measurement_vec
===============

.. currentmodule:: pyarts3.workspace

.. attribute:: Workspace.measurement_vec
   :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_vec`,
   :math:`\vec{y}_\epsilon` is the :attr:`~pyarts3.workspace.Workspace.measurement_vec_error`, and
   :math:`\epsilon` are any additional errors, such as random noise.

   Throughout ARTS, :attr:`~pyarts3.workspace.Workspace.measurement_vec` 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_vec_fit`.
   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_vec_fitFromMeasurement`


   .. rubric:: Modified by workspace method

   .. hlist::
       :columns: 1

       * :func:`~pyarts3.workspace.Workspace.measurement_vecConditionalAddError`


   .. rubric:: Output from workspace methods

   .. hlist::
       :columns: 1

       * :func:`~pyarts3.workspace.Workspace.measurement_vecFromOperatorPath`
       * :func:`~pyarts3.workspace.Workspace.measurement_vecFromSensor`


   .. rubric:: Related workspace variables

   .. hlist::
       :columns: 2

       * :attr:`~pyarts3.workspace.Workspace.measurement_vec_error`
       * :attr:`~pyarts3.workspace.Workspace.measurement_vec_error_covmat`
       * :attr:`~pyarts3.workspace.Workspace.measurement_vec_fit`
       * :attr:`~pyarts3.workspace.Workspace.model_state_vec`
       * :attr:`~pyarts3.workspace.Workspace.model_state_vec_apriori`
       * :attr:`~pyarts3.workspace.Workspace.single_nlte_srcvec`
       * :attr:`~pyarts3.workspace.Workspace.single_nlte_srcvec_jac`
       * :attr:`~pyarts3.workspace.Workspace.single_nlte_srcvec_jac_path`
       * :attr:`~pyarts3.workspace.Workspace.single_nlte_srcvec_path`
       * :attr:`~pyarts3.workspace.Workspace.spectral_absvec_scat`
       * :attr:`~pyarts3.workspace.Workspace.spectral_absvec_scat_path`
       * :attr:`~pyarts3.workspace.Workspace.spectral_nlte_srcvec`
       * :attr:`~pyarts3.workspace.Workspace.spectral_nlte_srcvec_jac`
       * :attr:`~pyarts3.workspace.Workspace.spectral_nlte_srcvec_jac_path`
       * :attr:`~pyarts3.workspace.Workspace.spectral_nlte_srcvec_path`
       * :attr:`~pyarts3.workspace.Workspace.spectral_rad_srcvec_jac_path`
       * :attr:`~pyarts3.workspace.Workspace.spectral_rad_srcvec_path`

   .. :class:`~pyarts3.arts.Vector`