assemble_tangent_z
==================

.. py:function:: t3toolbox.backend.probing.assemble_tangent_z(tucker_cores, var_tucker_cores, etas, detas)

   .. code-block:: python

      def assemble_tangent_z(
              tucker_cores:       typ.Union[typ.Sequence[NDArray], NDArray], # len=d. elm_shape=(nUi,Ni)
              var_tucker_cores:   typ.Union[typ.Sequence[NDArray], NDArray], # len=d. elm_shape=(nOi,Ni)
              etas:               typ.Union[typ.Sequence[NDArray], NDArray], # len=d, elm_shape=(...,nOi)
              detas:              typ.Union[typ.Sequence[NDArray], NDArray], # len=d, elm_shape=(...,nUi)
      ) -> typ.Union[typ.Sequence[NDArray], NDArray]: # zs. len=d, elm_shape=(...,Ni)


   Assemble tangent vector probes from edge variables.

   See Section 6.2.2, particularly Algorithm 7, in:
       Alger, N., Christierson, B., Chen, P., & Ghattas, O. (2026).
       "Tucker Tensor Train Taylor Series."
       arXiv preprint arXiv:2603.21141.
       `https://arxiv.org/abs/2603.21141 <https://arxiv.org/abs/2603.21141>`_

   .. seealso:: :py:obj:`compute_dxi`, :py:obj:`compute_sigma`, :py:obj:`compute_tau`, :py:obj:`compute_deta`, :py:obj:`tv_probe`