  We show that a pseudo-holomorphic embedding of an almost-complex
$2n$-manifold into almost-complex $(2n + 2)$-Euclidean space exists if and only
if there is a CR regular embedding of the $2n$-manifold into complex $(n +
1)$-space. We remark that the fundamental group does not place any restriction
on the existence of either kind of embedding when $n$ is at least three. We
give necessary and sufficient conditions in terms of characteristic classes for
a closed almost-complex 6-manifold to admit a pseudo-holomorphic embedding into
$\R^8$ equipped with an almost-complex structure that need not be integrable.
