From ed04a2e93167c41ecb962ea82792e57c3ecd71a6 Mon Sep 17 00:00:00 2001 From: Kees van Kempen Date: Tue, 4 Oct 2022 10:57:31 +0200 Subject: [PATCH] 04: Add titles to plots --- Exercise sheet 4/exercise_sheet_04.ipynb | 12 +++++++----- 1 file changed, 7 insertions(+), 5 deletions(-) diff --git a/Exercise sheet 4/exercise_sheet_04.ipynb b/Exercise sheet 4/exercise_sheet_04.ipynb index b7d966c..b344e25 100644 --- a/Exercise sheet 4/exercise_sheet_04.ipynb +++ b/Exercise sheet 4/exercise_sheet_04.ipynb @@ -137,7 +137,7 @@ "outputs": [ { "data": { - "image/png": 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2bRpev37NdixCVIJGfP/ZFf0Qi8NTUFxa9V0v6vL08H1HE/y9/Gfw+Xxs27YNVlZWtZiSEOXLzc3FlClTcPnyZWzatAl9+/ZlOxIhtYqKD28ub3pvjUZxqVTu8wUxx/E68RxKch+inq0nGg/4WeFrmVIxxrR+hXmTR0FPjwbQRHOdPn0afn5+cHd3x5o1a2Bubs52JEJqBf1LDWBDxF2IJFKFz3ONGqFBl69h5Pi/Sr9Wj2eArIYOVHpE4/Xp0wdJSUmwsLCAg4MDduzYUaWlD9WdCEYIW3R+xJcnFOPT5ecV7ue97WVkGKQFeRWO+ADAgKuHqzM/QyMjg9qKSYhK3bp1C+PHj4eRkRG2bNkCa2trhefUZCIYIWzS+WHKwZiMGr8GB8DB2Jq/DiHqwtnZGdHR0Rg8eDC6dOmCRYsWoaSkpPzx6k4EI0Qd6HzxpT4reO9orypEEhlSswqVlIgQ9aCvrw9/f3/Exsbi2rVr6NixI65cufLWRDApPnS9iGGA4lIpFoenUPkRtcFlOwDbCkTKWcBbICpVyusQom5atWqFY8eO4dChQ/h64nTU6T8TMo78Px3Pds+C+GkaOHr6AAD9+o3QwndL+ePFpTIsDk+FY0sTOLY0UWV8QhTofPEZ85XzS2DM5ynldQhRRxwOB8OGDcM/BS1wIT2vwueY9vFDfafK96IVSaTYGHEXm30+qa2YhFSJzl/qFDQ1hgG34l8GRiYFIykBZFKAkYGRlICRKc7+5HP1IGhWv7ajEsKqPKEYVx/kA5zq/bPBMMCFtFya7UlYp/PFN8y1ZaWPvbqyF49/+xIF0Qfx+vYFPP7tS7y6slfheQyAYS6Vvw4h2uBDE8HyI/7Ak+CReBY2HaJHCRU+hyaCEXWg85c6GxsZwNPaDGdSshVu1Jt0+wYm3b75wCsw8GzfmJYyEK33volgDXt+D14jC3D0eXidEomcQwvR7PsQ8Bo2k3seTQQj6kDnR3wAMLmHFfhc/Wp9LUcmwbWdC5GamqrkVISol/dNBDNobgM9A0NwuDwYOfSCQQtbFN+7Wcnr0EQwwi4qPgBOFiYI7C9AXd7H/XLU5enh18HOmDi8P7p27Yr169fTIZ9Ea33URDAOB29uAii6dO4URo0ahVWrVuHs2bPIyclRTkBCqkjnd25525v1SakQSd6/PonDAfhcfQT2F8DHvQ0AID09Hd9++y1MTEzw+++/o3nz5qoJTYiKbL54D2vOpitc7pSJhBA/TQO/lQOgp4/XKZF4cXI9mo0OBq+R/L1vA64evhLURZviu0hISEBCQgLi4+NhYGAAJycnODo6wtHREU5OThAIBKhTp44qv0WiI6j43pGQkY8VJ27h0r2XqMvnQ1TBNkw9bcwwqYeVwnokiUSCJUuWYMOGDVi3bh2GDx+u2vCE1KLjpy/gx7MFgL78yE9a9Ao5+4NQ+iID4OiB16glTLr5oG5bxTP+Ktrej2EYZGRklJdgWSE+ePAA7du3VyhEc3NzcDicWv9+ifai4qvAwoUL8STnJVy/mozUrEIUiEphzOdB0Kw+hrm0/OBElhs3bsDHxwedOnXC+vXrYWJioprghNSC+Ph4zJ49GykpKRCMX41UYZ0P7thSEQ4H8OpgXuV1fMXFxUhOTpYrxPj4eOjr65eXYFkhdujQAQYGNMGMVA0V3zsYhoGdnR22bduGLl26VPt1ioqKMGPGDBw7dgw7d+7EZ599psSUhNS+Bw8eYN68eTh79izmzJmDCRMmIDWnuMIjvKqiLk8f+3zda7RzC8MwePr0qdxl0oSEBNy7dw+WlpYKhdi8eXMaHRIFVHzviI+Px6BBg/DgwQOl/IU5efIkxo0bh+HDh2PJkiXg8/lKSElI7cnJycGiRYuwe/du/Pjjj5g6dSrq1///DRqqe2hzYH/b8nviyiYWi8tHh2+Xokwmk7tMWjY6rFu3bq3kIJqBiu8ds2bNAgAsW7ZMaa/5/Plz+Pn5ISUlBbt27YKzs7PSXpsQZSksLMTq1asREhKCb775BnPnzkWTJk0qfG5NJoKpCsMwyM7OVrh3mJ6ejjZt2ijcO2zZsiWNDnUEFd9bGIZB27ZtcfToUTg5OSn9tXfv3o0pU6Zg6tSpmDZtGvT1q7d2kBBlKikpwZYtW7B48WL07t0