diff --git a/P2/HazinedarSafak_3108590_BDA II_P_2.ipynb b/P2/HazinedarSafak_3108590_BDA_II_P_2.ipynb
similarity index 99%
rename from P2/HazinedarSafak_3108590_BDA II_P_2.ipynb
rename to P2/HazinedarSafak_3108590_BDA_II_P_2.ipynb
index bfa935a..2b91bad 100644
--- a/P2/HazinedarSafak_3108590_BDA II_P_2.ipynb	
+++ b/P2/HazinedarSafak_3108590_BDA_II_P_2.ipynb
@@ -27,8 +27,8 @@
    "id": "29c253cc-3060-4da3-bc9b-1aa5f5874db1",
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-12-15T13:56:24.782957150Z",
-     "start_time": "2025-12-15T13:56:24.757679243Z"
+     "end_time": "2025-12-15T14:01:01.846362881Z",
+     "start_time": "2025-12-15T14:01:01.832960844Z"
     }
    },
    "source": [
@@ -42,7 +42,7 @@
     "             r\"./Sherlock_card.txt\"]"
    ],
    "outputs": [],
-   "execution_count": 1
+   "execution_count": 8
   },
   {
    "cell_type": "markdown",
@@ -57,8 +57,8 @@
    "id": "dee15bba-e43b-4e4b-b1a2-d798411820cb",
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-12-15T13:56:24.879680892Z",
-     "start_time": "2025-12-15T13:56:24.784572818Z"
+     "end_time": "2025-12-15T14:01:01.904231100Z",
+     "start_time": "2025-12-15T14:01:01.872546121Z"
     }
    },
    "source": [
@@ -66,7 +66,7 @@
     "vectorizer = CountVectorizer(input=\"filename\")"
    ],
    "outputs": [],
-   "execution_count": 2
+   "execution_count": 9
   },
   {
    "cell_type": "markdown",
@@ -84,8 +84,8 @@
    "id": "f94a5742-9b26-40ff-a093-b5f0f0bce12f",
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-12-15T13:56:25.090650734Z",
-     "start_time": "2025-12-15T13:56:24.882138584Z"
+     "end_time": "2025-12-15T14:01:02.160184470Z",
+     "start_time": "2025-12-15T14:01:01.928765726Z"
     }
    },
    "source": [
@@ -9017,7 +9017,7 @@
      ]
     }
    ],
-   "execution_count": 3
+   "execution_count": 10
   },
   {
    "cell_type": "markdown",
@@ -9028,17 +9028,23 @@
     "Es werden über alle Dokumente hinweg alle einzigartigen Features, in diesem Fall die unterschiedlichen Wörter gezählt. Dies gibt uns die `bag_of_words`.\n",
     "\n",
     "Der Aufbau der Matrix ist wie folgt\n",
-    "```\n",
-    "            -> axis 1\n",
-    "V - axis 0 - V\n",
-    "\n",
-    "|      | Wort1 | Wort2 | Wort3 | ... |\n",
-    "|------|-------|-------|-------|-----|\n",
-    "| Dok1 |       |       |       |     |\n",
-    "| Dok2 |       |       |       |     |\n",
-    "| ...  |       |       |       |     |\n",
-    "```\n",
-    "\n",
+    "$$\n",
+    "\\begin{array}{cc}\n",
+    "  % Obere Zeile: Leerecke links, Pfeil für Axis 1 rechts\n",
+    "  & \\xrightarrow{\\hspace{1cm} \\text{axis 1 (Wörter)} \\hspace{1cm}} \\\\\n",
+    "  % Untere Zeile: Pfeil für Axis 0 links, Matrix rechts\n",
+    "  \\begin{array}{c} \\text{axis 0} \\\\ \\text{(Docs)} \\\\ \\downarrow \\end{array} &\n",
+    "  \\begin{array}{|c|cccc|}\n",
+    "    \\hline\n",
+    "     & \\text{Wort}_1 & \\text{Wort}_2 & \\text{Wort}_3 & \\dots \\\\\n",
+    "    \\hline\n",
+    "    \\text{Dok}_1 & n_{1,1} & n_{1,2} & n_{1,3} & \\dots \\\\\n",
+    "    \\text{Dok}_2 & n_{2,1} & n_{2,2} & n_{2,3} & \\dots \\\\\n",
+    "    \\vdots & \\vdots & \\vdots & \\vdots & \\ddots \\\\\n",
+    "    \\hline\n",
+    "  \\end{array}\n",
+    "\\end{array}\n",
+    "$$\n",
     "#### Gesamtzahl der (einzigartigen) Wörter\n",
     "Die Anzahl der Spalten gibt uns die Anzahl der Wörter über alle Texte hinweg, da jede Spalte ein Wort darstellt, d.h. ein Wort wird nicht doppelt gelistet werden.\n",
     "So erhalten wir eine Anzahl von **8879** Wörtern, die in den Texten vorkommen.\n",
@@ -9094,8 +9100,8 @@
    "id": "a43e2e80",
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-12-15T13:56:25.132343345Z",
-     "start_time": "2025-12-15T13:56:25.106818886Z"
+     "end_time": "2025-12-15T14:01:02.198425286Z",
+     "start_time": "2025-12-15T14:01:02.167549542Z"
     }
    },
    "source": [
@@ -9123,7 +9129,7 @@
      ]
     }
    ],
-   "execution_count": 4
+   "execution_count": 11
   },
   {
    "cell_type": "markdown",
@@ -9156,8 +9162,8 @@
    "id": "b0de993a-7aad-4126-938d-86bc4bd26d8e",
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-12-15T13:56:26.904835204Z",
-     "start_time": "2025-12-15T13:56:25.135153350Z"
+     "end_time": "2025-12-15T14:01:04.058166213Z",
+     "start_time": "2025-12-15T14:01:02.203172264Z"
     }
    },
    "source": [
@@ -9223,7 +9229,7 @@
      ]
     }
    ],
-   "execution_count": 5
+   "execution_count": 12
   },
   {
    "metadata": {},
@@ -9317,8 +9323,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-12-15T13:56:26.992285254Z",
-     "start_time": "2025-12-15T13:56:26.965360172Z"
+     "end_time": "2025-12-15T14:01:04.103470898Z",
+     "start_time": "2025-12-15T14:01:04.073400774Z"
     }
    },
    "cell_type": "code",
@@ -9399,7 +9405,7 @@
      ]
     }
    ],
-   "execution_count": 6
+   "execution_count": 13
   },
   {
    "cell_type": "markdown",
@@ -9414,8 +9420,8 @@
    "id": "1cff3622-5a62-49bb-903f-4f98d9b044fb",
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-12-15T13:56:27.029415899Z",
-     "start_time": "2025-12-15T13:56:26.995416559Z"
+     "end_time": "2025-12-15T14:01:04.139311264Z",
+     "start_time": "2025-12-15T14:01:04.107288791Z"
     }
    },
    "source": [
@@ -9461,7 +9467,7 @@
      ]
     }
    ],
-   "execution_count": 7
+   "execution_count": 14
   },
   {
    "metadata": {},