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Documentation improvements: fix grammar, typos, and clarity#7
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- Expanded main README.md with repository description and structure - Fixed KdV.md title (was incorrectly "Heat Equation") - Corrected KdV equation: ∂³u/∂x³ not ∂³u/∂t³, and ∂u/∂x not ∂u/∂t - Updated deprecated Julia functions: full() → Matrix(), linspace() → range() - Fixed grammar throughout: "ie." → "i.e.,", ":-" → ":", hyphens in compounds - Improved README files in newton/ and dae_adjoint/ subdirectories - Minor clarity improvements in operator tutorial examples Co-Authored-By: Claude Sonnet 4.5 <noreply@anthropic.com>
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Summary
This PR improves documentation quality across the repository with focused fixes for grammar, typos, and clarity.
Changes Made
Main Repository
README.mdwith comprehensive repository description and structure overviewOperator Documentation (
operators/)KdV.mdtitle (was incorrectly labeled "Heat Equation")full()→Matrix()linspace()→range()Subdirectory READMEs
newton/README.mdwith description of contentdae_adjoint/README.mdwith description of contentTesting
All changes are documentation-only and do not affect code functionality. The mathematical corrections in KdV.md make the equation match the standard Korteweg–de Vries equation formulation.
cc @ChrisRackauckas
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