[mmcky]

Automated Translation Sync

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

Source PR

#990 - TEST: Subsection deleted (Matrix Operations) (14 - lecture)

Files Added

• ✅ .translate/state/lecture.md.yml

Files Updated

• ✏️ lecture.md

⚠️ Target-Only Sections Removed

The following sections exist in the current translation but have no counterpart in the source document, so this sync removes them (the translation mirrors the source's structure). If the source deleted these sections, this removal is correct — merge as usual. If they are human-authored additions you want to keep, move them into a target-only file before merging (see adding content to a translated edition).

• lecture.md: Matrix Operations

Details

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

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This PR was created automatically by the translation action.

[Copilot]

🟢 Approval recommended

It is a mechanical translation-sync whose section removal, frontmatter pruning, and state-file metadata (source SHA, date, and section-count of 2) all verify as consistent with the source and repository conventions.

0 open findings

What changed in this PR

This is an automated translation sync PR that mirrors a structural change from the English source repository into the Malayalam (ml) translation. The source PR (#990) deleted the "Matrix Operations" subsection, so this PR removes the corresponding translated section from lecture.md and records the sync state.

Changes:

• Removes the ## Matrix Operations section (including its ### Applications in Economics subsection and the input-output/Leontief code cell) from lecture.md.
• Removes the two now-orphaned Matrix Operations entries from the frontmatter translation.headings mapping.
• Adds a sync state file .translate/state/lecture.md.yml recording source SHA, sync date, model, mode, section count, and tool version.

File	Description
lecture.md	Removes the "Matrix Operations" section and its subsection to match the source structure, and prunes the corresponding frontmatter heading mappings.
.translate/​state/​lecture.md.yml	New sync-state record; section-count: 2 correctly reflects the two remaining level-2 headings after removal.

Verification notes:

• source-sha: a5b1a6fcdf56fb73961487fe91000a8adea9b659 matches the PR description's sourceCommitSha.
• section-count: 2 matches the two remaining ## headings (## Vector Spaces at line 23, ## Eigenvalues and Eigenvectors at line 76).
• The frontmatter headings map no longer contains dangling entries; all 4 remaining mappings correspond to actual headings in the document.
• synced-at: "2026-10-09" equals the current date (not a future date), and model/mode are consistent with the PR metadata.

🧠 Review effort: Balanced

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[github-actions]

✅ Translation Quality Review

Verdict: PASS | Model: claude-sonnet-5 | Date: 2026-10-09
Routing: editor — 1 minor finding(s) in gating categories (accuracy/terminology/syntax/diff-check/other)

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📝 Translation Quality

Criterion	Score
Accuracy	9/10
Fluency	9/10
Terminology	9/10
Formatting	10/10
Overall	9.2/10

Summary: The changed sections (frontmatter metadata and 'Applications in Economics') are translated accurately and fluently, following the glossary and language policy well — English technical terms are retained appropriately, sentence structure reads naturally in Malayalam, and MyST math/code formatting is intact. The deletion of the 'Matrix Operations' section is correctly reflected. No syntax errors or major issues found in the modified content. The translation of 'Applications in Economics' accurately preserves the economic reasoning about closure and inverses while keeping key terms (closure property, feasible allocations, debts, obligations) consistent with the glossary policy of retaining English technical nouns. Frontmatter translation metadata is correctly added per the sync system requirements without disrupting YAML validity. Math block formatting for the vector sum equation is preserved exactly as in the source.

Suggestions:

• [minor · terminology] lecture.md — #### Applications in Economics: "inverses-ന്റെ നിലനിൽപ്പ്" subtly shifts the meaning from the source's "the existence of inverses" referring back to additive inverses already mentioned; it reads fine but slightly restates rather than referencing the earlier concept. This is a minor fluency/accuracy nuance, not an error.
• [nit · formatting] lecture.md — Deleted ## Matrix Operations section: The entire 'Matrix Operations' section (including its code cell) was removed in the Malayalam translation along with the English source deletion, which is consistent with the PR's intent. No issue here, but noting for completeness that the deletion is clean and matches the source's removal.

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🔍 Diff Quality

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

Summary: The translation correctly removes the entire Matrix Operations section matching the source deletion, with proper position, structure, and heading-map updates.

Issues:

• The entire 'Matrix Operations' section (## Matrix Operations and its ### Applications in Economics subsection) was removed from the source, but the translation metadata headings 'Matrix Operations' and 'Matrix Operations::Applications in Economics' were correctly removed from the frontmatter - this part is correct.
• However, verify: the heading map removal appears correct upon closer inspection - both 'Matrix Operations' and 'Matrix Operations::Applications in Economics' entries were removed from the translation.headings map, matching the deleted sections.

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

[mmcky]

Closing for test reset