commenting the code

Encoding_decoding.ipynb

@@ -213,7 +213,7 @@
     "    diff       (510, 638): difference of min and max of the 4 neighbors\n",
     "    boundary   (2300,): the boundary values after subtracting the very first pixel value\n",
     "    predict    (325380,): the list of predicted values\n",
-    "    bins       (num_bins)\n",
+    "    bins       (num_bins - 1,): a list of threshold to cut the bins\n",
     "    A          (3 X 3): system of equation\n",
     "    \n",
     "    \"\"\"\n",
@@ -306,6 +306,9 @@
    "outputs": [],
    "source": [
     "def encoder(error, list_dic, diff, bound, bins):\n",
+    "    \"\"\"\n",
+    "    This function \n",
+    "    \"\"\"\n",
     "    # copy the error matrix (including the boundary)\n",
     "    encoded = np.copy(error).astype(int).astype(str).astype(object)\n",
     "    #diff = np.reshape(diff,(510,638))\n",