Multivariate Taylor polynomial
= Multivariate Taylor polynomial
{c}
The multivariate Taylor polynomial of total degree $p$ at $x_0$ is
$$
T_{x_0,p}(x)=\sum_{|\alpha|\leq p}
\frac{D^\alpha f(x_0)}{\alpha!}(x-x_0)^\alpha.
$$
= Multivariate Taylor polynomial
{c}
The multivariate Taylor polynomial of total degree $p$ at $x_0$ is
$$
T_{x_0,p}(x)=\sum_{|\alpha|\leq p}
\frac{D^\alpha f(x_0)}{\alpha!}(x-x_0)^\alpha.
$$