<s>
In	O
mathematics	O
,	O
specifically	O
in	O
order	O
theory	O
and	O
functional	B-Application
analysis	I-Application
,	O
a	O
sequence	O
of	O
positive	O
elements	O
in	O
a	O
preordered	O
vector	O
space	O
(	O
that	O
is	O
,	O
for	O
all	O
)	O
is	O
called	O
order	B-Algorithm
summable	I-Algorithm
if	O
exists	O
in	O
.	O
</s>
<s>
The	O
notion	O
of	O
order	B-Algorithm
summable	I-Algorithm
sequences	O
is	O
related	O
to	O
the	O
completeness	O
of	O
the	O
order	B-Algorithm
topology	I-Algorithm
.	O
</s>
