.. _sphx_glr_api_gallery_analytical_uncertainty:

Propagation of uncertainty
-----------------------------

Closed-form uncertainty-propagation formulas for sums, products, and
powers, cross-checked against a general numerical implementation.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="The closed-form rules for sums (~chemistrykit.analytical.systems.uncertainty.propagate_sum), products/quotients (~chemistrykit.analytical.systems.uncertainty.propagate_product), and powers (~chemistrykit.analytical.systems.uncertainty.propagate_power) are each a special case of the general first-order propagation formula, which propagate_uncertainty evaluates directly via numerical partial derivatives -- useful when no simple closed form is at hand.">

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  .. image:: /api/gallery/analytical/uncertainty/images/thumb/sphx_glr_plot_01_error_propagation_thumb.png
    :alt:

  :doc:`/api/gallery/analytical/uncertainty/plot_01_error_propagation`

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      <div class="sphx-glr-thumbnail-title">Propagation of uncertainty with the first-order (Ku) formula</div>
    </div>


.. thumbnail-parent-div-close

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    </div>


.. toctree::
   :hidden:

   /api/gallery/analytical/uncertainty/plot_01_error_propagation