
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:
Sep 30, 2017 2:36 PM


This can be used for a little variant of proving the Cauchy product, we also have:
s_n*t_n  s_(n1)*t_(n1) =
(s_n  s_(n1)) * (t_n + t_(n_1))/2 +
(s_n + s_(n1))/2 * (t_n  t_(n1)).
Or graphically:
A A B B _ A A B B _ C C X B _ C C C X _ _ _ _ _ _
Am Samstag, 30. September 2017 20:26:37 UTC+2 schrieb burs...@gmail.com: > To see how the box is built, consider: > > A A B _ _ > A A B _ _ > C C D _ _ > _ _ _ _ _ > _ _ _ _ _ > > Or algebraically: > > s_n*t_n  s_(n1)*t_(n1) = > > (s_n  s_(n1)) * t_(n_1) + > > s_(n1) * (t_n  t_(n1)) + > > (s_n  s_(n1))*(t_n  t_(n1)) +

