<s>
In	O
mathematics	O
and	O
computer	B-General_Concept
science	I-General_Concept
,	O
truncation	B-Algorithm
is	O
limiting	O
the	O
number	O
of	O
digits	O
right	O
of	O
the	O
decimal	O
point	O
.	O
</s>
<s>
Truncation	B-Algorithm
of	O
positive	O
real	O
numbers	O
can	O
be	O
done	O
using	O
the	O
floor	O
function	O
.	O
</s>
<s>
However	O
,	O
for	O
negative	O
numbers	O
truncation	B-Algorithm
does	O
not	O
round	O
in	O
the	O
same	O
direction	O
as	O
the	O
floor	O
function	O
:	O
truncation	B-Algorithm
always	O
rounds	O
toward	O
zero	O
,	O
the	O
floor	O
function	O
rounds	O
towards	O
negative	O
infinity	O
.	O
</s>
<s>
With	O
computers	O
,	O
truncation	B-Algorithm
can	O
occur	O
when	O
a	O
decimal	O
number	O
is	O
typecast	O
as	O
an	O
integer	O
;	O
it	O
is	O
truncated	O
to	O
zero	O
decimal	O
digits	O
because	O
integers	O
cannot	O
store	O
non-integer	O
real	O
numbers	O
.	O
</s>
<s>
An	O
analogue	O
of	O
truncation	B-Algorithm
can	O
be	O
applied	O
to	O
polynomials	O
.	O
</s>
<s>
In	O
this	O
case	O
,	O
the	O
truncation	B-Algorithm
of	O
a	O
polynomial	O
P	O
to	O
degree	O
n	O
can	O
be	O
defined	O
as	O
the	O
sum	O
of	O
all	O
terms	O
of	O
P	O
of	O
degree	O
n	O
or	O
less	O
.	O
</s>
<s>
Polynomial	O
truncations	B-Algorithm
arise	O
in	O
the	O
study	O
of	O
Taylor	O
polynomials	O
,	O
for	O
example	O
.	O
</s>
