T3Tangent.apply_derivatives_transpose
=====================================

.. py:method:: t3toolbox.manifold.T3Tangent.apply_derivatives_transpose(c, ww, pp, frame, order, sum_over_probes = False)
   :staticmethod:


   .. code-block:: python

      def apply_derivatives_transpose(
              c:                  NDArray,                # residual jet (scalar), shape=(order+1,)+W+K+C
              ww:                 typ.Sequence[NDArray],  # apply vectors X,        len=d, elm_shape=W+(Ni,)
              pp:                 typ.Sequence[NDArray],  # perturbation vectors P, len=d, elm_shape=W+(Ni,)
              frame:              bvf.T3Frame,
              order:              int,                    # highest derivative order
              sum_over_probes:    bool = False,
      ) -> 'T3Tangent':


   Transpose of :py:meth:`apply_derivatives`: back-project residual jets ``c`` into a tangent.

   The adjoint-state apply-derivative transpose (the scalar residual jet seeds one sweep; about half
   a :py:meth:`probe_derivatives_transpose`). ``sum_over_probes`` as in :py:meth:`probe_derivatives_transpose`.

   .. seealso:: :py:obj:`apply_derivatives`, :py:obj:`apply_transpose`