Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #10301 20130421 05:24:48
Re: Linear Interpolation FP1 FormulaIt's possible that they have run into him already. Maybe that's why H was locked up, nobody believed what she saw. #10302 20130421 05:26:25
Re: Linear Interpolation FP1 FormulaWell, he seems to have his own girlfriend and he looks like he has a big crush on 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. #10303 20130421 05:50:17#10304 20130421 08:59:27
Re: Linear Interpolation FP1 FormulaAnyway, how are the questions coming? 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. #10305 20130421 09:01:57
Re: Linear Interpolation FP1 FormulaI did my 270th today, but I have to stop for a bit to do some other work, annoyingly. #10306 20130421 09:04:58
Re: Linear Interpolation FP1 Formula270! Very good. 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. #10307 20130421 09:07:22
Re: Linear Interpolation FP1 FormulaI wanted to complete all of them but I don't think that's possible now! It's tempting just to jump to solutions... #10308 20130421 09:08:29
Re: Linear Interpolation FP1 FormulaThat is not a bad idea when you have little time left. 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. #10309 20130421 18:51:34
Re: Linear Interpolation FP1 FormulaTrouble is, even understanding the solutions can be difficult sometimes, as we saw with the cakes question. #10310 20130421 21:38:51
Re: Linear Interpolation FP1 FormulaIt is better than not seeing the solution at all. Sometimes you see a solution and it takes a long time before you understand 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. #10311 20130422 00:11:36
Re: Linear Interpolation FP1 FormulaYes, I have found that to be true, particularly for STEP. giving your answer in terms of the tangent of a single angle. This is the first part of STEP I 1987 Q7. I remembered this Fourier series: If you differentiate that, multiply both sides by 1, you get I thought plugging in x = 2pi/23 might help, but I just couldn't simplify the RHS to the series they state in the question. For some reason though, 1/2 tan(pi/23) IS the right answer  which is what you get when you let x = 2*pi/23. What can I do here? #10312 20130422 00:23:02
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. #10313 20130422 00:26:26#10314 20130422 00:27:26
Re: Linear Interpolation FP1 FormulaWorking on 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. #10315 20130422 00:33:46#10316 20130422 00:41:11
Re: Linear Interpolation FP1 FormulaOkay got that series too. The question is a partial sum while you are trying to use an infinite series on the RHS. 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. #10317 20130422 00:55:45
Re: Linear Interpolation FP1 FormulaYes, I remembered it from a post of yours almost 2 years ago. #10318 20130422 00:56:33
Re: Linear Interpolation FP1 FormulaI was hoping to somehow show that the infinite sum on the RHS converged to the sum given in the question... #10319 20130422 00:57:13
Re: Linear Interpolation FP1 FormulaHow are we supposed to change the infinite series we get to the partial sum in the question? 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. #10320 20130422 01:01:22
Re: Linear Interpolation FP1 FormulaNot sure, I thought I could simplify the infinite sum somehow, such that I'd find lots of the terms cancelled and left the sum given in the question. #10321 20130422 01:08:02
Re: Linear Interpolation FP1 FormulaI am not seeing any way to do 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. #10322 20130422 01:14:02
Re: Linear Interpolation FP1 FormulaI couldn't either  the RHS doesn't converge to that sum. #10323 20130422 01:19:36
Re: Linear Interpolation FP1 FormulaI am looking at it now. I do not get 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. #10324 20130422 01:26:25
Re: Linear Interpolation FP1 FormulaIt doesn't  the sum I posted is definitely what appears on the paper. sin(46pi/23) is also zero. #10325 20130422 01:35:33
Re: Linear Interpolation FP1 FormulaYes, I was just remarking that the next term also works. This is as you say due to the fact that it is a multiple of 23. 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. 