{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib Examples\n", "======================\n", "\n", "[matplotlib](http://matplotlib.org/) is used to plot data. It is a very powerful library that is interfaced to TRIQS.\n", "\n", "Goal of this tutorial\n", "---------------------\n", "\n", "This is an illustration of an **ipython notebook**. It will plot the functions\n", "\n", "$$ f(x) = e^x \\sin(5x) $$ and $$ f(x) = e^x \\cos(5x) $$\n", "\n", "Afterwards we'll see how to create and modify plots.\n", "\n", "Inline plots\n", "------------\n", "\n", "In order to have access to numpy and matplotlib commands and to plot directly in the notebook, run:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:03:28.721166Z", "iopub.status.busy": "2023-08-28T15:03:28.720697Z", "iopub.status.idle": "2023-08-28T15:03:28.931362Z", "shell.execute_reply": "2023-08-28T15:03:28.931121Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "# change scale of all figures to make them bigger\n", "import matplotlib as mpl\n", "mpl.rcParams['figure.dpi']=100 " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:03:28.932901Z", "iopub.status.busy": "2023-08-28T15:03:28.932800Z", "iopub.status.idle": "2023-08-28T15:03:28.999771Z", "shell.execute_reply": "2023-08-28T15:03:28.999534Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The plot command takes the x coordinates as first argument\n", "# then the y coordinates. The third argument controls the\n", "# way points look on the plot\n", "\n", "xr = np.arange(0,3,0.1)\n", "yr1 = np.exp(xr) * np.sin(5*xr)\n", "yr2 = np.exp(xr) * np.cos(5*xr)\n", "\n", "plt.plot(xr, yr1, '-r', lw=3, label = 'red line')\n", "plt.plot(xr, yr2, 'xb', label = 'blue line')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Making the plot prettier\n", "------------------------\n", "\n", "We start off with the simplest example of a single plot.\n", "Note how you can change the line style, its width, the color and the symbols. The labels\n", "of the axis and their range is easily controlled." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:03:29.001137Z", "iopub.status.busy": "2023-08-28T15:03:29.001060Z", "iopub.status.idle": "2023-08-28T15:03:29.107116Z", "shell.execute_reply": "2023-08-28T15:03:29.106909Z" } }, "outputs": [ { "data": { "text/plain": [ "(-1.0, 2.0, -0.2, 1.1)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xr = np.arange(0,1,0.01)\n", "yr = np.sin(xr)\n", "plt.plot(xr,yr,'--b',lw=4)\n", "plt.plot([-0.5,1.5],[0.0,0.4],'-g^',label='a line')\n", "plt.legend()\n", "plt.xlabel('time $t$')\n", "plt.ylabel('$\\int \\,dt\\, \\cos(t)$')\n", "plt.axis([-1,2,-0.2,1.1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Subplots\n", "--------\n", "\n", "When you want to create subplots, you first have to create a figure. Then with the command\n", "
\n",
    "subplot(l,m,i)\n",
    "
\n", "you can create an $l \\times m$ array of plots and select the $i$-th subplot." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:03:29.108489Z", "iopub.status.busy": "2023-08-28T15:03:29.108412Z", "iopub.status.idle": "2023-08-28T15:03:29.274949Z", "shell.execute_reply": "2023-08-28T15:03:29.274711Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'figure 2')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xr = np.arange(0,10,0.01)\n", "plt.figure(1)\n", "plt.subplot(2,1,1)\n", "plt.plot(xr,np.sin(xr),'b')\n", "plt.title(\"subplot 1\")\n", "plt.ylabel('sin')\n", "plt.subplot(2,1,2)\n", "plt.plot(xr,np.cos(xr),'r')\n", "plt.title(\"subplot 2\")\n", "plt.ylabel('cos')\n", "plt.xlabel(r'$\\omega$',)\n", "plt.figure(2)\n", "plt.plot(xr,np.exp(-0.1*xr**2),label='some function here')\n", "plt.legend()\n", "plt.title(\"figure 2\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Histograms and text\n", "-------------------\n", "\n", "The example below shows how to create a histogram and how to add text in the plot.\n", "Note how $\\alpha = 0.3$ is used to control transparency." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:03:29.276362Z", "iopub.status.busy": "2023-08-28T15:03:29.276290Z", "iopub.status.idle": "2023-08-28T15:03:29.371725Z", "shell.execute_reply": "2023-08-28T15:03:29.371458Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mu, sigma = 100, 15\n", "x = mu + sigma * np.random.randn(10000)\n", "xr = np.arange(50,150,0.1)\n", "\n", "plt.hist(x, 50, density=1, facecolor='r', alpha=0.3)\n", "plt.plot(xr,0.028*np.exp(-0.0025*(xr-100)**2),'b',lw=3)\n", "\n", "plt.xlabel('Smarts')\n", "plt.ylabel('Probability')\n", "plt.title('Histogram')\n", "plt.text(45, .025, r'$\\mu=100,\\ \\sigma=15$',fontsize=20)\n", "plt.axis([40, 160, 0, 0.03])\n", "plt.grid(True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Python-like approach to matplotlib\n", "----------------------------------\n", "\n", "Above, we have used a matlab-like commands to control the plot creation. Behind the curtains\n", "matplotlib still works with python objects, so that a figure is a python object. Adding a plot\n", "in the figure is then done with the\n", "
\n",
    "add_axes\n",
    "
\n", "command. This creates an \"axes\" object (a plot). Calling the methods\n", "
\n",
    "set_title\n",
    "set_xlabel, ...\n",
    "
\n", "you can act on the different parts of the plot, etc. This approach is very powerful and\n", "allows to quite easily put an inset in your plot." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:03:29.373142Z", "iopub.status.busy": "2023-08-28T15:03:29.373067Z", "iopub.status.idle": "2023-08-28T15:03:29.489379Z", "shell.execute_reply": "2023-08-28T15:03:29.489167Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xr = np.arange(0,3,0.2)\n", "yr = np.tanh(xr)\n", "\n", "fig = plt.figure(1)\n", "ax = fig.add_axes([0., 0.8, 1.5, 0.9])\n", "ax.set_title(\"My axes\",fontsize=20)\n", "ax.set_xlabel(r'$x$',fontsize=20)\n", "ax.set_ylabel(r'$\\tanh(x)$',fontsize=20)\n", "ax.plot(xr,yr,'o')\n", "subax = fig.add_axes([0.45,0.85,1.,0.5])\n", "subax.plot(xr,np.sin(xr),'r',label='sinus')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "More examples\n", "-------------\n", "\n", "Here are some additional examples. They summarize what is described\n", "above." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:03:29.490711Z", "iopub.status.busy": "2023-08-28T15:03:29.490640Z", "iopub.status.idle": "2023-08-28T15:03:29.912923Z", "shell.execute_reply": "2023-08-28T15:03:29.912702Z" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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XuPVW513wtjpYcJKIiIgs8uSTQK9ert2ixESJiIiILHLrrXJzZex6IyIiohpLTgYSEgCdTulIbIuJEhEREdXY558D330HuPr63C7+9oiIiMjahLixbImrY6JERERENXLwIHDmDBMlIiIiokqSkgA/P6BvX6UjsT0mSkRERFQjSUnAgAGAr6/SkdgeEyUiIiKqtsJC4Oef3aPbDWCiRERERDWwYwdQUgIMHqx0JPbBRImIiIiqbe9eoFkzoE0bpSOxDyZKREREVG1z5gBpaa69bEl5TJSIiIioWoSQCVJQkNKR2A8TJSIiIqqWlSuBzp2B69eVjsR+mCgRERFRtXToADzyCFCnjtKR2I8bvVUiIiKqjT595OZO2KJEREREN3X0KPDpp0BpqdKR2BcTJSIiIrqpzz4DJkwAPNwsc3DZtzt37lyoVCpMmDDBsK+oqAjx8fEICgpC/fr1MWzYMOTm5ioXJBERkZNISgIGDQI8PZWOxL5cMlHat28fVqxYgcjISKP9EydOxLfffou1a9ciJSUF2dnZGDp0qEJREhEROYfz52XtJHdZtqQ8l0uUrly5gscffxwrV65Ew4YNDfvz8vLwwQcf4O2338Ydd9yBbt26YdWqVdi9ezf27Nlj9vmKi4uRn59vtBEREbmTrVtlDSUmSi4gPj4e99xzD2JiYoz2p6WlobS01Gh/u3btEB4ejtTUVLPPl5iYCLVabdg0Go3NYiciInJEW7YAkZFA48ZKR2J/LpUoffHFFzhw4AASExMr3ZeTkwNvb280aNDAaH9oaChycnLMPmdCQgLy8vIMW1ZWlrXDJiIiclhCAMnJ7tmaBLhQHaWsrCy88MIL2Lp1K3x9fa32vD4+PvDx8bHa8xERETmT334DcnLcN1FymRaltLQ0nD17Fl27dkWdOnVQp04dpKSkYNGiRahTpw5CQ0NRUlKCy5cvGz0uNzcXYWFhygRNRETk4JKSgLp1gb59lY5EGS7TonTnnXfi4MGDRvtGjx6Ndu3aYerUqdBoNPDy8sL27dsxbNgwAEBGRgYyMzMRHR2tRMhEREQO77nngNtvB9y1c8VlEiV/f3907NjRaF+9evUQFBRk2D9mzBhMmjQJgYGBCAgIwPjx4xEdHY3bbrtNiZCJiIgcXkAA4M7tCS7T9VYdCxYswL333othw4ahX79+CAsLw/r165UOi4iIyCFt2wY8/DBQWKh0JMpRCSGE0kE4k/z8fKjVauTl5SEgIEDpcIiIiGzm+++BlSuB9esBlUrpaGrH0uu3y3S9ERERkXXdfbfc3Jlbdb0RERFR9Zw/D6SnAzqd0pEoi4kSERERVfLVV0DPnkBBgdKRKIuJEhEREVWSlCRnu6nVSkeiLCZKREREZKS0FNi+3X2rcZfHRImIiIiMpKbKLjcmSkyUiIiIqJxt24ChQ2Whya5dlY5GeUyUiIiICAAgBDB9OnDhAlCnjvPXTrIGJkpEREQEAEhOBvbtk/++eFHedndMlIiIiAhCADNnAh7/ZAaenvK2u6/fwUSJiIiIDK1J+gKTZWXytru3KjFRIiIicnP61iRPT+P9bFViokREROT29K1JZWXG+9mqxESJiIjIrVUcm1SRh4d7tyoxUSIiInJjJSVAZqb5xW91OiArSx7njuooHQAREREpx8dHdq+dOydbjUzVTgoJkce5IyZKREREbk6jkduDD8q/ixYpHZHjYNcbERERAQD27JFLl9ANTJSIiIgIOTly69JF6UgcCxMlIiIiQnq6/MtEyRgTJSIiIkJ6OqBWAy1aKB2JY2GiREREREhPBzp3Nj3rzZ0xUSIiIiJotex2M4WJEhERkZvLzweOH2eiZAoTJSIiIjd3+jTQsiUTJVNYcJKIiMjNRUQAJ04oHYVjYosSERGRmysqUjoCx8VEiYiIyM1FRwP/+Y/SUTgmdr0RERG5uYQEoGlTpaNwTEyUiIiI3NzDDysdgeNi1xsREZEb270bWLVK6SgcFxMlIiIiN7ZmDTBvntJROC6XSpSWLVuGyMhIBAQEICAgANHR0di8ebPh/qKiIsTHxyMoKAj169fHsGHDkJubq2DEREREymJF7qq5VKLUtGlTzJ07F2lpadi/fz/uuOMOPPDAAzh8+DAAYOLEifj222+xdu1apKSkIDs7G0OHDlU4aiIiImXodMCvvzJRqopKCCGUDsKWAgMD8dZbb2H48OEIDg7GmjVrMHz4cADAsWPHEBERgdTUVNx2220mH19cXIzi4mLD7fz8fGg0GuTl5SEgIMAu74GIiMgWfv8daNsW2LoViIlROhrbys/Ph1qtrvH126ValMorKyvDF198gcLCQkRHRyMtLQ2lpaWIKfdJaNeuHcLDw5Gammr2eRITE6FWqw2bRqOxR/hEREQ2l54u/3burGgYDs3lEqWDBw+ifv368PHxwXPPPYcNGzagffv2yMnJgbe3Nxo0aGB0fGhoKHJycsw+X0JCAvLy8gxbVlaWjd8BERGRfaSny/pJjRopHYnjcrk6Sm3btoVWq0VeXh6++uorjBw5EikpKRY/n4+PD3x8fKwYIRERkWNIT+f4pJtxuRYlb29vtG7dGt26dUNiYiKioqKwcOFChIWFoaSkBJcvXzY6Pjc3F2FhYcoES0REpBAhmChVh8slShXpdDoUFxejW7du8PLywvbt2w33ZWRkIDMzE9HR0QpGSEREZH9CAB9/DDz2mNKRODaX6npLSEjAXXfdhfDwcBQUFGDNmjXYsWMHkpKSoFarMWbMGEyaNAmBgYEICAjA+PHjER0dbXbGGxERkavy8AAGD1Y6CsfnUonS2bNn8eSTT+LMmTNQq9WIjIxEUlISBg0aBABYsGABPDw8MGzYMBQXFyMuLg5Lly5VOGoiIiL727AByMkBxo1TOhLH5vJ1lKzN0joMREREjmT6dODwYeDrr5WOxD4svX67VIsSERERVc8bbygdgXNw+cHcREREZOz6dbnRzTFRIiIicjM7dwL+/sCffyodieNjokRERORm9EuXhIcrG4czYKJERETkZtLTgchIoA5HKt8UEyUiIiI3w4rc1cdEiYiIyI1cuwYcPcpEqbqYKBEREbmRQ4eAsjImStXFRImIiMiNaLWApyfQqZPSkTgHJkpERERuJD0daNcO8PNTOhLnwESJiIjIjfj7A3FxSkfhPDgxkIiIyI28+abSETgXtigRERG5iatXgYICpaNwLkyUiIiI3MTGjYBaDeTlKR2J82CiRERE5Cb69QM+/1wmS1Q9TJSIiIjcRNOmwCOPKB2Fc2GiRERE5AaEAKZNA379VelInAsTJSIiIjfw999yxltmptKROBcmSkRERG4gPV3+5dIlNcNEiYiIyA2kpwNBQcAttygdiXNhokREROQG0tNla5JKpXQkzoWJEhERkRvQJ0pUM0yUiIiIXNyFC3IQNxOlmmOiRERE5OK0WvmXiVLNMVEiIiJycenpQN26wK23Kh2J86mjdABERERkW08+CfTqBXh6Kh2J82GiRERE5OJCQuRGNceuNyIiIhd29SowciRw6JDSkTgnJkpEREQu7OxZ4Ngx4Pp1pSNxTux6IyIicmHNmwN79yodhfNiixIREZELO38e0OmUjsJ5MVEiIiJyYXffDTzzjNJROC+XSpQSExPRo0cP+Pv7IyQkBEOGDEFGRobRMUVFRYiPj0dQUBDq16+PYcOGITc3V6GIiYiIbOf6deDgQaBjR6UjcV4ulSilpKQgPj4ee/bswdatW1FaWorY2FgUFhYajpk4cSK+/fZbrF27FikpKcjOzsbQoUMVjJqIiMg2jh0DiopYkbs2VEIIoXQQtnLu3DmEhIQgJSUF/fr1Q15eHoKDg7FmzRoMHz4cAHDs2DFEREQgNTUVt912W6XnKC4uRnFxseF2fn4+NBoN8vLyEBAQYLf3QkREVFOffCKLTV6+DKjVSkejrPz8fKjV6hpfv12qRamivLw8AEBgYCAAIC0tDaWlpYiJiTEc065dO4SHhyM1NdXkcyQmJkKtVhs2jUZj+8CJiIisQKsFWrZkklQbLpso6XQ6TJgwAX369EHHfzpnc3Jy4O3tjQYNGhgdGxoaipycHJPPk5CQgLy8PMOWlZVl69CJiIisIj2d3W615bJ1lOLj43Ho0CHs3LmzVs/j4+MDHx8fK0VFRERkH0LIRGnyZKUjcW4u2aL0/PPPY9OmTfjxxx/RtGlTw/6wsDCUlJTg8uXLRsfn5uYiLCzMzlESERHZzqlTcmxS585KR+LcXCpREkLg+eefx4YNG/DDDz+gRYsWRvd369YNXl5e2L59u2FfRkYGMjMzER0dbe9wiYiIbObqVWDwYKBrV6UjcW4u1fUWHx+PNWvW4Ouvv4a/v79h3JFarYafnx/UajXGjBmDSZMmITAwEAEBARg/fjyio6NNzngjIiJyVu3bA5s3Kx2F83Op8gAqlcrk/lWrVmHUqFEAZMHJF198EZ9//jmKi4sRFxeHpUuXVrvrzdLphURERPb0+++ARgP4+SkdiWOw9PrtUomSPTBRIiIiZ9C0KfDEE0BiotKROAZLr98u1fVGREREcsbbxo3AP2UEqRZcajA3ERERAdu3y4rcf/6pdCTOj4kSERGRCxECeO454OhRYPp0eZssZ7VEqbS0FFlZWcjIyMDFixet9bRERERUA8nJwIkT8t/79snbZLlaJUoFBQVYtmwZ+vfvj4CAADRv3hwREREIDg5Gs2bNMHbsWOzbt89asRIREVEVhABmzrxx29NT3markuUsTpTefvttNG/eHKtWrUJMTAw2btwIrVaL33//HampqZg9ezauX7+O2NhYDB48GH/88Yc14yYiIqIKkpNlK5JeWRlblWrL4vIAI0aMwIwZM9ChQ4cqjysqKsLq1avh7e2Np556yqIgHQnLAxARkSMSAujVC0hLA3S6G/s9PWV17r17ATPlBt2ConWUevfujS1btrhF4sBEiYiIHFFSklyyxJwtW4C4OPvF42gsvX5bZTD3nj17UFRUZDKoqVOnWuMliIiIyAz92CQPM1d1Dw+OVbJUrRKl4cOHY+7cuVCpVDh79myl+wsLCzF//vzavAQRERHdREkJkJlp3OVWnk4HZGXJ46hmalWZOzw8HJs2bYIQAlFRUQgKCkJUVBSioqLQuXNnZGRkoHHjxtaKlYiIiEzw8ZGDtnNygNtvB8aNk8uXlBcSIo+jmqlVovT2228DALy9vbFr1y5kZ2cjPT0dWq0WGzZsgE6nw7x586wSKBGRM9u2Dfj3v4FFi4CYGKWjIVek0cj13Y4cAerXl4kR1Z5VBnOXlpbCy8vLGvE4PA7mJqKa0s9G2rcP6NGDs4+IlKDoYG53SZKIiCxRvrYNa9qQLS1fDiQkKB2Fa7E4UcrMzKzR8adPn7b0pYiInJYQwIwZN2YjcfYR2VJREXDtmtJRuBaLE6UePXrg2WefrXKJkry8PKxcuRIdO3bEunXrLH0pIiKntXkzsH//jdlIOp1sVZo/n8kSWd+ECcA77ygdhWuxeDD3kSNH8Prrr2PQoEHw9fVFt27d0KRJE/j6+uLSpUs4cuQIDh8+jK5du2LevHm4++67rRk3EZFDu3hRDqh9+WU5HqliUvSf/wBr1gATJwKPPgp4eysSJrmQa9eAs2eB8HCOgbOmWg/mvnbtGr777jvs3LkTp06dwrVr19CoUSN06dIFcXFx6Nixo7VidQgczE1EN5OXB7RuDTz0ELBsmfnjuneXrU2rVwMjR8pkihc4stTWrUBsLPD778CttyodjeOx9Ppdq/IAAODn54fhw4dj+PDhtX0qIiKn9vPPQHQ0oFYD//0vsGCBHJNkqgigh4dMig4fBlq2lPueew4IDQVeeaXy8SwvQDfz669AvXpAq1ZKR+JarDLr7dq1a7h69arh9qlTp/DOO+8gmVM7iMgN/PknMHQo0K8foB+O+cgjwJkzN6+U3KoV4Osr97VpAzRvLv996hTw/ffyOCGA6dOBo0flX45tIlO0WiAy0vwyJmSZWrcoAcADDzyAoUOH4rnnnsPly5fRs2dPeHt74/z583j77bcxbtw4a7wMEZGiKrbqFBQAb7wBvP22LO63Zg3w8MPyWH2l5HPnzD9fxUrJL754499ffglMnQq0bQsMGlS5vIA7L25Kpmm1Mlkn67JKwclGjRohJSUFHTp0wPvvv4/FixcjPT0d69atw6xZs3D06FFrxOoQOEaJyD2VLxrZvTsQHy/r1Vy+LBOaKVNkt4c1X2/3bpmErV9/Y7+nJ9C1K4tWkrGiIjl5YOlS4JlnlI7GMSlacPLq1avw9/cHACQnJ2Po0KHw8PDAbbfdhlOnTlnjJYiIFFW+aOT+/cDo0UD//sCxY3JmmzWTJEAmQX36VL7olZWxaCVVdviw/GxERSkdieuxSqLUunVrbNy4EVlZWUhKSkJsbCwA4OzZs2x1ISKnJ4QsEunpeWNfu3bA558DzZrZ93UBeZtFK6k8rVaOTerUSelIXI9VEqVZs2Zh8uTJaN68OXr27Ino6GgAsnWpS5cu1ngJIiLF6FuTyspu7Dt2zPatOqZeF2CrElWm1cqSAHXrKh2J67HKGCUAyMnJwZkzZ9C5c2eo/uk4/+WXXxAQEIB27dpZ4yUcAscoEbkXIYCICCAjw3i/rccK6cdEpaWZLy/QrRvHKpG0dKkscjpjhtKROC7F6ijp+fr64ocffsCSJUsAAB06dMBTTz0FtVptrZcgIrK75OTKSRJg3KpjixloJSVAZubNywuUlBjPnCP39K9/KR2B67JKi9L+/fsRFxcHPz8/9OzZEwCwb98+XLt2DcnJyejatWutA3UUbFEich/5+bJV5/fflWnVycoyXV6goAB47TW5/AlXh6K8PFnLq1MnoI7Vmj9cj6ItShMnTsT999+PlStXos4//5WuX7+Op59+GhMmTMBPP/1kjZchIrIbIYBRo2Rrkrmfk7Zu1dFo5FZRaans+qs4yJvc0w8/yIKn2dlA48ZKR+N6rNKi5Ofnh/T09EpjkY4cOYLu3bsbVe12dmxRInIP8+fL2kjvvSdbjcwJCQGaNrVfXEQVXb0K/PabbP3keDXzFG1RCggIQGZmZqVEKSsry1BfiYjIWfz4oywiOXUqMHas0tGYd/GirBQ+ezYXQXVndesCt92mdBSuyyrlAR555BGMGTMGX375JbKyspCVlYUvvvgCTz/9NEaMGGGNlyAisou//5brtA0cKMcBOTJfXyA1VRalZE0l9zV6NJCUpHQUrssqidL8+fMxdOhQPPnkk2jevDmaN2+OUaNGYfjw4XjzzTet8RLV8tNPP+G+++5DkyZNoFKpsHHjRqP7hRCYNWsWGjduDD8/P8TExOCPP/6wW3xE5NhKSoCHHpLjjT7/3PEHxtatC6xYAezYAXz4odLRkBIuXQJWrwYuXFA6EtdllUTJ29sbCxcuxKVLl6DVaqHVanHx4kUsWLAAPnact1pYWIioqChDiYKK5s2bh0WLFmH58uXYu3cv6tWrh7i4OBQVFdktRiJyXJMmAQcOAOvWAcHBSkdTPTExctD55MnAmTNKR0P29uuv8m/nzoqG4dKsVnDS0ahUKmzYsAFDhgwBIFuTmjRpghdffBGTJ08GAOTl5SE0NBSrV6/Go48+avJ5iouLUVxcbLidn58PjUbDwdxELubkSaB9e2DBAuDZZ5WOpmYuXJCx9+sHrF2rdDRkTwsXyrF0V644fguo0hRdFDcxMREfmmj3/fDDD+3a9VaVv/76Czk5OYiJiTHsU6vV6NWrF1JTU80+LjExEWq12rBpTM3VJSKn17y5XJbEGVdeDwoCFi0CvvoKqDDigFycVsv6SbZmlURpxYoVJpcp6dChA5YvX26Nl6i1nJwcAEBoaKjR/tDQUMN9piQkJCAvL8+wZWVl2TROIrKvS5eAl14CioqA8HDnnV798MPAvfcC8fGyACG5B62W3W62ZpVEKScnB41NVLkKDg7GGSfvNPfx8UFAQIDRRkSuY/9+ORg2N1fpSGpHpZLrfeXnA2vWKB0N2UNJCXDkCBAVpXQkrs0qiZJGo8GuXbsq7d+1axeaNGlijZeotbCwMABAboVvw9zcXMN9ROR+Bg0Cjh8HmjVTOpLa02jk4N7nnlM6ErKHY8dkssQWJduySqI0duxYTJgwAatWrcKpU6dw6tQpfPjhh5g4cSLGOki1thYtWiAsLAzbt2837MvPz8fevXsRHR2tYGREpITNm2U3VWkp4OendDTW07KlbF36/nvZnUiuS6uVfyMjFQ3D5Vll+NeUKVNw4cIF/Otf/0JJSQkAwNfXF1OnTkVCQoI1XqJarly5guPHjxtu//XXX9BqtQgMDER4eDgmTJiA1157DbfeeitatGiBmTNnokmTJoaZcUTk2rZtk5WsExKAF14Aevd2zfXSsrKABx8EVq4EnnxS6WjIVh5/HOjTB+CIENuyanmAK1eu4OjRo/Dz88Ott95q1xpKALBjxw4MHDiw0v6RI0di9erVEEJg9uzZeO+993D58mX07dsXS5cuRZs2bar9Glzrjcg5CSHXwtq3T7YghYUBaWlAw4ZKR2YbR48C7do57+B0Imuz9PrtsnWUbIWJEpFzSkoCBg++cXvpUmDcOOXisZft24Hr14GJE2UJgXIVUsiJCSE/z//+N3DPPUpH4xwUraNEROTIhABmzrzRuuLhAaxa5frro2VkyMRo7FjZwjR9uuu/Z3dRVCSrx9erp3Qkrq/GiRIboIjI2SQnyy43/deXTidvJycrG5ettW0L3H+/HLMEuMd7dhd+fsCnnwIDBigdieurdqJ08OBB9OnTB886W21/InJrQgAzZlTe7+kpW5lc+befEMDff9+47Q7v2V2cOMG1/eyl2onSww8/jMLCQgwbNsyW8RARWVVysiwqWVFZmeu3sCQny0V+9dzhPbuLadOAxx5TOgr3UO1EqaCgAA0bNoSXlxeOHj2KrKwsXLp0CaWlpbaMj4jIYvqxSR5mvuk8PFy3hUX/3iuWP2Crkmvg0iX2U+06SvPnz8fo0aMxaNCgSvd5eXmhfv36lTZ/f3/Dv4ODg9GjRw/cd999Vn0DRETm6Jd40OlM36/TyfE7JSWAnauZ2Jx+XFZF5VuV4uLsHxfVXkGBrCbPpUvso9qJ0qOPPoq+fftiz549OH36NK5cuWK0FRQUGN0+f/68Yf+1a9cAACqVCv/3f/+Hjz76yGZviIiovA4dgNhYWYDRlJAQ10uSyrekmUoS9S1psbGss+SMDh6Uf9miZB92qaMkhMCFCxewYMECzJ07F5mZmbjlllts/bI2wTpKRM5Fp5PJgDslBMXFcu26qhb6DQsDTp50vSTRHSxdCkyYAFy5Anh7Kx2N87D0+m2VJUxuRqVSIT09HRs3bkRgYCACAwPt8bJE5MYWLAC6dgX691c6Evvz8ZHda+fOGe8X4kbC6Iotae5CqwXat2eSZC92SZQAICcnB23atMGaNWvg50orUBKRw9m/H5g8GXjjDfdMlABAo5FbRcXF8kLbtKndQyIr0Wo5PsmeuIRJDbHrjcixlZYCPXrIlpNffgG8vJSOyLG8+SbwyivA2bOs6uyMrl8H/P3lj4CJE5WOxrk4dNcbEZG9zJ8PHDrEJMmcMWOABx5gkuSsrl2TS9K4a0upEtiiVENsUSJyXL//DkRGyoVC581TOhrHpv/md6dB7uTeuCguEbk1nQ545hk59ubll5WOxrFlZcl14FJTlY6Eaio9HTh2TOko3AsTJaq1bdvkDIxt25R5PBEAvP8+kJICvPceULeu0tE4tltukYUnV6xQOhKqqYQEYMoUpaNwL+x6qyF2vRkTAujVS05F7tED2Lu3Zk35tX08EQAUFQHNmwP33AN88IHS0TiHuXOBOXOA7GygYUOlo6HqunwZyMuTdbKoZtj1Rooov0yCJYtt1vbxRADg6wv89JMcyE3VM2qUnEH1ySdKR0I10aABkyR7Y