🌐 [translation-sync] [qr_decomp] Some updates to code and wording

[mmcky]

Automated Translation Sync

This PR contains automated translations from QuantEcon/lecture-python.myst.

Source PR

#1044 - [qr_decomp] Some updates to code and wording

Files Updated

• ✏️ lectures/qr_decomp.md
• ✏️ .translate/state/qr_decomp.md.yml

Details

• Source Language: en
• Target Language: zh-cn
• Model: claude-sonnet-5

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This PR was created automatically by the translation action.

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✅ Translation Quality Review

Verdict: PASS | Model: claude-sonnet-5 | Date: 2026-09-01
Routing: editor — 1 minor finding(s) in gating categories (accuracy/terminology/syntax/diff-check/other)
Shadow gate: would NOT auto-merge (recorded only; no action taken)

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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: 翻译整体准确流畅，术语使用规范一致，数学公式和代码块格式保持完好。仅存在少数细微的语气/措辞可优化之处，不影响整体理解，属于高质量翻译。 数学公式与代码块完整保留，格式与原文一致 术语翻译（如格拉姆-施密特正交化、特征值、QR分解等）准确且与术语表一致 长句拆分处理得当，专业内容表达清晰易懂

Suggestions:

• [minor · accuracy] lectures/qr_decomp.md — ## QR and PCA, step 5: 英文原文 'It will turn out that' 表达的是确定性的结论（后续将证明这一点），译文译为'我们应该会发现'带有一定的猜测/不确定语气，弱化了原文的确定性。 → 结果将是 $\Lambda = \hat \Lambda$ 且 $P = Q \tilde P$。
• [minor · fluency] lectures/qr_decomp.md — ## Gram-Schmidt process, 'The Gram-Schmidt procedure continues iterating.': 译文'格拉姆-施密特算法过程迭代这个过程'表达略显冗余重复（'过程'出现两次，且'迭代这个过程'读起来生硬），不够自然流畅。 → 格拉姆-施密特过程不断迭代进行。
• [nit · fluency] lectures/qr_decomp.md — ## Using QR decomposition to compute eigenvalues, prf:remark: 译文加入了'实际上'一词，英文原文没有对应的强调词，属于轻微增译，虽不影响准确性但可以更贴近原文简洁的语气。 → 这个算法非常接近计算特征值最高效的方法之一！

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🔍 Diff Quality

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

Summary: The translation sync correctly applied all source content changes, notation updates, function renames, and heading-map updates in matching positions within the target document.

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

[Copilot]

Pull request overview

Automated translation-sync update for the QR decomposition lecture, bringing the zh-cn qr_decomp content in line with upstream wording/code changes from QuantEcon/lecture-python.myst.

Changes:

• Updated lecture prose and math notation (e.g., clarified dimensions/definitions in the QR factorization discussion).
• Refreshed embedded Python examples (deterministic RNG seed; renamed functions to qr_decomposition / qr_eigvals; improved sign-adjustment logic and docstrings).
• Updated translation sync state metadata to the new source commit and tool version.

Reviewed changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated no comments.

File	Description
lectures/qr_decomp.md	Syncs translated lecture content and code examples with upstream QR decomposition updates.
.translate/state/qr_decomp.md.yml	Advances translation sync metadata (source SHA, synced date, tool version).

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[github-actions]

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