figure_1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load necessary packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = 'retina'\n",
    "%config InlineBackend.print_figure_kwargs = {'bbox_inches': None}\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import cmocean\n",
    "\n",
    "plt.style.use(\"thesis\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define 2D buoyancy perturbation field as $\\theta=\\sin x$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "Re, Ri0, Pr = 5e3, 1, 1\n",
    "\n",
    "nx = 512\n",
    "ny = 512\n",
    "\n",
    "xvec = 2*np.pi*np.arange(nx)/ny\n",
    "yvec = 2*np.pi*np.arange(ny)/ny\n",
    "\n",
    "TH = np.zeros((nx,ny))\n",
    "for j in range(ny):\n",
    "    TH[:,j] = np.sin(xvec)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute and plot sorted profile $Z_*(b)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1860x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 1200,
       "width": 1860
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xnum = 128\n",
    "bw = 2*np.pi/ny\n",
    "svec = (np.arange(ny + 2*xnum + 1) - xnum)*bw\n",
    "H, edges = np.histogram((yvec + TH).flatten(), bins=svec)\n",
    "H = H/bw/np.sum(H)\n",
    "\n",
    "z_r = np.zeros(svec.size)\n",
    "for j in range(svec.size):\n",
    "    z_r[j] = 2*np.pi*bw*np.sum(H[:j])\n",
    "    \n",
    "plt.plot(svec,z_r)\n",
    "plt.xlim([-1,2*np.pi+1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute and plot the gradient $dZ_*/db$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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AAADoG6mb11MHeQAAAAAA6E+TY2kXRCMi1lwRBQAAAFokIAoAAABA31jbTLsgmmWQBwAAAACA/pNl8eDaRtq7bAAAAKD/CIgCAAAA0DdSt65PjrsgCgAAAABA6ybH0xcPrrsgCgAAALRIQBQAAACAvpF6QXTCBVEAAAAAAF7DxGj64sHnie+yAQAAgP4jIAoAAABAX9je2YsX23tJtYfGXBAFAAAAAKB12S6ICogCAAAArREQBQAAAKAvZBmocUEUAAAAAIDXMZlh8eDaxk6OnQAAAABlJiAKAAAAQF9Y20wfqMkyyAMAAAAAQP+ZyBIQdUEUAAAAaJGAKAAAAAB9IctAzeS4C6IAAAAAALRuciz9vXKWhYcAAABAfxEQBQAAAKAvZBmomRh1QRQAAAAAgNaNjQzGQKWSVLvugigAAADQIgFRAAAAAPrC2oYLogAAAAAAdEalUonJ8bTlgy6IAgAAAK0SEAUAAACgL6xnGKiZHHNBFAAAAACA1zMxlrZ8cM0FUQAAAKBFAqIAAAAA9IUsAzWTiUM8AAAAAAD0r0OJywezLDwEAAAA+ouAKAAAAAB9YS3DQM2EC6IAAAAAALym5AuiGy6IAgAAAK0REAUAAACgL6wnXhAdHKjE2Mhgzt0AAAAAAFB2k+NpywfXNnei2Wzm3A0AAABQRgKiAAAAAPSF1AuiE2NDUalUcu4GAAAAAICymxxNuyC6u9eMre3dnLsBAAAAykhAFAAAAIC+sJZ4QXRyLG2ABwAAAACA/pZ6QTQiYj1x6SEAAADQXwREAQAAAOgLaxtpwzSTY+kDPAAAAAAA9K+JDAsIn2+kLT0EAAAA+ouAKAAAAAB9YT31gui4C6IAAAAAALy+LAsIXRAFAAAAWiEgCgAAAEDpNZvNWEscpplwQRQAAAAAgASTGS6IriUuPQQAAAD6i4AoAAAAAKW3tb0bu3vNpNosAzwAAAAAAPSvyfH0BYSpSw8BAACA/iIgCgAAAEDprW2kD9JMuiAKAAAAAECCCRdEAQAAgDYTEAUAAACg9LIM0rggCgAAAABAikMZFhCuuyAKAAAAtEBAFAAAAIDSW8swSDPhgigAAAAAAAkyXRDdcEEUAAAAOJiAKAAAAAClt57lgui4C6IAAAAAALy+4aGBGBlOG9PMsvgQAAAA6B8CogAAAACUXpZBmkkXRAEAAAAASDSZeEV0LcPiQwAAAKB/CIgCAAAAUHpZBmlSh3cAAAAAACB1CaELogAAAEArBEQBAAAAKL11F0QBAAAAAOiCicQlhOsuiAIAAAAtEBAFAAAAoPTWNtIHaVKHdwAAAAAAIPmC6IYLogAAAMDBBEQBAAAAKL21xAuiI8MDMTzkFRoAAAAAAGkmE5cQbmztxN5eM+duAAAAgLIx3QYAAABA6a1tpl0QTR3cAQAAAACAiIiJxAuizYhY33JFFAAAANifgCgAAAAApZd6QXQycXAHAAAAAAAiIibH0xcRricuPwQAAAD6h4AoAAAAAKW3tpE2RDPhgigAAAAAABlkWUSYuvwQAAAA6B8CogAAAACU3roLogAAAAAAdMFkhkWEay6IAgAAAAcQEAUAAACg1Pb2mrG+lRoQdUEUAAAAAIB0mS6IbrggCgAAAOxPQBQAAACAUksNh0ZETI67IAoAAAAAQLrJ8fRFhOsuiAIAAAAHEBAFAAAAoNTWMgzQTLggCgAAAABABhMZLog+33RBFAAAANifgCgAAAAApbaeYYDmUIbBHQAAAAAAmMywiNAFUQAAAOAgAqIAAAAAlNrahguiAAAAAAB0x8Ro+iLCtQ0XRAEAAID9CYgCAAAAUGqrGQKik+MuiAIAAAAAkG5goJIcEn2e4f02AAAA0B8ERAEAAAAotdW1F8m1ky6IAgAAAACQ0aHxtHfNK+vp77cBAACA/iAgCgAAAECpLWcYoJmZHMmxEwAAAAAA+tHUZGJANMMCRAAAAKA/CIgCAAAAUGqra9vJtVMTAqIAAAAAAGQznfiu2QVRAAAA4CACogAAAACUWuoAzcToUAwPeX0GAAAAAEA2M5NpAdEX23ux+WIn524AAACAMjHhBgAAAECpraylBUSnEgd2AAAAAADg26YSL4hGRKysb+fYCQAAAFA2AqIAAAAAlFrqBdGZieGcOwEAAAAAoB9NZ1hImLoEEQAAAOgPAqIAAAAAlFaz2XRBFAAAAACArhIQBQAAANpFQBQAAACA0trY2o2d3WZSbZaBHQAAAAAA+JPpieHk2pV1AVEAAADg1QREAQAAACitLIMzMxMCogAAAAAAZOeCKAAAANAuAqIAAAAAlFaWwZkpF0QBAAAAAMhBloDo6tp2jp0AAAAAZSMgCgAAAEBpZQmITrsgCgAAAABADiZGh2JwoJJUu7zugigAAADwagKiAAAAAJTWaobBmenJ4Rw7AQAAAACgX1UqleQroqsZFiECAAAA5ScgCgAAAEBpLWe5IJo4rAMAAAAAAN83PZH2znnFBVEAAABgHwKiAAAAAJTWyvp2cm3qsA4AAAAAAHzf1ORwUt2KC6IAAADAPgREAQAAACit1cTBmeGhgRgbGcy5GwAAAAAA+tVM4lLCtc2d2Nndy7kbAAAAoCwERAEAAAAoreX1tIDo9MRIVCqVnLsBAAAAAKBfTU2mBUQjIlbXt3PsBAAAACgTAVEAAAAASiv1guj05HDOnQAAAAAA0M+mEy+IRkSsJL7rBgAAAMpPQBQAAACA0lrJcEEUAAAAAADykmUxYeq7bgAAAKD8BEQBAAAAKKXtnd3Y2NpNqp2aFBAFAAAAACA/0xneO7sgCgAAALyKgCgAAAAApbSytp1cOyMgCgAAAABAjqYnMgREXRAFAAAAXkFAFAAAAIBSyjIwk2VQBwAAAAAAvs8FUQAAAKAdBEQBAAAAKKUsAzNTk8M5dgIAAAAAQL+bmkh/77yytp1jJwAAAECZCIgCAAAAUEpZAqIzLogCAAAAAJCjwYGBODSeFhJdWXdBFAAAAHg5AVEAAAAASinLwMzUpIAoAAAAAAD5mk5897yaYSEiAAAAUG4CogAAAACU0sradnJt6pAOAAAAAAC8yvRE2gXRZRdEAQAAgFcQEAUAAACglFYTB2YqlYhD42lDOgAAAAAA8Cqpywmfr2/HXrOZczcAAABAGQiIAgAAAFBKy2tpAdGpiZEYqFRy7gYAAAAAgH43PZEWEN3da8b65k7O3QAAAABlICAKAAAAQCmtJF4QTR3QAQAAAACA/UwlXhCNSF+KCAAAAJSbgCgAAAAApbSaOCwzPTmccycAAAAAABAxkyEgmvrOGwAAACg3AVEAAAAASmdvrxmrG9tJtdMZBnQAAAAAAOBVpibSFxSurAuIAgAAAD8kIAoAAABA6Tzf2I5mM612ekJAFAAAAACA/GVZULjigigAAADwEgKiAAAAAJROlkEZF0QBAAAAAGiHLAsKXRAFAAAAXkZAFAAAAIDSyTIo44IoAAAAAADtkCkguradYycAAABAWQiIAgAAAFA62S6IDufYCQAAAAAA/NHoyGCMDg8m1WZ57w0AAACUl4AoAAAAAKWTLSDqgigAAAAAAO2RuqRwZV1AFAAAAPghAVEAAAAASmdlfTu5dnpCQBQAAAAAgPZIXVLogigAAADwMgKiAAAAAJROlkGZKQFRAAAAAADaJHVJoQuiAAAAwMsIiAIAAABQOqmDMhOjQzE85JUZAAAAAADtkXpB9MX2Xmy92M25GwAAAKDoTLsBAAAAUDqpF0SnEgdzAAAAAACgFVOJF0QjIpZdEQUAAAC+R0AUAAAAgNJZTRySmZkYzrkTAAAAAAD4VzMZFhWuJi5HBAAAAMpLQBQAAACAUmk2m7G8tp1U64IoAAAAAADtNJVhUeGKgCgAAADwPQKiAAAAAJTKxtZu7OzuJdVOC4gCAAAAANBGWS6ILq8LiAIAAADfJSAKAAAAQKmsZhiQmZ4QEAUAAAAAoH2yLCpcdUEUAAAA+B4BUQAAAABKZTnDgIwLogAAAAAAtNNUhkWFK2vbOXYCAAAAlIGAKAAAAACl4oIoAAAAAAC9anJsKAYHKkm1KxnefwMAAADlJCAKAAAAQKlkuyA6nGMnAAAAAADwXZVKJaYm0t5FZ3n/DQAAAJSTgCgAAAAApbKwvJlcOz3pgigAAAAAAO2V+i46y/tvAAAAoJwERAEAAAAolaeNjeTa6uRojp0AAAAAAMAPVQ+lvYteXN2Mnd29nLsBAAAAikxAFAAAAIBSedpI26A+PTkSoyODOXcDAAAAAADf9UZ1PKmu2YxYWHFFFAAAAPhXAqIAAAAAlErqBdE3ZsZy7gQAAAAAAH4oy/vo1HfgAAAAQDkJiAIAAABQGmub27G+tZNUm7qxHQAAAAAAXkeW99HPGi6IAgAAAP9KQBQAAACA0sgyGHNEQBQAAAAAgA7IEhB1QRQAAAD4NgFRAAAAAEojy2DMG9WxHDsBAAAAAICXO5LhfbSAKAAAAPBtAqIAAAAAlEaWwZg3XRAFAAAAAKADxkaGYnpiOKn2aWMz524AAACAIhMQBQAAAKA0sl0QFRAFAAAAAKAzUt9JuyAKAAAAfJuAKAAAAAClkToYMzhQieqh0Zy7AQAAAACAl0sNiK5v7cTa5nbO3QAAAABFJSAKAAAAQGk8bWwm1R2ZGYuBgUrO3QAAAAAAwMsdSQyIRkQ8S3wXDgAAAJSPgCgAAAAApbC7txcLK2lDMamb2gEAAAAAIMUbM2PJtU8bGzl2AgAAABSZgCgAAAAApbC0shW7e82kWgFRAAAAAAA6Kct7aQFRAAAA4E8ERAEAAAAohafLaddDIwREAQAAAADoLAFRAAAAIA8CogAAAACUQpaBmDeqYzl2AgAAAAAA+5udGo3BgUpSrYAoAAAA8CcCogAAAACUQpaBmCMzLogCAAAAANA5AwOVODKTtrzwaWMz524AAACAohIQBQAAAKAUsl0QFRAFAAAAAKCzUt9NL6xsxt5eM+duAAAAgCISEAUAAACgFFI3pk+ODcXE2FDO3QAAAAAAwP5SA6K7e81YXHVFFAAAABAQBQAAAKAkUi+Iuh4KAAAAAEA3HKmOJdemLk0EAAAAykVAFAAAAIDC29jaiecb20m1AqIAAAAAAHTDGzPp76dTlyYCAAAA5SIgCgAAAEDhPVtO35QuIAoAAAAAQDdkeT8tIAoAAABECIgCAAAAUAJZBmGOVMdy7AQAAAAAAFojIAoAAABkJSAKAAAAQOFlGYRxQRQAAAAAgG6YGBuKybGhpNqnjc2cuwEAAACKSEAUAAAAgMITEAUAAAAAoIhS31E/W3ZBFAAAABAQBQAAAKAEUjelD1QqMTc1mnM3AAAAAADQmtSA6Or6dmxs7eTcDQAAAFA0AqIAAAAAFF7qBdG56dEYGvSKDAAAAACA7kgNiEZEPFtOW54IAAAAlIfpNwAAAAAKba/ZjGfLaQHRLIM3AAAAAACQ1ZHqWHJt6vJEAAAAoDwERAEAAAAotMbqVuzsNpNq38gweAMAAAAAAFllWWQoIAoAAAAIiAIAAABQaM+WN5NrXRAFAAAAAKCbBEQBAACALAREAQAAACi0LAMwAqIAAAAAAHTT3NRoDFQqSbVZFigCAAAA5SAgCgAAAEChfbMkIAoAAAAAQDENDQ7E3PRoUm2W9+MAAABAOQiIAgAAAFBoT5bWk2sFRAEAAAAA6LbUd9VPGxuxu7eXczcAAABAkQiIAgAAAFBojxfTAqJjI4MxOTaUczcAAAAAAPB6UgOiu3vNeLa8mXM3AAAAQJEIiAIAAABQWM1mM54sbiTVHp2biEqlknNHAAAAAADweo7OpQVEIyIeL6QtUQQAAADKQUAUAAAAgMJaWt2Kre3dpNq35iZy7gYAAAAAAF7fsQzvqx8vCogCAABAPxMQBQAAAKCwnmQYfMkycAMAAAAAAHnJ8r46y3tyAAAAoPgERAEAAAAorCyb0Y8KiAIAAAAA0APeqI7HQKWSVOuCKAAAAPQ3AVEAAAAACuuRC6IAAAAAABTc0OBAvFEdS6rN8p4cAAAAKD4BUQAAAAAK68niRnLt0bnxHDsBAAAAAIB0qUsNl5+/iI2tnZy7AQAAAIpCQBQAAACAwnq8uJZUNzs1GmMjQzl3AwAAAAAAaY4mBkQjIp4suSIKAAAA/UpAFAAAAIBC2t7Zi2fLm0m1qZvYAQAAAACgHY4dTn9v/XhBQBQAAAD6lYAoAAAAAIX0TWMjms20WgFRAAAAAAB6yVsZ3ls/XhQQBQAAgH4lIAoAAABAIWXZiH5UQBQAAAAAgB6S5b21gCgAAAD0LwFRAAAAAArp8eJacq0LogAAAAAA9JKZyZEYGxlMqhUQBQAAgP4lIAoAAABAIT1Z3EiuPXZYQBQAAAAAgN5RqVSSlxs+WdyIZrOZc0cAAABAEQiIAgAAAFBIqRvRhwYrcWR6LOduAAAAAAAgm9SA6Nb2bjSev8i5GwAAAKAIBEQBAAAAKKTUgOibsxMxMFDJuRsAAAAAAMgmNSAaEfF4YS3HTgAAAICiEBAFAAAAoHCeb2zH843tpNosAzYAAAAAANAuxw5nCIgmLlUEAAAAik1AFAAAAIDCyTLoIiAKAAAAAEAvyvL++pGAKAAAAPQlAVEAAAAACufxQvqgy9G58Rw7AQAAAACAfBydTQ+IPlncyLETAAAAoCgERAEAAAAonCwXRN+am8yxEwAAAAAAyMfoyGDMTo0m1T5eXMu5GwAAAKAIBEQBAAAAKJwnGQKixw6nb2AHAAAAAIB2OjaX9g772fJmbO/s5dwNAAAA0OsERAEAAAAonNQLopNjQ3FofDjnbgAAAAAAIB+pAdFmM+KbxkbO3QAAAAC9TkAUAAAAgELZ22vGk6W0IRfXQwEAAAAA6GWpAdGIiMcLacsVAQAAgOISEAUAAACgUBZWNmNndy+pNstgDQAAAAAAtFuWRYePF9dy7AQAAAAoAgFRAAAAAArl8WL6BnQBUQAAAAAAetnRDO+xnyxu5NgJAAAAUAQCogAAAAAUyuMFAVEAAAAAAMrpyPRYDA2mjXZmWbAIAAAAFJOAKAAAAACF8nhJQBQAAAAAgHIaGKjE0dnxpFoBUQAAAOg/AqIAAAAAFErqBdFKRLyZOFQDAAAAAACdcjRx2eHzje14vrGdczcAAABALxMQBQAAAKBQUjegH54Zi+GhwZy7AQAAAACAfB1LDIhGuCIKAAAA/UZAFAAAAIDC2HqxG0urW0m1xw6nD9QAAAAAAECnZAqILgiIAgAAQD8REAUAAACgMJ4spQ+2ZBmoAQAAAACATsmy8NAFUQAAAOgvAqIAAAAAFEaWwRYBUQAAAAAAiiDL++wnAqIAAADQVwREAQAAACgMAVEAAAAAAMru0PhwHBofTqp1QRQAAAD6i4AoAAAAAIUhIAoAAAAAQD9Ifaf9ZGkj9vaaOXcDAAAA9CoBUQAAAAAK4/FCWkB0ZHggqlOjOXcDAAAAAADtcXRuPKluZ3cvFlY2c+4GAAAA6FUCogAAAAAUQrPZjCdLaQHRY7MTMVCp5NwRAAAAAAC0R+oF0YiIx4tp79IBAACA4hEQBQAAAKAQVtZexMbWblLtscPpgzQAAAAAANBpx+Ymk2sfLwiIAgAAQL8QEAUAAACgELJsPD86KyAKAAAAAEBxHJsbT651QRQAAAD6h4AoAAAAAIXwKMNAiwuiAAAAAAAUyZuzE1GppNUKiAIAAED/EBAFAAAAoBCeZAmIzgmIAgAAAABQHMNDA3FkZiypVkAUAAAA+oeAKAAAAACF8HhBQBQAAAAAgP5xNPHd9tLqVmy92M25GwAAAKAXCYgCAAAAUAipG89nJkdifHQo524AAAAAAKC9siw/fLLkiigAAAD0AwFRAAAAAHrezu5ePG1sJtW6HgoAAAAAQBG9leH9durSRQAAAKBYBEQBAAAA6HlPGxux12wm1R47LCAKAAAAAEDxZFmA+HhBQBQAAAD6gYAoAAAAAD0vy6bzo7MCogAAAAAAFM/RLAHRJQFRAAAA6AcCogAAAAD0vCeLG8m1LogCAAAAAFBEs1OjMTo8mFTrgigAAAD0BwFRAAAAAHre48W15Nq3MmxYBwAAAACAbqlUKnF0bjyp9vHiejSbzZw7AgAAAHqNgCgAAAAAPS910/ngQCUOz4zl3A0AAAAAAHTGscQliJsvdmN57UXO3QAAAAC9RkAUAAAAgJ73eGkjqe6N6ngMDXoFBgAAAABAMaUGRCMiniymLV8EAAAAisN0HAAAAAA9bX1zJ1YSt5xnGZwBAAAAAIBuy/Ke+5GAKAAAAJSegCgAAAAAPe1xhgEWAVEAAAAAAIrsaIb33I8XBEQBAACg7AREAQAAAOhpT7IERA8LiAIAAAAAUFxZFiFmeb8OAAAAFIOAKAAAAAA97ZELogAAAAAA9Knx0aGYOTSSVPtYQBQAAABKT0AUAAAAgJ6WZYDlqIAoAAAAAAAFd2w27V3308Zm7Ozu5dwNAAAA0EsERAEAAADoaV998zypbnx0KKYnhnPuBgAAAAAAOuvY4bSA6F6zGQ+freXcDQAAANBLBEQBAAAA6Fnrm9vJF0SPzU1EpVLJuSMAAAAAAOisY3NpAdGIiHuPVnLsBAAAAOg1AqIAAAAA9Kx7j1eTa99K3KgOAAAAAAC9JMv7bgFRAAAAKDcBUQAAAAB6Vv1h+uDKyWNTOXYCAAAAAADdceLYdHJtlvfsAAAAQO8TEAUAAACgZ93LMLhy6nj6wAwAAAAAAPSKmcmRODw9llT79bO12Hyxk3NHAAAAQK8QEAUAAACgJzWbzag/SguIDg5U4kdvHsq5IwAAAAAA6I7UpYjNZsSDx6s5dwMAAAD0CgFRAAAAAHrS0upWrKy9SKp9581DMTw0mHNHAAAAAADQHbW30gKiERH3HgmIAgAAQFkJiAIAAADQk+oP066HRqRvUgcAAAAAgF506q2p5Nr6o/T37QAAAEBvExAFAAAAoCdlGVjJskkdAAAAAAB6zYljU1GppNXey7CQEQAAAOhtAqIAAAAA9KQsAys1F0QBAAAAACiRsZGhePvIoaTahZXNWF57kXNHAAAAQC8QEAUAAACg5+ztNeP+49Wk2vHRwTg6N5FzRwAAAAAA0F2141PJta6IAgAAQDkJiAIAAADQcx4urMXW9m5S7clj0zFQqeTcEQAAAAAAdNept6aTa+uPBEQBAACgjAREAQAAAOg5WTaZ146nD8gAAAAAAECvyhIQvScgCgAAAKUkIAoAAABAz8kyqJJlQAYAAAAAAHrV229MxshQ2tjnvYcr0Ww2c+4IAAAA6DYBUQAAAAB6Tt0FUQAAAAAA+I7BgYE4cWwqqXZ9aye+WdrIuSMAAACg2wREAQAAAOgpW9u78dXTtaTa2anRqB4azbkjAAAAAADoDVmWJGZZzggAAAD0JgFRAAAAAHrKF09WY6/ZTKqtveV6KAAAAAAA5XUqw3vw+iMBUQAAACgbAVEAAAAAesq9DBvMT2XYnA4AAAAAAL0uy6LEewKiAAAAUDoCogAAAAD0lCwbzLNsTgcAAAAAgF53eGYspiaGk2q/eLIaO7t7OXcEAAAAdJOAKAAAAAA9pZ54QbQSESePTeXbDAAAAAAA9JBKpZK8LHFntxlffvM8544AAACAbhIQBQAAAKBnrKy/iGfLm0m1x49MxvjoUM4dAQAAAABAb6klBkQjIu49SlvSCAAAAPQmAVEAAAAAesb9DIMpqRvTAQAAAACgSE4dT38fXn8oIAoAAABlIiAKAAAAQM/IMpiSZSAGAAAAAACKIsvCRBdEAQAAoFwERAEAAADoGfcerSbX1lwQBQAAAACgDxwaH443Z8eTah8trMf65k7OHQEAAADdIiAKAAAAQE9oNpvJm8uHhwbi7Tcmc+4IAAAAAAB6U5alifcfuyIKAAAAZSEgCgAAAEBPeNrYiOcb20m1J45OxdCgV10AAAAAAPSHUxkCoqnLGgEAAIDeY2oOAAAAgJ5QzzCQkmUQBgAAAAAAiubU8fT34vWHAqIAAABQFgKiAAAAAPSEew9Xk2tPHZ/KsRMAAAAAAOhtP3rzUAwOVJJq649Wotls5twRAAAA0A0CogAAAAD0hHsZLojWXBAFAAAAAKCPjAwPxl+8eSipdvn5i1ha3cq5IwAAAKAbBEQBAAAA6Lqd3b148CTtgujk2FC8UR3PuSMAAAAAAOhtWZYnZlnaCAAAAPQOAVEAAAAAuu7rp2uxvbOXVHvq+HRUKpWcOwIAAAAAgN52KkNAtC4gCgAAAKUgIAoAAABA12UZRMmyIR0AAAAAAIrq1PEMF0QfCogCAABAGQiIAgAAANB1WQZRahkGYAAAAAAAoKjempuIsZHBpNr7j1djb6+Zc0cAAABApwmIAgAAANB19zJcED3pgigAAAAAAH1oYKASJ49NJdVuvtiNRwtrOXcEAAAAdJqAKAAAAABdtbG1Ew+fpQ2hHJkZi+mJkZw7AgAAAACAYqgdn0murWdY3ggAAAD0BgFRAAAAALrqwePVaCbW1o67HgoAAAAAQP869Vb6e/J7j1Zz7AQAAADoBgFRAAAAALoqy4byWobBFwAAAAAAKLosixTvPXRBFAAAAIpOQBQAAACArsoygHLKBVEAAAAAAPrY7NRoVA+NJNV+9fR5vNjezbkjAAAAoJMERAEAAADoqtQLogOVSvzo6FTO3QAAAAAAQLGceittmeLuXjO++OZ5zt0AAAAAnSQgCgAAAEDXLK1uxdLqVlLtX7wxGaPDgzl3BAAAAAAAxVI7nhYQjYioP0xb4ggAAAD0BgFRAAAAALrmfuL10IiIUxkGXgAAAAAAoCxqiRdEIyLuZXhPDwAAAHSfgCgAAAAAXVPPEhDNMPACAAAAAABlceLYdFQSa++5IAoAAACFJiAKAAAAQNfUMwye1FwQBQAAAACAmBgbimOHJ5Jqv2lsxPON7Zw7AgAAADpFQBQAAACArthrNuP+47SA6OjwYBw/PJlzRwAAAAAAUEy1t9KXKt575IooAAAAFJWAKAAAAABd8WRxPTa2dpNqTx6bioGBSs4dAQAAAABAMZ06niEg+lBAFAAAAIpKQBQAAACArqhnGDjJMugCAAAAAABlcyrDBdG6C6IAAABQWAKiAAAAAHTFvQwDJ7UMgy4AAAAAAFA277x5KIYG00ZC6w9Xotls5twRAAAA0AkCogAAAAB0RZYLojUXRAEAAAAA4M+GBgfixNFDSbXPN7bj2fJmzh0BAAAAnSAgCgAAAEDHbe/sxpffPE+qnZkcidmp0Zw7AgAAAACAYjv1VvpyxXuP0pc6AgAAAN0jIAoAAABAx33xzfPY3Wsm1Z56azoqlUrOHQEAAAAAQLGdOp4eEK0/FBAFAACAIhIQBQAAAKDj7mUYNMky4AIAAAAAAGVVc0EUAAAA+o6AKAAAAAAdl2XQJMuACwAAAAAAlNWbs+MxOTaUVPvg8Wrs7u3l3BEAAADQbgKiAAAAAHRcPcsF0bemcuwEAAAAAADKoVKpxKnEJYsvdvbi66drOXcEAAAAtJuAKAAAAAAd9XxjO54sbSTVHpubiImx4Zw7AgAAAACAckgNiEZE1B+lL3cEAAAAukNAFAAAAICOuv84y/XQ9MEWAAAAAAAou1PH09+j33soIAoAAABFIyAKAAAAQEdlGTCpZRhsAQAAAACAssuyaPGeC6IAAABQOAKiAAAAAHTUvUerybUuiAIAAAAAwKvNTI7E4emxpNqvn63F5oudnDsCAAAA2klAFAAAAICOaTabUU/cQD40WIl33jyUc0cAAAAAAFAup46nLVtsNiMePE5f8ggAAAB0noAoAAAAAB3zTWMjVtZeJNW+8+ZUDA95nQUAAAAAAPupvZUWEI2I+MNXyzl2AgAAALSbiToAAAAAOuaz+0vJtVkGWgAAAAAAoF/UEi+IRkR89iD9PT4AAADQeQKiAAAAAHTM3fuLybWnjk/l2AkAAAAAAJTTiaNTUamk1f7hq0Zsbe/m2xAAAADQNgKiAAAAAHTEXrOZafN47fhMjt0AAAAAAEA5jY4MxjtvHEqq3dltxr98tZxzRwAAAEC7CIgCAAAA0BFfPnkea5s7SbWzU6NxdHY8544AAAAAAKCcfnJiNrn27oPFHDsBAAAA2klAFAAAAICOuHs/faDkzInZqFQqOXYDAAAAAADldeZkhoDo/aUcOwEAAADaSUAUAAAAgI7IFBA9OZdjJwAAAAAAUG7/5p1qDA6kLV784vFqPN/YzrkjAAAAoB0ERAEAAABou+2d3fjDV8vJ9e9m2HQOAAAAAAD9ZmxkKE4fn06qbUbE7x64IgoAAABFICAKAAAAQNv9y9cr8WJnL6n2+JHJqB4azbkjAAAAAAAot3dPziXX3hUQBQAAgEIQEAUAAACg7e7eX0yuPXPC9VAAAAAAAHhdZ06mv1/P8l4fAAAA6BwBUQAAAADa7u799E3jZzJsOAcAAAAAgH516q3pGB0ZTKr9Zmkjni1v5NwRAAAAkDcBUQAAAADaan1zO+4/XkmqHahU4q9+VM23IQAAAAAA6ANDgwPxV+9Uk+s/y7D8EQAAAOgMAVEAAAAA2up3XzSi2UyrPXV8KsZHh/JtCAAAAAAA+sSZk3PJtXcfCIgCAABArxMQBQAAAKCt7t5fTK49cyJ9cAUAAAAAAPrdmZOzybWf3V+MZuoGSAAAAKAjBEQBAAAAaKvPMmwYzzK4AgAAAAAA/e7tI5MxPTmSVLuyvh1fP13LuSMAAAAgTwKiAAAAALTN4spmPFpYT6odGR6I02/P5NwRAAAAAAD0j0qlEmdOpC9jvHt/McduAAAAgLwJiAIAAADQNlmuh/6bd6oxNOj1FQAAAAAAZPHuyQwB0Qzv+QEAAID2M2EHAAAAQNtk2Sx+5sRcjp0AAAAAAEB/yvK+/f/9ohE7u3s5dgMAAADkSUAUAAAAgLZoNpuZNoufybDRHAAAAAAA+KPDM2NxdHY8qXZrezfqD1dy7ggAAADIi4AoAAAAAG3xcGE9lp+/SKo9ND4cf/HmoZw7AgAAAACA/nTmZPoV0bv3F3PsBAAAAMiTgCgAAAAAbZFlYOTMydkYqFRy7AYAAAAAAPrXmZOzybV3Hyzl2AkAAACQJwFRAAAAANris/vpAyNZNpkDAAAAAADf9ZMTs5G6lvHew5XY2NrJtR8AAAAgHwKiAAAAAORud28vfvdFekD03RPpm8wBAAAAAIDvmhwbjhPHppJqd/ea8fsvG/k2BAAAAORCQBQAAACA3N17tBqbL3aTat+ojsUb1fGcOwIAAAAAgP525uRccu3d++lLIQEAAID2ERAFAAAAIHd37y8m12YZUAEAAAAAAF7uzMnZ5Nq7D9Lf+wMAAADtIyAKAAAAQO4+y7BJ/N0T6QMqAAAAAADAy/3l2zMxNJg2Nvr107VYfr6Vc0cAAABAVgKiAAAAAORq68Vu/MvXy8n1AqIAAAAAAJC/keHB+PFfzCTXf/YgfTkkAAAA0B4CogAAAADk6vdfNWJ3r5lU+6Ojh2JqYiTnjgAAAAAAgIiIMyfTlzTevS8gCgAAAL1GQBQAAACAXH2WYUDkzMm5HDsBAAAAAAC+Lct7+LsPFqPZTFsQCQAAALSHgCgAAAAAubp7fzG59syJ9M3lAAAAAADA/k4cnYqJ0aGk2sWVrfhmaSPnjgAAAIAsBEQBAAAAyM3K+ov44pvnSbVDg5X48V9U820IAAAAAAD4s4GBSrybYVljliWRAAAAQP4ERAEAAADIze8eLCXX/uXbMzE6MphjNwAAAAAAwPedOZklIJr+7wAAAABA/gREAQAAAMhNlsGQLBvLAQAAAACA1rx7ci659ndfLMXeXjPHbgAAAIAsBEQBAAAAyM3d+4vJtWcyDKQAAAAAAACtOTo7HnPTo0m1a5s78eDJas4dAQAAAKkERAEAAADIxTeNjXi2vJlUOz46GCffmsq5IwAAAAAA4PsqlUqcOZG+tDHLskgAAAAgXwKiAAAAAOTiswwDIT/50WwMDnhVBQAAAAAAnXDm5Gxy7WcPlnLsBAAAAMjC1B0AAAAAubh7P30g5N0T6YMoAAAAAADA68nyXv73Xy7Hi+3dHLsBAAAAUgmIAgAAAJDZXrOZaWP4mZNzOXYDAAAAAADsZ+bQaLz9xmRS7c7uXvzL18s5dwQAAACkEBAFAAAAILMvnzyP5xvbSbXVQyPx1uGJnDsCAAAAAAD2c+ZE+vLGu/fTl0YCAAAA+REQBQAAACCzLNdD3z0xF5VKJcduAAAAAACAg7x7cja59rMHizl2AgAAAKQSEAUAAAAgs7v30wdBzmQYQAEAAAAAANL81TvVGEhc4Hj/0WqsbW7n3BEAAADwugREAQAAAMhke2cvfv9lI7n+zMm5/JoBAAAAAABaMj46FLW3p5NqmxHxuwdL+TYEAAAAvDYBUQAAAAAyqT9cjhc7e0m1bx2eiNmp0Zw7AgAAAAAAWnHmxGxy7V0BUQAAAOg6AVEAAAAAMvmv99MHQM6ccD0UAAAAAAC65czJ9Pf0dzP8+wAAAACQDwFRAAAAADL57P5icu2Zk+mbyQEAAAAAgGxqx6djdHgwqfbJ4nosLG/m3BEAAADwOgREAQAAAEi2vrkT9UcrSbWVSsRf/UhAFAAAAAAAumVocCD+6kfV5Pr/j71/6676Su9E/2dJQpxhIQ7CBoyQfABRJ0vYqI5Op6B3dnbSSVdB5b8v+jLwDmDUK6gB7wD6cl/sUTGpJN3pdKeR+192nYQB2XVA4ANCYGMjDpI4g05rX1RcXVUGJOZvSlqSPp8xclGs9cz1RYxRUa3f/M7ZczH9EEkAAACgOAVRAAAAAJK999FgVCpps1ueWRFLFtXlDQQAAAAAADyVbZvTD3M8e3EwYxIAAADgaSmIAgAAAJCspy9940drk9tDAQAAAABgprU2NSTP9vQNRiX1JEkAAACgMAVRAAAAAJL19A0kz7ZuTt9wAgAAAAAA5LFh7dJYsWRB0uytu8Nx+frdzIkAAACAyVIQBQAAACDJ4O2H8emNe0mz9XU10bJhZeZEAAAAAADA06oplWLr5lXJ82f7BjOmAQAAAJ6GgigAAAAASc5eTL899IVN5VhQ56spAAAAAACoBq1NDcmzPX3pzwsAAACAYuzCAwAAACBJT4ETwVub0k8iBwAAAAAA8iryvf25j4ZidGw8YxoAAABgshREAQAAAHhqlUql0IngrZvTTyIHAAAAAADyWrNycaxbtThp9uHwWFz49FbmRAAAAMBkKIgCAAAA8NSuDNyLoTvDSbPLFi+ITY3LMicCAAAAAACKaN2cfovo2b7BjEkAAACAyVIQBQAAAOCp9RTY6LF186qoKZUypgEAAAAAAIpqbWpInu3pG8iYBAAAAJgsBVEAAAAAnlqRjR6tTeknkAMAAAAAAFNj6+ZVkXq84/lPbsWD4dGseQAAAICJKYgCAAAA8FTGxsfj3KWh5PnWzQqiAAAAAABQbZYtXhDPNS5Pmh0br8T7H93MnAgAAACYiIIoAAAAAE+l78rtuP8w7RTwNSsXxdry4syJAAAAAACAHFqb0g957OkbyJgEAAAAmAwFUQAAAACeSk/fYPJsa9OqKJVKGdMAAAAAAAC5tDY1JM8WeX4AAAAApFEQBQAAAOCpnC1wAniRjSUAAAAAAMDUemHjyqirTdta+vG1O3Hr7nDmRAAAAMCTKIgCAAAAMGkPR8biw8s3k+e3bl6VMQ0AAAAAAJBT/YLaeH7DiuT5sxfdIgoAAADTSUEUAAAAgEn74OOhGB2rJM1uWrcsViypz5wIAAAAAADIqbWpIXm2p28gYxIAAABgIgqiAAAAAExaT1/6yd+tTW4PBQAAAACAalesIDoYlUraQZMAAADA01MQBQAAAGDSzhYoiG7bnL6hBAAAAAAAmB5N65fH4oV1SbM3bj2Ia0P3MycCAAAAHkdBFAAAAIBJuX1vOC71306ara0pxYubVmZOBAAAAAAA5FZTU4qtz5WT53sKHDYJAAAAPB0FUQAAAAAm5dyloagkzrZsWBmL6tNOGwcAAAAAAKZXa1ND8mxP30DGJAAAAMCTKIgCAAAAMClFNnS0Nq3KmAQAAAAAAJhKRb7XP3txMMYrqUdOAgAAAE9DQRQAAACASTnbN5g827o5/aRxAAAAAABgeq1vWBKrli9Mmr37YDQ+6r+TOREAAADwKAqiAAAAAEzo2tD9uDp0P2l2UX1tND2zPHMiAAAAAABgqpRKpWjdnH6LaE/fQMY0AAAAwOMoiAIAAAAwobMX028P3frcqqir9TUUAAAAAADMJq1NDcmzCqIAAAAwPezMAwAAAGBCRTZybCtwwjgAAAAAADAzthb4fv+Dj2/GyOhYxjQAAADAoyiIAgAAAPBE45VKoRtEW5sURAEAAAAAYLZZtXxhPLtmadLs8Oh4fHj5VuZEAAAAwB9TEAUAAADgiT6+eidu3xtJml25tD558wgAAAAAADCzWgvcItrTN5AxCQAAAPAoCqIAAAAAPFFPX7HbQ0ulUsY0AAAAAADAdGltakieLfJ8AQAAAJgcBVEAAAAAnujsxfQNHNs2p28cAQAAAAAAZtZLz5WjJvEgyL4rt+Leg5HMiQAAAIDfpyAKAAAAwGONjo3Hex8Vu0EUAAAAAACYnRYvrIstzy5Pmq1UIs5dGsobCAAAAPgDCqIAAAAAPNb5yzdjeGQ8aXZ9w5JoWLEocyIAAAAAAGA6tW5uSJ7t6RvImAQAAAD4YwqiAAAAADzW2Yvpt4duc3soAAAAAADMeq0Fvu8v8pwBAAAAmJiCKAAAAACP1dOXvnGjyIniAAAAAABAdWh+dmXUL0jbbvrpjXsxcOtB5kQAAADAZxREAQAAAHik+w9Ho/eTW0mzpVLE1s3lvIEAAAAAAIBpt6CuJl7cVE6ed4soAAAATB0FUQAAAAAe6b1LQzFeqSTNNq1fEUsXLcicCAAAAAAAmAmtmxuSZ3v6BjImAQAAAH6fgigAAAAAj9RzMX3DRmvTqoxJAAAAAACAmVTke/+ei4NRSTyQEgAAAHgyBVEAAAAAHuls32DybOtmBVEAAAAAAJgrNq5bFssWL0iavXlnOD65cS9zIgAAACBCQRQAAACARxi68zAuX7+bNLugriae37gycyIAAAAAAGCm1JRKxW4R7RvImAYAAAD4jIIoAAAAAJ9z9mL67aEvbFwZC+pqM6YBAAAAAABm2rbN6QXRs33pzx0AAACAx1MQBQAAAOBzipzk3drUkDEJAAAAAABQDYp8/3/u0mCMjY9nTAMAAABEKIgCAAAA8EcqlUr0FDjJu7Up/QRxAAAAAACgOq0tL4615UVJsw+Gx+LCp7czJwIAAAAURAEAAAD4A1cG7sXg7YdJs0sX1cVz65ZnTgQAAAAAAFSDbZvTbxHt6RvImAQAAACIiKib6QCTdezYsTh58mR0d3dHb29vDAwMxNDQUERElMvlaG5ujh07dkR7e3t873vfi3K5PKN5Z0J3d3d0dnbGyZMno7e3N4aGhv7g59Tc3Py7n9Urr7wSu3btira2tpkNDQAAAFSdsxfTbw/dunlV1NSUMqYBAAAAAACqRWvTqnjrl58kzZ7tG4z/8PUtmRMBAADA/FbVBdHu7u74wQ9+EMeOHXvi+4aGhqK7uzu6u7sjImL//v3R1tYW3//+92PPnj3TEXXGHDt2LI4cORKdnZ0Tvre3tzcifvtz/f2f6b59+373MwMAAADo6UsviLY2pZ8cDgAAAAAAVLdtm1clz354+WY8HB6LhfW1GRMBAADA/FYz0wEepbu7O9rb26O9vX3CcuiT1ti7d2+0tLRMqjw52xw+fDhWrVoVe/fuLfz3O3r06O9+3p+VSAEAAID5aXy8EucK3CDa2pS+MQQAAAAAAKhuy5fUx3ONy5Jmx8Yr8f7HQ3kDAQAAwDxXdTeIHjx4MA4fPvzY18vlcuzYsSPa2tqipaUlzp8/H93d3XHq1KkYGhr63Pt7e3tj9+7dsW/fvjhy5MgUJp8enxVfn1TkbG5ujl27dkVLS0s0Nzf/7s97e3vj5MmT0dnZ+cifVXd3d7S0tMSBAwfi0KFDUxEfAAAAqHIX+2/HvYejSbOrVyyMdeXFmRMBAAAAAADVpHVzQ1zqv5M0e7ZvML7YvDpzIgAAAJi/qqogunv37ifehnno0KE4cODAY18/fPhw/OAHP3hk+fHo0aNx6tSpeOONN6JcLmdIO/2OHj0a+/fvf+zr+/bti4MHD/5BKfRxOjs74+DBg9Hd3f251w4fPhzd3d1x/PjxQnkBAACA2aenbyB5dltTQ5RKpYxpAAAAAACAatPatCr+x9uXkmaLPIcAAAAAPq9mpgNERAwNDUV7e/tjy6HNzc0xODj4xHJoRMSBAwdicHAw2traHvl6d3d3tLe3P7JAWu0OHz782HJoc3NznD59Oo4cOTKpcmhExK5du+L06dOPvSm0s7Mz2tvbk/MCAAAAs1NP32DybGvTqoxJAAAAAACAavTCxnLU1aYdGHnp6p24dW84cyIAAACYv6qiIPrtb3/7kTdZRkSUy+U4ffr0U936+cYbbzy2JNrb2zvrSqLHjh2LgwcPPvK1z8qhj/v7TuTAgQOPLYl2d3fH3r17k9YFAAAAZp/hkbH44OObyfPbNjdkTAMAAAAAAFSjhfW10fLsyuT5cxfTD6sEAAAA/tCMF0T37t372HJoRDx1OTTit6XSN95447Fzvb29s6b4ODQ0FH/7t3/72NePHz/+1D+fP3bgwIHYtWvXI187duxYHDt2rND6AAAAwOzwweWbMTo2njS7ce3SWLm0PnMiAAAAAACgGrU2rUqe7elTEAUAAIBcZrQgOlH58MCBA9Hc3Jy0drlcfuzNmBERnZ2dcfjw4aS1p9Pf/u3fPva203379iX/fP7Yk35WTyqoAgAAAHNHT99A8mxrk9tDAQAAAABgvijyXKDI8wgAAADgD81oQfRJxcNyuRzf//73C60/UYHy4MGDjy1fVoOhoaEnFmgPHjyY7bPa2tqira0tKQcAAAAwNxQ5sbvISeEAAAAAAMDs0vTM8li8sDZp9vrNB3F16H7mRAAAADA/zVhBdKJy5ve///0ol8uFP+fIkSMT5qhWR48efexr5XI52+2hn9m1a9djX5vo5wgAAADMbnfuj8SlK7eTZmtrSvHipnLeQAAAAAAAQNWqramJlzalHx551i2iAAAAkMWMFESHhobi8OHDT3zPvn37snzWrl27nlg0PXr0aPT29mb5rNx++MMfPva1HTt2ZP+8V1555bGvnTp1KvvnAQAAANXj3MXBqCTONj+7IhbV12XNAwAAAAAAVLfWpvSCaE/fYMYkAAAAMH/NSEH0Bz/4wRNfb2try3J76Ge+973vPfH1/fv3Z/usnJ5UXM358/nMk24kfdJtrwAAAMDs13MxfSNGa1NDxiQAAAAAAMBsUOT5wNmLgzFeST26EgAAAPjMtBdEJ3N7aO7C5t69e5/4emdnZ3R3d2f9zByqrZRZrTetAgAAAMX19A0kz27bnH5COAAAAAAAMDs9s3pJrFxWnzR75/5IfNR/J3MiAAAAmH+mvSD6d3/3dxO+Z6IbP5/Wrl27Jrxx84c//GHWzyxqonLoVJQ1BwaevBG0ocFtIAAAADAXXb95P64O3k+aXVhfG83PrsicCAAAAAAAqHalUilaNxe7RRQAAAAoZtoLokeOHHni683NzROWOVPs2LHjia8fPXo0+2dOpam48XSiUupU/LsAAAAAM+9sX/oGjJc2laOudtq/YgIAAAAAAKpAa9Oq5NmevidfagEAAABMbFp37w0NDU1YbGxra5uSz55o3clkm06TKWN2dnZm/cwn3UqqHAoAAABzV0+BE7pbm9JPBgcAAAAAAGa3Is8J3v9oKEZGxzOmAQAAgPlnWguif/d