6JEFrtwAYiPN24Beugh2YcOAMuWydt6d94pS+5HRgIdOwIREXL2jZ6HBzBjBhfrpJr57Tc5E6hNG7aM1ERYGDBkiOx+4/9zzmHnTvnfLC9P6UjcCxMlAlD9cULp6cC0aUD37kCjRsCJE8ZfsgUFN1qIQkKAVq1u3Ne1K9CnDzBgABATIxOl4uIb9+t0slBgcjLw1VeVqwoTVXT9uky2J09WOhLn9OyzctHgXbuUjoSqY/duYPt2WUeJ7IdjlGrIFccoVTVOqLgYePttYNAgmRwtXAgkJgJ33CFnzGRlyUGhep6eMiG62Vgj/WseOFD58Z06yVaCTz4BHnsMOHpUHh8RUfk5t22TU8EXLZLJF7mfY8eAgACgSROlI3E+Op1siYuOZhecM3jsMSAzU7YsUc1xjBJZrOI4ofHjb/xC9/YGVq++sVr1uHHAmTPAyJFyQc3ySQ4gb1dnrJH+NU09XqsFPv9cNjEDsh5Ohw7yC/3FF+VYlOvXZfI0fbpMpKZPZ/eBu/n9dzmIu107JkmW8vCQJRXWrpVd6eTYtFo5fIHsi4mSm9Pp5CrU5VtqliyRVY1LS+X+Y8eA0aPlffpFGGfOlF+ypnh4yPvNJS5C3Pzx8+cD+iUBly0DNm2SrVhr1siKtGFhspWLA8Hdz7ZtsnVxwADgueeUjsb5jRolf4CQY7t2DcjI4BpvSmDXWw25StdbQQHw2Wdy3aeTJyvfv2ULEBdn+rHFxXLWRW6u+ecPC5PPa2p18to8Xj+OaeNGuTp8UZHcX90uP3Ju5buJVSrZmti2rdJREdnevn1Az57yR2yPHkpH45y41htVixDyAjNtmmypUatlC45Od+MYT0/Z4hMbazrp8PGR/9NWNdg6JMR0klTbx3t4yC+LS5fkWCk9fZff8uWye5BcU/luYiFkMs1EqfaKi2UXd2ysTETJ8Wi18vuvY0elI3E/bFGqIWdtUbp+HRg8GBg+XHZXZGbKKsZPPmn+MVW1KinJ3EBwlUred+oUEB6uXHxkG0LIX9JpafI2WxGtRwigWzfgX/8Cnn5a6WjIlPh44Mcf5SxFsgwHc7s5U9P7//4beOMNOdaoTh05Nb9lS3mfRgMsXmz5OCMlmRsIro/16FF53/r1jhk/WSY5+UaSBFR/4gDdnEolu7SZJDmuw4c5kFspbFGqIUdsUSo/bqN7d+D112W32jffAPXqyZajLl2MH1PbcUZK0b/XtDTj7kI9Dw/5y3jOHODuu4G+fYGlS2XJAXJeQsiZj0ePGu9nq5J1FRQAf/0li8KSYyktlf99AgOVjsR5WXr9ZqJUQ46YKCUlyW618jp1ks3ojz9uvjhZVtbNxwk1bWq9OK2hJgnerl2yufqPP2StpZdflvV2yPls3Ag8+KD5+x21m9jZjBol66MdO8bEk1wPEyU7cbRE6cwZOV1Un/CoVHJw6+HD5rvVnF1NErySElkw89VX5cD1t98GHnnkxkWABSsdnxByAH9amumuVH0rIluVai8lRZZd+OEHYOBApaMhve++k4PtN28G6tZVOhrnxTFKbkQI2TwOyOKL5ZMGIeSvwa1blYnNHjQa2d1ibivfCubtLWf4HT0K3HYbMGKETIiOHWPBSmdx4YJMjs3999Hp5P0lJfaNyxX16ycLeK5YoXQkVJ6/vyy4yyRJGWxRqiFHaFGaOxd46y05c23gQNPLgHDchmmbN8vK40OGyIKV5bss2X3jeM6elS2mM2bIZTbMccRuYme1YAEwdSpw+jQQHKx0NETWw643O7FVolRVF1Burhyc3aSJXG4gK0uOuykpAe66y/xz8sJvWlGRLJdwxx1ypo8QTC4d1fXrsrt09GhetO3l4kX5XfPqq8CUKUpHQwCwY4ec8daggcKBODl2vdXAkiVL0Lx5c/j6+qJXr1745ZdfFI3HXBfQr7/KC0R4uGxB0g9g1mhkS9KsWc45vV9pvr5yoPe+fTfOD6eaO54LF2RZi//8h0mSPQUGAg89BLz3numZpWRfFy7I7/vNm5WOxH25XaL05ZdfYtKkSZg9ezYOHDiAqKgoxMXF4ezZs4rFVHFR2jlzZGtH587A9u3Aa6/JmkgzZ954TEmJ7Hoz90XGcRvm6dea8/Q03u/hAbz0EpNLR5CRAbRoIQexkv098wxw/LgscEjK+vVX+Zc1lJTjdl1vvXr1Qo8ePfDuu+8CAHQ6HTQaDcaPH49p06ZVOr64uBjFxcWG2/n5+dBoNFbrejNXZbpXL2DSJDkl2svL9GOdcXq/IzBVTqG8jz6qumI52VZpqRyPVFAApKdzAKsS9HWruncHPv5Y6Wjc24IF8gdcQUHlH3dUM1zrrRpKSkqQlpaGhIQEwz4PDw/ExMQgNTXV5GMSExMxZ84cm8VUvjWpvDlzbj6+SKORG1WfvjWp4vp25T31lEww77jDvrGRNGeO/BWdmsokSSkqFbBunaxZRsrSamVdPCZJynGrrrfz58+jrKwMoaGhRvtDQ0ORk5Nj8jEJCQnIy8szbFlZWVaLx1wXkH5RWvdq67OPm3VZAvL8DxoEvPMO/xvY265dcrHj2bNlawYpJyJCJqoVlwoi+9Jq5cxPUo5btShZwsfHBz42WsPDXGtS+YHFnLVmXT4+8txW1WUZGAgsWQJMnCiLHL73HuDnZ78Y3VV+PvDEE7LelYlecFLAypXAwoXAb7+5bgFbR1ZcLBfBffZZpSNxb26VKDVq1Aienp7IrbD+RW5uLsLCwuway826gPSz1mJjOV3d2qrTZfnWW7JcwJgxssr5hg3shrC1CRNkArttm5ztRsrr0kUmr1u2AJMns4K9vR09KktkcCC3stzqN4K3tze6deuG7du3G/bpdDps374d0VVVs7MBzlpzfCNGALt3A4WFctYh2c769cCqVfJC3LKl0tGQXvfusjzDyy+zgr0StFr5l4t6K8vtfrdNmjQJI0eORPfu3dGzZ0+88847KCwsxOjRo+0aR3W6gEJC5HGknM6dZYtSnTryl9369bLGjErFdeKsqXVreUEeNUrpSKiitWuNy5dwSID9tGkjZ7yZW9ic7MPtygMAwLvvvou33noLOTk56Ny5MxYtWoRevXpV67GOsIQJKWPTJlmuQasF2reXJRz27QN69GBFb0sJIVtN+YPAMQkhFxxOT5e3WcGenBkrc9fA888/j1OnTqG4uBh79+6tdpJE7u3ee2X3Q4cOskpuxV/ZVHNLlsiE89o1pSMhU5KTbyRJACvY29PWrbJMydq1SkdCbpkoEVmqdWv5K7v8LBSWc6iZbdtki9y2bUDfvsDjj3NWoSNi+RLlCCHX2Tt9mqsFOAImSkQ1lJxsPLibv7Krr/y6htOmyfowXHjVMenLl1Sso8TPu+0lJ99YuuSPP3iulcZEiagGzP3KVqn4y686ytcOS0vjQp+Oqnz5ElO46LbtVPyOYQue8pgoEdWAuV/ZQsgL/xdfKBOXM6h48VWp5LRzXgAcD8uXKKfidwxb8JTHRImomm72KxsARo6UM4KoMv0FQH/xFYIXAEelL1+SlnZj27sXaNBALhidlibv52xF6+K4MMfkluUBaoPlAdxXcbGszl2hsLsRLy857uaXXzh9ujwhgI4d5XIM5XG6uXMZNw44eZJdpraSlAQMHmz+/i1bWMOqNiy9fjNRqiEmSu4tK6vqIqFqtVxItHFjIDtbFg3lchyyKOcLL5i/nxcA51BUJFuRmNRanxCyVEZamvllrbp144+K2mCiZCdMlKg6yspky1K/fsDSpUpHo6w9e2QZAHOr0PMC4HzOnwcaNVI6CtdSnRbrsDDZoscuT8tYev3mb10iG/D0lK0o+sV3hXDfJGDFCpkMmUuUyg8M5gXA8b3xBvDuu/K/WcWxNGQ5/biws2dl99s998glksrjslbKYKJEZCN33CH/FhTIbqWpU4EHHlA2JnsqKgJ8fYH33pPv/epV88fyAuA8HnxQVqcn69NogNJS2WL30ENy/B4pj4kSkY2pVECTJsCQIcArr8h6Sx4err2obnq6/EW8aZP8sm/XTumIyFoiIuRGtrFzp/zbu7eycdANLA9AZGP16wP/+59MkmbNAh5+WLYy6StUT5/uetN+27QB/u//gLZtlY6EbEGrlf99r19