diff --git a/posts/2024-Jan-2-logo.ipynb b/posts/2024-Jan-2-logo.ipynb
index 61f3f98..301becf 100644
--- a/posts/2024-Jan-2-logo.ipynb
+++ b/posts/2024-Jan-2-logo.ipynb
@@ -34,20 +34,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 2,
    "id": "2898cada",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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xhpo3b66JEyf65N94+fLl6tChgyZNmlSimYnekp2draeeekodOnTQ6tWr3XbclJQUPf3002rVqpV++eUXtx0XFcf48eOd9lm1apV2797thWqKtmzZMh08eNBpv3vuuccL1cAVnCfM4TwB+AcCO1RYMTExpvqtXbtWGRkZHq4GvnLgwAFdfvnlWrJkia9LqRCSk5N9XYI2b96s9u3ba+nSpb4uxS+sXr1al112mVasWOGxMT755BNdeeWVSkhI8NgYkn98f2VnZ+vJJ5/UgAEDvB5Km5GSkqIBAwbo+eefV3Z2tkfG2L9/v66++mq9+eabHjk+yq+hQ4c6vXewYRiaNm2alypyzMz4LVq00NVXX+2FauAKzhPOcZ4A/AeBHSosszf8T01N1eLFiz1cDXzh5MmT6tWrl3bt2uXrUuBlqamp6t+/vz7//HNfl+JTCxcuVM+ePXXq1CmPj/X777+rd+/efvHHkjcsWrRIvXv39qs/xlJSUtSjRw+vvEGRlZWlf/zjH5owYYLHx0L5ERoaaur+abNnz/bZrPQjR45o0aJFTvsxuw7OcJ7gPAE4Q2CHCqtBgwYKDDS3UPLTTz/t19PW4TrDMDRixAifX1YD38nKytKIESP022+/+boUn1i2bJlGjBjh1T96N27cqLvvvttr4/namjVrNHLkSK8u3FMUm82mm266yeuXID3zzDN65plnvDomyraxY8c6vUn+yZMnffaGy4wZM5zOOgoNDdXtt9/upYpQlnGe4DwBFMdcWgGUQ6GhoWrdurU2b97stO+2bdv00EMP6ZVXXvF8YfCKGTNm6LvvvnNpn9q1a6tXr15q166dGjdurEaNGik6OloREREKDw9XWlqakpOTlZSUpKSkJP3111/asmWLtm7dqi1btujAgQN+8QuZv6tUqZI6deqkNm3aqHnz5mrYsKGqV6+uqlWrKiwsTKGhoUpJSVFiYqKSkpIUHx+vX3/9Vb/++qvWrl2r06dPmx4rLS1NAwcO1LZt2xQdHe3Bz8q/bNq0SYMGDTK1Gl7lypXVqFEj1apVSxEREUpLS9OJEyd0/Phx7dmzx+Xv6fnz56tfv3669dZbS1p+qQQEBKhly5bq2LGjmjdvrubNm6tWrVqqXr26oqOjFRoaKovFosTERCUmJurMmTP6448/tH79eq1fv16bNm1yabyFCxeqc+fOeuCBBzz0GZnz5JNPmpoVJOX+rGvevLni4uIUEhKic+fO6ciRI9qxY0eJVgecMGGC6tevT4ABUxo1aqRevXpp2bJlxfZ79913NXz4cC9Vlctms2n69OlO+w0dOlRxcXFeqAiewHnCOc4TgJf4csULwNcefPBBl1Y2evTRR42cnBxfl+1WZj5vb/LGqpoZGRlGnTp1TH3uAQEBxpAhQ4z169eX+nM7duyYMX36dGPAgAFGeHh4obHOnDlT6jHMrFq3f//+Uo9TUlar1eHXuFu3bsZLL71kbNu2zbDZbCU+fnp6uvHRRx+5vKLZ3Xff7cbP8jx/XCX2q6++Mpo0aVJsnyuvvNJ46623jN27dxc73pEjR4z33nvPuPzyy136eteqVcs4d+6c2z5vu2effbbI8e655x7jyy+/NJKTk0s1xo4dO4x//etfRqVKlUx/vuHh4caePXvc9FkWZGb8X375xeH/vfyPyy67zHj33XeN+Pj4IsfKyckxfvnlF+ORRx4xKleu7NK/eUhIiLFlyxa3fu6sEuv6KrHFMfPv6C1ffvml01osFouxa9cur9VkGIaxZMkSU1+nH3/80at1uVN5XyWW80TFOk8AZR2BHSq0tWvXunQisZ+sVq1a5evS3caffkE3DO8EHPPnzzf1edesWdNjv3SnpaUZ8+fPNzp37pw3XkUL7Jo2bWq8/PLLxpEjRzwy1hdffGHUqFHD1L+1xWIxfv/9d7fX4I+BXdOmTYvcdtVVVxk///xzicb+8MMPjerVq5v+WTplyhS3fd52+f8QCwoKMm655Rbj22+/9cgbLadOnTJuueUW05/voEGD3F6DYZj7Gd6qVasitzVu3NhYvHixy+OmpKQYTz75pBEcHGz6a9C6dWsjLS3NbZ87gV35Deyys7ONunXrOq3noYce8lpNhmEYN954o6n/b2VZRQrsOE+U//MEUNZxDztUaFdccYVat27t0j6//fabunbtqs6dO+v9999XYmKiZ4qDx8ybN89pnypVquiXX37RlVde6ZEaQkNDNWzYMK1bt07r1q3TsGHDFBBQMX4kX3HFFVq0aJF27NihBx54QDVr1vTIOAMGDNC2bdt03XXXOe1rGIaeffZZj9ThbxwtshIUFKTXXntNq1evVqdOnUp03BEjRujHH39U7dq1TfV/8803PbL6XGRkpB5//HEdPHhQH330kXr27OmR/1uVKlXSRx99pE8//VRhYWFO+3/++ef6448/3F6HGdu2bXPYPmzYMG3atEnXX3+9y8cMDw/Xc889pzVr1phexOmPP/7Q5MmTXR4LFY/VajV1v0tvLj5x9OhRFpsoJzhPFMZ5AvBPFeOvQ6AYjz76aIn2++WXX3TnnXeqWrVq6tmzp1566SX99ttvysnJcXOFcCebzaYffvjBab9p06aZ/uWitDp37qz58+dXiHuoLVmyRGvXrlXfvn2d3lTcHSpVqqQvv/xSffr0cdr3s88+019//eXxmvxNWFiYlixZovvuu6/U/yaNGzfWqlWrFBMT47TvX3/9peXLl5dqvAtdf/312r9/vyZNmuSxIPhCgwYN0tdff62goKBi+xmGoddff90rNZlxzz336OOPP1ZkZGSpjtOxY0etWbNGDRo0MNX/xRdfVHx8fKnGRMVw5513Ov1/dfLkSX322Wdeqef99993+iZDWFiYbrvtNq/Ug5LhPGEe5wnA9wjsUOGNGDGixDNKpNyVJpcvX66HH35YHTp0UExMjK6++mo98MADmjt3rnbv3s1CA37k4MGDOnPmTLF9GjRooBtvvNE7BVUwvXr18vqYQUFBmj9/vurVq1dsP5vNpjlz5nipKv9gtVr1+eef69prr3XbMRs3bmx6tuLChQvdNq4kXXrppapSpYpbj2lGjx499OKLLzrtt2DBAqWlpXmhouL1799fU6dOdVtoXq9ePX3zzTemgtrU1FT95z//ccu4KN9q1KihgQMHOu03bdo0j9dis9n0/vvvO+03fPhwxcbGerwelBznCXM4TwD+gcAOFZ7FYtHs2bMVERHhluOlpKToxx9/1KuvvqoRI0aoadOmiouLU48ePfTYY4/p008/5V0jH9q7d6/TPjfccINXZn/Be6Kjo/XGG2847Wfmcuny5LnnnlPv3r3dftzx48erbdu2Tvt98803bh/bV/7xj3+offv2xfZJTk7WkiVLvFSRY/Xq1dOHH37o9p9xzZo1MxVoSNKcOXN0/Phxt46P8mn8+PFO+6xcuVK7d+/2aB3ffvutDhw44LQfl8OiOJwnOE8AriKwA5R7Avnwww9ltVo9cvykpCStWLFCU6ZM0ZAhQ1S3bl3VqVNHI0aM0AcffKBjx455ZFwU5mx2nSRddNFFXqgE3ta/f39dcsklxfb5448/Ksz/x/bt2+vhhx/2yLGtVqupP1yPHj1qKkQvCwICAvTvf//baT93XwbsqnfeeUdRUVEeOfbgwYM1aNAgp/0yMjL09ttve6QGlC9dunRRy5Ytnfbz9Cy7d99912mftm3bqnPnzh6tA2Ub5wnOE4CrCOyAv914442aM2eO0/tLuMvhw4c1d+5cjRw5UrVr11aXLl309ttvs4iFh2VkZDjt467ZlvA/I0eOdNpnxYoVXqjE91544QWPvUkh5d6oOjAw0Gm/9evXe6wGb+vbt6/TS62+//57L1VT2LXXXmvqfo6lMWXKFFP/7hXt8nOU3NixY5328eTiEyw2AXfiPMF5AnAFgR2Qz80336zvvvtONWrU8Oq4NptNq1ev1r333qtatWrpjjvu0I4dO7xaQ0Vh5t4Zhw8f9kIl8AUz99DbsGGDFyrxrY4dO6p79+4eHaNKlSq65pprnPbbvn27R+vwpsDAQHXr1q3YPrt371ZycrKXKiro6aef9vgYjRs31i233OK03/79+/Xzzz97vB6UfSNHjnT6RponF5+YMWOG08UmIiIidOutt3pkfJQvnCc4TwCuILADLtClSxdt3bpVw4YN88n4aWlpmjFjhlq1aqVbb721Qq5a6UlmbjS8dOlSL1QCX2jRooXCw8OL7bN161YvVeM7Y8aM8co4zi5BllTu3py47LLLnPb5448/