Emmy Noether: Modern LaTeX Drafts and English Translation Working Drafts

Dedicated Emmy Noether record for the Modern LaTeX Editions of Mathematics Manuscripts project. This version keeps the curated reader-facing working surface and adds a compact RA23 display-layout correction package rather than raw audit sprawl. Current reader files. German/source cumulative: RA22/RA23 display-fix branch. English cumulative: RA10 apparatus-restoration branch with RA23 display-layout corrections. Spanish and Japanese: RA10 cumulative working branches with RA23 display-layout corrections. French and Simplified Chinese: checkpoint streams; French is patched through Paper 17 §9 for this defect class, while Chinese through Paper 17 §9 was scanned with no matching vertical-rule candidate detected. Status at a glance. This is not a certified critical edition. The files are useful working drafts and translation drafts; subtle formula errors, scan-reading errors, apparatus drift, and cross-language synchronization errors may remain. Verify important equations, tables, theorem statements, and unusual notation against the source witnesses before citation-critical use. Latest correction package. RA23 treats the repeated invented-vertical-rule array/table issue as a source-critical math defect: open spatial displays in the source remain open in TeX, while source-visible vertical rules are retained. The package includes corrected TeX/PDF branches, diffs, source witnesses, render checks, logs, and a concise audit note. Known open items. Paper 02 symbol pass continues from printed p.66 reductions / p.67 onward. After Paper 02 is locally symbol-closed, RA12-RA22 symbol corrections must still be propagated into EN/ES/JA/FR/ZH. Full symbol-level source audit remains open for all papers except Paper 01. Corrections and collaboration. Source comparisons, LaTeX fixes, translation corrections, and reader-facing issue reports can be suggested through GitHub issues or pull requests: https://github.com/KokunoYumeto/modern-latex-manuscripts.