tv_entries_jacobian_from_sweep
==============================

.. py:function:: t3toolbox.backend.entries.tv_entries_jacobian_from_sweep(variation, index, frame, frame_sweep)

   .. code-block:: python

      def tv_entries_jacobian_from_sweep(
              variation:  typ.Tuple[
                  typ.Sequence[NDArray],          # var_tucker_cores. len=d, elm_shape=K+C+(nOi,Ni)
                  typ.Sequence[NDArray],          # var_tt_cores.     len=d, elm_shape=K+C+(rLi,nUi,rRi)
              ],
              index:      NDArray,                # int, shape=(d,)+W -- for the variation's fiber-sliced dxis
              frame:       typ.Tuple[
                  typ.Sequence[NDArray], typ.Sequence[NDArray],
                  typ.Sequence[NDArray], typ.Sequence[NDArray],
              ],                                  # = T3Frame.data = (U, O, P, Q); uses Q (right) and O (down)
              frame_sweep: typ.Tuple[
                  typ.Sequence[NDArray], typ.Sequence[NDArray],
              ],                                  # = tv_precompute_entries_frame_sweep(frame, index)  (lean)
      ) -> NDArray:                               # entries of the dense tangent at ``index``; shape = W + K + C


   Forward all-modes entries of a tangent vector reusing a precomputed frame sweep -- the bare ``𝒥``
   (entries) with the frame edge variables injected. Equivalent to :py:func:`tv_entries`, but takes
   the lean ``(xis, mus)`` from ``frame_sweep``; only the fiber-sliced ``dxis`` is computed here. No
   gauge projector ``Π``.