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You are not logged in. #51 20130330 13:48:12
Re: Contour integrationI was at a birthday party. 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 #52 20130330 13:50:13
Re: Contour integrationDid you have a good time? 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. #53 20130330 22:24:22
Re: Contour integrationOf course. 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 #54 20130330 22:27:06
Re: Contour integrationHmmm, you got in late enough... 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. #55 20130330 22:57:41
Re: Contour integrationMaybe. 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 #56 20130330 23:00:55
Re: Contour integrationToo tired or want to continue with more problems? 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. #57 20130330 23:02:21
Re: Contour integrationWell, I got my good night's sleep. We can continue. 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 #59 20130331 01:21:42
Re: Contour integrationHow would you do that one? 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 #60 20130331 03:42:09
Re: Contour integrationDid you get the poles? 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. #61 20130331 09:29:51
Re: Contour integrationYes I have. 1, e^(i*pi/3) and e^(i*pi/3). 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 #62 20130331 10:17:49
Re: Contour integrationKnow, which ones to use? 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. #63 20130331 10:29:10
Re: Contour integrationWell, any contour which encloses the integral we want will do. 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 #64 20130331 10:36:08
Re: Contour integrationI guess here he used the unit circle. Anyway, only one pole... 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. #65 20130331 10:43:44
Re: Contour integrationHe? 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 #66 20130331 10:44:50
Re: Contour integrationThe guy who wrote these stupid problems up. Now please find the single pole that we will use. 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. #67 20130331 11:16:08
Re: Contour integrationWe can use any of the poles. But finding a contour that will do the problem will be a bit tougher. 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 #68 20130331 11:18:28
Re: Contour integrationHe has got that you use only one of the poles. 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. #69 20130331 11:20:05
Re: Contour integrationWho is he? And how do you know what he used? 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 #70 20130331 11:22:26
Re: Contour integrationForget about the contour, if you plug into the formula you will see that you can not use just any pole that 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. #71 20130331 11:24:29
Re: Contour integrationYou do realize that the 2pi*i gets the answer for a contour integral and not a regular one? 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 #72 20130331 11:28:59
Re: Contour integrationI am not sure that is correct. The answers are for the integrals that I posed. We are evaluating the integrals using residues. We only need the pole that has a positive i as the imaginary part. 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. #73 20130331 11:30:42
Re: Contour integrationAre you sure you got this contour integral stuff correctly? 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 #74 20130331 11:33:29
Re: Contour integrationHeck no! This came out of a textbook that my brother has and I do not so I jotted down the problems and the solutions. Each one is correct as far as the answer is concerned. 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. #75 20130331 11:35:41
Re: Contour integrationWait, so, you are just guessing? 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 