vFBJQa1atdLVV1/tlbHGjRtnqt8XX3zh2UJQLkRHR5v6494Tl8XabDZNnz7dab/hw4dXiJXe4R6cJzhPAGYR2AEOVKlSRfPnz9eqVat8dj8Sm82mjz76SC1atNArr7zCSrNuUrNmTad9fvvtN0K7cspisah+/frF9ilPM74csVgsGjBggFfGatOmjdM+R44c8UIl3tOgQQOnfXzxPXbbbbd5bazOnTurSZMmTvutXLnSC9WgPPDV4hMsNgFP4DzBeQIwi8AOKEaXLl20bt06rVixQgMGDDB1vwV3S0lJ0YMPPqjrr79ep06d8vr45U39+vVVu3Ztp/1Gjx6tbdu2eaEieJuzWRDHjh0r1wF5q1atvHbZf6tWrZz2KW+rwJmZZeOLkLJ///5eHc9MKLxhwwafXfaFsuWSSy4x9Qaqu2fZmVls4pJLLlHHjh3dOi7KN84TuThPAM4R2AEmdOvWTV988YUOHTqkl156SZ07d3b7UufOLF26VFdeeaUOHjzo1XHLIzP37jp27JiuvvpqzZgxQzabzQtVwVtCQkKK3Z6dna2EhAQvVeN97dq189pYcXFxTvucPn3aC5V4j7PvL0leX4m4Zs2aatGihVfH7NGjh9M+OTk5+v33371QDcoDM7PsZs2a5bbFJ1hsAp7CeSIX5wnAOe9PFwLKsJo1a+rBBx/Ugw8+qGPHjum7777T8uXLtXr1alOXTJTWzp07dc0112jdunWqVauWx8crr4YPH25q5akzZ87ojjvu0OTJkzV+/HjdcsstqlatmhcqhM1m044dO7Rx40bt3r1be/bs0eHDh5WQkKCEhASlpqYqMzNTmZmZHpkNl5CQoKpVq7r9uP7Am7+Qm5lFYGblZk9ITEzUr7/+qj///FN79uzR/v37deLECZ08eVJJSUnKyMhQZmam05vNl4S3A+HLL7/cq+NJUqdOnWSxWJz+//zjjz+8ds8klG1Dhw7Vv/71r2KvNkhISNBnn32mm266qdTjmVlsIjIyUiNGjCj1WPBPnCc8i/ME4ByBHVBCNWrU0G233ZZ3v4fjx4/rl19+0W+//aYNGzZo48aNHnl37NChQ+rbt6/WrVun0NBQtx+/Iujbt68uvfRSbdy40VT/3bt361//+pceeughde3aVf369VPv3r29/k5keXf06FF99dVX+vrrr7VmzRqfXgKRlpbms7E9rU6dOl4bKyoqymmf9PR0L1RyfjXur7/+Wt9884127Njhs0ufvf39dfHFF3t1PCl3dmXdunV16NChYvtx6wGYFRoaqtGjR+ull14qtt+0adNKHdiZXWzi5ptvNvVzDmUD5wnv4jwBOEdgB7hJ9erV1b9//wL3fzhy5Ig2bNigDRs2aN26dfr555/dEkJs3rxZDz/8sP73v/+V+lgV1aRJk3Tddde59ItYTk6Ovv/+e33//feSckPbq6++WldeeaUuv/xytWvXTkFBQZ4qudxasWKF/ve//2nRokUeeZe6JLwVIvlCpUqVvDZWWFiY0z45OTkereHMmTN66623NH36dL+5pYC3v7+aNm3q1fHsmjVr5vQPsfj4eC9Vg/Jg7Nixevnll4s9d9sXnzBzQ/uisNhExcJ5gvME4K8I7AAPqlWrlmrVqqUbbrhBUu4fpuvXr9eSJUv0ySefaMeOHSU+9ltvvaXbbruNGx2XUO/evfXkk0/queeeK/Exjh07poULF2rhwoWSct/979Chg6666ipdffXVuuaaaxQREeGuksudTZs26YEHHtCqVat8XUohWVlZvi7BYyrKzNysrCy99NJLmjJlipKSknxdTgHe/v5ytjKyL8c9evSo5wtBudGoUSP16tVLy5YtK7bftGnT9OKLL5Z4HDOLV7Rv317t27cv8RjwPc4T53GeAPwTi04AXmS1WnX55Zfr2Wef1fbt27Vu3TrdfPPNslqtLh/LMAw99NBDHqiy4njmmWc0fPhwtx0vPT1da9as0X//+19df/31qlSpkrp376433nhDhw8fdts4ZZ3NZtPEiRPVsWNHvwzrJJXrVWJL8vOmrNm6dasuu+wyPfHEE373R5jk/e8vX92P0cy43r6xOso+Ty8+cfToUX399ddO+zG7rmzjPFEQ5wnAPxHYAT7UuXNnzZ07V9u2bdN1113n8v5r1qzRr7/+6oHKKgaLxaK5c+fq0Ucf9ciqv5mZmVq5cqXuu+8+1a1bV7169dLChQs9fgmgP0tJSdGNN96o//znP35z+SvKlyVLluiKK67Qli1bfF2K36hcubJPxq1SpYrTPufOnfNCJShP+vbtq7p16xbbx774REmYWWwiKipKN998c4