
Re: Finally the discussion is over: S = Lim S is a bad definition.
Posted:
Oct 3, 2017 6:30 PM


BTW: It took me 2 minutes to find a sequence notation in the works of Euler, maybe further examples can be found. I used this website:
In 1910 and 1913, Swedish Mathematician Gustav Eneström completed a comprehensive survey of Euler's works. He counted and enumerated 866 distinct works, including books, journal articles, and some letters he deemed to be especially important. Each of these was assigned a number, from E1 to E866, which is now referred to as the "Eneström number." Most historical scholars today use Eneström numbers to identify Euler's writings quickly." http://eulerarchive.maa.org/index/enestrom.html
The sequence notation I found is not perfect, since later in his paper he stops with his mortality 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=NBOsXf_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 >> >

