[action-translation] resync: linear_algebra.md#126
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Pull request overview
This PR forward-resyncs the Chinese translation of lectures/linear_algebra.md to align with the upstream QuantEcon/lecture-python.myst source at commit a1cd90c5, restoring previously missing instructional content (notably the @ operator discussion/code cell) and updating several passages/links to match current source intent.
Changes:
- Added translation frontmatter metadata (title + heading map) and updated narrative text to match the latest source.
- Restored missing inner product content:
x @ yexample plus the accompanying explanation, and expanded norm examples. - Added a new translation sync state file recording the source SHA and resync metadata.
Reviewed changes
Copilot reviewed 2 out of 2 changed files in this pull request and generated 2 comments.
| File | Description |
|---|---|
| lectures/linear_algebra.md | Resynced lecture content with upstream, including restored @ operator section and updated phrasing/links; added translation frontmatter mapping. |
| .translate/state/linear_algebra.md.yml | Added resync metadata (source SHA, synced date, model, mode, etc.). |
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| $$ | ||
| y = \beta_1 a_1 + \cdots + \beta_k a_k | ||
| y = \beta_1 a_1 + \cdots \beta_k a_k |
| $$ | ||
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| 这一点可以通过反证法证明。如果存在这样两组不同的系数，那么: | ||
| 事实上，如果我们同时有$y = \gamma_1 a_1 + \cdots \gamma_k a_k$，那么 |
…anslation#116) Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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| Criterion | Score |
|---|---|
| Accuracy | 9/10 |
| Fluency | 9/10 |
| Terminology | 9/10 |
| Formatting | 8/10 |
| Overall | 8.9/10 |
Summary: This is a high-quality, accurate translation that faithfully preserves the mathematical content, structure, and technical terminology of the source document. Minor stylistic issues exist around emphasis markup consistency (single vs double asterisks), a couple of slightly expanded/reworded sentences in the overview section, and an unexplained added code line for figure size, but these do not impact comprehension or mathematical accuracy. Overall the translation reads fluently and uses correct, glossary-consistent terminology throughout the changed sections. Mathematical notation, LaTeX equations, and labels are preserved accurately throughout Technical terminology (线性无关, 特征值, 特征向量, 行列式, 张成空间, etc.) is applied consistently and matches standard Chinese mathematical usage Complex explanatory passages (e.g., existence/uniqueness of solutions, eigenvalue properties, Lagrangian derivation in the exercise solution) are translated clearly and accurately with correct mathematical meaning preserved Code blocks and comments are appropriately translated while preserving functional code
⚠️ Markdown Syntax Errors (CRITICAL)
- 🔴 Code cell language identifiers changed from 'python3' to 'ipython3' throughout (e.g., in the vector operations, span, matrices, eigenvalues sections) - this is a formatting change not present in source; while likely intentional per site convention, flagging for verification since source consistently uses 'python3'
Suggestions:
- Overview section: '我们将同时关注理论基础和实际计算' followed by a separate sentence about overlap with the numpy lecture splits the original single sentence 'In this lecture we will cover the basics of linear and matrix algebra, treating both theory and computation. We admit some overlap with [this lecture]...' into two paragraphs with added connective phrasing ('虽然...但这里我们将从更理论的角度来探讨线性代数') that isn't in the source — consider translating more literally to avoid introducing unstated emphasis on 'more theoretical approach'
- Matrix norm section: 'the norm on the left-hand side is a matrix norm' translated as '左边的范数是矩阵范数' — the asterisks around 矩阵范数/谱范数/压缩的 appear to be leftover markdown emphasis syntax not rendering as bold in the original English (which used bold); verify these render correctly since English source uses double-asterisk bold but translation uses single-asterisk in several spots (e.g., '压缩的', '谱范数', '矩阵范数', '正定的', '半正定的', '非负定的', '线性无关的', '线性相关的', '内积', '范数', '正交') — single asterisks produce italics not bold in Markdown, inconsistent with source emphasis intent
- Code comment 'plt.rcParams["figure.figsize"] = (11, 5) #设置默认图形大小' added extra setup not present in the English source imports block — this is an unexplained addition beyond the font-loading lines, should confirm it's an intentional site-wide convention
- Section 'More Rows than Columns': '在不失一般性的情况下' is a slightly awkward rendering of 'Without much loss of generality' — a more natural phrasing like '为不失一般性' or '在基本不失一般性的前提下' would read more fluently in academic Chinese
🔍 Diff Quality
| Check | Status |
|---|---|
| Scope Correct | ✅ |
| Position Correct | ✅ |
| Structure Preserved | ✅ |
| Heading-map Correct | ✅ |
| Overall | 10/10 |
Summary: The resync correctly restored missing paragraphs, code comments, and code-cell content to match the current source structure while preserving translation and adding a complete, accurate translation metadata block.
This review was generated automatically by action-translation review mode.
Forward Resync: linear_algebra.md
Source: QuantEcon/lecture-python.myst — lectures/linear_algebra.md
Source commit:
a1cd90cThis PR resyncs the translation to match the current source document.
Reason: Several substantive omissions/changes exist in the target: the 'Let's start with some imports' intro line and font-setup are altered (font config is i18n, acceptable), but the '@' operator preferred explanation paragraph ('The @ operator is preferred because it uses optimized BLAS libraries...') and the 'x @ y # Inner product...' code cell are missing from the target's inner product section. Also the determinant reference link is changed from Wikipedia to a Baidu Baike link (different URL target). The linear independence example explanation is reworded but seems to preserve meaning (I18N-level), however the missing @ operator code cell and explanatory paragraph constitute lost content requiring re-translation.
Changes
Whole-file resync applied. The entire document was resynced in a single pass.
Created by action-translation forward resync