```Date: Oct 3, 2017 6:30 PM
Author: Jan Burse
Subject: Re: Finally the discussion is over: S = Lim S is a bad definition.

BTW: It took me 2 minutes to find a sequence notationin the works of Euler, maybe further examples canbe found. I used this website:In 1910 and 1913, Swedish Mathematician GustavEneström completed a comprehensive survey ofEuler's works. He counted and enumerated 866distinct works, including books, journal articles,and some letters he deemed to be especially important.Each of these was assigned a number, from E1 toE866, which is now referred to as the "Eneströmnumber." Most historical scholars today useEneström numbers to identify Euler'swritings quickly."http://eulerarchive.maa.org/index/enestrom.htmlThe sequence notation I found is not perfect,since later in his paper he stops with hismortality considerations at age=100.But I guess everybody gets the idea...?!j4n bur53 schrieb:> Or if you use the new mongo lingo of bird brain> John Gabriel, you can also call it "not determinable".> doesn't matter how you call it, a sequence is not> the same as a value, but Euler clearly didn't use>> sequence notation in his public tailored publication,> he used the infinite sum notation, thats John Gabriels> error, that he thinks the following is not a> limit notation, but a sequence notation:>>     a1 + a2 + a3 + ...>> Here you find a nice publication by Euler, where> he indeed mentions a sequence, and he uses this notation:>>     (1), (2), (3), ...>     E334 -- Recherches generales sur la mortalite et>     la multiplication du genre humain>     http://eulerarchive.maa.org//docs/originals/E334.pdf>> So the difference is that he uses a comma in the> above, and not a summation sign. It is not the case> that mathematicians only wrote up sequences after> Euler, sequence notation existed already during times>> of Euler. And clearly there is no Euler blunder S=Lim S,> this is complete bird bran John Gabriel nonsense,> to denote a sequence, Euler would have used the comma.> BTW in the same paper E334, you later find>> also sum instead of comma, so Euler was even able> to use sequence and series side by side.>> Am Dienstag, 3. Oktober 2017 23:51:43 UTC+2 schrieb burs...@gmail.com:>> limit, since {an} or (an) wants to>> indicate a multiplicity of values, but>> John Gabriel schrieb:>> Finally the discussion is over: S = Lim S is a bad definition.>>>> https://www.youtube.com/watch?v=NBOs-Xf_UIg>>>> Comments are unwelcome and will be ignored.>>>> Posted on this newsgroup in the interests of public education and to>> eradicate ignorance and stupidity from mainstream mythmatics.>>>> gilstrang@gmail.com (MIT)>> huizenga@psu.edu (HARVARD)>> andersk@mit.edu (MIT)>> david.ullrich@math.okstate.edu (David Ullrich)>> djoyce@clarku.edu>> markcc@gmail.com>>>
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