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You are not logged in. #10201 20130417 05:20:09#10202 20130417 10:01:42
Re: Linear Interpolation FP1 FormulaAlso I think I know the solution to the cake problem, it is a lot easier than I thought. I'll post the solution tomorrow. #10203 20130417 14:21:49
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. #10204 20130418 00:59:51
Re: Linear Interpolation FP1 FormulaNothing from adriana yet, 4 days ago now. So f(x) = 2x. The 4 currents are randomly distributed, so the expected number of currents in my portion is 4*(2/3) = 8/3. (ii) If I take a proportion x of cake, the probability that a currant fell into it is clearly also x. The currant is either in the slice, or not in the slice. So we have a binomial distribution for the number of currants C ~ B(n, p), with p = x and n = 4. So P(C = 4) = x^{4}. The probability distribution for a proportion X AND having 4 currants, is 2x*x^{4} = 2x^{5}. Then we just use P(A n B) = P(AB)P(B), for which I am getting 63/64. #10205 20130418 01:09:14
Re: Linear Interpolation FP1 FormulaUh oh! I like the reasoning for the 2x^5. I think that solves that. But why not use the integral idea that toasted fellow did? 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. #10206 20130418 01:15:31
Re: Linear Interpolation FP1 FormulaThat's what I did  it's a little strange because here we are kind of using individual values in a continuous distribution. You obtain P(4 currants in portion AND more than half a portion) by integrating 2x^{5} between 1/2 and 1. P(4 currants in portion) is obtained just by integrating 2x^{5} between 0 and 1, since the size of the portion doesn't matter for that probability. Putting that together yields the same answer toastedlion got. #10207 20130418 01:19:26
Re: Linear Interpolation FP1 FormulaSure wish we had a few more of these type to try out your idea on.. 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. #10208 20130418 01:20:50
Re: Linear Interpolation FP1 FormulaI might come across some more in the 916 more STEP questions I have to do. It is going to be a long summer... #10209 20130418 01:22:40
Re: Linear Interpolation FP1 FormulaI do not know how to phrase the problem to search for more. In the meantime would you mind writing up your full solution for 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. #10210 20130418 01:24:31
Re: Linear Interpolation FP1 FormulaMy solution is basically the same as toastedlion's on The Student Room, the only difference is I explained where the x^4 bit came from... #10211 20130418 01:29:51
Re: Linear Interpolation FP1 FormulaOkay, then I will use that one with your explanation. I think it is done. 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. #10212 20130418 01:43:32
Re: Linear Interpolation FP1 FormulaOkay, I have ticked it off my spreadsheet now. #10213 20130418 01:47:07
Re: Linear Interpolation FP1 FormulaGood, good, you will be there to maybe comfort her. Tell her it is not possible to explain them with an email or chat. It must be done with paper and pencil and ... 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. #10214 20130418 01:51:28#10215 20130418 01:57:56
Re: Linear Interpolation FP1 FormulaHmmm, can only be done in person is the point. 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. #10216 20130418 02:06:55#10217 20130418 02:10:46
Re: Linear Interpolation FP1 FormulaWell if you have explained that too her what other choice does she have but to plan something more intimate? 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. #10218 20130418 02:12:24
Re: Linear Interpolation FP1 FormulaShe could say that she will just not do the question, as there are 1166 others and she is not trying to do all the questions at any rate... #10219 20130418 02:13:59
Re: Linear Interpolation FP1 FormulaThen you are alleviated from having to explain it to 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. #10220 20130418 09:15:11
Re: Linear Interpolation FP1 FormulaI don't know, at the moment I'm not sure what I want to do. Part of me just wants to permanently ignore her, completely forget about her. I don't think she is worth the pursuit. There is now 0 benefit from knowing her. #10221 20130418 09:29:37
Re: Linear Interpolation FP1 FormulaHi zetafunc. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #10222 20130418 10:51:01
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. #10223 20130418 18:53:26
Re: Linear Interpolation FP1 FormulaNope, I was rejected by Cambridge  for a reason my school found very controversial. I am going to UCL instead, and then maybe go there for my Masters degree instead. #10224 20130418 23:54:20
Re: Linear Interpolation FP1 FormulaProbably? I have known mere bumpkins, guys that were barely human that had dozens of opportunities. 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. #10225 20130419 00:21:51
Re: Linear Interpolation FP1 FormulaYou still read/hear about people who never had any opportunities though, into their middleages. 