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alternative proof of gauss integral #1584

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IshiguroYoshihiro
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Motivation for this change

I added an alternative proof of gauss integral and placed it in theories/showcase.
This is an experimental approach to evaluating improper integral.
I have already separate reusable lemmas and made PRs ( #1579 is under review now), so this file intended to showcases the difference of proof strategy.
In contrast to the existing proof, this version mainly relies on lemmas related to integration over unbounded intervals.

Checklist
  • added corresponding entries in CHANGELOG_UNRELEASED.md
  • added corresponding documentation in the headers

Reference: How to document

Merge policy

As a rule of thumb:

  • PRs with several commits that make sense individually and that
    all compile are preferentially merged into master.
  • PRs with disorganized commits are very likely to be squash-rebased.
Reminder to reviewers

@IshiguroYoshihiro IshiguroYoshihiro changed the title Gauss integral alternative 20250422 alternative proof of gauss integral Apr 22, 2025
@hoheinzollern hoheinzollern self-requested a review April 23, 2025 04:06
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