[action-translation] resync: finite_markov.md

[mmcky]

Forward Resync: finite_markov.md

Source: QuantEcon/lecture-python.myst — lectures/finite_markov.md
Source commit: 089e35c
This PR resyncs the translation to match the current source document.

Reason: The translation includes additional font configuration code in the imports (not in source), and adds extra explanatory sentences in a few places (e.g., expanded explanation about main diagonal persistence, expanded explanation about infinite persistence/closed sets). Also minor content restructuring in some paragraphs. These additions beyond the source content mean re-translating from source would lose this content, so TARGET_HAS_ADDITIONS takes priority.

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 finite_markov.md to match the current upstream source (while preserving target-only additions), and records sync state metadata for the translation tooling.

Changes:

• Added translation: frontmatter (title + heading mappings) and performed whole-document content resync.
• Normalized many MyST {code-cell} directives and updated multiple external links (e.g., QuantEcon, Wikipedia).
• Added translation sync state file .translate/state/finite_markov.md.yml with source SHA and tooling metadata.

Reviewed changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 4 comments.

File	Description
lectures/finite_markov.md	Whole-file resync of the translated lecture content, frontmatter, code-cell markup, and links.
.translate/state/finite_markov.md.yml	New translation-sync state metadata (source SHA, sync date, model, mode).

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🚀 Deployed on https://6a5c2ef787eaef3fe656f555--astonishing-narwhal-a8fc64.netlify.app

[github-actions]

✅ 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	9/10
Formatting	9/10
Overall	9/10

Summary: This is a high-quality, comprehensive resync translation that accurately preserves the mathematical content, terminology, and document structure of the English source. The translation reads fluently in academic Chinese and follows the established glossary consistently. Minor stylistic additions (slight paraphrasing/expansion in a few explanatory sentences) do not affect accuracy or introduce errors. No syntax errors were found in markdown/MyST formatting, math blocks, or code blocks. Excellent handling of complex mathematical notation and LaTeX formatting throughout, with all equations and labels preserved correctly. Consistent and accurate use of established terminology (随机矩阵, 平稳分布, 遍历性, 转移概率, etc.) matching the glossary. Code blocks, directives ({exercise}, {solution}, {figure}, etc.) and cross-references are all correctly preserved and functional. Natural, fluent academic Chinese register that reads smoothly while maintaining technical precision, particularly in the PageRank and Markov chain convergence sections.

Suggestions:

• In the geometric sums section: the translation adds '\Bigr]' to the LaTeX expression that doesn't appear consistently paired with an opening '\Bigl[' equivalent bracket size in the original source (original uses plain brackets) — verify rendering consistency, though this is a minor formatting deviation from source and not likely to break compilation.
• Section '定义' introduction: 'The following concepts are fundamental.' was translated as '让我们先介绍一些基本概念' which is a reasonable paraphrase but slightly loses the declarative tone of the original; consider closer rendering like '以下是一些基本概念' for tighter fidelity.
• In 'Multiple Step Transition Probabilities' section, the phrase 'consider again {eq}mdfmc2, but now with a $\psi_t$ that puts all probability on state $x$' is split into two sentences in Chinese ('让我们重新考虑...这相当于确定系统...') which adds a slight interpretive gloss not present in the source; while helpful for clarity, it goes slightly beyond direct translation.
• Minor terminology note: 'stochastic steady states' is translated as '随机稳态' consistently, which is good, but in the 'Convergence to Stationarity' section, the phrase '无论系统最初处于什么状态' is an added clarifying phrase not directly present in the English 'This adds considerable authority to our interpretation of ψ* as a stochastic steady state' — slightly expansive but does not distort meaning.

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🔍 Diff Quality

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

Summary: The resync correctly updates lectures/finite_markov.md with matching section order, preserved heading hierarchy, and accurate translation metadata mapping all English headings to their Chinese equivalents using proper double-colon notation.

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