measurement_vector
==================

.. currentmodule:: pyarts3.workspace

.. attribute:: Workspace.measurement_vector
   :type: ~pyarts3.arts.Vector
   
   The measurment vector for, e.g., a sensor.
   
   This must often be the same size as :attr:`~pyarts3.workspace.Workspace.measurement_sensor`.
   
   The notation in ARTS, for the purpose of :func:`~pyarts3.workspace.Workspace.OEM`, is that
   
   .. math::
       \vec{y} = \mathbf{F}\left(\vec{x}\right) + \vec{y}_\epsilon\left(\vec{x}\right) + \epsilon
   
   where
   :math:`\mathbf{F}` is the forward model function of the physics of the simulation space,
   :math:`\vec{x}` is the :attr:`~pyarts3.workspace.Workspace.model_state_vector`,
   :math:`\vec{y}_\epsilon` is the :attr:`~pyarts3.workspace.Workspace.measurement_vector_error`, and
   :math:`\epsilon` are any additional errors, such as random noise.
   
   Throughout ARTS, :attr:`~pyarts3.workspace.Workspace.measurement_vector` have different contextual meanings.
   These are:
   
   1. :math:`\vec{y}` - i.e., measured data.
   2. :math:`\vec{y} - \epsilon` - e.g., the best fit to measured data, :attr:`~pyarts3.workspace.Workspace.measurement_vector_fitted`. 
   3. :math:`\mathbf{F}\left(\vec{x}\right)` - i.e., the physical model of the measurement.
   
   
   
   
   .. rubric:: Input to workspace methods
   
   .. hlist::
       :columns: 1
   
       * :func:`~pyarts3.workspace.Workspace.OEM` 
       * :func:`~pyarts3.workspace.Workspace.measurement_vector_fittedFromMeasurement`
   
   
   .. rubric:: Modified by workspace method
   
   .. hlist::
       :columns: 1
   
       * :func:`~pyarts3.workspace.Workspace.measurement_vectorConditionalAddError`
   
   
   .. rubric:: Output from workspace methods
   
   .. hlist::
       :columns: 1
   
       * :func:`~pyarts3.workspace.Workspace.measurement_vectorFromOperatorPath` 
       * :func:`~pyarts3.workspace.Workspace.measurement_vectorFromSensor`
   
   
   .. rubric:: Related workspace variables
   
   .. hlist::
       :columns: 2
   
       * :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` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_jacobian_error` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_sensor` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_vector_error` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_vector_error_covariance_matrix` 
       * :attr:`~pyarts3.workspace.Workspace.measurement_vector_fitted`
   
   .. :class:`~pyarts3.arts.Vector`