Wikipedia Talk:Divergent series

Stability vs. translativity

Sorry for stepping in the same tarpit; I should have checked this talk
when I first noticed the reversion.  The question of whether stability
should be defined on {s[n+1]} or {s[n+1]-a[0]} is moot if we assume
translatability (which is a weak form of linearity).  But I don't know
which is the essential stability, nor whether anyone really makes use
of stability in the absence of translatability.  But I did notice that
the article 1 + 2 + 4 + 8 + · · · refers to totally regular summation
method, which redirects here.  Any idea what that property is?  -Dan
Hoey 22:57, 15 April 2007 (UTC)