Keep axial beam limit-state

openturns · Oct 9, 2024 · f76a8fc · f76a8fc
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diff --git a/README.md b/README.md
@@ -17,7 +17,7 @@ the output of a function is less than a threshold,
 * sensitivity problems, i.e. estimating sensitivity indices, 
 for example Sobol' indices.
 
-Most of the reliability problems were adapted from the RPRepo:
+Most of the reliability problems were adapted from the RPRepo
 
 https://rprepo.readthedocs.io/en/latest/
 

diff --git a/otbenchmark/_AxialStressedBeamReliability.py b/otbenchmark/_AxialStressedBeamReliability.py
@@ -16,6 +16,10 @@ def __init__(self, threshold=0.0):
         The inputs are R, the Yield strength, and F, the traction load.
         We have R ~ LogNormalMuSigma() and F ~ Normal().
 
+        .. math::
+
+            g(R, F) = R - \frac{F}{\pi 100}
+
         Parameters
         ----------
         threshold : float

diff --git a/otbenchmark/_OakleyOHaganSensitivity.py b/otbenchmark/_OakleyOHaganSensitivity.py
@@ -18,9 +18,9 @@ def __init__(self):
         The function is defined by the equation:
 
         .. math::
-            g(x) = x'Mx+a1'x + a2' sin(x) + a3'cos(x)
+            g(x) = x'Mx+a1'x + a2' \sin(x) + a3'\cos(x)
 
-        where :math:`x_1, \hdots, x_{15} \tilde N(0, 1)`
+        where :math:`x_1, \hdots, x_{15} \sim N(0, 1)`
 
         The input random variables are independent.