🌐 [translation-sync] [qr_decomp.md] Update np.random → Generator API

[mmcky]

Automated Translation Sync

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

Source PR

#999 - [qr_decomp.md] Update np.random → Generator API

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: 2026-07-31
Routing: auto-merge — no gating findings; floors met

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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: 本次PR涉及的三个章节（一些代码、使用QR分解计算特征值、QR分解与PCA）翻译准确、流畅，术语使用规范，代码和公式格式完整无误。仅存在个别措辞可进一步优化的细微问题，不影响整体理解。 代码块和数学公式格式完整保留，未破坏LaTeX或代码语法 术语翻译（如'格拉姆-施密特正交化'、'特征值'、'主成分分析'）符合术语表要求且前后一致 标题翻译准确对应YAML frontmatter中的映射

Suggestions:

• [minor · fluency] lectures/qr_decomp.md — ## $QR$ 和 PCA - point 5: 英文原文使用 'It will turn out that' 表达一种即将展示/证明的结果，译文'我们应该会发现'带有一定推测/不确定语气，与原意（后续会通过代码验证得出该结论）略有偏差 → 将'我们应该会发现'改为'结果表明'或'可以验证'
• [nit · fluency] lectures/qr_decomp.md — ## 一些代码: '前面的代码没问题'略显口语化，可考虑更正式的学术表达 → '前面的代码是可行的' 或 '上述代码运行良好'

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🔍 Diff Quality

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

Summary: The RNG modernization changes (adding rng = np.random.default_rng() and replacing np.random.* calls with rng.* calls) were correctly and completely mirrored in the same code cells and sections of the Chinese translation.

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

[Copilot]

Pull request overview

This automated translation-sync PR updates the Chinese qr_decomp lecture to align with upstream changes that migrate random-number generation from the legacy np.random.* API to NumPy’s Generator API.

Changes:

• Introduces a rng = np.random.default_rng() instance in lectures/qr_decomp.md.
• Replaces usages of np.random.random / np.random.multivariate_normal with rng.random / rng.multivariate_normal.
• Updates translation sync state metadata to the new upstream source SHA and tooling/version info.

Reviewed changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 1 comment.

File	Description
lectures/qr_decomp.md	Switches random draws to Generator (default_rng) and updates call sites accordingly.
.translate/state/qr_decomp.md.yml	Updates translation-sync bookkeeping (source SHA, synced date, mode, tool version).

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