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You are not logged in. #11751 20130714 03:17:57
Re: Linear Interpolation FP1 FormulaIs it possible you are using the wrong poles? That might make the answer change sign. 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. #11752 20130714 03:24:05
Re: Linear Interpolation FP1 FormulaI don't think so... type this into Wolfram Alpha: #11753 20130714 03:33:31
Re: Linear Interpolation FP1 FormulaNever mind, I figured it out. It's not me that's wrong, it's Wolfram. The arguments of the poles should all be positive, but for some reason Mathematica doesn't do that. #11754 20130714 03:36:36
Re: Linear Interpolation FP1 FormulaThose are the correct residues. 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. #11755 20130714 03:38:19
Re: Linear Interpolation FP1 FormulaI think those residues I gave are wrong. If you use positive arguments/angles for the poles (i.e. 5pi/6 instead of pi/3) you will get the correct residue. The reason for this discrepancy is that Mathematica defines the negative real axis as the branch cut, when it is actually the positive axis. #11756 20130714 03:53:54
Re: Linear Interpolation FP1 FormulaOkay, glad it worked out. 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. #11757 20130714 03:54:36
Re: Linear Interpolation FP1 FormulaThe lesson here is that you should never be 100% certain about a CAS's answer... right? #11758 20130714 03:57:11
Re: Linear Interpolation FP1 FormulaThe way I understand it and not too well at that is that M has to make a decision about the branch cuts from a number of choices. They set it up to pick the most useful one. But that may not always be the one you want. 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. #11759 20130714 04:23:10
Re: Linear Interpolation FP1 FormulaSo it is clearly best to compute the residues for these types of problems by hand, then. #11760 20130714 04:32:13
Re: Linear Interpolation FP1 FormulaWhen possible, you should always be checking their results... 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. #11761 20130714 04:35:12
Re: Linear Interpolation FP1 FormulaWhat I mean is that it is probably best not to tell a CAS to find the residues of f(z). Instead, input the calculation for the residues, so there is no ambiguity. (Or at least, far less.) #11762 20130714 04:38:37
Re: Linear Interpolation FP1 FormulaThat is how I get mine. 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. #11763 20130714 19:41:40
Re: Linear Interpolation FP1 FormulaSo what did you need help understanding in my keyhole contour of that problem? I did skip over some steps, I can explain them if it would help. #11764 20130714 19:46:59
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. #11765 20130714 22:21:35
Re: Linear Interpolation FP1 FormulaI cannot edit posts but I can post it again. What should be added? #11766 20130715 02:25:07
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. #11767 20130715 02:57:50#11768 20130715 02:59:50
Re: Linear Interpolation FP1 FormulaDo you see my avatar? 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. #11769 20130715 03:03:43#11770 20130715 03:09:36
Re: Linear Interpolation FP1 FormulaI see, it is because you are a guest. 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. #11771 20130715 04:04:28
Re: Linear Interpolation FP1 FormulaI think there might be some keyhole contour problems in the Schaum's book. There is definitely an example in there that uses exactly the same method that I used in that post. #11772 20130715 06:49:39
Re: Linear Interpolation FP1 FormulaSorry, I was having back problems and had to get on the floor for a couple of hours. 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. #11773 20130716 09:41:01#11774 20130716 12:37:33
Re: Linear Interpolation FP1 FormulaNothing yet, I feel pretty bad but I am hungry so I have to get up and sit like a human being. 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. #11775 20130717 00:11:41
Re: Linear Interpolation FP1 FormulaYou were on the floor for hours? That sounds pretty serious. 