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Corrects SORM documentation
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dimtsap committed Jul 26, 2023
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2 changes: 1 addition & 1 deletion docs/source/reliability/sorm.rst
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Expand Up @@ -4,7 +4,7 @@ SORM
In SORM the performance function is approximated by a second-order Taylor series around the design point according to


.. math:: G(\textbf{U}) = G(\textbf{U}^\star) + \nabla G(\textbf{U}^\star)(\textbf{U}-\textbf{U}^\star)^\intercal + \frac{1}{2}(\textbf{U}-\textbf{U}^\star)\textbf{H}(\textbf{U}-\textbf{U}^\star)
.. math:: G(\textbf{U}) = G(\textbf{U}^\star) + \nabla G(\textbf{U}^\star)(\textbf{U}-\textbf{U}^\star)^\intercal + \frac{1}{2}(\textbf{U}-\textbf{U}^\star)\textbf{H}(\textbf{U}-\textbf{U}^\star)(\textbf{U}-\textbf{U}^\star)^T

where :math:`\textbf{H}` is the Hessian matrix of the second derivatives of :math:`G(\textbf{U})` evaluated at
:math:`\textbf{U}^*`. After the design point :math:`\textbf{U}^*` is identified and the probability of failure
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