XOhLXk5UFdOkCNGyodCSkx8HcNcTB3FQbX38tLzCNGslBmXquMuvrp5+AoCB2zbi69HTZUpiUBMTGKh2N6ykr4/gvW7D0+s0WJSI7euABIDUVOHPmxj5XKSa3Ywdw113A668rHQnZWufOwK23shK9tV2/Lic3MElyLEyUiOzs9Gk5FVjPFZYo+OEH4O67gT59gA8+UDoasjWVCnj0UWD9euPPMtXOpk2ytfn8eaUjofKYKBHZUVVLFDz/fNUzwxzVtm1y4Ha/frJr0c9P6YjIHh55BMjLc+4E39G0by/HLLJGlWNhokRkR+YW1S0rA44fl1+Sjm7bNvmFvm2bfD/33QcMHAhs3MgkyZ106CCXpWH3m/W0aQNMnqx0FFQREyUiO7nZoroqFbBrlzxu+XKZODkaIW7M1vvXv2SSdOedwIYNsmYSuZdHHwW++cY5W0IdTWEhMG+eXPqIHAsTJSI7KSkBMjNNr+MEyCTk77+By5eBt96Sv9hnzHCsi5C+RQwA/vhDTmNet47FIt3VI48AV64A33+vdCTOb+9eWZj14kWlI6GKWHCSyE70SxRUtahuSIisn3LwIDB3rvyF+cknwIIFsiKyfhkUJYpV6nTAxIlyPFVZmWwZu34d8Pa2z+uT42ndWhZG/PNPpSNxfjt3yv/327dXOhKqiHWUaoh1lMieTpwAXngB+O47Wa9m8WI5LbtXL5l09ehh+8Vk9evUrV4NjB5d+X5XqQFFltHpzHcnU/XFxsofU99+q3Qkrot1lIhcUKtWcsrwN9/Irq6OHYERI250f9myrEB6OvDcc0C3brIFaenSyhdEV6kBRZbz8JDr+p0+rXQkzuv6dVlfrW9fpSMhU5goETmB++4DDh+WA6m///5GeQFPTzmOqaaJSvmZa+VdvQqsWiVbrLp2lb9u779fvua+fZXHV7lCDSiqvfvvB8aNUzoK5/Xrr3KsFxMlx8QxSkROws8PiI6W68TplZUB+/fLROXCBTn+qUMHuYWFme6SKz9zbfp0OWvtyBFgxQrg44+B/HzZlbZxo6yP5OkpEycPD9MD0T08ZKtSbKxtuwDJcb36KqBWKx2F89q5U3a7de+udCRkChMlIidRvlhl+TpM+u6vjh2BNWtuVEpu2PBG0qTfevcGUlKMu+4mTJCDwkNC5JT/sWOBFi1uPH9xcdWz9XQ6uZBnSQlnv7mrXr2UjsC5/fwz0LMn//9xVEyUiJxE+an55em7v159FXjvPTkD6fDhG9vu3bI7raRE1miZOVO2/Aghk6yUFFk08MEHTc9gq+5sPX7Ju7dPP5V1wJYtUzoS5yKEbFF66imlIyFzOOuthjjrjZQghPzVnpZmvvurWzfzM+CuX5cz6P76Sy5cWxFnrlFtrVgBxMfLZDwkROlonIcQ8v/rwECgZUulo3FtnPVG5MJuVqyyfPeXKXXqyOURZs0yvc4cZ65RbQ0bJv+uW6dsHM5GpZJjk5gkOS62KNUQW5RIKVlZN+/+atrU/P1JScDgwebvZ6sS1dbgwcC1a7I7l6pn/nygXj3OGrQHS6/fHKNE5CQ0GrlZovw6c5y5Rrby6KNyrM3p08AttygdjXP4+2/A31/pKKgq7HojcgO17bojqo4hQwAvL2DtWqUjcR7vvCMnYpDjYosSkRvgzDWyhwYNZPfbl1/KshNUtbNnAV9fgKM4HJvLtCi9/vrr6N27N+rWrYsGDRqYPCYzMxP33HMP6tati5CQEEyZMgXXr1+3b6BECtFoZLVtc1tV45uIquvRR4E9e4CTJ5WOxPHNnQt06aJ0FHQzLpMolZSU4KGHHsI4MyPiysrKcM8996CkpAS7d+/GRx99hNWrV2PWrFl2jpSIyHXdd59cHufUKaUjcXw7d8oisOTYXG7W2+rVqzFhwgRcvnzZaP/mzZtx7733Ijs7G6GhoQCA5cuXY+rUqTh37hy8TVXaA1BcXIxifaljyFHzGo2Gs96IiMhiV67IrsolS4Bnn1U6GvfAOko3kZqaik6dOhmSJACIi4tDfn4+Dh8+bPZxiYmJUKvVhk1j6bQjIiI3cvKkHINDpu3dK6vqcyFcx+c2iVJOTo5RkgTAcDsnJ8fs4xISEpCXl2fYsrKybBonEZGzKykBIiOB5cuVjsRx/fyzrMYdEaF0JHQzDp0oTZs2DSqVqsrt2LFjNo3Bx8cHAQEBRhsREZnn7S0LmE6apHQkjmvnTqBPH1nDjBybQ5cHePHFFzFq1Kgqj2lZzbrvYWFh+OWXX4z25ebmGu4jIiLr4SBl80pL5cxAziVyDg6dKAUHByM4ONgqzxUdHY3XX38dZ8+eRcg/KzZu3boVAQEBaN++vVVeg4iIbnj+eaBJE2D6dKUjcSxaLVBYCNx+u9KRUHW4TKNfZmYmtFotMjMzUVZWBq1WC61WiytXrgAAYmNj0b59ezzxxBP49ddfkZSUhBkzZiA+Ph4+rLJHRGR1RUXAu+/KcgHbtikdjePw85NLvXTtqnQkVB0uUx5g1KhR+Oijjyrt//HHHzFgwAAAwKlTpzBu3Djs2LED9erVw8iRIzF37lzUqVP9hjUuiktEVD3JyTcWWu7RQ8704lqCpBRLr98ukyjZCxMlIqLq+f574J57btzesuVG4uSuhADWrwcGDpSz3sh+WEeJiIgchhDAyy/faEHy9ARmzpT73dmffwLDhwMV5haRA2OiREREVpecLBdi1idGZWXydnKysnEprVUrIDsb+GdECDkBJkpERGRVQsjWI09P4/1sVZIaNwZ8fZWOgqqLiRIREVmVvjWprMx4P1uVgNhY4NNPlY6CaoKJEhERWY2+NclcxWkPD/dtVcrJAbZulZXLyXkwUSIiIqspKQEyMwGdzvT9Oh2QlSWPczc7d8q/ffooGwfVjENX5iYiIufi4yO7186dM95fViZnejVvDkRFyePczc6dQIsWwC23KB0J1QQTJSIisiqNRm7lFRXJGkrTphnXVnInO3dy2RJnxESJiIhsztcX+PVXoGlTpSNRRkEBkJ4OPPus0pFQTXGMEhER2YVGIwtQFhUpHYn97dkjx2f17at0JFRTTJSIiMhunnwSeOIJpaOwv507gaAgoF07pSOhmmKiREREdtO1K/D118D580pHYl+5uUD//lwU2BkxUSIiIrt5/HFZQ2nNGqUjsa/ly4G1a5WOgizBRImIiOwmOBi4/37gww+VjsR+SkpkcmiuCCc5Nv5nIyIiuxo9Ws6AS09XOhL7WLwYaNnSfBFOcmxMlIiIyK4GDwbCwtynVWngQOCll9ii5Kz4n42IiOyqTh05++2zz9yjVEDXrsDTTysdBVmKiRIREdnd6NHApUvAN98oHYltnToFLFgA5OUpHQlZiokSERHZXbt2wLx5QKdOSkdiW1u3ApMns9vNmXEJEyIiUsSUKUpHYHs//wx07gz4+ysdCVmKOS4RESnm/feBjz5SOgrb2bmTy5Y4OyZKRESkmD17XLdMQHY28OefwO23Kx0J1Qa73oiISDErV7rush5Ll8q/rJ/k3NiiREREilGpZOXqtDSlI7EuIWQSCADz58vb5JyYKBERkaL++1+5YOyVK0pHYj3JycDZs/Lf+/bJ2+ScmCgREZGiHnsMuHrVdRaNFQJISLhx29MTmDmTrUrOiokSEREpqlkz4M47XWdJk+Rk4wHqZWVsVXJmTJSIiEhxTz0lp9L/8YfSkdSOEMCMGbIVqTy2KjkvJkpERKS4IUMAtRpYvVrpSGonORnYv1+2IpXHViXnxUSJiIgU5+cnxyp99FHlJMNZCCFbjcyVO/DwYKuSM2KiREREDmH0aOD0abk+mjMqKQEyM80nQjodkJUljyPnwYKTRETkELp3Bzp2lK1KgwcrHU3N+fgAzz8PhITI92JKSIg8jpyHy7QonTx5EmPGjEGLFi3g5+eHVq1aYfbs2SipkLr/9ttvuP322+Hr6wuNRoN58+YpFDEREZWnUgEffwy8+67SkVjm4kXgjTdk/aSuXU1vTZsqHSXVlMu0KB07dgw6nQ4rVqxA69atcejQIYwdOxaFhYWYP38+ACA/Px+xsbGIiYnB8uXLcfDgQTz11FNo0KABnnnmGYXfARERdemidASW++ADOb6KlxPXohLCdYeVvfXWW1i2bBn+/PNPAMCyZcvw0ksvIScnB97e3gCAadOmYePGjTh27JjJ5yguLkZxcbHhdn5+PjQaDfLy8hAQEGD7N0FE5GY++AD44gvnGqtUVga0bg306ye7Dsnx5OfnQ61W1/j67TJdb6bk5eUhMDDQcDs1NRX9+vUzJEkAEBcXh4yMDFy6dMnkcyQmJkKtVhs2jUZj87iJiNxZs2ZAt25AaanSkVTfpk3AyZPA+PFKR0LW5rKJ0vHjx7F48WI8++yzhn05OTkIDQ01Ok5/Oycnx+TzJCQkIC8vz7BlZWXZLmgiIkJMDDB3LuDlpXQk1bdoEXDbbeYHcZPzcvhEadq0aVCpVFVuFbvNTp8+jcGDB+Ohhx7C2LFja/X6Pj4+CAgIMNqIiMi2zp0D3noLKDfywWEdPgz88APw738rHQnZgsMP5n7xxRcxatSoKo9p2bKl4d/Z2dkYOHAgevfujffee8/ouLCwMOTm5hrt098OCwuzTsBERFRr584B//kPcOWKXCx30SLZ0uSIFi8GwsKAYcOUjoRsweETpeDgYAQHB1fr2NOnT2PgwIHo1q0bVq1aBQ8P4waz6OhovPTSSygtLYXXP226W7duRdu2bdGwYUOrx05ERJZp3x7o2RNYuBDIywOmT5cL55qreq2ka9dk/aRyw1/JhTh811t1nT59GgMGDEB4eDjmz5+Pc+fOIScnx2js0WOPPQZvb2+MGTMGhw8fxpdffomFCxdi0qRJCkZORESm9OolkyTAsddJ++gjmciRa3L4FqXq2rp1K44fP47jx4+jaYWKXvoKCGq1GsnJyYiPj0e3bt3QqFEjzJo1izWUiIgcjBDAzp03bnt6ynXSYmMdp1WprAz45hvg3nuda+A51YxL11GyBUvrMBARUfUlJZlexmTLFiAuzv7xmPLzz7Ju0t69spuQHBvrKBERkUsQQrYeeXoa79e3KjnKz/vbbweOHWOS5OqYKBERkUNJTpZjksrKjPeXlTnOWKXCQpmwtW2rdCRka0yUiIjIYehbkzzMXJ08PByjVWnKFDkLj1wfEyUiInIYJSVAZiag05m+X6cDsrLkcUrJywM+/liOTyLX5zKz3oiIyPn5+MjutXPnKt9XVATMmgU8/rg8TimrVsmK4eVWyCIXxkSJiIgcikYjt4qEAJo2BYKC7B+Tnk4HvPsu8NBDQOPGysVB9sNEiYiInIJKBaxerWwMmzcDJ04An36qbBxkPxyjRERETqWwEHjkEWDbNvu/9uLFQPfusmo4uQcmSkRE5FT8/ICzZ4GxY+WiufaSkSELYY4f7zjVwcn2mCgREZFT8fAA3n8fyM217xpr774LhITI1ixyH0yUiIjI6bRqBbz+ukxeyq8JZ0sTJ8oFcJWccUf2x7XeaohrvREROYayMqBvX+DiRUCrlV1yROZwrTciInIrnp7Ahx8CJ08Cc+bY7nV0OmDQIOCbb2z3GuS4mCgREZHTiogAZs8G5s8H9u+3zWtcuSLrNzVqZJvnJ8fGRImIiJzalClAZCTw5Ze2ef6AAFmNu3dv2zw/OTYmSkRE5NS8vIAffgDmzbPu827bBrRuDUyaJJcsIffERImIiJxegwayttHXXwOHDtX++YSQpQdOnAAWLTK/SC+5PiZKRETkEkpLZXJjjeVFkpPl4ryAnF3300+1f05yTlzrjYiIXIKXl0xoAgNr9zzXr8vuNpVKtix5egIzZwKxsazI7Y7YokRERC4jKEgmM998A/z+uxxn1L79zdeFEwJ4803g7rvl4O0jR+Q+QLYo7dsnW5nI/TBRIiIil1JSIluExowBEhKAo0dll1zF8srJycCIEfLfKhWwfr1MigID5TIp5elblVii2f0wUSIiIpfi7S3Xgtu580ZtpX37ZFLUty/wwQdynxDA1atyA4A9e2SCdfp05cHbbFVyX0yUiIjI5fTvDwQHG+9btw4IC5PFIwEgLk7Okqtb98YxM2dWbk3S8/Bgq5I7YqJEREQuJzkZOHfOeN/168DYsTJBMqWkBMjMNF8KQKcDsrLkceQ+OOuNiIhcihCy5cfTU3aZ6d1s9pqPj+xeq5hglRcSIo8j98FEiYiIXEr5GkjllR9nZK5VSaORG5Eeu96IiMhl6FuTOM6IrIWJEhERuQyOMyJrY9cbERG5DI4zImtjokRERC6F44zImtj1RkRERGQGEyUiIiIiM1wqUbr//vsRHh4OX19fNG7cGE888QSys7ONjvntt99w++23w9fXFxqNBvPmzVMoWiIiInJ0LpUoDRw4EP/73/+QkZGBdevW4cSJExg+fLjh/vz8fMTGxqJZs2ZIS0vDW2+9hZdffhnvvfeeglETERGRo1IJ4brVJL755hsMGTIExcXF8PLywrJly/DSSy8hJycH3t7eAIBp06Zh48aNOHbsWLWeMz8/H2q1Gnl5eQgICLBl+ERERGQlll6/XapFqbyLFy/is88+Q+/eveHl5QUASE1NRb9+/QxJEgDExcUhIyMDly5dMvk8xcXFyM/PN9qIiIjIPbhcojR16lTUq1cPQUFByMzMxNdff224LycnB6GhoUbH62/n5OSYfL7ExESo1WrDpuGcUyIiIrfh8InStGnToFKpqtzKd5tNmTIF6enpSE5OhqenJ5588knUpncxISEBeXl5hi0rK8sab4uIiIicgMMXnHzxxRcxatSoKo9p2bKl4d+NGjVCo0aN0KZNG0RERECj0WDPnj2Ijo5GWFgYcnNzjR6rvx0WFmbyuX18fODDEq5ERERuyeETpeDgYAQHB1v0WN0/i/0UFxcDAKKjo/HSSy+htLTUMG5p69ataNu2LRo2bFit59S3TnGsEhERkfPQX7dr3MskXMSePXvE4sWLRXp6ujh58qTYvn276N27t2jVqpUoKioSQghx+fJlERoaKp544glx6NAh8cUXX4i6deuKFStWVPt1srKyBABu3Lhx48aNmxNuWVlZNcovXKY8wMGDB/HCCy/g119/RWFhIRo3bozBgwdjxowZuOWWWwzH/fbbb4iPj8e+ffvQqFEjjB8/HlOnTq326+h0OmRnZ8Pf3x8qlcpq8efn50Oj0SArK4tlB2qA580yPG+W4XmrOZ4zy/C8Waaq8yaEQEFBAZo0aQIPj+oP0XaZRMnZsT6TZXjeLMPzZhmet5rjObMMz5tlbHHeHH7WGxEREZFSmCgRERERmcFEyUH4+Phg9uzZLEVQQzxvluF5swzPW83xnFmG580ytjhvHKNEREREZAZblIiIiIjMYKJEREREZAYTJSIiIiIzmCgRERERmcFEyY6WLFmC5s2bw9fXF7169cIvv/xS5fFr165Fu3bt4Ovri06dOuH777+3U6SOpSbnbfXq1VCpVEabr6+vHaNV3k8//YT77rsPTZo0gUqlwsaNG2/6mB07dqBr167w8fFB69atsXr1apvH6Whqet527NhR6bOmUqmQk5Njn4AdQGJiInr06AF/f3+EhIRgyJAhyMjIuOnj3P27zZLzxu82YNmyZYiMjERAQAACAgIQHR2NzZs3V/kYa3zWmCjZyZdffolJkyZh9uzZOHDgAKKiohAXF4ezZ8+aPH737t0YMWIExowZg/T0dAwZMgRDhgzBoUOH7By5smp63gAgICAAZ86cMWynTp2yY8TKKywsRFRUFJYsWVKt4//66y/cc889GDhwILRaLSZMmICnn34aSUlJNo7UsdT0vOllZGQYfd5CQkJsFKHjSUlJQXx8PPbs2YOtW7eitLQUsbGxKCwsNPsYfrdZdt4Afrc1bdoUc+fORVpaGvbv34877rgDDzzwAA4fPmzyeKt91mq0MhxZrGfPniI+Pt5wu6ysTDRp0kQkJiaaPP7hhx8W99xzj9G+Xr16iWeffdamcTqamp63VatWCbVabafoHB8AsWHDhiqP+c9//iM6dOhgtO+RRx4RcXFxNozMsVXnvP34448CgLh06ZJdYnIGZ8+eFQBESkqK2WP43VZZdc4bv9tMa9iwoXj//fdN3metzxpblOygpKQEaWlpiImJMezz8PBATEwMUlNTTT4mNTXV6HgAiIuLM3u8K7LkvAHAlStX0KxZM2g0mip/bZDEz1rtdO7cGY0bN8agQYOwa9cupcNRVF5eHgAgMDDQ7DH8vFVWnfMG8LutvLKyMnzxxRcoLCxEdHS0yWOs9VljomQH58+fR1lZGUJDQ432h4aGmh3PkJOTU6PjXZEl561t27b48MMP8fXXX+PTTz+FTqdD79698ffff9sjZKdk7rOWn5+Pa9euKRSV42vcuDGWL1+OdevWYd26ddBoNBgwYAAOHDigdGiK0Ol0mDBhAvr06YOOHTuaPY7fbcaqe9743SYdPHgQ9evXh4+PD5577jls2LAB7du3N3mstT5rdSyOlsgBRUdHG/266N27NyIiIrBixQq8+uqrCkZGrqZt27Zo27at4Xbv3r1x4sQJLFiwAJ988omCkSkjPj4ehw4dws6dO5UOxalU97zxu01q27YttFot8vLy8NVXX2HkyJFISUkxmyxZA1uU7KBRo0bw9PREbm6u0f7c3FyEhYWZfExYWFiNjndFlpy3iry8vNClSxccP37cFiG6BHOftYCAAPj5+SkUlXPq2bOnW37Wnn/+eWzatAk//vgjmjZtWuWx/G67oSbnrSJ3/W7z9vZG69at0a1bNyQmJiIqKgoLFy40eay1PmtMlOzA29sb3bp1w/bt2w37dDodtm/fbrZvNTo62uh4ANi6davZ412RJeetorKyMhw8eBCNGze2VZhOj58169FqtW71WRNC4Pnnn8eGDRvwww8/oEWLFjd9DD9vlp23ivjdJul0OhQXF5u8z2qfNQsHmlMNffHFF8LHx0esXr1aHDlyRDzzzDOiQYMGIicnRwghxBNPPCGmTZtmOH7Xrl2iTp06Yv78+eLo0aNi9uzZwsvLSxw8eFCpt6CImp63OXPmiKSkJHHixAmRlpYmHn30UeHr6ysOHz6s1Fuwu4KCApGeni7S09MFAPH222+L9PR0cerUKSGEENOmTRNPPPGE4fg///xT1K1bV0yZMkUcPXpULFmyRHh6eootW7Yo9RYUUdPztmDBArFx40bxxx9/iIMHD4oXXnhBeHh4iG3btin1Fuxu3LhxQq1Wix07dogzZ84YtqtXrxqO4XdbZZacN363yf8HU1JSxF9//SV+++03MW3aNKFSqURycrIQwnafNSZKdrR48WIRHh4uvL29Rc+ePcWePXsM9/Xv31+MHDnS6Pj//e9/ok2bNsLb21t06NBBfPfdd3aO2DHU5LxNmDDBcGxoaKi4++67xYEDBxSIWjn6aesVN/15GjlypOjfv3+lx3Tu3Fl4e3uLli1bilWrVtk9bqXV9Ly9+eabolWrVsLX11cEBgaKAQMGiB9++EGZ4BVi6nwBMPr88LutMkvOG7/bhHjqqadEs2bNhLe3twgODhZ33nmnIUkSwnafNZUQQtSsDYqIiIjIPXCMEhEREZEZTJSIiIiIzGCiRERERGQGEyUiIiIiM5goEREREZnBRImIiIjIDCZKRERERGYwUSIiIiIyg4kSERERkRlMlIjI5QwYMAATJkxQOgwicgFcwoSInNqAAQPQuXNnvPPOO4Z9Fy9ehJeXF/z9/e0ez8SJE3Hq1CmsX7/e7q9NRNbHFiUicjmBgYGKJEkA8Msvv6B79+6KvDYRWR8TJSJyWqNGjUJKSgoWLlwIlUoFlUqFkydPVup6GzBgAMaPH48JEyagYcOGCA0NxcqVK1FYWIjRo0fD398frVu3xubNmw2P0el0SExMRIsWLeDn54eoqCh89dVXZmMpKSmBl5cXdu/ejZdeegkqlQq33XabLd8+EdkBEyUicloLFy5EdHQ0xo4dizNnzuDMmTPQaDQmj/3oo4/QqFEj/PLLLxg/fjzGjRuHhx56CL1798aBAwcQGxuLJ554AlevXgUAJCYm4uOPP8by5ctx+PBhTJw4Ef/3f/+HlJQUk89fp04d7Nq1CwCg1Wpx5swZbNmyxTZvnIjshmOUiMipmRqjVHHfgAEDUFZWhp9//hkAUFZWBrVajaFDh+Ljjz8GAOTk5KBx48ZITU1Fly5dEBgYiG3btiE6OtrwvE8//TSuXr2KNWvWmIxl48aNePrpp3H+/HnbvFkisrs6SgdARGQPkZGRhn97enoiKCgInTp1MuwLDQ0FAJw9exbHjx/H1atXMWjQIKPnKCkpQZcuXcy+Rnp6OqKioqwcOREpiYkSEbkFLy8vo9sqlcpon0qlAiDHJl25cgUA8N133+GWW24xepyPj4/Z19BqtUyUiFwMEyUicmre3t4oKyuz6nO2b98ePj4+yMzMRP/+/av9uIMHD2LYsGFWjYWIlMVEiYicWvPmzbF3716cPHkS9evXR2BgYK2f09/fH5MnT8bEiROh0+nQt29f5OXlYdeuXQgICMDIkSNNPk6n0yEjIwPZ2dmoV68e1Gp1rWMhImVx1hsRObXJkyfD09MT7du3R3BwMDIzM63yvK+++ipmzpyJxMREREREYPDgwfjuu+/QokULs4957bXXsHr1atxyyy147bXXrBIHESmLs96IiIiIzGCLEhEREZEZTJSIiIiIzGCiRERERGQGEyUiIiIiM5goEREREZnBRImIiIjIDCZKRERERGYwUSIiIiIyg4kSERERkRlMlIiIiIjMYKJEREREZMb/A42dYhHCoDq6AAAAAElFTkSuQmCC", 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xr = np.arange(0,3,.1)\n", "yr1 = np.exp(xr)*(np.sin(5*xr))\n", "yr2 = np.exp(xr)*(np.cos(5*xr))\n", "plt.figure(1)\n", "plt.plot(xr,yr1,'-r',lw=3, label='a first curve')\n", "plt.plot(xr,yr2,'--b',lw=3, label='$e^{x} \\cos(5 x)$')\n", "plt.legend()\n", "plt.xlabel('time $t$')\n", "plt.ylabel('$\\int \\, \\cos(t) $')\n", "\n", "plt.figure(2)\n", "plt.plot(xr,yr1*3.,'-.b^',lw=1, label='a second curve')\n", "plt.legend()\n", "plt.xlabel('time $t$')\n", "plt.ylabel('$\\int \\, \\cos(t) $')\n", "\n", "\n", "plt.figure(3)\n", "plt.subplot(211)\n", "plt.plot(xr,yr1,'-r',lw=3, label='a first curve')\n", "plt.legend()\n", "plt.ylabel('$\\int \\, \\cos(t) $')\n", "plt.subplot(212)\n", "plt.plot(xr,yr2,'--b',lw=3, label='$e^{x} \\cos(5 x)$')\n", "plt.legend()\n", "plt.xlabel('time $t$')\n", "plt.ylabel('$\\int \\, \\cos(t) $')\n", "\n", "\n", "plt.figure(4)\n", "\n", "plt.subplot(121)\n", "plt.title('My title')\n", "plt.plot(xr,yr1,'-r',lw=3, label='a first curve')\n", "plt.legend()\n", "plt.ylabel('$\\int \\, \\cos(t) $')\n", "plt.xlabel('time $t$')\n", "plt.subplot(122)\n", "plt.grid(True)\n", "plt.plot(xr,yr2,'--b',lw=3, label='$e^{x} \\cos(5 x)$')\n", "plt.legend()\n", "plt.xlabel('time $t$')\n", "\n", "plt.figure(5)\n", "\n", "a = np.loadtxt(\"sample.dat\")\n", "plt.plot(a[:,0],a[:,1],'-o')" ] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "widgets": { "state": {}, "version": "1.1.1" } }, "nbformat": 4, "nbformat_minor": 4 }