update

Author: AlexandreAndr

notebooks/Notebook_1/Notebook_1a_Overview_and_Data_Representation.ipynb

@@ -2417,7 +2417,7 @@
    "id": "e33efdc1",
    "metadata": {},
    "source": [
-    "### Visualizing Distance\n",
+    "#### Visualizing Distance\n",
     "\n",
     "Start concretely: two points $\\mathbf{a} = (1, 1)$ and $\\mathbf{b} = (3, 2)$, and the\n",
     "two ways of getting from one to the other. The L2 path is the direct diagonal. The L1\n",
@@ -2800,7 +2800,7 @@
    "id": "2733bb48",
    "metadata": {},
    "source": [
-    "### Visualizing the Dot Product\n",
+    "#### Visualizing the Dot Product\n",
     "\n",
     "The animation below fixes $\\mathbf{b}$ and rotates $\\mathbf{a}$ through a full\n",
     "circle. The left panel shows the two vectors, the angle $\\theta$ between them, and\n",

notebooks/Notebook_1/Notebook_1a_Overview_and_Data_Representation.py

@@ -740,7 +740,7 @@ def compute_sum(l):
 # :::
 
 # %% [markdown]
-# ### Visualizing Distance
+# #### Visualizing Distance
 #
 # Start concretely: two points $\mathbf{a} = (1, 1)$ and $\mathbf{b} = (3, 2)$, and the
 # two ways of getting from one to the other. The L2 path is the direct diagonal. The L1
@@ -986,7 +986,7 @@ def plot_distance_contour_gif(b=(0.0, 0.0), n_per_lap=24, seconds=12.0):
 print("a·c =", np.dot(a, c))
 
 # %% [markdown]
-# ### Visualizing the Dot Product
+# #### Visualizing the Dot Product
 #
 # The animation below fixes $\mathbf{b}$ and rotates $\mathbf{a}$ through a full
 # circle. The left panel shows the two vectors, the angle $\theta$ between them, and