3fzfhe1555ZUp+ezJrDvR7abVJnfe8+fPP/a1iW5gBQAAAGanSqUSZwuc0N26Of1kcAAAAAAAYHZbtXxhPLN6SdLs8Oh49H5yM3MiAAAAmF+mtSD6+uuvT/iembpBNGJyBdbpNFHmY8eOZb319Ek3ku7duzfb5wAAAADV4/K1u3Hr3kjS7IolC2LD2qWZEwEAAAAAALNJ6+b0W0TP9A1mTAIAAADzz7QWRJ9UQPzMVN1U2dzcPOF7hoaGore3d0o+P8WuXbsmfM/evXtjaGio8Gf19vY+9u9eLpdj3759hT8DAAAAqD49RW4PbWqIUqmUMQ0AAAAAADDbtDatSp49W+A5BQAAADCNBdHJFi/L5fKUZZhMSbSaCqJ/8zd/M+F7ent7s9zueejQoce+9v3vf7/w+gAAAEB16rmYfjL3ts3pGz4AAAAAAIC54aXnypF6nmTvp7fi3oPRvIEAAABgHpm2gmh3d/eE75lMgbOIyaw/mZzTpa2tbVKZOzs7Y/fu3cmf09vbG0ePHn3ka7t27YoDBw4krw0AAABUr/sPR+NsgYJoa1NDxjQAAAAAAMBstGTRgtjyzIqk2Uol4lfnr2dOBAAAAPNHVd0gWg0F0ZMnT05phqd15MiRSb2vs7Mz2tvbY2ho6Kk/43E3kDY3N8frr7/+1OsBAAAAs0P3+9diZHQ8abZx1eJYvXJR5kQAAAAAAMBs1Nq0Knm2q6c/YxIAAACYX6atIDqZ4mW5XJ7SDJNZv5puEI347Q2ee/bsmdR7u7u7Y8uWLdHZ2Tnp9ffv3//Iv3NbW1ucPn16yv9NAAAAgJlTZMOF20MBAAAAAIDPtG5Of27wm96BuHVvOGMaAAAAmD/qpuuDJlO8nOobRFtaWiZ8z2RuOp1ur7/+erS0tEwq29DQUOzevTv27ds34e2j+/fvj6NHj37uz/fs2ePm0Kd08WJv1NaWPvfnNTWlWL588SNntm/fHhHxb3PT1tUGAGCOe9TvpY9+j99BYb67eedh9PQNJM9vb26I2lr/XQKA30EBAJh+fgcFgOrz4nOror6uJoZHx596drxSie73r8e32zdOQTLIw++gAABMN7+Dzrxz53qe6v0XL85ML3HaCqKTKTeuXr16SjM0NEzuhKre3t4pL6s+rePHj0d7e3sMDQ1N6v1Hjx6Nzs7OOHLkSOzatesPXhsaGoq9e/c+8qbRI0eOxL59+3JEnlf+03/6v596plKpRETEypVLcscBAIAn8jsoEBHxszP98W//0/Sp1dWW4utf2RjLltTnDQXAnOV3UAAAppvfQQFg+n35xbVxsqc/afbUe1dj7+6XMieC6eV3UAAAppvfQafW17/+6kxHmJSqqgiXy+WqWH+yJczp1NzcHKdPn36qn1Fvb2/s3r079u/f/7u/U2dnZ2zZsuVz5dA9e/bE4OCgcigAAADME292f5w82761UTkUAAAAAAD4A996Of0G0J4LA3F14F7GNAAAADA/TEtBtFoKl5O9QXRgYGCKk6RJKYlG/PY20S1btsTevXtj9+7df/Dv8dmar7/++pQXdAEAAIDq8On1u/HepcHk+T9pT9/gAQAAAAAAzE0d29fHwvra5Pk330k/3BIAAADmq2kpiE62cDnZAudUq5ZC66M0NzfHhQsXYteuXU81NzQ0FMeOHfvdfy6Xy3HkyJE4f/58tLW15Y4JAAAAVLG3CmywWLywNl5pXZ8xDQAAAAAAMBcsWlgXHdufSZ5/653LGdMAAADA/DCvbhCd7A2Z1XqD6GfK5XIcP348Dhw4kLzG9773vdi3b1/GVAAAAMBsUKlU4sfd6QXRr37x2Vi4IP30bwAAAAAAYO56rW1D8mzfp7ei79NbGdMAAADA3DctBdHJmmyBc6pVS6F1IocOHYrjx48n/dyOHj0aLS0t0d3dnT8YAAAAULV6L9+Mj6/eSZ5/rW1jxjQAAAAAAMBc8vJL62L5kvrk+TcLHHIJAAAA89G0FESr5UbOhoaGSb3vxo0bU5wkn127dsWFCxeira3tqWd7e3ujvb099u/fP2tKsQAAAEAxb75zOXm2vGxhfPn5NRnTAAAAAAAAc0ldbU184yvPJs+/9c7HMT5eyZgIAAAA5raqukF0sgXOqTbbypLlcjlOnz6dfAPr0aNHY8uWLW4TBQAAgDlufLwSb72TfvL2N77ybNTWVtXXSQAAAAAAQJV57eWNybNXB+/HuYvVcSkJAAAAzAZ1Mx3g91XLTaOpRcuZ0t3dHXv37i1UbB0aGor29vY4cOBAHDp0KF+4eeL/+X/+32hubvncn9fUlGL58sVPnL15816MjTnxDACAPGprS7Fy5ZInvsfvoDB/nb04EDduPkief/n5NTEwcDdjIgDmAr+DAgAw3fwOCgDVrXHlwlizclFcT3wm8a8/74v1KxdlTgXF+B0UAIDp5nfQmfezn739VO/v7T0f/+k//d9TlObxpqUgWi03g062gLp69eopTpLP4cOH4+DBg3/wZ21tbfE3f/M3n/vzya7X2dkZb7zxxqwrys6kzZub44UXtn7uz2tra6KhYekTZ8fGKjE2Nj5V0QAAmHcmvtnP76Awf/3811eSZ9eWF0VT4zL//QHAI/gdFACA6eZ3UACodq9ua4x/6bqYNPv22f74/337+airnfj/58P08TsoAADTze+gM+1RXbEnmamy7rT8r+fJFg2L3ICZ02woRvb29kZ7e/vnSqB79uyJ06dPx4EDB+L8+fPR1tb21Gt3d3dHe3t79Pb25ooLAAAAzLCR0fE4/d7V5PmdreujVCplTAQAAAAAAMxVHa2NybN37o9ET9/kLgQBAACA+W5eHa802QJqtdx4+jhHjx6NlpaW6O7u/oM/P3DgQLz++uu/+8/Nzc2/K4s+rc8KqH/8GQAAAMDs9JsLN+Lug9Hk+SIbOQAAAAAAgPll47plsWHt0uT5rjP9GdMAAADA3DUtBdHJFi4HBpz4NJG9e/fG/v37P/fnhw4dikOHDj1y5tChQ3H69Olobm5+qs8aGhqKb3/7224SBQAAgDmgyEaK59Yti2fXpG/iAAAAAAAA5p8ih092f3AtHg6PZUwDAAAAc9O0FETL5fJ0fMyEJltArZa8v29oaCja29vj2LFjn3vtwIEDE94S2tbWFufPn499+/Ylfe5kb18FAAAAqs/9h6Px7ofXk+c7tq/PmAYAAAAAAJgPdm5LL4gOj4zHOx9ey5gGAAAA5qZpKYhGTK50WS0lxKe9aXOqfVbS7O7u/txru3bteuzNoY9y5MiROH78+FOVYIeGhmLv3r2Tfj8AAABQXd754FqMjI4nzZYi4tVt6/IGAgAAAAAA5rw15cXx/MaVyfNdZ/ozpgEAAIC5adoKopMpXd64cWNKM/T29k7qfdVUEB0aGootW7Y8Mntzc3McP378qdfctWtXnD59+qn+np2dnXH06NGn/iwAAABg5nX1pG+geHFTORpWLMqYBgAAAAAAmC++2pp+i+iZCwNx+95wxjQAAAAw90xbQXTHjh0TvmeyBc5Uk7mhtJrKoRER3/72tx+b+/XXX09et7m5OU6fPh1tbW2Tnjl48GDy5wEAAAAz49bd4ei5MJg837E9feMGAAAAAAAwv+3Yui5qa0pJs2PjlTj13rXMiQAAAGBumbaCaEtLy4TvmeqC6Pnz5yd8z9MUJqfa4cOHo7u7+5Gv7dmzp3DWcrn8VCXRoaGhOHbsWKHPBAAAAKbXyXNXY7xSSZqtrSlF+0vrMicCAAAAAADmi+VL6mP7lobk+RNnrmRMAwAAAHPPtBVEJ3Mz52Ru+CxiMgXUarlBdGho6Ik3du7fvz/bZ50+fXrSf+8f/OAH2T4XAAAAmHpdPekbJ77YvDqWLV6QMQ0AAAAAADDf7GxtTJ59/+Obcf3m/YxpAAAAYG6ZtoLoZG6pnOobRAcGBiZ8zyuvvDKlGSbrSUXMcrkcu3btyvp5x48fn9T7HnejKQAAAFB9rg7dj/OXbyXPd2xP37ABAAAAAAAQEfHyC2uifkH6dtW3z17NmAYAAADmlmm9QbRcLk/4vqm8RXQyBdTcxctUx44de+xrO3bsyP55zc3NceTIkUm9V0kUAAAAZocTPf3Jswvra+PLz6/JmAYAAAAAAJiPFtXXxcsvrE2e7zqT/rwDAAAA5rppK4hGTK58eerUqSn57KGhoQnLp21tbZMqsU61oaGhJ5ZZJ3Mba4p9+/ZN6u8/Vf9GAAAAQD6VSiW6zlxJnm97YW0sXFCbMREAAAAAADBf7WxtTJ79+Nqd+PjanYxpAAAAYO6Y1oLo7t27J3zPVN1O2dnZOeF7quX20IkKmC0tLVP22d///vcnfM9U3vIKAAAA5PHR1Tvx6Y17yfMd29M3agAAAAAAAPy+L2xpiGWLFyTPn+hxiygAAAA8yrQWRL/3ve9N+J7jx49PyWefPHlywvf8zd/8zZR89tOaqIDZ0NAwZZ89mZLsjRs3puzzAQAAgDy6CmyUWL5kQbQ2rcqYBgAAAAAAmM/qamtix9Z1yfNdZ/qjUqlkTAQAAABzw7QWRMvlcjQ3Nz/xPRPdnplqoptJy+VytLW1TclnP62BgYEZ++xq+RkAAAAA6cYrlUInab+6tTFqa6b1ayMAAAAAAGCO62htTJ69cetBnL98K2MaAAAAmBumfaffnj17nvj60NBQ9Pb2Zv/czs7OJ74+mdtNp8tEN4ROdYG0XC4/8fWWlpYp/XwAAACgmA8+GorB2w+T53duT9+gAQAAAAAA8CjPb1wZq1csTJ7/Rc+VjGkAAABgbpj2guj3v//9Cd9z7NixrJ85mfUOHjyY9TOLmOiW1fPnz8/o509UYAUAAABmVpHbQ9esXBQtz67ImAYAAAAAACCiplSKVwvcInry7NUYHRvPmAgAAABmv2kviJbL5di3b98T33PkyJGsn/nDH/7wia/v2bNnwlLkdJroBs+puGH19w0NDT3x9Wr6WQEAAAB/aHRsPE6eu5o837G9MUqlUsZEAAAAAAAAv9XRuj559s79kejpG8yYBgAAAGa/aS+IRkx8W2d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      "text/plain": [
       "<Figure size 1860x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 1200,
       "width": 1860
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dzdb = np.zeros(z_r.size)\n",
    "dzdb[1:-1] = (z_r[2:]-z_r[:-2])/(svec[2:]-svec[:-2])\n",
    "plt.plot(svec,dzdb)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use FFTs to define derivatives in each direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy.fft as ft\n",
    "def dds(S1):\n",
    "    CS1 = ft.rfft(S1)\n",
    "    CIKS = 1j*ft.rfftfreq(S1.size, d=1/S1.size)\n",
    "    CS1 = CIKS*CS1\n",
    "    return ft.irfft(CS1)\n",
    "\n",
    "def ddx(S1):\n",
    "    CS1 = ft.rfft(S1, axis=0)\n",
    "    CIKX = 1j*ft.rfftfreq(S1.shape[0], d=1/S1.shape[0])\n",
    "    CIKX = np.reshape(CIKX, (CIKX.size,1))\n",
    "#     print(CIKX)\n",
    "    CS1 = CIKX*CS1\n",
    "    return ft.irfft(CS1, axis=0)\n",
    "\n",
    "def ddy(S1):\n",
    "    CS1 = ft.rfft(S1, axis=1)\n",
    "    CIKY = 1j*ft.rfftfreq(S1.shape[1], d=1/S1.shape[1])\n",
    "    CS1 = CIKY*CS1\n",
    "    return ft.irfft(CS1, axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute $\\left|\\nabla b\\right|^2 = |\\nabla (z+\\theta)|^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "gradB2 = ddx(TH)**2 + (1 + ddy(TH))**2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute local values of $dZ_*/db$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "B = yvec + TH\n",
    "dzdB = np.interp(B, svec, dzdb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define functions for figure corner annotations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def anno_tl(ax, str):\n",
    "    l, r = ax.get_xlim()\n",
    "    b, t = ax.get_ylim()\n",
    "    ax.annotate(str, (l, t), xytext=(3, -3), textcoords=\"offset points\", ha='left', va='top')\n",
    "    return\n",
    "\n",
    "def anno_tr(ax, str):\n",
    "    l, r = ax.get_xlim()\n",
    "    b, t = ax.get_ylim()\n",
    "    ax.annotate(str, (r, t), xytext=(-3, -3), textcoords=\"offset points\", ha='right', va='top')\n",
    "    return"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot figure 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1860x750 with 4 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 750,
       "width": 1860
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1,3,figsize=(6.2,2.5),gridspec_kw={'width_ratios': [2, 1, 1]}, sharey=True)\n",
    "cmap=cmocean.cm.deep_r\n",
    "cmap.set_over('w')\n",
    "cmap.set_under('k')\n",
    "CT = ax[0].contourf(yvec,yvec,(yvec+TH).T,levels=np.arange(17)*np.pi/8,cmap=cmap,extend='both')\n",
    "ax[0].set(\n",
    "    title = \"$b=z+\\\\theta$\",\n",
    "    aspect='equal',\n",
    "    ylabel=\"$z$\",\n",
    "    xlabel=\"$x$\",\n",
    "    xticks=np.arange(3)*np.pi,\n",
    "    yticks=np.arange(3)*np.pi,\n",
    "    yticklabels=(\"$0$\",\"$\\pi$\",\"$2\\pi$\")\n",
    ")\n",
    "ax[0].set_xticklabels((\"$0$\",\"$\\pi$\",\"$2\\pi$\"), va=\"center_baseline\")\n",
    "ax[0].tick_params(axis='x', pad=8)\n",
    "ax[0].set_xlabel(\"$x$\", labelpad=16, va=\"bottom\")\n",
    "cb = fig.colorbar(CT,ax=ax[0])\n",
    "# cb.outline.set_edgecolor('black')\n",
    "cb.set_ticks(np.arange(3)*np.pi)\n",
    "cb.ax.set_yticklabels((\"$0$\",\"$\\pi$\",\"$2\\pi$\"))\n",
    "\n",
    "ax[1].plot(svec,z_r, lw=3)\n",
    "ax[1].set(\n",
    "#     aspect=np.pi/2,\n",
    "    xlim = [-1, 2*np.pi + 1],\n",
    "    ylim=[0,2*np.pi],\n",
    "    xlabel=\"$b$\",\n",
