[action-translation] resync: cass_koopmans_1.md

[mmcky]

Forward Resync: cass_koopmans_1.md

Source: QuantEcon/lecture-python.myst — lectures/cass_koopmans_1.md
Source commit: bce028b
This PR resyncs the translation to match the current source document.

Reason: The target has minor i18n additions (font config for matplotlib) which are allowed, but there is a substantive content change: in the bisection function, the source sets c0_upper = pp.f(k0) + (1 - pp.δ) * k0 while the target sets c0_upper = pp.f(k0) (missing the depreciation/capital term). This changes the code logic, not just style, requiring correction/re-translation.

Changes

Whole-file resync applied. The entire document was resynced in a single pass.

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Created by action-translation forward resync

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[Copilot]

Pull request overview

This PR forward-resyncs the Chinese translation of cass_koopmans_1.md to match the upstream source document at commit bce028b, including correcting a previously divergent code expression in the bisection routine.

Changes:

• Added translation metadata (title + heading mappings) to the lecture front matter.
• Resynced lecture content, including fixing bisection’s c0_upper bound to include the depreciation/capital term.
• Added translation state tracking file for the resync (.translate/state/...yml).

Reviewed changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 3 comments.

File	Description
lectures/cass_koopmans_1.md	Resynced translated lecture content; updates metadata and aligns code/math/text with source.
.translate/state/cass_koopmans_1.md.yml	Records resync provenance (source SHA, date, model, mode, section count).

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✅ Translation Quality Review

Verdict: PASS | Model: claude-sonnet-5 | Date: 2026-07-19

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📝 Translation Quality

Criterion	Score
Accuracy	9/10
Fluency	9/10
Terminology	8/10
Formatting	9/10
Overall	8.8/10

Summary: This is a high-quality translation that accurately conveys the technical and mathematical content of the Cass-Koopmans model lecture. The translation demonstrates strong command of economic and mathematical terminology consistent with the glossary, and equations/code blocks are well preserved. Minor issues include a terminology inconsistency in the KKT condition reference (mixing Chinese link resources with English terminology conventions), a version metadata discrepancy in jupytext_version, and slight redundancy in bilingual annotation for 'Turnpike property'. Overall, the translation is fluent, accurate, and well-formatted for academic/technical content. Mathematical equations, LaTeX formatting, and code blocks are accurately preserved throughout the translation Technical economic and mathematical terminology (拉格朗日乘数, 欧拉方程, 可行性约束, 稳态, etc.) is applied consistently and matches established glossary conventions The translation maintains natural academic register in Chinese while accurately conveying complex mathematical derivations and economic reasoning Section headings and cross-references (使用 {doc}, {eq}, {numref}) are properly maintained and functional

Suggestions:

• Terminology: 'Karush-Kuhn-Tucker condition' link was changed to a Chinese Baidu Baike link and translated as '库恩塔克条件' instead of consistently using '卡鲁什-库恩-塔克条件' (KKT) as used elsewhere in the same paragraph - consider using the original English Wikipedia link and consistent naming for consistency with the source and glossary conventions.
• Formatting: The jupytext_version was changed from 1.17.2 (source) to 1.16.4 in the translation frontmatter - this appears to be a version mismatch that should be verified against the actual source file being synced.
• Accuracy: In the 'A Turnpike Property' section title translation '收费公路性质（Turnpike property）', the parenthetical English term duplicates what's already conveyed in the Chinese translation and glossary term 'Turnpike'; consider simplifying to just '收费公路性质' for cleaner style, consistent with how other technical terms in the document are handled without redundant English annotations.
• Formatting: matplotlib font configuration code (FONTPATH, mpl.font_manager, etc.) was added in the translation's import block but does not exist in the English source - this is likely intentional for CJK font rendering in plots, but should be confirmed as an approved addition to the translation pipeline rather than an unintended content deviation.

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🔍 Diff Quality

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

Summary: The target document correctly matches the source structure with all sections in proper order and a complete, correctly-nested translation heading map.

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