tv_probe_jacobian_from_sweep
============================

.. py:function:: t3toolbox.backend.probing.tv_probe_jacobian_from_sweep(variation, ww, frame, frame_sweep)

   .. code-block:: python

      def tv_probe_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)
              ],
              ww:         typ.Sequence[NDArray],  # probe vectors, len=d, elm_shape=W+(Ni,) -- for the variation's dxis
              frame:       typ.Tuple[
                  typ.Sequence[NDArray], typ.Sequence[NDArray],
                  typ.Sequence[NDArray], typ.Sequence[NDArray],
              ],                                  # = T3Frame.data = (U, O, P, Q)
              frame_sweep: typ.Tuple[
                  typ.Sequence[NDArray], typ.Sequence[NDArray],
                  typ.Sequence[NDArray], typ.Sequence[NDArray],
              ],                                  # = tv_precompute_probe_frame_sweep(frame, ww)
      ) -> typ.Sequence[NDArray]:                 # probes, len=d, elm_shape=W+K+C+(Ni,) (one free mode each)


   Forward probe of a tangent vector reusing a precomputed frame sweep -- the bare ``𝒥`` (probe) with
   the frame edge variables injected. Equivalent to :py:func:`tv_probe`, but takes
   ``(xis, mus, nus, etas)`` from ``frame_sweep`` instead of recomputing them; only the perturbation
   sweep (``dxis``/``sigmas``/``taus``/``detas``) is computed here. Apply and probe **share** the frame
   sweep (:py:func:`tv_precompute_probe_frame_sweep`). No gauge projector ``Π``.

   .. seealso:: :py:obj:`tv_precompute_probe_frame_sweep`, :py:obj:`tv_probe`, :py:obj:`tv_probe_transpose_from_sweep`