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Sep 8, 2019 at 13:40 comment added BeeTiau Thanks, user131781 and Alexandre Eremenko for your kind help! unfortunately I can only accept one answer but both of your insights are valuable! It would be difficult for a person like me to find a direction and guidance from experts in here if a post such as mine above is judged as inappropriate/off-topic at the first instance without giving even a small chance to hear for one or two responses. The intention of a question is not just to find a right/wrong answer, but to seek possibilities. If you cannot give an answer/guidance, at least help us by giving a little bit more time. Thanks.
Sep 8, 2019 at 13:31 vote accept BeeTiau
Sep 8, 2019 at 11:15 review Reopen votes
Sep 8, 2019 at 12:46
Sep 8, 2019 at 11:12 vote accept BeeTiau
Sep 8, 2019 at 11:12
Sep 8, 2019 at 10:58 history edited BeeTiau CC BY-SA 4.0
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S Sep 8, 2019 at 6:24 history unlocked CommunityBot
S Sep 8, 2019 at 6:24 history locked CommunityBot
S Sep 8, 2019 at 6:24 history closed Francois Ziegler
Alexandre Eremenko
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Felipe Voloch
András Bátkai
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Sep 8, 2019 at 6:12 answer added user131781 timeline score: 0
Sep 7, 2019 at 23:14 comment added BeeTiau Glad to know that now you understand my intention that this is not about getting a right/wrong answer but more to get an insight.
Sep 7, 2019 at 23:13 comment added Michael Engelhardt Indeed, it's not about right/wrong, it's different applications leading to different definitions. Glad Alexandre's answer helped.
Sep 7, 2019 at 23:09 comment added BeeTiau That's okay. But I do appreciate Alexandre Eremenko's effort in trying to help me. Perhaps this is not about getting the right/wrong answer because, as I said, both formulae are correct. What I am after is an insight from someone like Alexandre Eremenko when he said that "I suppose that your books use the different sense of understanding these integrals."
Sep 7, 2019 at 23:04 comment added Michael Engelhardt Well, "make sense", as in, offer ways of defining them, mathematics will do for you, see Alexandre Eremenko's answer. But mathematics cannot tell you which of the many possible definitions is the right one for your specific physics application.
Sep 7, 2019 at 22:58 comment added BeeTiau Oh okay. I am asking this at the wrong place then, i.e. Mathematics cannot provide meaning for these mathematical expressions, or how to make sense of those mathematical formulae. Both formulae are actually relevant in my case; just that I could not understand why the two authors came up with an 'opposite' relations in their formulation. Unfortunately, both of them don't provide sufficient explanation as to why they used that formula. I was hoping that mathematician could help me to provide the best possible explanation. But I am bit unlucky now.
Sep 7, 2019 at 21:11 comment added Michael Engelhardt I am sorry, but you are making exactly my point: Mathematics cannot provide you with a meaning for these expressions. At most, it can provide you with a few often-used definitions, as Alexandre Eremenko indicates in his answer. But it is a question of physics which of these definitions is the relevant one for you.
Sep 7, 2019 at 20:45 history edited Michael Hardy CC BY-SA 4.0
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Sep 7, 2019 at 18:42 answer added Alexandre Eremenko timeline score: 4
Sep 7, 2019 at 18:11 comment added BeeTiau This is about mathematic. I am trying to understand the meaning of this mathematical expression. Thanks!
Sep 7, 2019 at 18:00 comment added Michael Engelhardt This is not a question about mathematics, but a question about the physics input that alone can determine how exactly the mathematical expressions you write are to be defined (via the precise choice of contour). On this site, you are most likely to obtain answers to questions about mathematics.
Sep 7, 2019 at 16:18 comment added Daniele Tampieri Cross posted from Math.SE
Sep 7, 2019 at 16:00 review Close votes
Sep 8, 2019 at 6:25
Sep 7, 2019 at 15:30 review First posts
Sep 7, 2019 at 15:46
Sep 7, 2019 at 15:26 history asked BeeTiau CC BY-SA 4.0