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Topic:
The objects that Newton played with were called infinite series but had ZERO to do with infinity. The name infinite series is a misnomer.
Replies:
2
Last Post:
Oct 3, 2017 5:15 PM




Re: The objects that Newton played with were called infinite series but had ZERO to do with infinity. The name infinite series is a misnomer.
Posted:
Oct 3, 2017 5:15 PM


Can you make an example, where two series cannot be multiplied formally, independent of their convergence?
For the case of Cauchy product:
s_n = sum_i=1^n a_i t_n = sum_i=1^n b_i (s*t)_n = sum_i=1^n c_i where c_i=sum_k=1^i a_k*b_(i+1k)
For the case of algebra product:
s_n = sum_i=1^n a_i t_n = sum_i=1^n b_i (s*t)_n = s_n*t_n
Am Samstag, 30. September 2017 23:59:43 UTC+2 schrieb John Gabriel: > On Saturday, 30 September 2017 13:42:44 UTC5, burs...@gmail.com wrote: > > Formally you can multiply two series, even if they > > are not coverging. > > Tsk, tsk. No. You cannot do infinosero arithmetic with series that do not converge. Period.



