T3Tangent.weighted_inner
========================

.. py:method:: t3toolbox.manifold.T3Tangent.weighted_inner(other, weights)

   .. code-block:: python

      def weighted_inner(self, other: 'T3Tangent', weights: 'bvf.T3FrameWeights'):


   The **weighted** coordinate inner product ``<absorb(W,self), absorb(W,other)>`` w.r.t. one
   metric ``weights`` -- absorb the weights into both tangents' variations and dot. The same-frame
   precondition is checked, as is the frame-like stack of ``weights``
   (:py:func:`~t3toolbox.frame_variations_format.check_fw_pair`); vectorized over the stack (returns
   shape ``K + C``). Backend twin:
   :py:func:`~t3toolbox.backend.fv_operations.fv_weighted_inner`.