  On the grounds of both widely known experimental and numerical data of the
strain-rate tensor statistical properties in the fully developed incompressible
turbulent flow and the integral transformations deduced in the article, some
important statistical properties of the flow, known as kinematical, are found
to be dynamical (i.e. taking place purely in a turbulent flow). A new
pseudo-Gauss distribution is introduced in the article and, as a consequence of
these properties, a considerable feature distinguishing this distribution from
the Gauss one is found to be the general feature of the turbulent statistics.
Thus, the new distribution is proved to be a reversible counterpart of the true
turbulent velocity gradient distribution instead of the Gauss one.
