tag:blogger.com,1999:blog-12949653.post2884108280678700981..comments2023-10-01T05:02:17.857-05:00Comments on takchek (读书 ): What are imaginary numbers good for?takchekhttp://www.blogger.com/profile/17726707339435418357noreply@blogger.comBlogger8125tag:blogger.com,1999:blog-12949653.post-61581240554956525102007-08-13T08:36:00.000-05:002007-08-13T08:36:00.000-05:00hmm this is not going to help anyone outside EE mu...hmm this is not going to help anyone outside EE much(?) but...i spent a good 6 months pondering about its use on electronics during ns...maybe this is of use in general...<BR/><BR/>in short, we are dealing with electrical signals, ie. some function of time. it aids the imagination to view these signals as composed of more basic building blocks. Fourier transform is pretty good, Laplace transform kelvinatorhttps://www.blogger.com/profile/14531740518608208740noreply@blogger.comtag:blogger.com,1999:blog-12949653.post-29437777442892046292007-08-12T07:19:00.000-05:002007-08-12T07:19:00.000-05:00To elaborate on Elia's four words:Complex analysis...To elaborate on Elia's four words:<BR/><BR/>Complex analysis is required, amongst all things, to do some contour integrals. Contour integrals are basically integrals from -infinity to +infinity (along the whole of the real line). Complex analysis provides an easy way to do this using something called the Residue Theorem. Contour integrals pop up everywhere. In quantum mechanics, we use them to testtubehttps://www.blogger.com/profile/12293798209961798905noreply@blogger.comtag:blogger.com,1999:blog-12949653.post-69205737948074493762007-08-10T11:48:00.000-05:002007-08-10T11:48:00.000-05:00i was never good at it, had the same questions as ...i was never good at it, had the same questions as the little kid unanswered.<BR/><BR/>all i got out of it was to learn how to avoid them.<BR/><BR/>btw nice blog, love the way you separate takchek from zogangJonhttps://www.blogger.com/profile/04359305031119309253noreply@blogger.comtag:blogger.com,1999:blog-12949653.post-68668573464799792202007-08-09T21:33:00.000-05:002007-08-09T21:33:00.000-05:00Regrettably I skipped complex analysis in college....Regrettably I skipped complex analysis in college... But I would say it's a mathematical construct. Probably started when mathematicians said, "Hmm... is the square root of 4 is 2 (and -2), then what is the square root of -4?" Then someone came along and defined the i, and mathematicians took this definition and investigated how far we can go with this definition. Obviously, very far, unlike L'oiseau rebellehttps://www.blogger.com/profile/10884820715854388363noreply@blogger.comtag:blogger.com,1999:blog-12949653.post-51596552378468773642007-08-09T17:03:00.000-05:002007-08-09T17:03:00.000-05:00I see only four words. And they still don't make a...I see only four words. And they still don't make any sense to most people.<BR/><BR/>Heck, I also think your descriptions are vague. :)takchekhttps://www.blogger.com/profile/17726707339435418357noreply@blogger.comtag:blogger.com,1999:blog-12949653.post-35045869265522883512007-08-09T16:57:00.000-05:002007-08-09T16:57:00.000-05:00Six words:1. Complex analysis2. Hermitian matrices...Six words:<BR/><BR/>1. Complex analysis<BR/>2. Hermitian matrices.Elia Diodatihttps://www.blogger.com/profile/03834465156174945738noreply@blogger.comtag:blogger.com,1999:blog-12949653.post-60884738713312116142007-08-09T11:11:00.000-05:002007-08-09T11:11:00.000-05:00I forgot to leave the relevant link. Voila...http:...I forgot to leave the relevant link. Voila...<BR/><BR/>http://cornellmath.wordpress.com/2007/07/28/sum-divergent-series-i/#more-108Unknownhttps://www.blogger.com/profile/09287645882082807308noreply@blogger.comtag:blogger.com,1999:blog-12949653.post-45609482325416535562007-08-09T11:09:00.000-05:002007-08-09T11:09:00.000-05:00I discussed this some time ago with a friend. He t...I discussed this some time ago with a friend. He thinks that the best answer will be to say that its simply a mathematical artifact.<BR/><BR/>The problem comes from trying to give an intuitive explanation that directly relates to our daily lives. Some of the more abstract ideas in mathematics and physics are difficult to appreciate and relate to. Probably the best method will be to dig deeper in.Unknownhttps://www.blogger.com/profile/09287645882082807308noreply@blogger.com