🌐 [translation-sync] Revise JAX intro lecture and add autodiff lecture (#87)

* Update translation: lectures/autodiff.md

* Update translation: .translate/state/autodiff.md.yml

* Update translation: lectures/jax_intro.md

* Update translation: .translate/state/jax_intro.md.yml

* Update translation: lectures/numpy_vs_numba_vs_jax.md

* Update translation: .translate/state/numpy_vs_numba_vs_jax.md.yml

* Update translation: lectures/_toc.yml

Author: mmcky

.translate/state/autodiff.md.yml

@@ -0,0 +1,6 @@
+source-sha: 05ce95691fd97e48da39dd6d58fe032c03e8813d
+synced-at: "2026-04-08"
+model: claude-sonnet-4-6
+mode: NEW
+section-count: 5
+tool-version: 0.13.1

.translate/state/jax_intro.md.yml

@@ -1,6 +1,6 @@
-source-sha: c4c03c80c1eb4318f627d869707d242d19c8cf09
-synced-at: "2026-03-20"
-model: unknown
-mode: RESYNC
-section-count: 6
-tool-version: 0.13.0
+source-sha: 05ce95691fd97e48da39dd6d58fe032c03e8813d
+synced-at: "2026-04-08"
+model: claude-sonnet-4-6
+mode: UPDATE
+section-count: 7
+tool-version: 0.13.1

.translate/state/numpy_vs_numba_vs_jax.md.yml

@@ -1,6 +1,6 @@
-source-sha: c4c03c80c1eb4318f627d869707d242d19c8cf09
-synced-at: "2026-03-20"
-model: unknown
-mode: RESYNC
-section-count: 2
-tool-version: 0.13.0
+source-sha: 05ce95691fd97e48da39dd6d58fe032c03e8813d
+synced-at: "2026-04-08"
+model: claude-sonnet-4-6
+mode: UPDATE
+section-count: 3
+tool-version: 0.13.1

lectures/_toc.yml

@@ -25,6 +25,7 @@ parts:
   - file: numba
   - file: jax_intro
   - file: numpy_vs_numba_vs_jax
+  - file: autodiff
 - caption: Working with Data
   numbered: true
   chapters: