utv_apply_transpose
===================

.. py:function:: t3toolbox.backend.utv_sampling.utv_apply_transpose(c, ww, frame_data, sum_over_probes=False)

   .. code-block:: python

      def utv_apply_transpose(
              c,                # residual, shape=W+K+C (a scalar per stack element)
              ww,               # apply vectors, len=d, ith elm_shape=W+(Ni,)
              frame_data,       # UT3Frame .data (orthogonal frame), stack=C
              sum_over_probes=False,
      ):  # -> UT3Variations .data: (dU_tilde, dG_tilde, shape, masks); stack K_new + C


   Apply the transpose ``𝒥ᵀ`` of the all-modes apply (the bare adjoint; the adjoint-state method).
   Mask-once the frame, pack ``ww``, share ``apply.tv_apply_transpose``, attach the gauge masks
   over the new tangent stack ``K_new``.