bv/76K9q1a/fBr0vIyMfGiLu4kJYLDiA3EQySEvDq1EEvW/MKJ4KxqaSkBKmpqQqFKBKJFC6V2tvbw9DQkO3IRMmo+N5y9epVjBs3Drdv3661n/weP36MUaNGQSKR4M8//0Tbtm1r5X0I+RCZTIY9e/Zg3rx5sLGxwdKlS6t1NeK5UIyDsRlyE8GyUm7CMDsBOzaFKD94LcnJyVG4d5iWlgYLCwuFQmzdujWNDjUYFd9bfvjhB5ibm2PevHm1+j4ymQxr167F0qVLsWLFCowePZr+EhGVYRgGJ0+exOzZs2FgYIDly5ejR48eSn2Phw8f4pNPPsHTp081ei1eaWkp0tLSFApRKBQq3Du0t7eHkZER25FJFVDx/UcikaBFixa4cuUKrKysVPKeiYmJ8PHxQbt27RAaGgozMzOVvC/RXdeuXcPMmTPx7NkzLFmyBEOGDKm1H7q6du2K2bNn4/PPP6+V12dTXl6ewkSalJQUtGjRQqEQ27RpAz092iRLnVDx/ef06dOYO3curl+/rtL3FYvFmD9/PsLCwhAaGooBAwao9P2JbkhNTUVgYCCuXbuGoKAgjB49Glxu7e5Rv2HDBly9ehW7d++u1fdRFxKJBHfu3JG7bxgfH49Xr17BwcFBrhDt7e1hbGzMdmSdRcX3n++//x6Ojo74+eefWXn/yMhIjBo1Cn369MGqVavokglRiszMTAQFBeHIkSOYPn06fvzxR5VN5c/JyYG1tTUyMzNRr149lbynOnrx4gUSExPlLpXevn0b5ubmCjNL27VrR6NDFaDiAyASidC8eXMkJSWxusdmQUEBAgICEBkZibCwMHh4eLCWhWi2ly9fYtmyZdi2bRvGjRuHWbNmoWHDhirP0a9fP3z33XcYMWKEyt9bnUmlUty9e1fh3mFeXh7s7e3lLpU6ODio5e5PeUIxDsZkIPVZAQpEEhjzuRA0NcZXrh/e3YptVHwADh8+jJCQEFy4cIHtKADe5Jk4cSLGjx+P+fPng8fjsR2JaIji4mKEhITgt99+w+DBg7FgwQK0bMneIclhYWE4cOAAjh07xloGTZKfn18+OiwrxKSkJDRu3Fjh3qGVlRUrS6Lin+RjQ8RdXEzPBQC5TcvL9jPuYWOGSZ5WcLIwUXm+qqDiAzB8+HD07t0bvr6+bEcp9+zZM4wbNw7Pnj1DWFgYbG1t2Y5E1JhEIsHvv/+OX375BW5ubli8eDEEAgHbsVBYWIiWLVvi/v37aNSoEdtxNJJMJsP9+/cV7h1mZ2fDzs5OrhAdHBxgampaa1k0YeOCqtD54lPnv5gMwyA0NBRz587F/PnzMXnyZLr+T+QwDIPDhw9jzpw5aNasGZYtWwY3Nze2Y8lRxx8stUFBQQGSkpLkCjExMRENGjRQuHfYvn37Gk9mUset6qpL54svLCwM+/btw4kTJ9iOUqk7d+7g22+/hbGxMX7//Xe0aNGC7UhEDURERGDWrFkQiURYtmwZvLy81HI96JEjR7B27VpERESwHUXryWQyPHz4UOHeYWZmJmxtbRUKsao/7Mc/ya9wc3JJfjaen96IksxUgMtDPZtP0bC3Lzh6/38JVhmbkyubzhdf//794ePjg5EjR7Id5b0kEgmWLl2K9evXIyQkBF9//TXbkQhLbt26hdmzZyMtLQ2LFi2Ct7e3Wl8JEIvFaN68OeLj41m936jLhEIhkpKSFArRyMhIYVcaGxsbhXkFvmE3cSYlW+HyZvb+BdA3NEGjvpMhE71G9r65MHLygvEnA8uf87HHUamCThdfXl4eLC0tkZmZqTHLB27cuIFvv/0Wrq6uWL9+PSsz9Qg77t+/j3nz5uHcuXMIDAzEhAkTNGZXlLFjx6JDhw6YOnUq21HIfxiGwePHjxXuHT558gQ2NjblhdhG4IBZV0tRIlWsisytfjD9bCzqWnYCALw8vwOykiI06vuD3PMqOoCYTer7Y6IKHDx4EP369dOY0gOATp06ITY2FqampnBycsK5c+fYjkRqWU5ODn788Ud06tQJ1tbWuHPnDn788UeNKT0AGDlyJP766y+2Y5C3cDgctG7dGgMHDsTcuXOxf/9+pKWlIS8vD6GhoejWrRsePnyIX8NOQywWVfgaxp8MxOvkSMhKRZAU5qH4/k3Ubeui+F4ADsZm1PJ3VHU6PeLz9PTElClTMGjQILajVMupU6cwduxYOutPSxUWFmLVqlVYt24dfHx8EBgYWOkxQepOKpXCwsICFy5cgI2NDdtxyEcI2BeHI7eeVvhYad4T5B3/DSU5DwBGhnr2vdDo84AK7zUPcW6BNV8713LaqtHZEV9GRgaSkpLQt29ftqNUm5eXF+Lj45GRkQFXV1fExcWxHYkogVgsRkhICNq3b4979+7h5s2bCA4O1tjSAwB9fX0MHz4ce/bsYTsK+UgFIkmFn2cYGbL3z4ehTRe0mnoILf3/gkwkRH7E75W8TmltxvwoOlt8+/btw+DBg2FgoB7XnKurUaNG2LdvH+bMmQMvLy8sXboUUqn0w19I1I5MJsOuXbsgEAhw8uRJnDp1CmFhYVpzdFXZ5U4dvsikkYz5FS+DkBUXQlqQi/ouA8Dh8qBf1xhGjr1RfO9mJa+jPhtx6Gzx7dmzR2u2UeJwOPjmm29w8+ZNnDlzBp6enrh//z7bsUgVMQyD8PBwdOzYEevXr8fOnTsRHh6u9MOQ2dapUyfIZDLExMSwHYV8BEFTYxhwFatC37ABuA3MURgXDkYmhUwkhDDxHHhNFH9Q43P1IGhWXxVxq0Qniy89PR0ZGRno2bMn21GUqlWrVjh79iyGDh0KNzc3bN++nX66VnPR0dHo0aMHpk6diqCgIERFRcHT05PtWLWCw+Fg5MiRdLlTw7ibvzm1viJmXwai+H4MMoJHInPLm/V7pr3GKzyPATDMRX2Wsujk5JZffvkFL168QHBwMNtRak1SUhJ8fHzQpk0bhIaGavT9IW2UkpKCwMBA3LhxA0FBQRg1alStHxOkDlJSUtC7d288fvyYlX0mSdUVFRVhxYoVWLduHez8gvFE1hDVKQt1XMencyM+hmG06jJnZezt7XHt2jXY2trC2dkZx48fZzsSwZtJVePGjUP37t3h4eGB9PR0jB07VidKDwBsbW3RpEkTREZGsh2FVIJhGOzbtw+2trZISUlBXFwc1vkNAJ9XvR9U+Fx9TOqhmsO9q0rniu/WrVsoKSlRu/0Ma4OBgQGWLl2Kffv2wd/fH76+vhAKhWzH0kkvXrzAjBkz4OTkBDMzM6Snp2P69OkqOxtPndDlTvV169Yt9OjRA0uXLi3fzrFVq1ZwsjBBYH8B6vI+rjLe7NUpUKvtygAdLL49e/bA29tbLfc0rC3dunXDrVu3IJVK4ezsjKtXr7IdSWcUFRVh+fLlsLGxQX5+PhISErB06VKd3nHH29sbhw4dglgsZjsK+U9ubi78/PzQt29fjBw5EjExMejevbvcc3zc2yCwvy3q8vTxoX8+OZw3e3Sq4wbVgI4Vn0wmw969e7X+MmdFjI2NsX37dqxcuRJffvkl5s6dW+kNa1JzEokEW7duhbW1NW7cuIHLly8jNDSUNhgHYGFhATs7O5w6dYrtKDqvtLQUwcHB6NChA/h8PlJSUjBhwoRK77/6uLfBPl93eHUwhwFXD/x3ZnvyuXow4OrBq4M59vm6q2XpATo2ueXy5cvw8/NDUlIS21FYVXbWX1ZWFnbt2kVn/SkRwzD4+++/ERgYiObNm2PZsmXo3Lkz27HUzubNmxEREYG9e/eyHUVnnT59GgEBAWjZsiXWrl2LDh06fNTXPxeKcTA2A6lZhSgQlcKYz4OgWX0Mc1H/E9jB6JBJkyYxixYtYjuGWpDJZMyWLVuYxo0bM8HBwYxUKmU7ksY7f/4807lzZ8bZ2Zk5efIkI5PJ2I6ktnJzc5kGDRowhYWFbEfROXfu3GEGDhzIWFpaMkePHtXJP6c6c6mztLQUBw4cgLe3N9tR1AKHw4Gvry+ioqKwZ88eeHl5ISNDfTaR1SS3bt1C3759MW7cOAQEBCAmJkZtz8ZTF40bN0bXrl1x9OhRtqPojMLCQsyaNQvu7u7o0qULbt++jYEDB+rkn1OdKb5z586hXbt2sLS0ZDuKWrGyssKlS5fQo0cPuLi40KWnj3D//n1888036NevH7744gukpKRgxIgRan02njoZMWIEndigAjKZDH/88QcEAgGysrKQkJCAmTNnavx2jTWhM/f4Ro0aBRcXF/j7+7MdRW3FxMTAx8cHHTt2xIYNG3R65uH7ZGdnY9GiRdizZw/8/f3x888/a9TRVupCKBSiRYsWuHfvHho3bsx2HK107do1+Pv7g2EYBAcHw93dne1IakEnfjQtLi7GsWPHMHz4cLajqDVXV1fExMSgcePGcHJywtmzZ9mOpFYKCgqwYMECdOjQAVwuFykpKZg3bx6VXjUZGRmhf//+OHjwINtRtE5WVhZGjx6NIUOGYOLEiYiKiqLSe4tOFF94eDhcXFzQrFkztqOoPUNDQ4SEhGDbtm0YPXo0AgICUFxczHYsVonFYgQHB8Pa2hoPHjxATEwM1qxZAzMzM7ajaTw6oFa5xGIxli9fDgcHBzRt2hRpaWkYNWoUXX5/h078aujCFmXK1qdPHyQkJCArKwuurq6IjY1lO5LKSaVShIWFQSAQ4MyZMzh9+jT+/PNPtGnThu1oWsPLywu3b9/G48eP2Y6i0RiGwbFjx2BnZ4erV68iOjoay5YtQ/366nMigjrR+nt8BQUFsLCwwMOHD+meVTUw/+1tGhAQgICAAMycOVPrNxdmGAb//vsvZs+ejXr16mH58uXo1q0b27G0lq+vL9q3b4/p06ezHUUjJScn4+eff8bjx4+xdu1aeHl5sR1J7Wn9iO/IkSPw9PSk0qumsqNkYmJicO7cOXTv3l2rz/orOyZo+vTp+PXXX3HlyhUqvVpGlzurJz8/HwEBAfD09ES/fv2QkJBApVdFWl98f/31F13mVAILCwucOXMGX331lVae9ZeSkoIhQ4Zg+PDhGD16NBISEjBo0CCdXOOkat26dUNubi6Sk5PZjqIRpFIpQkNDIRAIUFxcjOTkZAQEBIDHU58TztWdVl/qzM3NRfv27ZGZmYl69eqxHUdr3L59Gz4+PrCwsMDWrVthbm7OdqRqe/LkCYKCgnD8+HHMmDEDkydP1skTE9g2depUGBoaYuHChWxHUWuRkZHw9/dH/fr1ERwcjI4dO7IdSSNp9YjvwIED6N+/P5WektnZ2eHatWuwt7eHs7Mzjh07xnakj/bixQtMnz4dzs7OMDc3R3p6OqZNm0alx5Kyo4q0+OfwGnn8+DG+/vpr+Pj4YNasWbh48SKVXg1odfHRbM7aU6dOHSxZsgQHDhxAQEAAxo0bh8LCQrZjfVBRURGWLVsGGxsbFBYWIjExEUuWLIGJiQnb0XSai4sL9PX1cePGDbajqJWioiL88ssv6NixIwQCAVJTU/H111/TJfga0trie/z4MZKTk+lmby3r2rUr4uPjAQDOzs64cuUKy4kqJpFIEBoaCmtra8TGxuLKlSvYvHkzmjdvznY0gjeTqGgLs//HMAz2798PW1tb3L59G7Gxsfjll19gaGjIdjStoLX3+FauXIn09HRs3bqV7Sg64+jRo/Dz88OYMWOwYMEC1KlTh+1IYBgGhw4dQmBgIFq2bIlly5ahU6dObMciFUhLS0OPHj2QkZGh9Utm3ic+Ph7+/v7Iz89HcHAwPD092Y6kdbR2xEeXOVVv0KBBuHXrFhISEuDu7s76LL3z58/Dzc0NS5Yswbp163D27FkqPTVmY2ODFi1aICIigu0orMjLy4Ofnx/69OkDb29vxMTEUOnVEq0svtTUVDx79oz+0LDA3Nwcx44dw6RJk+Dp6Yng4GDIZDKVZoiLi4OXlxd8fX0xZcoU3Lx5E3369KH7IhpAF9f0lZ2CbmtrCwMDA6SmpsLPz0+nR721TSsvdS5YsACvXr3C2rVr2Y6i0+7evYvvvvsOhoaG2LlzJ1q2bFnpc/OEYhyMyUDqswIUiCQw5nMhaGqMr1yrfprzvXv3MG/ePERERGDu3LkYN26cWlxuJVWXmZkJBwcHZGVl6cSxOWfOnEFAQACaN2+OtWvXws7Oju1IOkHrio9hGNjY2GDXrl3o3Lkz23F0nkQiwfLlyxEcHIzg4GCFy8/xT/KxIeIuLqbnAgDEkv8fHfK5emAA9LAxwyRPKzhZmFT4HtnZ2Vi4cCH27t1bvrUanZiguXr27Al/f38MHjyY7Si15t69e5gyZQqSkpKwevVqnT0Qli1ad6kzNjYWMpmM7uWoCS6Xi8DAQPz777/49ddfMWLECLx8+RIAsCv6Iby3RuNMSjbEEplc6QGA6L/PnU7OhvfWaOyKfij3eEFBAebPn48OHTqgTp06SE1Nxdy5c6n0NJw2X+4sLCzE7Nmz0blzZ7i7u+P27du0QxALtK749uzZA29vb/qDpGbKTnho0qQJHB0dEfj7SSwOT0FxqRQfuubAMEBxqRSLw1OwK/ohxGIx1q5di/bt2+PRo0eIjY3F6tWr6TBTLTF06FCcOnUKBQUFbEdRGplMhj///BMCgQCZmZlITEzE7Nmzwefz2Y6mk7TqUqdMJkPr1q1x8uRJulauxrb+fRqLooTgcCu+h1P6IhNPt/+AeoJP0fiLaXKP8TgMSk+ugEOLBliyZAkcHBxUEZmo2MCBAzFs2DB89913bEepsevXr+Onn36CTCZDSEgIHQirBrRqxHf58mU0bNiQSk/N3XhtCr1KSg8AXpzeDINm7St8rFTG4JPvAnH8+HEqPS1WtoWZJis7BX3w4MHw8/NDdHQ0lZ6a0Krio7V76i9PKMbF9FxUdpnhdfJF6PHrgd/aqeIncPSQ+FyG50JxrWUk7Pviiy8QFRWFnJwctqN8tLdPQTc3N0dqaipGjx5Np6CrEa35nSgtLcXBgwfh7e3NdhTyHgdjMip9TCYuQv6l3Wj42dj3vgYHwMHYyl+HaL569ephwIABOHDgANtRqoxhGBw/fhz29va4fPkyoqKisHz5chgbG7MdjbxDa4rv7NmzsLKyQtu2bdmOQt4j9VmBwuzNMvmRYTBy6gOusdl7X0MkkSE1S/03xCY1M2LECI253JmSkoJ+/fphxowZWLduHY4fP4727Su+XE/YpzXFRwfOqj+GYZDzUljhYyXZ9yF6FA/jToOq9FrPC4uUGY2ooT59+iAtLQ0PHz5kO0ql8vPz8fPPP6N79+7w8vJCQkIC+vbty3Ys8gFaMauzqKgIzZs3R2pqKpo2bcp2HJ1XWFiI9PR0pKWllX+kp6cjPT0dDfsHQN/SQ+FrCm4cRX7kn+DUeXMeHlMiAhgZeI0s0Oz7YIXni1MjIbm8A9bW1uUfNjY2sLa2hqWlJZ2rpyUmTpyI1q1bY9asWWxHkSOVSrF9+3bMnz8fAwcOxKJFi9CkSRO2Y5Eq0oriO3DgAEJDQ3HmzBm2o+gMiUSChw8flpfa2yX36tUrtG/fvryIbGxsyv97z608rDmbrnC5U1YqAiMuLv//gut/Q/IqG6Zek6Fv2EDuuXyuHgJ6W2OwTb3yQi37SEtLw4MHD9C0aVO5UizL0apVK9oDUYNcunQJkydPRkJCAttRyl26dAk//fQTjIyMEBwcDBcXF7YjkY/EZTuAMtBsztqTl5enMHIrKxdzc/PyUnNwcMDQoUNhY2ODli1bVjqDbZgrH2vOpit8Xo/HB3j/v5iXw+ODw62jUHoAwADle3g2bdoU3bt3l3tcIpHg0aNHcmV4/PhxpKenIycnB+3atVMoRWtrazRp0oQ2PlAzn376KV6+fImkpCTY29uzmuXx48eYMWMGrl69ihUrVtCBsBpM40d8r169QqtWrfDo0SM6RbuaRCIR7t27J1dwZSUnk8kURm42NjawsrKq9uVE37CbOJOS/cEdWyrC4QBeHcyx2eeTar13UVER7t69qzBSTE9Ph0QiqbAQ27dvj/r161fr/UjNzZgxAzweD4sXL2bl/YuLi7FixQqEhITghx9+wIwZM1CvXj1WshDl0Pji27lzJ44cOYIjR46wHUWtMQyDzMxMhZFbWloanj59ijZt2shdkiz7bzMzM6X/VBv/JB/eW6NRXCr96K+ty9PHPl93OLY0UWomAHj+/HmFhXjnzh2YmJiU/9q8/dG2bVs6AaKW3bp1C19++SXu3bun0hEWwzA4ePAgpk+fjk6dOmHlypVo06aNyt6f1B6NLz4vLy+MGTMGX3/9NdtR1ML7JpYYGRnJjdrK/iFv27YteDyeSnPuin74316dVT+rry5PD4H9beHj3qb2glVAJpMhMzOz/Nf17VLMyMiAhYWFwgQba2trNG/enBYtKwHDMLCzs8OOHTtUtvNJ2SnoL168QHBwMHr27KmS9yWqodHFl52dDRsbGzx9+hSGhoZsx1GZqkwseffSpLW1NRo0ULxfxqZd0Q+x6J8UFJdIwHlPQXA4AJ+rj8D+ApWX3oeUlJTg/v37cvcTy/67oKCg/Pfi3Uk2DRs2ZDu6Rlm4cCFyc3MREhJSq++Tl5eHefPm4e+//0ZQUBDGjx8PLlcrpkKQt2h08a1fvx5RUVHYvXs321FqRVUnlrx9efJ9E0vUkf8vq3D5RT0IjVuDgzeL08uUncfX08YMk3pY1crlzdpUUFCAO3fuKMw6TU9Ph4GBQYX3E2ty71Sb3b17F59++ikyMzNrpYhKS0uxadMmLFy4ECNGjEBQUBBMTU2V/j5EPWhM8VV0Qvf5v8MwZ0QveA/+nO141fa+iSVSqVTh0mRNJ5aok4KCAlhaWuLy5cto3KINDsZmIDWrEAWiUhjzeRA0q49hLlU/gV1TMAyD7Ozsj1qKYW1tjdatW+v0Ugw3NzcsXLgQffr0Uerrlp2C3qxZM6xdu5b12aOk9ql98b3vhG5GIgafX/eDJ3Sz7e2JJe9emlT1xBJ1snjxYqSmpiIsLIztKGrj3aUYb39kZ2ejXbt2FU6y0YWlGGvXrkV8fDx+//13pbzevXv3MHXqVCQkJGD16tV0IKwOUeviezMBIhUiyfsPK1WXe0CaMrFEHbw92rOxsWE7jkZ431KM0tLSCifYaNNSjKysLHTo0AFPnz6t0RUPoVCIJUuWYMuWLZg6dSqmTJlCB8LqGLUtPnWd9Vc2seTdgtO0iSVsW7x4MVJSUrBr1y62o2iFDy3FqGhrN01citG7d2/4jJsIUTNnudsegqbG5ZsaVEYmk2H37t2YNWsWPvvsMyxbtgwtWrRQYXqiLtSy+Cpb5yUtLsTz8GCIHsZBr64xGnqOQj27HnLPUdY6r7cnlrxdcu9OLHm75DRtYglbykZ7ly5dgkAgYDuOVvuYpRhvf7Ro0ULt/izHP8nHjD/OIb2Qizp16sjd9iibCFXZbY/r16/D398fEokEISEh8PBQ3C+W6A61LL7KdvbIPboCYBg06v8TSrLvI+fgL2jqsxJ1zFqXP+djdvbQ5YklbFqyZAmSk5NptMey6izFsLa2ZmW2Y/ltj1JppYcYA4q3PbKysjBnzhycOnUKixcvxqhRo9Su0InqqV3x5QnF+HT5ecVNjEtEeLLWG83HbQDP9M3libzjq6BfvxEa9hgt91wDrh6uzvwMjYwMqjyx5N3Lk9o+sYQtBQUFsLKyQmRkJI321Nj7lmLUqVOnwgk2tfVDYXVue/B5eujMzUB4yGyMGTMGc+fOpQNhSTm1W5lZ2QndkheZ4OjplZceAPCatIX4caLicyWlGDJ1OYQ3jlQ4saRXr16wsbHR2YklbFq/fj3+97//UempOWNjY7i6usLV1VXu8xUtxQgLC0N6ejru378Pc3NzhQk2NVmKEf8kH4vDU+VK7/GqYfKZJCWo37E/TPv4lX9OVCrDJbEZdh47jwFdHD/6fYl2U7viq+yEbllpMTgG8ruz6BkYQlZSrPBcKfRh2tYeq8b1o4klaqSwsBBr165FZGQk21FINXE4HDRt2vSjT8UoW4pR0czT9y3F2BBxFyKJ/L3+VlMPlv+3rESEjHU+MBR0VfxifR5O3C/BgC41/76JdlG74isQSSr8vB6vrtx5bQDAiIugV6fiSyuNmlmgU6dOSs9Hqo9Ge9qNy+XC0tISlpaW6Nevn9xj7y7FuHTpErZv366wFOPtYjRt3hoX03Pfu5SpKO0K9A0bwMDCTuExhgEupOXiuVCsdZsgkJpRu+Iz5lcciWvaAoxMitIXmeWXO0tyHoD31sQW+dehS5jqpLCwEGvWrKHRno4yNDSEo6MjHB0VLzu+uxTj77//fjPrtL4tjDy+Bodb+ZILYeI51LP/rNIRIwfAwdgMTOhuqaxvhWgBtSs+QVNjGHCfKVzu1KvDh6GNB/Iv7Uajfj+hJOc+iu5eQ1OflQqvwefqQdBMOxbtagsa7ZHKNGrUCB4eHgpLDPz3xuFo/NNKv07yKgfiJ0lo1P+nSp8jksiQmlWotKxEO6jdvN5hri0rfcy0zyQwkhJkrPsGecdWolGfSXJLGcowAIa5VP46RLXKRntz585lOwrRIIXiim97lBEmnYdByw7gmTR97/MKRKXKjEW0gNqN+BobGcDT2qzCdXz6deujydD3/+PJ4bzZzZ+u6auP9evXo3fv3rC1tWU7CtEgld32KPM66TwauA9773PevA7d9iDy1K74AGByDytcupNXrRO6Dbh6mNTDqhZSkeooG+1dvHiR7ShEw1R22wMARBkpkAqfVzyb8y1024NURO0udQKAk4UJAvsLUJf3cfH0ZBLoxR+FKYS1lIx8rA0bNtBoj1TL+257vE46B0PrLtAzeP8B1HTbg1RELUd8AMo3mv6Y0xnm9LPD08hUuLm54e+//4abm5tqwpIKFRYWYvXq1TTaI9Xyvtsejfr+8MGvp9sepDJqW3zAm/JzbGmCjRF3cSEtt2ondHvMhK2tLQYMGIC1a9fim2++YSu+ztuwYQN69epFoz1SbTW57cHn6tNtD1IhtdurszLPheKPOqE7MTERAwcOxIgRI7Bo0SLamFbFhEIhLC0tceHCBXTo0IHtOESDqesRZURzaUzxVUdubi6GDh0KU1NThIWFac2BnJpg+fLluHXrFvbs2cN2FKIFJq/Zi3+yDMDh1tGIQ6mJetPq4gPeHL0yadIkXL9+HceOHUObNm3YjqT1aLRHlEkoFMLGxgYrt+9DZB6/6rc9CKmE1hcf8GZH+ZCQECxbtgwHDhxA167vnwJNamb58uWIi4vD3r172Y5CtMC8efPw8OFDhIWFAfj42x6EvEsniq/MqVOn8O2332LZsmUYM2YM23G0Utlo7/z587CzU9w4mJCP8ejRI7i4uCA+Ph4tW9KyBKIcOlV8AJCamoovvvgCAwcOxIoVK6p1Rhip3IoVKxAbG0ujPaIUI0aMgI2NDYKCgtiOQrSIzhUfALx48QLDhw8Hj8fD3r176bw+JaHRHlGmq1ev4uuvv0Zqairq1avHdhyiRXRyjr+pqSn+/fdfWFpawt3dHXfv3mU7klbYuHEjevbsSaVHakwmkyEgIABLly6l0iNKp5PFBwA8Hg/r16/HTz/9hE8//RTnz59nO5JGEwqFWLVqFebNm8d2FKIFdu/eDQ6Hg5EjR7IdhWghnbzU+a7z589jxIgRCAoKwsSJE9mOo5FWrFiBmJgY7Nu3j+0oRMO9fv0aAoEA+/fvVzijjxBloOL7z927dzFw4ED07NkTa9euBY9HR5lU1evXr2FpaYmzZ8/C3t6e7ThEwwUFBSE9PR1//fUX21GIlqLie8urV68wYsQIiMViHDhwAKampmxH0ggrV67EzZs3abRHauzJkydwdnZGXFwcWrVqxXYcoqWo+N4hlUoxc+ZMHD16FMeOHaMNlj/g9evXaNeuHc6dO0ejPVJjPj4+aNu2LRYuXMh2FKLFdHZyS2X09fXx22+/Yc6cOfD09MTJkyfZjqTWNm7cCE9PTyo9UmPR0dG4cOECZs6cyXYUouVoxPcely9fxldffYWZM2fC398fHA6H7Uhqhe7tEWVhGAYeHh6YOHEiRo0axXYcouVoxPceXbt2RVRUFHbs2IHx48ejpKSE7UhqZdOmTejevTuVHqmxPXv2QCKR4Ntvv2U7CtEBNOKrAqFQCB8fH7x48QKHDh2CmZkZ25FYR6M9oixFRUUQCAT466+/aAN5ohI04qsCIyMj/P333+jWrRs6d+6MxMREtiOxbtOmTejWrRuVHqmxVatWwcPDg0qPqAyN+D7SX3/9BX9/f2zfvh0DBw5kOw4rykZ7Z86cgYODA9txiAbLzMyEo6MjYmJi6KxMojJctgNompEjR8LKygpffvklkpOTMXPmTJ2b9LJ582Z069aNSo/U2Jw5czBhwgQqPaJSNOKrpszMTAwaNAgCgQDbtm0Dn89nO5JK0GiPKMuNGzcwaNAgpKWloX79+mzHITqE7vFVU4sWLRAZGQmJRIIePXogKyuL7UgqQaM9ogwMwyAgIACLFi2i0iMqR8VXA4aGhtizZw8+//xzuLm5ITY2lu1ItaqoqAgrV67E/Pnz2Y5CNNz+/ftRXFxMa/YIK+hSp5IcOnQIfn5+2LhxI7766iu249SK1atX4+rVqzh48CDbUYgGKy4uhq2tLf744w94enqyHYfoICo+JYqLi8PgwYMxZswYzJs3D3p62jOgLioqgqWlJU6dOgVHR0e24xANtmTJEsTGxtIPUIQ1VHxK9uzZMwwZMgQWFhbYuXMnDA0N2Y6kFDTaI8qQlZUFBwcHXL9+He3atWM7DtFRVHy1QCQSYcKECUhKSsLRo0fRsmVLtiPVCI32iLKMGTMGZmZmWL58OdtRiA7TnmtxaoTP52Pnzp3w9vaGm5sbrl27xnakGtm8eTO6dOlCpUdqJCYmBv/++y8CAwPZjkJ0HI34atmJEycwZswYrF69Gj4+PmzH+Whlo72TJ0/CycmJ7ThEQzEMA09PT3z77bcYP34823GIjqOdW2rZgAEDcP78eQwcOBC3b9/G4sWLNWrSy5YtW9ClSxcqPVIjhw4dwqtXrzBmzBi2oxBCIz5VycvLw9ChQ2FiYoJdu3ZpxKJdGu0RZRCJROjQoQO2b9+Onj17sh2HELrHpyqNGzfGmTNn0KRJE3z66ad4+PAh25E+aMuWLfDw8KDSIzUSHBwMJycnKj2iNmjEp2IMw2DdunVYunQp9u/fj27durEdqULFxcWwtLREeHg4nJ2d2Y5DNNSzZ89gb2+P6OhoWFlZsR2HEAA04lM5DoeDn376CX/88QeGDh2K7du3sx2pQlu2bIG7uzuVHqmRefPmYfTo0VR6RK3QiI9FaWlp+OKLLzBgwACsWLECXK56zDWi0R5Rhlu3bqFv375ITU2FiYkJ23EIKUcjPhbZ2Njg2rVrSExMxBdffIFXr16xHQnAm9Gem5sblR6ptrLTF4KCgqj0iNqh4mNZw4YN8e+//6J9+/Zwd3fHnTt3WM1TXFyMFStW0AkMpEaOHDmC58+fY9y4cWxHIUQBFZ8a4HK5CAkJQUBAALp27Ypz586xliU0NBRubm7o2LEjaxmIZhOLxZg+fTpWr16tNpfvCXkb3eNTMxEREfD29sb8+fMxadIklb532b29f/75h4qPVNtvv/2GyMhIHDt2jO0ohFSIik8N3bt3DwMHDoSnpyeCg4PB4/FU8r7BwcGIiIjA4cOHVfJ+RPvk5OTAzs4OV65cgbW1NdtxCKkQFZ+aKigowIgRIyASiXDgwAGYmprW6vvRaI8og5+fHwwNDbF69Wq2oxBSKbrHp6aMjY1x7NgxuLi4wM3NDSkpKbX6flu3bkXnzp2p9Ei1JSQk4PDhw