{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(polynomial-collocation-error-formulas)=\n",
    "# Error Formulas for Polynomial Collocation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- Section 3.2.1 *Interpolation error formula* in {cite}`Sauer`.\n",
    "- Section 3.1 *Interpolation and the Lagrange Polynomial* in {cite}`Burden-Faires`.\n",
    "- Section 4.2 *Errors in Polynomial Interpolation* in {cite}`Kincaid-Chenney`.."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "When a polynomial $P_n$ is given by collocation to $n+1$ points $(x_i, y_i)$, $y_i = f(x_i)$ on the graph of a function $f$, one can ask how accurate it is as an approximation of $f$ at points $x$ other than the nodes:\n",
    "what is the error $E(x) = f(x) - P(x)$?\n",
    "\n",
    "As is often the case, the result is motivated by considering the simplest \"non-trival case\":\n",
    "$f$ a polynomial of degree one too high for an exact fit, so of degree $n+1$.\n",
    "The result is also analogous to the familiar error formula for Taylor polynonial approximations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib.pyplot import figure, plot, title, grid, legend\n",
    "from numericalMethods import fitPolynomial, evaluatePolynomial\n",
    "# showPolynomial"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Error  in $P_n(x)$ when collocating with a sufficiently differentiable function\n",
    "\n",
    "```{prf:theorem}\n",
    ":label: collocation-error-formula\n",
    "\n",
    "For a function $f$ with continuous derivative of order $n+1$ $D^{n+1}f$,\n",
    "the polynomial $P_n$ of degree at most $n$ that fits the points $(x_i, f(x_i))$ $0 \\leq i \\leq n$ differs from $f$ by\n",
    "\n",
    "$$E_n(x) = f(x) - P_n(x) = \\frac{D^{n+1}f(\\xi_x)}{(n+1)!}\\prod\\limits_{i=0}^n (x - x_i)$$ (collocation-error-2)\n",
    "\n",
    "for some value of $\\xi_x$ that is amongst the $n+2$ points $x_0, \\dots x_n$ and $x$.\n",
    "\n",
    "In particular, when $a \\leq x_0 < x_1 \\cdots < x_n \\leq b$ and $x \\in [a,b]$, then also $\\xi_x \\in [a, b]$.\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{prf:observation}\n",
    ":label: comparison-to-taylor-error-formula\n",
    "\n",
    "This is rather similar to the error formula for the Taylor polynomial $p_n$ with center $x_0$:\n",
    "\n",
    "$$e_n(x) = f(x) - p_n(x) = \\frac{D^{n+1}f(\\xi_x)}{(n+1)!} (x-x_0)^{n+1},\\, \\text{some $\\xi_x$ between $x_0$ and $x$.} $$(taylor-error)\n",
    "\n",
    "This is effectively the limit of Equation {eq}`collocation-error-2` when all the $x_i$ congeal to $x_0$.\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Error bound with equally spaced nodes is $O(h^{n+1})$, but ...\n",
    "\n",
    "An important special case is when there is a single parameter $h$ describing the spacing of the nodes; when they are the equally spaced values $x_i = a + i h$, $0 \\leq i \\leq n$, so that $x_0 = a$ and $x_n = b$ with $h = \\displaystyle \\frac{b-a}{n}$.\n",
    "Then there is a somewhat more practically usable error bound:\n",
    "\n",
    "```{prf:theorem}\n",
    ":label: collocation-error-formula-equally-spaced-nodes\n",
    "\n",
