🌐 [translation-sync] TEST: Sub-subsection deleted (Closure Property) (15 - lecture)

[mmcky]

Automated Translation Sync

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

Source PR

#991 - TEST: Sub-subsection deleted (Closure Property) (15 - lecture)

Files Added

• ✅ .translate/state/lecture.md.yml

Files Updated

• ✏️ lecture.md

Details

• Source Language: en
• Target Language: fa
• 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	10/10
Fluency	9/10
Terminology	10/10
Formatting	10/10
Overall	9.8/10

Summary: ترجمه بخش‌های تغییریافته (پیش‌نویس YAML و بخش 'Basic Properties') دقیق، روان و از نظر اصطلاحی سازگار با واژه‌نامه است. هیچ خطای نحوی یا ساختاری یافت نشد و فرمول‌ها و بلوک‌های کد به‌درستی حفظ شده‌اند. تنها یک نکته سبکی جزئی در ترجمه 'additive identity' قابل ذکر است که تأثیری بر کیفیت کلی ندارد. متادیتای ترجمه (translation frontmatter) به‌درستی و کامل اضافه شده و تمام عناوین بخش‌های تغییریافته را پوشش می‌دهد بخش 'Basic Properties' با دقت و روانی مناسب ترجمه شده و مفاهیم ریاضی (بسته بودن، هویت جمعی، معکوس جمعی) به‌درستی منتقل شده‌اند فرمول‌های LaTeX و بلوک‌های کد بدون تغییر و سالم حفظ شده‌اند اصطلاحات فنی مطابق با واژه‌نامه مرجع به کار رفته‌اند

Suggestions:

• [nit · fluency] lecture.md — ### ویژگی‌های اساسی - 'هویت جمعی': عبارت 'additive identity' به صورت 'هویت جمعی' ترجمه شده که صحیح است، اما در فارسی گاهی 'عنصر همانی جمعی' نیز رایج‌تر است؛ این یک ترجیح سبکی جزئی است، نه خطا.

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🔍 Diff Quality

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

Summary: The removal of the '#### Applications in Economics' subsection under Vector Spaces/Basic Properties was correctly mirrored in the target document, including proper removal of only the corresponding nested heading-map entry.

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

[Copilot]

🟢 Approval recommended

The deletion is mirrored cleanly and consistently in both the translated document and the sync state file, with section-count and metadata fully matching the source change.

0 open findings

What changed in this PR

This is an automated translation-sync PR that propagates a source change (QuantEcon/test-translation-sync#991) into the Farsi (fa) translation. The source change deleted the "Applications in Economics" (Closure Property) sub-subsection nested under Vector Spaces::Basic Properties, and this PR mirrors that deletion in the translated lecture.md and records the sync state.

Changes:

• Removed the Vector Spaces::Basic Properties::Applications in Economics entry from the translation.headings front matter and its corresponding #### کاربردها در اقتصاد section body in lecture.md.
• Added .translate/state/lecture.md.yml capturing sync metadata (source-sha, mode: UPDATE, section-count: 3, tool-version).

File	Description
lecture.md	Removes the deleted sub-subsection's heading entry and translated body content, matching the source deletion.
.translate/​state/​lecture.md.yml	New per-file sync state; section-count: 3 matches the 3 remaining top-level headings.

I verified: the heading and content removals are clean (body flows correctly from line 65 to 67), the retained کاربردها در اقتصاد references (lines 16/117) belong to the distinct Matrix Operations subsection and are correctly untouched, section-count: 3 matches the three top-level headings, and the state file's source-sha, model, mode, and synced-at date align with the PR metadata with no future date.

🧠 Review effort: Balanced

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[mmcky]

Closing for test reset