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corrected vector notation in math statement
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connor-krill committed Aug 16, 2023
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6 changes: 3 additions & 3 deletions docs/source/reliability/index.rst
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Expand Up @@ -3,7 +3,7 @@ Reliability

Reliability of a system refers to the assessment of its probability of failure (i.e the system no longer satisfies some
performance measures), given the model uncertainty in the structural, environmental and load parameters. Given a vector
of random variables :math:`\textbf{X}=\{X_1, X_2, \ldots, X_n\} \in \mathcal{D}_\textbf{X}\subset \mathbb{R}^n`, where
of random variables :math:`\textbf{X}=[X_1, X_2, \ldots, X_n]^T \in \mathcal{D}_\textbf{X}\subset \mathbb{R}^n`, where
:math:`\mathcal{D}` is the domain of interest and :math:`f_{\textbf{X}}(\textbf{x})` is its joint probability density
function then, the probability that the system will fail is defined as

Expand All @@ -22,8 +22,8 @@ transformation and can support reliability analysis for problems with arbitraril
This module contains functionality for all reliability methods supported in :py:mod:`UQpy`.
The module currently contains the following classes:

- :class:`.TaylorSeries`: Class to perform reliability analysis using First Order reliability Method (:class:`FORM`) and Second Order
Reliability Method (:class:`SORM`).
- :class:`.TaylorSeries`: Class to perform reliability analysis using First Order Reliability Method (:class:`FORM`),
Inverse First Order Reliability Method (:class:`InverseFORM`) and Second Order Reliability Method (:class:`SORM`).
- :class:`.SubsetSimulation`: Class to perform reliability analysis using subset simulation.


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