    "For $x \\in [a,b]$ and the above equaly spaced nodes in that interval $[a,b]$,\n",
    "\n",
    "$$| E_n(x) | = \\left| f(x) - P_n(x)\\right| \\leq \\frac{M_{n+1}}{n+1} h^{n+1}, = O(h^{n+1}),$$ (collocation-error-h)\n",
    "\n",
    "where $M_{n+1} = \\max\\limits_{x \\in [a,b]} | D^{n+1}f(x)|$.\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Possible failure of convergence\n",
    "\n",
    "A major practical problem with this error bound is that is does not in general guarantee convergence\n",
    "$P_n(x) \\to f(x)$ as $n \\to \\infty$ with fixed interval $[a, b]$, because in some cases $M_{n+1}$ grows too fast.\n",
    "\n",
    "A famous example is the \"Witch of Agnesi\" (so-called because it was introduced by Maria Agnesi,\n",
    "author of the first textbook on differential and integral calculus)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def agnesi(x):\n",
    "    return 1/(1+x**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def graph_agnesi_collocation(a, b, n):\n",
    "    figure(figsize=[14, 5])\n",
    "    title(f\"The Witch of Agnesi and collocating polynomial of degree {n=}\")\n",
    "    x = np.linspace(a, b, 200)  # Plot 200 points instead of the default 50, as some fine detail is needed\n",
    "    agnesi_x = agnesi(x)\n",
    "    plot(x, agnesi_x, label=\"Witch of Agnesi\")\n",
    "    xnodes = np.linspace(a, b, n+1)\n",
    "    ynodes = agnesi(xnodes)\n",
    "    c = fitPolynomial(xnodes, ynodes)\n",
    "    P_n = evaluatePolynomial(x, c)\n",
    "    plot(xnodes, ynodes, 'r*', label=\"Collocation nodes\")\n",
    "    plot(x, P_n, label=\"P_n(x)\")\n",
    "    legend()\n",
    "    grid(True)\n",
    "\n",
    "    figure(figsize=[14, 5])\n",
    "    title(f\"Error curve\")\n",
    "    E_n = P_n - agnesi_x\n",
    "    plot(x, E_n)\n",
    "    grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Start with $n=4$, which seems somewhat well-behaved:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_agnesi_collocation(a=-4, b=4, n=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now increase the number of inervals, doubling each time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_agnesi_collocation(a=-4, b=4, n=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The curve fits better in the central part, but gets worse towards the ends!\n",
    "\n",
    "One hint as to why is to plot the polynomial factor in the error formula above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def graph_error_formula_polynomial(a, b, n):\n",
    "    figure(figsize=[14, 5])\n",
    "    title(f\"The polynomial factor in the error formula for degree {n=}\")\n",
    "    x = np.linspace(a, b, 200)  # Plot 200 points instead of the default 50, as some fine detail is needed\n",
    "    xnodes = np.linspace(a, b, n+1)\n",
    "    polynomial_factor = np.ones_like(x)\n",
    "    for x_node in xnodes:\n",
    "        polynomial_factor *= (x - x_node)\n",
    "    plot(x, polynomial_factor)\n",
    "    grid(True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_error_formula_polynomial(a=-4, b=4, n=4)\n",
