Taylor Series v4

[mds2120]

• [x] In order to run SORM, do you first have to run FORM? This seems like an unnecessary step.
• [x] Double check that all notation is consistent. X, Y are uncorrected and correlated non-Gaussian respectively. U, Z are uncorrelated and correlated standard normal. Make sure the notation conventions are clear to the user.
• [x] Figure should all be in terms of U
• [x] iterations_number --> niterations
• [x] make derivatives method private
• [x] Get rid of FORM_object from base class and FORM. It should only be in SORM
• [x] Break seed_u and seed_x into two parameters in the list of parameters. State that, if they are provided, run() will execute. If they are not, the object will be created but run() will not execute. We can execute run() on its own by providing either of these.
• [x] Heading theory is not necessary in the examples
• [x] Both FORM and SORM need a short description at the top of the documentation. Refer back to the TaylorSeries page for theory.
• [x] RunModel_object not optional
• [x] corr_x and cord_z as separate parameters in the list
• [x] rename beta_form to beta
• [x] form_iterations --> iterations
• [x] error_record should be a list, no?
• [x] Some question about how to implement the tolerances. Do we specify all three? Just one?
• [x] Examples for SORM
• [x] Examples for FORM and SORM in the dropdown menu

[dgiovanis]

In order to run SORM, do you first have to run FORM? This seems like an unnecessary step. [SORM uses the reliability index from FORM, so you have to run FORM first. -An alternative is to run FORM internally when calling SORM.] https://github.com/SURGroup/UQpy/blob/81221cbb8e00c55548866b01dfb653143dbfa586/src/UQpy/reliability/taylor_series/SORM.py#L88