mOD9/jPFEY5wnAPxHYAX6gWbNmWrJkid5++22X74H27rvveqiqiiEgIECTJ0/WypUr1bJlS4+NYxiGvvvuOw0bNkxNmzbVrFmzZLPZPDaeP8rMzNSAAQNMzVwASmLp0qUaMGAAv9xfwFeXQZsZtzzfLxKeYbVadffddzvtV5Lfj8wuNjFixAhFRka6fHz4HucJxzhPAP6Je9gBfmTcuHGqUaOGhgwZYjrM+eqrr5STk1MhLnPzpC5dumjLli2aO3euXnjhBf3xxx8eG2vfvn0aPXq0/ve//2nmzJlq27atx8byJ3fffXfegh2lERcXp6pVq6pKlSqKjIxUVFSUgoKCFBgYaOr/wdKlS3X8+PFS1wH/sm3bNg0ZMqTUMzeDg4NVtWpVVa9eXdHR0YqMjFR4eLgCAwMVGBjodDbusWPHnN5fy9uCg4N9Mm5ISIjTPvwhhpK488479cwzzxR7n69Vq1Zp165dLt1M3+xiE2YCQ/gfzhNF4zwB+CcCO8DPDBw4UJMnT9Yjjzxiqv/Jkye1adMmXXbZZR6urPyzWq267bbbdNttt+nHH3/UnDlz9Pnnn+vkyZMeGW/jxo3q0KGDpk6dqjFjxnhkDH+xcOFCzZ4926V9rFar2rdvry5duujSSy9Vq1at1KBBg1LPaujatSuBXTmTlZWlW2+9VSkpKS7tV61aNXXv3l2dOnXSJZdcosaNG6t27dqlukR+1apVfveHmM1mU0CA9y+qMHP5P282oSRq1KihgQMHasGCBcX2mzZtml566SXTxzWz2ESHDh3Url0708eEf+A8UTzOE4B/IrAD/NCDDz6o2bNna9u2bab6//LLLwR2bnbVVVfpqquu0tSpU/Xrr7/qu+++048//qh169YpOTnZbeNkZmbqjjvuUE5Oju666y63HdefZGRk6IEHHjDd/6KLLtIDDzygm2++WdWqVfNgZSgvpk2bps2bN5vqGxAQoKFDh2rs2LHq0qWLR+5f6W8yMzMVGOj9X/kyMjKc9qkoqxbD/caPH+80sJs9e7YmTZpkavYQi02Ub5wnisd5AvBPBHaAHwoICNAzzzyjwYMHm+rvycs3K7qAgAB16tRJnTp1kpT7DuTmzZu1evVq/fjjj1q7dq1bVq8aP368GjRooGuvvbbUx/I37733nuLj4532s1gsevzxxzVhwgSPXpqRlpbmsWPD+7KysvT888+b6tuiRQvNmTNH7du391g9/vj9lZKSovDwcJ+M6wx/iKGkunTpopYtW+rPP/8sso998YmbbrrJ6fHMLDYRHR1t6ljwL5wnnOM8AfgnFp0A/FS/fv1MnzgPHjzo4Wq8x99XDg0ICNCll16q+++/X5988omOHj2qPXv26L333tNNN92kSpUqlei42dnZGjFihMuXapQF7733ntM+FotFs2bN0vPPP+/x+6ikpqZ69Pjwrq+//lpHjx512q99+/b66aefPPpHmOSf318nTpzw23FL+jMTkKSxY8c67WNm8QnDMEwtNnHrrbcqIiLCVG3wH5wnnOM8AfgnAjvATwUHB6tr166m+pan+3H547uOzjRq1Eh33nmn5s2bp5MnT2rVqlW69957Xf4F48SJE3r99dc9VKVv/Pnnn9qyZYvTfv/61790++23e6EiuWVGJPzHxx9/7LRPdHS0vvjiC8XGxnq8Hn/8/vLVOcLMuDVr1vRCJSivRo4c6TRAsy8+URyzi01wOWzZxHnCOc4TgH8isAP8WKtWrUz1K807dWZuMOvN1ZnOnDnjtbE8ISAgQF26dNGbb76pw4cPa9q0aapbt67p/V988cVytRrWypUrnfaJi4vTf/7zHy9Uk/u9nJCQ4JWx4B2rVq1y2uexxx5TnTp1PF+MZOryb2/bs2ePT8bdvXu30z78IYbSiI6O1i233OK0n7PFJMzMwuvcuXOFWdW9vOE84RznCcA/EdgBfqxq1aqm+mVlZZV4DDPLqZ89e7bEx3eVP/4SU1KhoaG66667tH37dg0fPtzUPomJiVq7dq2HK/Oen3/+2Wmf2267rdQrv5rF/R7Ll7179zpdxdlqtXp1QZetW7d6bSyzdu7c6ZNxnc1qkqSGDRt6oRKUZ+PHj3faZ/bs2crMzHS47dixYyw2UY5xnjCH8wTgnwjsAD8WFxdnql9pbhJr5kau3gzsirt5dFkVERGhjz76SDfccIOp/t99952HK/IeM7+I9erVywuV5NqwYYPXxoLnmfn+ateunapUqeKFanL54/fYr7/+6vUxd+/ercTERKf9Wrdu7fliUK5dcskl6ty5c7F9EhIS9OmnnzrcZmaxidjYWNNvvMG/cJ4wh/ME4J8I7AA/ZvZ+bqW5AbKZ+6ydPn26xMd31caNG702ljdZrVZNnTrVVLi6bt06L1TkHYcOHXLap02bNl6oJNe3337rtbHgef72/bV161a/vDfRb7/9VuTsIk8x+3PMm/8+KL/GjRvntI+jy2INwzC1MNJtt92msLCwEtUG3+I8YQ7nCcA/EdgBfszMilZS6e7tUL16dad9tm3bVuLju+LIkSPavn27V8byhdq1a6tv375O+5VmpS6r1eq0j81mK/HxXWVmdma1atW8UEnuvR6XL1/ulbHgHf70/SVJX375pdfGckVaWpqpezi50+LFi532iYuLU4sWLbxQDcwwc09bb54/XDFs2DBVrly52D6OFp9gsYnyj/OEOZwnAP9EYAf4MbP322rUqFGJx6hdu7bTPmZW+XQHf/0lxp169OjhtI+ze60UJzg42Gkfb76DamaWqJk/Et3hk08+UXJyslfGgnf40/eXYRiaNWuWV8Yqic8//9xrY6Wnp2vp0qVO+3Xp0sVr/z5wzt/OH64IDQ3V6NGjnfa7cJads8UoJOmKK64wvQgY/A/nCfM4TwD+h+9+wE9lZ2dr9erVpvqW5p2nZs2aOe2zadOmEh/fFdOnT/fKOL5Uq1Ytp32SkpJKfHwzl9x6M7QKCgpy2qc0AaVZhmHo5Zdf9vg48C5/+f6SpM8++0x79+71ylglMW/evFKtKO6KBQsWmPo5c+2113qhGpjlb+cPV40dO1YWi6XYPvkXnzh27Ji++uorp8dldl3ZxnnCPM4TgP8hsAP81Jdffmk6uLn66qtLPE7Lli2d9lmzZo0SEhJKPIYZ3377bbm9f52rSrOIiJmbJh8/frzEx3dVVFSU0z5m7i9TWvPnz/faTFF4j798f2VnZ2vixIkeH6c0kpKSNHv2bK+M9cYbbzjtExAQoMGDB3uhGpjlb+cPVzVq1MjpIkb5F58ws9hEXFychg0b5rYa4X2cJ8zjPAH4HwI7VFhpaWlemznmKsMwNGnSJFN9a9eurSZNmpR4rE6dOjntk52drQULFpR4DDPHf/TRRz12fH/y119/Oe3j7D48xTFzH5b9+/eX+Piuqlu3rtM+y5Yt82gNiYmJ+te//uXRMeAbZr6/1qxZY3oBn5J66aWXTN/CwJcmTZqk9PR0j47xxRdfmFoBsWvXrqpRo4ZHa4Fr/O38URJmF58wDMPUrP7bb79doaGh7igNPsJ5wjWcJwD/QmCHCislJUXt27fXLbfc4nfT01977TXTs81uuummUo3VsGFD1alTx2m/d99912M3m/7vf/+rzZs3e+TY/sbMKqXNmzcv8fEbNmzotI83g2ozYfKCBQs89r1lGIZGjhzplyuyofTMfH+lpaV59P6Y69at04QJEzx2fHeKj4/Xc88957Hjp6Sk6IEHHjDV96677vJYHSgZfzt/lES/fv2cBjSrVq3Sm2++aSp8vPvuu91VGnyE84RrOE8A/oXADhWaYRiaN2+eWrRooTFjxmjHjh2+LknLli1zabbZqFGjSj3m9ddf77TPli1bNHXq1FKPdaHFixd79RKBF198Ub///rvXxsvvwIEDplbEMjPrsShm7km4fPlyGYZR4jFcYeZz2b59u2bOnOmR8R955BFT9yhC2dS8eXPFxMQ47ffUU0955Gb5e/bs0aBBg/z2RvyOTJkyRT///LNHjv3ggw+aCkHq1aunoUOHeqQGlJyZ84eZN518yWq1mgrZzAQGV199tanbhsC/cZ5wHecJwH8Q2AGSsrKyNHPmTLVq1UqDBw/2+rLmdgsWLNDAgQOVlZVlqn///v3VunXrUo9r9oT41FNPuXU24rJlyzRkyBCPza5yZPHixWrXrp1uvPFG04t6uENWVpZuvvlmp/fLkcwFqEXp2LGj0z7x8fH6+uuvSzyGK8zeLPjRRx91a2Bus9n00EMP6aWXXnLbMeF/LBaLunfv7rTf3r17Tb+jb9aff/6pbt26lbnZm9nZ2Ro8eLDi4+Pdetxp06bp3XffNdX3kUcekdVqdev4KD0z54+ffvrJZ296mXXnnXc6XWjAzLmYxSbKB84TruM8AfgPAjsgH5vNps8++0zdunVTixYt9Oqrr3rlJBsfH68RI0Zo+PDhpu+hYbVa9eyzz7pl/O7du6tBgwZO+yUmJqpr166lDu0Mw9Arr7yifv36efw+GUWN/+WXX6pLly66+OKLNXXqVJ05c8Zj450+fVr9+vUz9W5l69at1aFDhxKP1bhxY1Mr0Y4fP17btm0r8ThmtW3b1tQlvqdOnVLPnj21a9euUo954sQJDRgwgFVhK4jhw4eb6vfWW2/psccec8vs0vnz56tz585u/2PGW44cOaKuXbu67UbrM2fONHXvMCl3VXMuM/RPnTt3NrWi5m233ebX3/s1atTQwIEDS3WMypUra8iQIW6qCL7GecJ1nCcA/0BgBxRhx44deuCBB1S7dm117dpVb731ltvvdbdr1y498cQTatasmebOnevSvo899pjatm3rljoCAgJ0//33m+obHx+vq666SvPmzSvRWOvWrdNVV12lBx980OE73KVZQKMktmzZovHjx6tGjRoaNGiQPvjgA7etiJudna1Zs2apXbt2pi8jeuSRR0o97oABA5z2OXz4sDp06KAHH3xQmzZt8ugsx/Hjx5vqFx8fr0svvVRTp04tUT0ZGRl688031bJlSy1atMhhn6ioKDVu3NjlY8N/DRw4UDVr1jTVd8qUKerevbv27dtXorG2bNmi/v3766abbtLZs2cd9rn00ktLdGxv27t3ry677LJSXeKYmZmpBx54QGPGjDH9f/bVV19VYGBgiceE50RGRpqaFb1161ZdfPHFmjhxonbu3OmFylxn9rxTlJEjRyokJMRN1cDXOE+UDOcJwA8YQAV18uRJQ5LLj/r16xtjxowx3nrrLeOnn34ykpOTTY95+PBhY+nSpcZzzz1ntGvXrkTjSzIuv/xyIzMz061fj7S0NKNevXou1XHllVca77//vnHs2LFij71nzx7jrbfeMi6//PJij9e4cWPjq6++cjpuly5dSvx5dunSxenxAwICjPbt2xv33Xef8fHHHxt//PGH6a93YmKisXz5cuP+++93+evZqVMnw2azlfhzs1u3bp3L31Ph4eFG+/btjeuuu84YOnSoMXLkSKeP9957z1Q9KSkpRu3atV2qp169esbkyZONbdu2Ffs1SU9PN1avXm3861//MqpVq+b0uLNmzTL1PbBy5cpS/zsYhmGsXLnSo9/PF/Lm52aWmX/v0nr99ddd+v6yWq3GoEGDjMWLFxuJiYnFHvvgwYPG+++/b3Tv3t2wWCzFHrdFixbGkiVLvPpvbubzHTNmTLHbhw0bZvzxxx+mx8zOzjbmz59vNG7c2KWv+9ixY932eRuGYezfv9/UzxJ3mTlzptPxRo4c6bbxRo4c6XS8mTNnum08wzCMefPmufRvKsmIjo42OnfubPTt29cYPny4qfPH559/7ta6HWnZsqXLn4v9sWPHDo/X56/MfJ/748MZzhPFP8rreQIo64iuARcdOHBAM2bM0IwZM/LaKlWqpIsuukjVq1dXeHi4wsPDZbPZdPbsWZ09e1bJyck6dOiQTp06VerxmzZtqq+//trUZSuuCA0N1SuvvKLBgweb3mft2rVau3atLBaLmjRpourVq6tatWoKDQ1Vamqqjh49qt27d5v6vMPCwrRgwQIlJSWV5tNwC5vNpg0bNmjDhg16/fXXJUmBgYGqXbu2atWqpapVqyo0NFQhISFKT09XSkqKkpOTtWfPnhJfQh0TE6OPPvpIFoul1PV37txZV199tdasWWN6n9TUVG3YsMHlse68806nfcLDw/XKK6+YviRFkg4ePKjHHntMjz32mGJjY9WyZUvFxcUpNjZWOTk5Sk5O1oEDB7R3715lZGSYOubNN9+skSNHemyBC/jO+PHjNX36dG3dutVU/5ycHH322Wf67LPPZLFY1Lx5c9WqVUtxcXF5P79OnDih3bt36/jx46aOGR4errlz5yoxMbEUn4lnvPLKK1q6dKmOHDnicPuCBQu0YMECXXnllerbt686deqkZs2aqVKlSgoODlZKSoqOHDmibdu2aeXKlfryyy9dvsyrZcuWXKZeBgwZMkRPPPGEqZvC2yUnJ7t8g/r69evrxhtvdLE614wdO1b//Oc/Xd6va9euphbgQNnCeaJ4nCcA/0RgB7jB6dOndfr0aY+Pc/HFF2vx4sWqXLmyR44/aNAgjRkzpkAYaYZhGNq1a1eJ7z8WFBSkTz/9VO3atfPZgh/OZGdn6+DBgzp48KDbjx0aGqpPPvlEjRo1ctsxX3/9dXXo0EE5OTluO2ZpDBs2TEuWLNHs2bNd3jcxMVE//fRTqcbv2rUrQV05FhgYqHnz5qljx45KTU11aV/DMLR9+3Zt3769VOMvWLBAl1xyiV/+DIuJidGHH36o3r17F7uokf1NGHerVq2aFi1apPDwcLcfG+4VGBio1157zdStFfzdyJEj9fjjjyslJcWl/bh3VvnEeaJ4nCcA/8Q97IAy4sYbb9SaNWtUu3Ztj47z5ptv6qqrrvLoGPkFBQVpzpw5uu6667w2pj+Jjo7WF198YXo1VbPatWvnd+9STp06VV26dPH6uB07