. To be on the safe side it should be at least: 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. #11459 20130619 02:53:42
Re: Linear Interpolation FP1 FormulaOh... #11460 20130619 02:57:27
Re: Linear Interpolation FP1 FormulaThat is a different problem then the one we were working on back around #9500. 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. #11461 20130619 03:13:20
Re: Linear Interpolation FP1 FormulaI understand, but this sort of thing will probably come up in either STEP I, II or III. It's usually the first question and they want you to do it 'systematically'  which takes 1525 minutes. But if I use a shortcut, it could take 2 minutes! In an exam where time is of the essence, those extra minutes could be a whole grade. #11462 20130619 03:18:51
Re: Linear Interpolation FP1 FormulaWhat ideas do you have to get it?
It is also not quite as simple as that either. What if you needed x^7's coefficient and the power was 1 000 000 000. Wolfram can not get that. 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. #11463 20130620 02:03:26
Re: Linear Interpolation FP1 FormulaI was not aware it was an open field of research. Did you say you were writing a paper on it? How many different formulae have they found? #11464 20130620 02:07:02
Re: Linear Interpolation FP1 FormulaYes, I am partly through a very ugly method to do a slightly harder one then you proposed. Unfortunately earlier today I came across a method that uses PIE but I do not follow it. So this may not be any mystery to anyone but 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. #11465 20130620 02:07:52#11466 20130620 02:08:17
Re: Linear Interpolation FP1 FormulaPrinciple of Inclusion and Exclusion 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. #11467 20130620 04:52:34#11468 20130620 12:18:16
Re: Linear Interpolation FP1 FormulaIt is long and arduous. There is no discernible pattern which to me is a sure sign of the "wrong method!" 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. #11469 20130621 21:26:17
Re: Linear Interpolation FP1 FormulaHmm... I am perplexed. I always assumed that something like this would be trivial for a computer to solve, but if it's an open problem, that is interesting. I suppose it is a bit like the Tower of Hanoi problem with the number of discs and pegs both variable; seems like it would be trivial to find experimentally but it turns out it is not at all. #11470 20130621 22:27:00
Re: Linear Interpolation FP1 FormulaHmmm, the bone bender Brodsky type. Is she very flirtatious? 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. #11471 20130621 22:38:03
Re: Linear Interpolation FP1 FormulaNot really... she is just goodlooking, no surprise guys are after her. #11472 20130621 22:40:50
Re: Linear Interpolation FP1 FormulaLooks like as long as she is with "The Bone Bender" you should steer clear of her. 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. #11473 20130621 22:50:49
Re: Linear Interpolation FP1 FormulaShe will be gone by Monday anyway, that is the last exam we have together. I have her email though. #11474 20130621 22:57:41
Re: Linear Interpolation FP1 FormulaIt is probably not worth the trouble to even keep 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. #11475 20130622 00:44:39
Re: Linear Interpolation FP1 FormulaYep. Her BF probably has her email address and PIN number too. 