Michael Baudin

Using a binary search in the `experimental_module.i`, I found that removing the line 55: ``` %include simulation_module.i ``` makes the command: ``` python3 ../python/test/t_LinearModelValidation_std.py ``` to work. I conclude that...

Now I can see your point in [this one](https://openturns.github.io/openturns/latest/auto_meta_modeling/kriging_metamodel/plot_kriging_hyperparameters_optimization.html): 

> the new integration methods should probably be attached to some integration classes rather to DOE classes I agree, but you mean some _new_ integration class, because there is no...

> it would probably be a new ExperimentIntegration Let's design this. ```python integrand = ot.Function() weightedExperiment = ot.MonteCarloExperiment() quadrature = ot.ExperimentIntegration(weightedExperiment) integralPoint = quadrature.integrate(function) ``` Edit. I added this feature...

@jschueller , @sofianehaddad , @regislebrun : The PR is ready for a review. Please review the code and tell me if there is any room for improvement.

@jschueller , @sofianehaddad , @regislebrun : The PR is ready for a review. Please review the code and tell me if there is any room for improvement.

> Its difficult to review since you squashed everything together I suggest to do "reset HEAD~" (this will cancel the commit but keep modified files, and unstage the new files)...

The PR is ready for another round of review, and this is why I tag it as ready, hoping it will make its way to 1.22. @regislebrun , @sofianehaddad :...

TODO: generate an exception if there is a dependency in the input

I split this PR into several PR: - on design of experiments and Symbolic exception message : see #2616 - on math_notations changes in *_doc.in without new apis : see...