Well, in algebra "1 - 1 + 1 - 1 + …" is undefined since algebra cannot reach the end; in the realm of infinite series, ½ is a valid value for the series (and the only one). There's a similar thing with any of ζ(n) when n is a negative odd integers (ζ(-1) = 1 + 2 + 3 + 4 + … = -1/12, ζ(-3) = 1 + 8 + 27 + 64 + … = 1/120, etc.). Computations definitely rely on the context in which they reside; I see no reason why numeric values would be exempt.
A false midnight
Posted Mar 22, 2014 9:54 UTC (Sat) by Jandar (subscriber, #85683) [Link]
A false midnight
Posted Mar 22, 2014 10:46 UTC (Sat) by mathstuf (subscriber, #69389) [Link]
[1]https://en.wikipedia.org/wiki/Particular_values_of_Rieman...
A false midnight
Posted Mar 22, 2014 15:23 UTC (Sat) by Jandar (subscriber, #85683) [Link]
Copyright © 2018, Eklektix, Inc.
Comments and public postings are copyrighted by their creators.
Linux is a registered trademark of Linus Torvalds