🌐 [translation-sync] TEST: Document renamed (lecture.md → linear-algebra.md + TOC) (20 - rename)

[mmcky]

Automated Translation Sync

This PR contains automated translations from QuantEcon/test-translation-sync.

Source PR

#996 - TEST: Document renamed (lecture.md → linear-algebra.md + TOC) (20 - rename)

Files Added

• ✅ linear-algebra.md
• ✅ .translate/state/linear-algebra.md.yml

Files Updated

• ✏️ _toc.yml

Files Deleted

• ❌ lecture.md

Details

• Source Language: en
• Target Language: ml
• Model: claude-sonnet-5

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This PR was created automatically by the translation action.

[github-actions]

✅ Translation Quality Review

Verdict: PASS | Model: claude-sonnet-5 | Date: 2026-10-09
Routing: auto-merge — no gating findings; floors met

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📝 Translation Quality

Criterion	Score
Accuracy	9/10
Fluency	8/10
Terminology	9/10
Formatting	10/10
Overall	8.9/10

Summary: The modified preamble (frontmatter) and 'Applications in Economics' (Vector Spaces) section are translated accurately and terminologically consistent with the glossary and policy. Minor stylistic tightening around clause-boundary commas and list coordination could improve fluency, but no accuracy, terminology, or formatting errors were found in the changed sections. Frontmatter translation metadata correctly added without disturbing YAML structure, consistent with sync-system expectations Technical terms (vector space, closure, additive identity, inverses) consistently kept in English per glossary/policy Mathematical notation and {math} directive preserved exactly in the Applications in Economics section

Suggestions:

• [minor · fluency] linear-algebra.md — #### Applications in Economics (Vector Spaces): The sentence 'closure property, feasible allocations-ന്റെ combinations feasible ആയി തുടരുന്നു എന്ന് ഉറപ്പാക്കുന്നു' runs long without a clause-boundary comma after the fronted topic phrase, slightly reducing readability per the comma-boundary policy. → closure property, feasible allocations-ന്റെ combinations feasible ആയി തുടരുന്നു എന്ന് ഉറപ്പാക്കുന്നു, അതേസമയം inverses-ന്റെ നിലനിൽപ്പ് debts, obligations എന്നിവ model ചെയ്യാൻ നമ്മെ അനുവദിക്കുന്നു.
• [nit · terminology] linear-algebra.md — #### Applications in Economics (Vector Spaces): 'debts, obligations' is rendered as a juxtaposed list ('debts, obligations എന്നിവ') without the English comma-conjunction pattern used elsewhere consistently; acceptable but could use -ഉം...-ഉം coordination per policy for two coordinated items if a tighter reading is desired. → debts-ഉം obligations-ഉം model ചെയ്യാൻ നമ്മെ അനുവദിക്കുന്നു

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🔍 Diff Quality

Check	Status
Scope Correct	✅
Position Correct	✅
Structure Preserved	✅
Heading-map Correct	✅
Overall	10/10

Summary: The translation was correctly created for a new file with full content, matching section structure, and properly populated heading-map metadata.

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This review was generated automatically by action-translation review mode.

[Copilot]

🟢 Approval recommended

It is a mechanical automated translation sync whose structural changes (rename, TOC repoint, state metadata with correct section-count) were all verified consistent with the repository and PR metadata.

0 open findings

What changed in this PR

This PR is an automated translation sync from the source repository, reflecting a document rename (lecture.md → linear-algebra.md) plus a corresponding table-of-contents update. It adds the Malayalam (ml) translation of the renamed lecture, records sync metadata, and repoints the book's TOC. The old lecture.md and its state file .translate/state/lecture.md.yml are removed as part of the rename (verified in the working tree, with no dangling references remaining).

Changes:

• Add the translated lecture linear-algebra.md (content translated to ml, English technical terms preserved — consistent with existing lecture-minimal.md style).
• Add sync-state metadata .translate/state/linear-algebra.md.yml (mode: UPDATE, section-count: 3, synced-at: 2026-10-09, source SHA matching the PR metadata).
• Update _toc.yml to reference linear-algebra instead of the renamed lecture.

File	Description
linear-algebra.md	New translated lecture; frontmatter heading map matches the 3 L2 / nested headings in the body.
.translate/​state/​linear-algebra.md.yml	Sync metadata; section-count: 3 correctly matches the three ## headings; date is current, source-sha matches PR metadata.
_toc.yml	TOC entry updated from lecture to linear-algebra, consistent with the rename; no stale references remain.

I confirmed: the three level-2 headings (## Vector Spaces, ## Matrix Operations, ## Eigenvalues and Eigenvectors) match section-count: 3; synced-at is today's date (not a future date); the old file and its state YAML are deleted; and no other file references the removed lecture document. No issues were found.

🧠 Review effort: Balanced

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[mmcky]

Closing for test reset