    "    title=\"$Z_\\\\ast$\",\n",
    "    xticks=np.arange(3)*np.pi,\n",
    "    yticks=np.arange(3)*np.pi,\n",
    "    yticklabels=(\"$0$\",\"$\\pi$\",\"$2\\pi$\"),\n",
    "    ylabel=\"$Z_\\\\ast$\"\n",
    ")\n",
    "ax[1].set_xticklabels((\"$0$\",\"$\\pi$\",\"$2\\pi$\"), va=\"center_baseline\")\n",
    "ax[1].tick_params(axis='x', pad=8)\n",
    "ax[1].set_xlabel(\"$b$\", labelpad=16, va=\"bottom\")\n",
    "ax[1].set_ylabel(\"$Z_\\\\ast$\",labelpad=8)\n",
    "\n",
    "ax[2].plot(np.mean(gradB2*dzdB, axis=0) - 1, yvec, lw=3)\n",
    "ax[2].set(\n",
    "    xlim = [-0.25, 0.6],\n",
    "    ylim = [0, 2*np.pi],\n",
    "    xlabel = r\"$\\overline{\\mathcal{M}}$\",\n",
    "    title = r\"$\\overline{\\mathcal{M}}(z) $\",\n",
    "    yticks=np.arange(3)*np.pi,\n",
    "    yticklabels=(\"$0$\",\"$\\pi$\",\"$2\\pi$\"),\n",
    "    xticks = [0, 0.5],\n",
    "    xticklabels = (\"$0$\", \"$0.5$\"),\n",
    "    ylabel=\"$z$\"\n",
    ")\n",
    "ax[2].set_xticklabels((\"$0$\",\"$0.5$\"), va=\"center_baseline\")\n",
    "ax[2].tick_params(axis='x', pad=8)\n",
    "ax[2].set_xlabel(r\"$\\overline{\\mathcal{M}}$\", labelpad=16, va=\"bottom\")\n",
    "ax[2].set_ylabel(\"$z$\", labelpad=8)\n",
    "\n",
    "anno_tl(ax[0], \"$(a)$\")\n",
    "anno_tl(ax[1], \"$(b)$\")\n",
    "anno_tr(ax[2], \"$(c)$\")\n",
    "\n",
    "# plt.savefig(\"EPS/winters_problem.eps\")\n",
    "# plt.savefig(\"presentation/winters_problem.svg\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig, ax = plt.subplots(1,3,figsize=(6.2,2.5),gridspec_kw={'width_ratios': [2, 1, 1]}, sharey=True)\n",
    "cmap=cmocean.cm.deep_r\n",
    "cmap.set_over('w')\n",
    "cmap.set_under('k')\n",
    "CT = ax[0].contourf(yvec,yvec,np.mod((yvec+TH).T,2*np.pi),levels=np.arange(17)*np.pi/8,cmap=cmap)\n",
    "ax[0].contour(yvec,yvec,(yvec+TH).T, levels=[0, 2*np.pi], colors='r')\n",
    "ax[0].set(\n",
    "    title = \"$b=z+\\\\theta$\",\n",
    "    aspect='equal',\n",
    "    ylabel=\"$z$\",\n",
    "    xlabel=\"$x$\",\n",
    "    xticks=np.arange(3)*np.pi,\n",
    "    yticks=np.arange(3)*np.pi,\n",
    "    yticklabels=(\"$0$\",\"$\\pi$\",\"$2\\pi$\")\n",
    ")\n",
    "ax[0].set_xticklabels((\"$0$\",\"$\\pi$\",\"$2\\pi$\"), va=\"center_baseline\")\n",
    "ax[0].tick_params(axis='x', pad=8)\n",
    "ax[0].set_xlabel(\"$x$\", labelpad=16, va=\"bottom\")\n",
    "cb = fig.colorbar(CT,ax=ax[0])\n",
    "# cb.outline.set_edgecolor('black')\n",
    "cb.set_ticks(np.arange(3)*np.pi)\n",
    "cb.ax.set_yticklabels((\"$0$\",\"$\\pi$\",\"$2\\pi$\"))\n",
    "\n",
    "ax[1].plot(svec,svec, lw=3)\n",
    "ax[1].set(\n",
    "#     aspect=np.pi/2,\n",
    "    xlim = [-1, 2*np.pi + 1],\n",
    "    ylim=[0,2*np.pi],\n",
    "    xlabel=\"$b$\",\n",
    "    title=\"$Z_\\\\ast$\",\n",
    "    xticks=np.arange(3)*np.pi,\n",
    "    yticks=np.arange(3)*np.pi,\n",
    "    yticklabels=(\"$0$\",\"$\\pi$\",\"$2\\pi$\"),\n",
    "    ylabel=\"$Z_\\\\ast$\"\n",
    ")\n",
    "ax[1].set_xticklabels((\"$0$\",\"$\\pi$\",\"$2\\pi$\"), va=\"center_baseline\")\n",
    "ax[1].tick_params(axis='x', pad=8)\n",
    "ax[1].set_xlabel(\"$b$\", labelpad=16, va=\"bottom\")\n",
    "ax[1].set_ylabel(\"$Z_\\\\ast$\",labelpad=8)\n",
    "\n",
    "ax[2].plot(np.ones(yvec.size)*0.5, yvec, lw=3)\n",
    "ax[2].set(\n",
    "    xlim = [-0.25, 0.6],\n",
    "    ylim = [0, 2*np.pi],\n",
    "    xlabel = r\"$\\overline{\\mathcal{M}}$\",\n",
    "    title = r\"$\\overline{\\mathcal{M}}(z) $\",\n",
    "    yticks=np.arange(3)*np.pi,\n",
    "    yticklabels=(\"$0$\",\"$\\pi$\",\"$2\\pi$\"),\n",
    "    xticks = [0, 0.5],\n",
    "    xticklabels = (\"$0$\", \"$0.5$\"),\n",
    "    ylabel=\"$z$\"\n",
    ")\n",
    "ax[2].set_xticklabels((\"$0$\",\"$0.5$\"), va=\"center_baseline\")\n",
    "ax[2].tick_params(axis='x', pad=8)\n",
    "ax[2].set_xlabel(r\"$\\overline{\\mathcal{M}}$\", labelpad=16, va=\"bottom\")\n",
    "ax[2].set_ylabel(\"$z$\", labelpad=8)\n",
    "\n",
    "# anno_tl(ax[0], \"$(a)$\")\n",
    "# anno_tl(ax[1], \"$(b)$\")\n",
    "# anno_tr(ax[2], \"$(c)$\")\n",
    "\n",
    "# plt.savefig(\"winters_problem.pdf\")\n",
    "# plt.savefig(\"presentation/winters_solution.svg\")\n",
    "\n",
    "plt.show()"
   ]
  }
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