post EET merge clean up

[janzill]

Several small fixes and clean ups:

1. Documentation didn't render math equations because mathjax was not enabled
2. After our sampling discussions I realized that there is an edge case when Poisson sampling comes up empty and the number of available alternatives is smaller than the sample_size. Added a fix and a unit test.
3. Now that the branch is public-facing we should use standard simulation terminology instead of our informal use of monte carlo for sampling from the inverse cdf with a standard uniform, see https://en.wikipedia.org/wiki/Inverse_transform_sampling. This mainly concerns the naming of sampling methods, and I chose "inverse_cdf".

@jpn-- regarding renaming a settings parameter I assumed that it's ok without deprecation in this case because the parameter was introduced less than 24h ago and there hasn't been a release yet, but let me know if you think otherwise.

[Copilot]

Pull request overview

Updates ActivitySim’s documentation and code to (1) render math in the docs, (2) harden Poisson sampling’s empty-draw fallback behavior, and (3) standardize terminology by renaming the probability-based sampling method to inverse_cdf.

Changes:

• Enable MyST dollar-math support for Sphinx docs and update docs text accordingly.
• Fix Poisson sampling fallback to exclude unavailable (zero-probability) alternatives; add a focused unit test.
• Rename monte_carlo sampling method to inverse_cdf across docs, configuration typing, and tests.

Reviewed changes

Copilot reviewed 15 out of 15 changed files in this pull request and generated 2 comments.

Show a summary per file

File	Description
docs/users-guide/ways_to_run.rst	Updates simulation-method terminology in the user guide.
docs/users-guide/sampling-methods.rst	Renames documented sampling method default/option to inverse_cdf.
docs/dev-guide/sampling-methods.md	Updates dev docs to match inverse_cdf naming and clarifies Poisson fallback behavior.
docs/dev-guide/explicit-error-terms.md	Updates EET documentation terminology and math formatting.
docs/conf.py	Enables MyST dollarmath extension for $...$ / $$...$$ rendering.
activitysim/core/test/test_logit.py	Updates test comments/terminology to inverse-CDF.
activitysim/core/test/test_interaction_sample.py	Adds/updates tests for Poisson fallback behavior and renamed method key.
activitysim/core/logit.py	Adds a guard against unsupported nested-logit sampling inputs.
activitysim/core/interaction_simulate.py	Removes outdated “Monte Carlo fashion” phrasing from docstrings.
activitysim/core/interaction_sample.py	Renames sampling method literal/defaults; fixes Poisson fallback padding with unavailable alts.
activitysim/core/interaction_sample_simulate.py	Removes outdated “Monte Carlo fashion” phrasing and expands EET-alignment commentary.
activitysim/core/configuration/top.py	Updates configuration typing/docs for sample_method rename.
activitysim/core/configuration/base.py	Updates compute-settings typing/docs for sample_method rename.
activitysim/abm/models/util/bias_logsums.py	Updates warning text to refer to inverse_cdf instead of monte_carlo.
activitysim/abm/models/trip_scheduling_choice.py	Clarifies EET alignment behavior and limitations in trip scheduling.

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[jpn--]

@janzill I agree no deprecation warnings are needed here. The two copilot review comments are both minor but I think reasonable. I tried to simply accept them so as to merge but I think I lack write access to the outerl fork. If you can accept them I will merge.

[janzill]

Agreed, they are reasonable so I accepted both, thanks Jeff