<s>
In	O
mathematics	O
,	O
approximation	B-Algorithm
theory	I-Algorithm
is	O
concerned	O
with	O
how	O
functions	O
can	O
best	O
be	O
approximated	O
with	O
simpler	O
functions	O
,	O
and	O
with	O
quantitatively	O
characterizing	O
the	O
errors	B-Algorithm
introduced	O
thereby	O
.	O
</s>
<s>
The	O
objective	O
is	O
to	O
make	O
the	O
approximation	O
as	O
close	O
as	O
possible	O
to	O
the	O
actual	O
function	O
,	O
typically	O
with	O
an	O
accuracy	O
close	O
to	O
that	O
of	O
the	O
underlying	O
computer	O
's	O
floating	B-Algorithm
point	I-Algorithm
arithmetic	I-Algorithm
.	O
</s>
<s>
Chebyshev	O
approximation	O
is	O
the	O
basis	O
for	O
Clenshaw	B-Algorithm
–	I-Algorithm
Curtis	I-Algorithm
quadrature	I-Algorithm
,	O
a	O
numerical	B-Algorithm
integration	I-Algorithm
technique	O
.	O
</s>
