diff --git a/.translate/state/python_essentials.md.yml b/.translate/state/python_essentials.md.yml
index b763162..75fa88e 100644
--- a/.translate/state/python_essentials.md.yml
+++ b/.translate/state/python_essentials.md.yml
@@ -1,6 +1,6 @@
-source-sha: 6d0df81899e042268a0081b71af2cedc438613b5
-synced-at: "2026-03-20"
+source-sha: c5711217457a71e75710450b7b379fac9d05af1b
+synced-at: "2026-05-02"
 model: claude-sonnet-4-6
-mode: NEW
+mode: UPDATE
 section-count: 7
-tool-version: 0.13.0
+tool-version: 0.14.1
diff --git a/lectures/python_essentials.md b/lectures/python_essentials.md
index c0e54da..c8109ff 100644
--- a/lectures/python_essentials.md
+++ b/lectures/python_essentials.md
@@ -1074,10 +1074,11 @@ def linapprox(f, a, b, n, x):
 ```{code-cell} python3
 import numpy as np
 
+rng = np.random.default_rng()
 n = 100
 ϵ_values = []
 for i in range(n):
-    e = np.random.randn()
+    e = rng.standard_normal()
     ϵ_values.append(e)
 ```
 
@@ -1091,9 +1092,10 @@ for i in range(n):
 这是一种解法。
 
 ```{code-cell} python3
+rng = np.random.default_rng()
 n = 100
-ϵ_values = [np.random.randn() for i in range(n)]
+ϵ_values = [rng.standard_normal() for i in range(n)]
 ```
 
 ```{solution-end}
-```
\ No newline at end of file
+```