tv_operations
=============


.. py:module:: t3toolbox.backend.tv_operations

.. autoapi-nested-parse::

   Tangent-variations operations on raw (frame, variations) data.

   ``tv_to_t3`` (the tangent SUM over variation terms -- vs ``fv_conversions.fv_to_t3``'s single
   term), ``tv_to_dense``, the orthogonal/oblique gauge projections, the tangent-space projections
   of t3/dense operands, ``tv_retract``, ``tv_gauge_residual``, and the tangent/frame stack
   converters.



Functions
---------

.. toctree::
   :hidden:

   /autoapi/t3toolbox/backend/tv_operations/tv_to_dense
   /autoapi/t3toolbox/backend/tv_operations/tv_orthogonal_gauge_projection
   /autoapi/t3toolbox/backend/tv_operations/tv_oblique_gauge_projection
   /autoapi/t3toolbox/backend/tv_operations/tv_to_t3
   /autoapi/t3toolbox/backend/tv_operations/tv_project_t3_onto_tangent_space
   /autoapi/t3toolbox/backend/tv_operations/tv_project_dense_onto_tangent_space
   /autoapi/t3toolbox/backend/tv_operations/tv_unstack_tangent_stack
   /autoapi/t3toolbox/backend/tv_operations/tv_stack_tangent_stack
   /autoapi/t3toolbox/backend/tv_operations/tv_unstack_frame_stack
   /autoapi/t3toolbox/backend/tv_operations/tv_stack_frame_stack
   /autoapi/t3toolbox/backend/tv_operations/tv_gauge_residual
   /autoapi/t3toolbox/backend/tv_operations/tv_retract

.. autoapisummary::

   t3toolbox.backend.tv_operations.tv_to_dense
   t3toolbox.backend.tv_operations.tv_orthogonal_gauge_projection
   t3toolbox.backend.tv_operations.tv_oblique_gauge_projection
   t3toolbox.backend.tv_operations.tv_to_t3
   t3toolbox.backend.tv_operations.tv_project_t3_onto_tangent_space
   t3toolbox.backend.tv_operations.tv_project_dense_onto_tangent_space
   t3toolbox.backend.tv_operations.tv_unstack_tangent_stack
   t3toolbox.backend.tv_operations.tv_stack_tangent_stack
   t3toolbox.backend.tv_operations.tv_unstack_frame_stack
   t3toolbox.backend.tv_operations.tv_stack_frame_stack
   t3toolbox.backend.tv_operations.tv_gauge_residual
   t3toolbox.backend.tv_operations.tv_retract