measurement_jacobian
====================

.. currentmodule:: pyarts3.workspace

.. attribute:: Workspace.measurement_jacobian
   :type: ~pyarts3.arts.Matrix
   
   The first order partial derivatives of the :attr:`~pyarts3.workspace.Workspace.measurement_vector`.
   
   This variable represents the matrix
   
   .. math::
       \mathbf{J} = \frac{\partial \vec{y}} {\partial \vec{x}},
   
   where :math:`\vec{y}` is the :attr:`~pyarts3.workspace.Workspace.measurement_vector` and :math:`\vec{x}` is the :attr:`~pyarts3.workspace.Workspace.model_state_vector`.
   The size of this variable should thus be the size of :attr:`~pyarts3.workspace.Workspace.measurement_vector` times the size of :attr:`~pyarts3.workspace.Workspace.model_state_vector`.
   Please refer to those variables for more information.
   
   
   
   
   .. rubric:: Input to workspace method
   
   .. hlist::
       :columns: 1
   
       * :func:`~pyarts3.workspace.Workspace.measurement_averaging_kernelCalc`
   
   
   .. rubric:: Modified by workspace methods
   
   .. hlist::
       :columns: 2
   
       * :func:`~pyarts3.workspace.Workspace.OEM` 
       * :func:`~pyarts3.workspace.Workspace.measurement_jacobianAtmosphereTransformation` 
       * :func:`~pyarts3.workspace.Workspace.measurement_jacobianBandTransformation` 
       * :func:`~pyarts3.workspace.Workspace.measurement_jacobianSensorTransformation` 
       * :func:`~pyarts3.workspace.Workspace.measurement_jacobianSubsurfaceTransformation` 
       * :func:`~pyarts3.workspace.Workspace.measurement_jacobianSurfaceTransformation` 
       * :func:`~pyarts3.workspace.Workspace.measurement_jacobianTransformations` 
       * :func:`~pyarts3.workspace.Workspace.measurement_vectorConditionalAddError`
   
   
   .. rubric:: Output from workspace methods
   
   .. hlist::
       :columns: 2
   
       * :func:`~pyarts3.workspace.Workspace.inversion_iterate_agendaExecute` 
       * :func:`~pyarts3.workspace.Workspace.inversion_iterate_agendaExecuteOperator` 
       * :func:`~pyarts3.workspace.Workspace.measurement_inversion_agendaExecute` 
       * :func:`~pyarts3.workspace.Workspace.measurement_inversion_agendaExecuteOperator` 
       * :func:`~pyarts3.workspace.Workspace.measurement_vectorFromSensor`
   
   
   .. rubric:: Output from workspace agendas
   
   .. hlist::
       :columns: 1
   
       * :attr:`~pyarts3.workspace.Workspace.inversion_iterate_agenda` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_inversion_agenda`
   
   
   .. rubric:: Related workspace variables
   
   .. hlist::
       :columns: 2
   
       * :attr:`~pyarts3.workspace.Workspace.do_jacobian` 
       * :attr:`~pyarts3.workspace.Workspace.frequency_grid_wind_shift_jacobian` 
       * :attr:`~pyarts3.workspace.Workspace.jacobian_targets` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_averaging_kernel` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_gain_matrix` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_inversion_agenda` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_jacobian_error` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_sensor` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_vector` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_vector_error` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_vector_error_covariance_matrix` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_vector_fitted` 
       * :attr:`~pyarts3.workspace.Workspace.propagation_matrix_jacobian` 
       * :attr:`~pyarts3.workspace.Workspace.propagation_matrix_source_vector_nonlte_jacobian` 
       * :attr:`~pyarts3.workspace.Workspace.ray_path_frequency_grid_wind_shift_jacobian` 
       * :attr:`~pyarts3.workspace.Workspace.ray_path_propagation_matrix_jacobian` 
       * :attr:`~pyarts3.workspace.Workspace.ray_path_propagation_matrix_source_vector_nonlte_jacobian` 
       * :attr:`~pyarts3.workspace.Workspace.ray_path_spectral_radiance_jacobian` 
       * :attr:`~pyarts3.workspace.Workspace.ray_path_spectral_radiance_source_jacobian` 
       * :attr:`~pyarts3.workspace.Workspace.ray_path_transmission_matrix_jacobian` 
       * :attr:`~pyarts3.workspace.Workspace.spectral_radiance_background_jacobian` 
       * :attr:`~pyarts3.workspace.Workspace.spectral_radiance_jacobian`
   
   .. :class:`~pyarts3.arts.Matrix`