dtSXX37J/YjKuVatWmnevHlev+9NYGCgZsyYob59+3p1XFd169ZNU6dO9fq40dHRWrRokamFjeAf+vfvb/q+tv4sOjpat9xyi0v7VKlSRYMGDfJQRfA1zhPF4zwB+B8CO1RYYWFhuuKKK9xyCaInxcbGasaMGfr8888VFRXl8fHCwsK0aNEiXX755R4fKy4uTsuWLXPpUsnypFWrVlq3bp169+7tkePfd999eumllxQQ4B8/6sPCwvT111+7PZwszrBhw7Rq1SpFR0d7bUz4Tv/+/TV//nyFhYV5Zby4uDh98803uu2227wyXmndcccdeumll7x23qtatapWrVpVqpWv4Rsvv/xyuQjtXF18YtSoUby5U85xnige5wnAv/jHX3GAD0RERGjt2rU6dOiQXn31VXXp0sWvViQKCwvTQw89pH379mn06NFeHTsmJkYrV67UqFGjPDbGVVddpfXr16tbt24eG8ORnj17qlatWl4d80JhYWH697//rY0bN6ply5YeHevBBx/Ujz/+qHbt2nl0HLOioqL0zTff6P777/foL4NRUVF67bXX9PHHH3vtl3L4h0GDBumHH35w6yXmjnTr1k3r16/3agDtDg8++KA++ugjj4cS7du317p16/zmZw9cExAQoFdffVWLFi3y+P8lT7rkkkvUuXNnU30tFguXw1YQnCeKx3kC8B8Edqjw6tSpo/vvv1+rVq1SQkKC5s+frzFjxvhsWnbTpk314osvKj4+Xi+++KLi4uJ8UkdISIhmzpzp9l/Wa9SoobffflurV69W48aN3XZcs5588kkdPnxYGzdu1DPPPKNOnTp5bQZaTEyM7rvvPu3du1fPPPOMgoODvTLu5Zdfro0bN2rp0qUaPny4IiMjvTJuUQIDA/Xqq69q1apVuvTSS91+7BEjRmj79u267777/H4GLTyjQ4cO+v333/XII48oNDTUrcdu2LChPvjgA61YscInP8Pc4eabb9bGjRvVqVMntx87ODhYjz76qH766acyHfQgV9++fbVz504tWLBA/fr1K5Ozz8aNG2eqX7du3dSkSRMPVwN/wXmieJwnAP/gP9OJAD8QExOjYcOGadiwYZJyV6pcs2aNfvnlF61fv15btmxRenq6W8eMjIxUhw4d1KNHDw0YMECtW7d26/FLq2/fvurTp48+/vhjTZs2TT/++KNsNptLx7BYLGrfvr3uuusujRw50i9+4W/Xrp3atWunf//73zpz5ox+/vlnrVu3TuvWrdP69euVnJzslnGioqLUs2dPDRw4UIMGDfLpzXR79+6t3r17KzMzUxs2bNAvv/yi7du3a+/evTp27JgSEhJ09uxZZWZmKjs72+P1XHPNNfrtt9+0ePFivfPOO/r222+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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
      },
      "metadata": {
       "image/png": {
-       "height": 330,
+       "height": 363,
        "width": 630
       }
      },
@@ -84,7 +84,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 73,
+   "execution_count": 3,
    "id": "08ff43ef",
    "metadata": {},
    "outputs": [
@@ -155,9 +155,96 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 78,
    "id": "e9d3a570",
    "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 389,
+       "width": 515
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Draw sigmoid function to write S and write L besides it\n",
+    "import matplotlib.patches as patches\n",
+    "\n",
+    "\n",
+    "def sigmoid(x):\n",
+    "    return 1 / (1 + np.exp(-x))\n",
+    "\n",
+    "x_range = np.linspace(-20, 20, 800)\n",
+    "\n",
