dense_entries_derivatives
=========================

.. py:function:: t3toolbox.backend.sampling_derivatives.dense_entries_derivatives(index, pp, T, order)

   .. code-block:: python

      def dense_entries_derivatives(
              index:  typ.Sequence[int],      # the grid point (one int per mode), len=d
              pp:     typ.Sequence[NDArray],  # perturbation vectors P, len=d, elm_shape=(Ni,)
              T:      NDArray,                # dense tensor, shape=(N0,...,N(d-1))
              order:  int,                    # highest derivative order
      ) -> NDArray:                           # entries-derivative jets, shape=(order+1,)


   Exact dense symmetric entry derivatives (oracle): apply-derivatives with one-hot basis vectors
   ``e_{index}`` (entries = apply with one-hot), via :py:func:`dense_apply_derivatives`. Unstacked.