diff --git a/.translate/state/functions.md.yml b/.translate/state/functions.md.yml
index a7e3565..9384750 100644
--- a/.translate/state/functions.md.yml
+++ b/.translate/state/functions.md.yml
@@ -1,6 +1,6 @@
-source-sha: aacff3815993e8bea8db7b63df72a0a038e220c1
-synced-at: "2026-08-05"
+source-sha: cadd911316d30a04f4bd518736088932b1c88790
+synced-at: "2026-11-02"
 model: claude-sonnet-5
 mode: UPDATE
 section-count: 7
-tool-version: 0.25.0
+tool-version: 0.30.0
diff --git a/.translate/state/python_by_example.md.yml b/.translate/state/python_by_example.md.yml
index 4f87853..7da3057 100644
--- a/.translate/state/python_by_example.md.yml
+++ b/.translate/state/python_by_example.md.yml
@@ -1,6 +1,6 @@
-source-sha: d35eb831da23a763f43d403e96f20d43529cae53
-synced-at: "2026-08-12"
+source-sha: cadd911316d30a04f4bd518736088932b1c88790
+synced-at: "2026-11-02"
 model: claude-sonnet-5
 mode: UPDATE
 section-count: 6
-tool-version: 0.25.0
+tool-version: 0.30.0
diff --git a/lectures/functions.md b/lectures/functions.md
index de8d0c8..cb3b87e 100644
--- a/lectures/functions.md
+++ b/lectures/functions.md
@@ -681,7 +681,7 @@ print([x(i) for i in range(10)])
 :label: func_ex5
 ```
 
-使用递归重写[练习 1](factorial_exercise) 中的函数 `factorial()`。
+使用递归重写来自 [练习 1](factorial_exercise) 的函数 `factorial()`。
 
 ```{exercise-end}
 ```
diff --git a/lectures/python_by_example.md b/lectures/python_by_example.md
index b7d61e9..a484161 100644
--- a/lectures/python_by_example.md
+++ b/lectures/python_by_example.md
@@ -515,7 +515,7 @@ plt.show()
 :class: dropdown
 
 * 如果在调用 `show()` 之前多次调用 `plot()` 函数，您生成的所有线条都会出现在同一张图上。
-* 对于图例，注意假设 `var = 42`，表达式 `f'foo{var}'` 的求值结果为 `'foo42'`。
+* 对于图例，注意如果 `var = 42`，表达式 `f'foo{var}'` 的求值结果为 `'foo42'`。
 ```
 
 ```{exercise-end}