+    "plt.plot(x_range, sigmoid(x_range), label='Sigmoid Function', color='navy',\n",
+    "          lw=30, alpha=0.8)\n",
+    "\n",
+    "# Draw \"X\" around x = 13, 17, 19\n",
+    "xs_plus = np.array([13, 17, 19])\n",
+    "plt.scatter(xs_plus, sigmoid(xs_plus), color='k', marker='X', s=300, zorder=3)\n",
+    "\n",
+    "xs_o = np.array([-12, -15, -18])\n",
+    "plt.scatter(xs_o, sigmoid(xs_o), color='k', marker='o', s=300, zorder=3)\n",
+    "\n",
+    "ax = plt.gca()\n",
+    "\n",
+    "ax.set_xticks([])\n",
+    "ax.set_yticks([])\n",
+    "\n",
+    "# Show the legend\n",
+    "#ax.legend()\n",
+    "\n",
+    "# Remove top and right spines\n",
+    "ax.spines['top'].set_visible(False)\n",
+    "ax.spines['right'].set_visible(False)\n",
+    "ax.spines['left'].set_visible(False)\n",
+    "ax.spines['bottom'].set_visible(False)\n",
+    "\n",
+    "\n",
+    "# Set the face color of the plot area to grey\n",
+    "ax.set_facecolor('#F4F4F0')\n",
+    "\n",
+    "# Draw L-shaped figure from x = 25 onwards to match sigmoid height\n",
+    "# The height of the sigmoid function is between 0 and 1\n",
+    "l_height = sigmoid(25)\n",
+    "vertical_part = patches.Rectangle((25, 0), 5, l_height, facecolor='navy')\n",
+    "horizontal_part = patches.Rectangle((25, 0), 15, 0.1, facecolor='navy')\n",
+    "\n",
+    "# Add the L-shape to the plot\n",
+    "ax.add_patch(vertical_part)\n",
+    "ax.add_patch(horizontal_part)\n",
+    "\n",
+    "# Draw capacitance symbol inside the L-shape\n",
+    "cap_x = 25.5\n",
+    "cap_y = l_height / 2\n",
+    "\n",
+    "# Define the line segments for the capacitance symbol\n",
+    "lines = [\n",
+    "    [(cap_x - 0.3, cap_y), (cap_x - 0.1, cap_y)],  # left line\n",
+    "    [(cap_x + 0.1, cap_y), (cap_x + 0.3, cap_y)],  # right line\n",
+    "    [(cap_x - 0.1, cap_y + 0.2), (cap_x - 0.1, cap_y - 0.2)],  # left plate\n",
+    "    [(cap_x + 0.1, cap_y + 0.2), (cap_x + 0.1, cap_y - 0.2)]   # right plate\n",
+    "]\n",
+    "\n",
+    "# Draw the line segments\n",
+    "for line in lines:\n",
+    "    ax.plot(*zip(*line), color='black', lw=2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "4f33e9e3",
+   "metadata": {},
    "outputs": [],
    "source": []
   }
@@ -178,7 +265,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.0"
+   "version": "3.11.7"
   }
  },
  "nbformat": 4,