It is shown that there exist
2
n
+
1
2n + 1
real valued, continuous functions
ϕ
0
,
…
,
ϕ
2
n
{\phi _0}, \ldots ,{\phi _{2n}}
defined on
R
n
{{\mathbf {R}}^n}
such that every bounded real valued continuous function on
R
n
{{\mathbf {R}}^n}
is expressible in the form
Σ
i
=
0
2
n
g
∘
ϕ
i
\Sigma _{i = 0}^{2n}g \circ {\phi _i}
for some
g
∈
C
(
R
)
g \in C({\mathbf {R}})
. Extensions to some unbounded functions are also made.