Sorry--turns out that that link lets you read the whole thing(as opposed to the first page) only if you are a Jstor subscriber. (Eventually the academic world will figure out that all information ought to be public access--but not yet apparently)_ Anyone who finds the first page interesting can write to me directly and I shall email them a copy(or you can find the Math Monthly in university libraries). All the best Robert
On Sat, 27 Apr 2013, Robert Greene wrote:
Indeed(to SS's message) And real analytic systems do not exist in the real world. Unless you believe in complete pre-destination in the religious sense, that God planned everything infinitely long ago and arranged that things were then what they would have to be so that their analytic continuation to the present would be exactly as the world is now and on and on into the future.... seriously, this is not happening. Real analytic functions are a favorite of mine (I wrote a paper once for the American Math Monthly to publicize the Morrey-Grauert Theorem, which is absolutely one of my favorite results in mathematics. You can read it here http://www.jstor.org/discover/10.2307/2695796?uid=3739560&uid=2129&uid=2&uid=70&uid=4&uid=3739256&sid=21102208937197 (free of charge) if you care to. But in the real world, real analyticity is not happening! In spite of its name, it is not real at all in the sense of being a model of the real world under any circumstances whatever! Only an approximation,and one assumes anything to the contrary to one's peril. Robert PS This is particularly hazardous about musical matters... no sane person thinks that knowing exactly what the sound in the auditorium is for five minutes before the Beethoven 9th tells you what the Beethoven 9th performance will be--or even when it will start! Real analyticity is wonderful stuff but it is absolutely totally misleading about physical phenomena. I suppose this is obvious but I thought I would mention it anyway. (Incidentally this kind of stuff is why the Morrey Grauert Theorem is so hard to prove!) _______________________________________________ Sursound mailing list [email protected] https://mail.music.vt.edu/mailman/listinfo/sursound
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