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

[mmcky]

Automated Translation Sync

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

Source PR

#994 - [eig_circulant.md] Update np.random → Generator API

Files Updated

• ✏️ lectures/eig_circulant.md
• ✏️ .translate/state/eig_circulant.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: The translation of the 'Associated Permutation Matrix' section is accurate, fluent, and faithfully preserves the mathematical content, code, and formatting of the English source. No syntax errors were found, and terminology is consistent with the glossary and rest of the document. This section does not present any notable issues requiring correction. The 'Associated Permutation Matrix' section is translated accurately and completely, preserving all mathematical notation, code blocks, and equation references without loss of meaning. Full-width Chinese punctuation is consistently used throughout the changed section, complying with the style policy. Technical phrasing such as '每个特征向量也是 $C$ 的特征向量' and '关联的特征值' is natural, precise, and consistent with terminology used elsewhere in the document.

Suggestions:

• [minor · fluency] lectures/eig_circulant.md — ## 关联的置换矩阵 (heading translation): The section heading '## Associated Permutation Matrix' is translated as '## 关联的置换矩阵', which is accurate and consistent with the translation metadata mapping ('Associated Permutation Matrix': '关联的置换矩阵'). No issue found here; this is confirmed correct.
• [minor · fluency] lectures/eig_circulant.md — 接下来，我们进行计算以验证方程 {eq}eqn:circulant 中定义的循环矩阵 $C$ 可以写成: The phrase 'execute calculations to verify' is translated as '进行计算以验证', which is accurate and natural. This is a well-handled sentence with no issues.

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🔍 Diff Quality

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

Summary: The code cell change replacing np.random.random with the modern Generator-based rng.random API was correctly and identically applied to the target document in the same position and section.

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

[Copilot]

🟢 Ready to approve

The changes are small, consistent with existing lecture patterns, and limited to a straightforward RNG API update plus translation-sync metadata refresh.

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Pull request overview

This automated translation-sync PR updates the eig_circulant lecture’s example code to use NumPy’s Generator API (default_rng) instead of the legacy global np.random API, and refreshes the translation state metadata to match the new upstream source commit.

Changes:

• Updated the random-draw example in lectures/eig_circulant.md from np.random.random to rng = np.random.default_rng(); rng.random(...).
• Updated .translate/state/eig_circulant.md.yml to reflect the new source SHA, sync date, mode, and tool version.

File summaries

File	Description
lectures/eig_circulant.md	Switches a lecture code-cell to the NumPy Generator random API.
.translate/state/eig_circulant.md.yml	Updates translation-sync state to the latest upstream commit and tooling.

Review details

• Files reviewed: 2/2 changed files
• Comments generated: 0
• Review effort level: Lite

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[github-actions]

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