  Some important concepts in the nonstandard analysis theory of turbulence are
presented in this article. The structure of point, on which differential
equations are defined, is analyzed. The distinction between the uniform point
and the non-uniform point, as well as between the standard point and the
nonstandard point, is showed. A new kind of equations, which differ essentially
from those in existent theory, is emphasized. These new equations can hold at
non-uniform points. The applicability of the Navier-Stokes equations to
turbulence is discussed. Some illustrations of the nonstandard analysis theory
of turbulence are given too.
