From 01755deefe1da203863e8575f6f9156fb9aaf062 Mon Sep 17 00:00:00 2001
From: udlbook <110402648+udlbook@users.noreply.github.com>
Date: Thu, 27 Nov 2025 16:16:07 -0500
Subject: [PATCH] Created using Colab

---
 .../ShallowNN/LinearRegions_Answers.ipynb     | 34 +++++++++----------
 1 file changed, 17 insertions(+), 17 deletions(-)

diff --git a/notebooks/ShallowNN/LinearRegions_Answers.ipynb b/notebooks/ShallowNN/LinearRegions_Answers.ipynb
index 732cdba..f00e2b0 100644
--- a/notebooks/ShallowNN/LinearRegions_Answers.ipynb
+++ b/notebooks/ShallowNN/LinearRegions_Answers.ipynb
@@ -4,7 +4,7 @@
   "metadata": {
     "colab": {
       "provenance": [],
-      "authorship_tag": "ABX9TyNzwsksM8IfDPg9DEiV++cL",
+      "authorship_tag": "ABX9TyORO/RUktvUyRPd9NT1GOoz",
       "include_colab_link": true
     },
     "kernelspec": {
@@ -87,15 +87,10 @@
       "outputs": [],
       "source": [
         "def number_regions(Di, D):\n",
-        "  # TODO -- implement Zaslavsky's formula\n",
-        "  # Tou can use math.comb() https://www.w3schools.com/python/ref_math_comb.asp\n",
-        "  # Replace this code\n",
-        "  N = 1;\n",
-        "  # BEGIN_ANSWER\n",
+        "\n",
         "  N= 0\n",
         "  for j in range (Di+1):\n",
         "    N = N+  math.comb(D, j)\n",
-        "  # END_ANSWER\n",
         "\n",
         "  return N"
       ]
@@ -306,18 +301,14 @@
         "# First let's write a function that computes the number of parameters as a function of the input dimension and number of hidden units (assuming just one output)\n",
         "\n",
         "def number_parameters(D_i, D):\n",
-        "  # TODO -- replace this code with the proper calculation\n",
-        "  N = 1\n",
-        "  # BEGIN_ANSWER\n",
-        "  N = D_i * D +D +  D + 1\n",
-        "  # END_ANSWER\n",
+        "  N = D_i * D + D +  D + 1\n",
         "\n",
         "  return N ;"
       ],
       "metadata": {
         "id": "Pav1OsCnpm6P"
       },
-      "execution_count": 22,
+      "execution_count": 25,
       "outputs": []
     },
     {
@@ -332,9 +323,9 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "VbhDmZ1gwkQj",
-        "outputId": "76de7c87-699a-46ce-d3ff-265000a0ff6c"
+        "outputId": "d03fe328-1c27-43bf-95f4-5dc01e5e5656"
       },
-      "execution_count": 23,
+      "execution_count": 26,
       "outputs": [
         {
           "output_type": "stream",
@@ -382,9 +373,9 @@
           "height": 541
         },
         "id": "AH4nA50Au8-a",
-        "outputId": "533d25e5-68fb-4cad-f605-e6e98f06d79b"
+        "outputId": "55555d33-f75e-45ef-e197-d48a3c9066d9"
       },
-      "execution_count": 24,
+      "execution_count": 27,
       "outputs": [
         {
           "output_type": "stream",
@@ -408,6 +399,15 @@
           "metadata": {}
         }
       ]
+    },
+    {
+      "cell_type": "code",
+      "source": [],
+      "metadata": {
+        "id": "daA1dAPsLD0h"
+      },
+      "execution_count": null,
+      "outputs": []
     }
   ]
 }
\ No newline at end of file