5g3bx7bUQh5LxrxaYCdO3dixowZ+OOPP9CvXz+lv35xcTGsrKxw4sQJKj5SLQzD4H//+x+GDBmCyZMnsx2HkPeiEZ8GGD16NA4fPoyxY8dizZo1UPbPKlu3bkWnTp2o9Ei1nThxAllZWZgwYQLbUQj5IBrxaZBHjx5h0KBBcHV1xcaNG2FgYFDj16TRHqmpkpIS2NvbY926dfDy8mI7DiEfRCM+DdK6dWtcvnwZL1++RO/evZGTk1Pj19y6dSs++eQTKj1SbRs2bED79u2p9IjGoBGfBpLJZFiwYAF27dqFo0ePwtHRsVqvIxKJYGlpiePHj8PFxUXJKYkuyMvLg62tLS5dugSBQMB2HEKqhEZ8GkhPTw8LFy7EkiVL0KtXLxw9erRar1M22qPSI9W1YMECjBw5kkqPaBTaT0iDjRgxAlZWVhgyZAiSk5Mxa9YscDgcheflCcU4GJOB1GcFKBBJYMznwqqxIZatWY/jB/ewkJxog6SkJBw4cACpqalsRyHko9ClTi2QmZmJwYMHw8bGBtu2bQOfzwcAxD/Jx4aIu7iYngsAEEtk5V/DhQxSmQx9HFpgkqcVnCxM2IhONBTDMOjbty8+//xz/PTTT2zHIeSjUPFpiaKiIowZMwYPHjzAkSNHcO6RGIvDUyGSSPG+32EOB+Bz9RHYXwAf9zYqy0s0W3h4OKZMmYLExESVbalHiLJQ8WkRhmGwePFihJ5PAb/LSJRIq/61dXl6COxvS+VHPqi0tBQODg5YvXo1+vfvz3YcQj4aFZ+WiX+Sj2GbL6NUJn+vL+/4bxA9jIesVAT9eg1h7D4U9Z3kp5/X5eljn687HFuaqDAx0TQhISEIDw/Hv//+W+E9ZULUHRWflvENu4kzKdkKlzdLch+B17A5OFweSp8/wbO/ZqPJV0EwaGpV/hwOB/DqYI7NPp+oODXRFM+fP4etrS0uXLgAOzs7tuMQUi20nEGL5AnFuJieW+E9vTpmrcHhlt2L4YADDiQvs+SewzDAhbRcPBeKaz8s0Ui//PILhg8fTqVHNBotZ9AiB2My3vv481Mb8TrxHBiJGHXMLVHXUnFkxwFwMDYDE7pb1lJKoqlSUlKwZ8+eWj8phJDaRsWnRVKfFcgtWXhXI69JMP3fBIgzUyF6nAiOvuJsPJFEhtSswtqMSTTU1KlTMWfOHDRu3JjtKITUCF3q1CIFIskHn8PR0wffwg7SwjwUxoVX8jqlyo5GNNzJkydx9+5dOnKIaAUqPi1izP+IAbxMpnCPr0z8jWiEhITg+vXrKCkpUVI6oqkkEgmmTJmCVatWoU6dOmzHIaTGqPi0iKCpMQy4ir+l0tf5eJ18EbKSYjAyKYrvx+B1ykXwWzspPLeOPgcd2zZBcnIyfH190bBhQ3Tp0gVTpkzB/v378fjxY6WfB0jU25YtW9CiRQsMGDCA7SiEKAUtZ9AieUIxPl1+XuE+n7ToFXIPL0VJzgOAkYHboAnqu36B+s59FV7DgKuHqzM/QyOjN2f9CYVC3Lx5E9HR0YiKikJ0dDS4XC7c3d3LP1xdXWFoaKiS75Go1suXLyEQCHD27Fk4ODiwHYcQpaDi0zKVreOriqqs42MYBg8fPkR0dHT5R1JSEmxtbeXK0NLSkhY3a4Gff/4ZIpEImzZtYjsKIUpDxadl4p/kw3trNIpLP2K/sv9Ud+eW4uJixMXFyZVhUVER3N3d4eHhAXd3d3Tq1AnGxsYfnYmwJy0tDV27dkVycjLMzMzYjkOI0lDxaaFd0Q+xODwFxaWVL214l7L36szMzJQrwri4OLRt27Z8ROjh4QGBQAA9PbrNrK6++OILeHp6Ytq0aWxHIUSpqPi01JvyU5/TGUpLS5GQkFB+nzA6Ohp5eXno3LlzeRm6ubmhUaNGtZaBVN2ZM2cwceJE3L59GwYGBmzHIUSpqPi0WEJGPjZG3MWFtFxw8GZxehk+Vw8MgJ42ZpjUw4qVjalzc3Nx7dq18okzN27cQLNmzeTuFTo4OIDLpX0WVEkikaBjx45YuHAhBg8ezHYcQpSOik8HPBeKcTA2A6lZhSgQlcKYz4OgWX0Mc2lZPntTHUilUiQnJ8tdIn38+DFcXV3lyrBp06ZsR9Vqmzdvxv79+3Hu3DmaoES0EhUfUWv5+fm4fv26XBkaGxvLTZxxdnamy3FKkp+fD4FAgFOnTsHJSXGdJyHagIqPaBSGYZCeni5XhOnp6XB0dJQrQwsLCxqtVMO0adNQUFCA0NBQtqMQUmuo+IjGEwqFiImJKZ84ExUVBX19fbnLo5988gktsv+AO3fuwMPDA7dv34a5uTnbcQipNVR8ROswDINHjx7J7TaTlJQEgUAgV4ZWVlY0KnzL4MGD4eHhgZkzZ7IdhZBaRcVHdIJIJJJbZB8VFVW+yL7so3Pnzjq7yP78+fMYN24ckpOTwefz2Y5DSK2i4iM6KzMzs3w5RXR0NGJjY9GmTZvy+4Tu7u6wtbXV+kX2UqkULi4umD9/PoYOHcp2HEJqHRUfIf8pW2T/9sSZnJwcuUX27u7uWrfIfuvWrdi1axciIiLo0i/RCVR8hLxHbm4url+/Xn6v8MaNGzA3N5crQkdHR41dZP/q1SsIBAL8888/cHFxYTsOISpBxUfIR5BKpUhJSZGbOPPo0SOFRfbNmjVjO2qVzJw5E3l5edi+fTvbUQhRGSo+QmooPz8fN27ckLtEamRkJHevsGPHjqwtss8TinEwJgOpzwpQIJLAmM+FoKkxOjeWoo9nFyQmJmpMUROiDFR8hCgZwzC4c+eOXBGmpaXBwcFBrgxbtWpVq/fU4p/kY0PEXVxMzwUAuQOK+Vw9iEtK0JonRPCEz+FkYVJrOQhRN1R8hKjA69evy0+yL7tMyuFw5I5pcnV1Rb169ZTyflU+nQMAn1f7p3MQok6o+AhhAcMwePz4sdwxTYmJibCxsZErw+ossleH8xgJUWdUfISoCZFIhFu3bsmNCoVCocIi+wYNGlT6GvFP8uG9NRrFpVKFx14nX0T+lT2QFuRCv15DNPo8AHwL+/LH6/L0sc/XnZUjqghRJSo+QtTY06dP5RbZx8TEoE2bNnJlaGtrC319fQCAb9hNnEnJVri8WfwgDs//DYHZoJmo09waUuELAAC3fuPy53A4gFcHc2z2+URl3x8hbKDiI0SDlJaWIjExUW7iTHZ2Njp16gRn9244IvsEkgr+Rj8Lm4Z6jn1Q36nPe1/fgKuHqzM/U6tzGglRNio+QjRcXl4erl27hm1XHuGWtDkYPZ7c44xMise/DYVJt28gjD8NRloCw/buMOk5Bno8+YLjc/Xw8/+sMaG7pSq/BUJUSrs3ISREBzRu3Biff/45Wjt5KJQeAEhf5wMyCYrSrsDcZzmafR+Ckuz7eHV1n8JzRRIZUrMKVZCaEPZQ8RGiJQpEkgo/z/lvVFff9QtwjUyhb9gA9TsNRvG9m5W8TmmtZSREHVDxEaIljPkV7xeqzzeC/luTWD78OoqjRkK0CRUfIVpC0NQYBtyK/0obOfRGYcwJSF/nQyoSovDmURhadVJ4Hp+rB0Gz+rUdlRBW0eQWQrREnlCMT5efl9uarAwjleDF2VC8Tr4IDpeHeoJuaNjze3C4deSeR7M6iS6g4iNEi1S2jq8qaB0f0RV0qZMQLTK5hxX4XP1qfS2fq49JPayUnIgQ9UPFR4gWcbIwQWB/AeryPu6v9pu9OgW0XRnRCZp5bDQhpFJlG01X6XQGzpuRHp3OQHQJ3eMjREslZORjY8RdXEjLBQdvFqeX4XP1wADoaWOGST2saKRHdAoVHyFa7rlQjIOxGUjNKkSBqBTGfB4EzepjmEtLmr1JdBIVHyGEEJ1Ck1sIIYToFCo+QgghOoWKjxBCiE6h4iOEEKJTqPgIIYToFCo+QgghOoWKjxBCiE6h4iOEEKJTqPgIIYToFCo+QgghOoWKjxBCiE6h4iOEEKJTqPgIIYToFCo+QgghOoWKjxBCiE6h4iOEEKJTqPgIIYToFCo+QgghOoWKjxBCiE6h4iOEEKJTqPgIIYTolP8DrtguXgLYeBUAAAAASUVORK5CYII=\n", + "image/png": 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\n", 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" ] @@ -269,7 +269,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -309,6 +309,7 @@ "k = 100000\n", "\n", "plt.figure()\n", + "plt.title(\"Markov chain visiting density for uniform transition matrix $Q(x \\\\to y)$\")\n", "x_list = list(range(example_graph.number_of_nodes()))\n", "plt.bar(x_list, chain_Q_histogram(example_graph, x_start, k)/k, color=\"lightblue\", label=\"sampled\")\n", "plt.scatter(x_list, stationary_distributions(transition_matrix_Q(example_graph)), s=200, marker=\"_\", color=\"black\", label=\"theoretical\")\n", @@ -477,7 +478,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -521,6 +522,7 @@ "k = 40000\n", "\n", "plt.figure()\n", + "plt.title(\"Markov chain visiting density for uniform Metropolis-Hastings transition matrix $P(x \\\\to y)$\")\n", "x_list = list(range(example_graph.number_of_nodes()))\n", "plt.bar(x_list, chain_P_histogram(example_graph, x_start, k)/k, color=\"lightblue\", label=\"sampled\")\n", "plt.axhline(y = 1/example_graph.number_of_nodes(), marker=\"_\", linestyle = \"dashed\", color=\"black\", label=\"theoretical\")\n", @@ -1006,7 +1008,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1018,7 +1020,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Of 10000 proposed moves, 5282 were taken (52.8%).\n" + "Of 10000 proposed moves, 5106 were taken (51.1%).\n" ] } ],