🌐 [translation-sync] [theil_2.md] Update np.random → Generator API

[mmcky]

Automated Translation Sync

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

Source PR

#1005 - [theil_2.md] Update np.random → Generator API

Files Updated

• ✏️ lectures/theil_2.md
• ✏️ .translate/state/theil_2.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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[github-actions]

✅ Translation Quality Review

Verdict: PASS | Model: claude-sonnet-5 | Date: 2026-07-31
Routing: editor — 1 minor finding(s) in gating categories (accuracy/terminology/syntax/diff-check/other)

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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: 该修改部分（“有稳健性：预防性储蓄”）翻译质量很高，准确传达了原文关于稳健性下预防性储蓄机制的技术内容，术语使用与术语表一致，数学公式和代码块格式完整无误，仅有个别措辞可进一步打磨但不影响理解。 “有稳健性：预防性储蓄”部分的专业术语（如“确定性等价”“最坏情形”“预防性储蓄”）翻译准确且与术语表一致 数学公式与代码块完整保留，交叉引用标签未被破坏 长句的拆分和逻辑关系（如“只有期望算子改变”）清晰自然，符合中文学术表达习惯

Suggestions:

• [minor · accuracy] lectures/theil_2.md — ### 有稳健性：预防性储蓄: 英文 'follows from the robust permanent income formula with the distorted persistence' 被译为“由带有扭曲持续性的稳健永久收入公式得出”，意思基本保留，但“扭曲持续性”对应 'distorted persistence' 略显生硬，可考虑更明确地表达为“扭曲后的持续性参数”以增强可读性。 → 创新尺度 $\tilde{\nu}$ 由带有扭曲后持续性参数的稳健永久收入公式得出；
• [nit · fluency] lectures/theil_2.md — ### 有稳健性：预防性储蓄: “消费规则取确定性等价形式”一句稍显简略，英文为 'The consumption rule takes the certainty-equivalent form'，译文准确但可以增加“……的”结构使句子更顺畅，此为风格性建议，非必须修改。 → 消费规则采取确定性等价的形式

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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 mirrors the source's RNG modernization (np.random.seed/randn to default_rng/standard_normal) and blank-line removals before headings, with no unnecessary changes.

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

[Copilot]

Pull request overview

This PR syncs the zh-cn translation of theil_2.md with the upstream source update that modernizes NumPy randomness usage, moving from legacy global np.random state to the Generator API for reproducible simulation.

Changes:

• Replaced np.random.seed(...) / np.random.randn(...) with rng = np.random.default_rng(...) / rng.standard_normal(...) in the simulation cell.
• Removed several whitespace-only blank lines in the markdown for cleaner formatting.
• Updated translation sync state metadata (source-sha, sync date, model, tool version, mode).

Reviewed changes

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

File	Description
lectures/theil_2.md	Updates the stochastic simulation example to use NumPy’s Generator API and cleans up stray whitespace-only lines.
.translate/state/theil_2.md.yml	Refreshes translation-sync metadata to reflect the new upstream source commit and tooling.

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[github-actions]

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