[action-translation] resync: qr_decomp.md

[mmcky]

Forward Resync: qr_decomp.md

Source: QuantEcon/lecture-python.myst — lectures/qr_decomp.md
Source commit: ffc4eaf
This PR resyncs the translation to match the current source document.

Reason: The TARGET omits the '{todo}' directive block present in SOURCE (note about migrating to sphinx-proof for algorithms), and also drops the commented-out alternative matrix examples in the code cell. These are minor content omissions from SOURCE not reproduced in TARGET.

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 lectures/qr_decomp.md to match the current upstream source (QuantEcon/lecture-python.myst at ffc4eaf), restoring previously omitted content and metadata.

Changes:

• Add translation: frontmatter metadata (title + heading map) for qr_decomp.md.
• Restore upstream-expected content: the {todo} directive block and commented-out alternative matrix examples.
• Minor formatting normalization at the end of the final code cell.

Reviewed changes

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

File	Description
lectures/qr_decomp.md	Resyncs translated lecture content/metadata to match upstream, including restored {todo} block and example comments.
.translate/state/qr_decomp.md.yml	Records resync state (source SHA, date, tool/model metadata).

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[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	10/10
Overall	9.2/10

Summary: This is a high-quality, comprehensive resynced translation that accurately preserves mathematical content, code, and formatting while maintaining consistent terminology throughout. Minor stylistic improvements could be made to a few phrases for better fluency and closer fidelity to nuances in the source (e.g., the educational rationale for writing custom code, and slight softening of certainty in the PCA section), but these are minor issues that do not detract significantly from overall quality. Mathematical notation, LaTeX equations, and code blocks are all preserved accurately and completely Technical terminology (QR分解, 格拉姆-施密特正交化, 特征值, 协方差, 正交投影等) is consistent and matches standard usage The YAML frontmatter translation metadata is correctly structured and does not interfere with document compilation Code comments are naturally and accurately translated into Chinese

Suggestions:

• 格拉姆-施密特算法过程迭代这个过程: The phrase '格拉姆-施密特算法过程迭代这个过程' is slightly redundant/awkward, combining '算法' and '过程' twice; consider '格拉姆-施密特过程持续迭代' or '格拉姆-施密特算法继续迭代' for smoother reading
• '我们将编写自己的Python代码来完成这项工作' for 'Because doing so is so educational, we'll write our own Python code to do the job' — the translation omits the educational rationale conveyed by 'so educational'; consider '因为这样做很有教育意义，我们将编写自己的Python代码来完成这项工作' to preserve the original reasoning
• '我们应该会发现 $\Lambda = \hat \Lambda$ 且 $P = Q \tilde P$' for 'It will turn out that' slightly softens the certainty of the original (which states a definite outcome, not merely an expectation); consider '结果将是 $\Lambda = \hat \Lambda$ 且 $P = Q \tilde P$' for closer fidelity

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🔍 Diff Quality

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

Summary: The resync correctly adds the missing translation frontmatter, restores the correct paragraph order, restores omitted code comments and the todo block, aligning the target fully with the source structure.

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