    "graph_error_formula_polynomial(a=-4, b=4, n=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As n increases, it just gets worse:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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a3aoL71mmHd1RzTqgSg9ddZyaasrzdv9jy0M678hJkqR7/7khb/cLdyF4g7z6Wbob+4eOOkBj85B1825nH9Ggn37iaJWF/Hr67TZ97MfLtKMrkvd1AAAAAHC/R17ZossWL1dPNKETptfogU8dqwmV4byv47J0G4glb2zTpp09eb9/OI/gDfJm084eLXkj1WTr0uOnOraOEw+eoPuvOEZjy4J6dXO7Lrj7OW3exS9AAAAAAP1+/NQ6XfvgCsWTps4+okE/u+RoVYQDjqzloLpKve+gGiVN6b5nNziyBjiL4A3y5ufPbVDSlN53UI0Orqt0dC2zG8fot1cepwPGlGpda7fOv+s5rW7pdHRNAAAAAJyXTJq69dE3dNtjb0pKtV/4zkdmKxRw9vh82QmpN8AffHET7R88iOAN8qIrEtcDyzdJUmbyk9Om11bod1cdq4NqK7Sto08X/Og5vfTOLqeXBQAAAMAh0XhSi36zQj9Jt3u44cxD9NUPHmrrhNzhev9BE3RgTbk6++J66KXNTi8HeUbwBnnx0Eub1dkX19Sacp10cK3Ty8mory7Vb688VkdNHqP23pg+9pNlenzVdqeXBQAAACDPuiJxXX7fcj2yolkBn6Fv/dsR+tSJ05xeVobPZ2TeCF/87AYlk4wN9xKCN7BdMmlqcbou89Ljm1wRtc42piykX35ynk6aMUF9saSuuO9FPfwKkWwAAADAK1o7I/roPcv09NttKgv59ZNPzNWHjprk9LIG+dBRk1RVEtD6tm49sZo3nb2E4A1s98Tq7Vrf1q3KkoA+7MJfgJJUFgroxx+fq/OOPEDxpKnrHnxVdz2xVqZJNBsAAAAoZmu2d+n8Hz2r17e0a1x5SL++4hidNMM91QLZysMBffS9kyVJP3tmg7OLQV4RvIHtrF8qFx7dqHKHurMPR9Dv0zcvOEKXpxuB/fdf3tLnf/Oq+mIJh1cGAAAAwA6Pr9qu837wT72zo0eN40r10FXH6YjGMU4va68uPnaKfIb0zJo2rdrG0BWvIHgDWzXv7tUza9rkM6SPH9vk9HL2yecz9NUPHqqvn/Me+X2Gfv/KFl14zzJt7+hzemkAAAAAcsQ0Tf3k6XW6fPFydUbiem/TOD3y6eM1tabc6aXt06SxZTrtPRMlSb95cZPDq0G+ELyBrazmv0dNHqvGcWUOr2b4Lj62ST+/7L2qLg1qxabdOvv7/9Trm9udXhYAAACA/RSJJ/SF372mW//0ppJmqkLgl5+cp/EVYaeXNmxnH9EgSQxb8RCCN7DV42+lfpnMP8SdNaN7c/z0Gv3h6uM1bUJ5apT43c/qdy9tpg8OAAAAUKA27+rRR+9Zpt+9tFk+Q7rprEN1+4cOUyhQWEfj4w+qUcBnaF1rt97Z0e30cpAHhfUMRUHpiyX0zzU7JEknzZjg8GpGp6mmXA9ffXxmEtV//vZVfebXr6i9N+b00gAAAACMwB9fbdYZ//u0Xt64W1UlAS2+9L269PipMgx3TcMdjqqSoOY2jZXU/4Y5ihvBG9jm+fU71RtLqK4qrEPrq5xezqhVlQT1008crS+cNkN+n6FHX9uqM//3aT2/bofTSwMAAACwD12RuBb9ZoU+++tX1NkX15GTx+jRz7xPJx5cmG8wW05OVzf8Y1WrwytBPuQlePPDH/5QU6dOVUlJiebMmaOnn346H3cLh2VKpmbUFmQ0O5vfZ+jq+dP10FXHacr4Mm3Z3auP/niZ7vzrKsUSSaeXBwAAAGAIL2/cpTP/92n9/uUt8hnSZ0+ert/8x7GaPL5w+nHuyfz0OPNl63aoJxp3eDWwm+1zmx988EFde+21+uEPf6jjjz9ed999t8444wy98cYbmjx5st13D4eYpplpnlWI/W72ZHbjGP3ps+/TzX9cqd+9tFnff3yN/vyvrbrxrPfo/QUeuXdCMmmqL55QTzSh3mjq71giqXjSVCKZVDxhKpE0JUMK+Hzy+wz5fYYCWX/7sj4vCfpVFvKrNOgv+IAhAAAoPPFEUpG49SehSCzr43hSiaQp05RMmUr/J59hKOAf+G+c0qBfZaGASkOpf9sE/RRMjNSO7qj+9x9v6oHlm2Sa0gFjSvWdC2fr6KZxTi8tZ6bXVmjS2FJt3tWrZ9fs0KmH1jm9JNjI9uDNt771LV1++eX65Cc/KUn6zne+o7/+9a+66667dPvtt9t993DI+rZuvbOjR0G/oeOn1zi9nJyqCAd05wVH6KQZE3TTH1ZqbWu3PvGzF3TqzFp9+bSDnV6eo0zTVFtXVC0dfdre2aeWjoi2d0S0vbNPu3qi2t0T0+6emNp7Y9rdE1V3NGHbWkqtQE7I+jugsvRl5eFA6k/64wrr87BfFeGAykLWZf7M18pCBIRyyTRTgTkz83nW12RmXW/Pt2EYkt9I/SOXvQFQCJJJUwnr958pJdK/5HyGZMiQYaR+t/kMQ4bSfxvid5xNTNNUbyyh7khCPdG4uiJxdfXF1R2NqyuSSH0cSV8e6f+4/7JE5uO+WH9wxg5Bv6Hq0qCqS4MaUxbSmNKgqsuCmlAZVm1liWorw6qrSv1dP6ZE4YDflnUUglgiqSe2Gvp/33lGnX2pbJQPHXmAbjr7PaouDTq8utwyDEPzZ9TqF8ve0eOrthO8KXK2Bm+i0aheeuklffnLXx5w+cKFC/Xss88Oun4kElEkEsl83tHRIUmKxWKKxQqzQewfVjTrkRXNmpg0tKBAH8No/O2NbZKko5vGKuwzC3b/9ua0mRN0bNPx+v4T6/SLZRv1tze368nVrTqxzqejO3o0oarwUzGHEo0ntWlXrza0dWv9jh5t2tWjLbv6tGlXr5rbe9UXG10ZWUnQp9KgXyG/L+vdJ5/8vtQBPmma6Yyc1N/JZP/n1mWReP9998YS6o0lpBw13zcMqSzozwR9ykJ+Rbp9emTHSyoPB9NBIL/KQwGVhVOPIxTwKRzwZT4OZX0cDvgU9KeCDn7DkM+n/o/T/1D3GamSPUlKmlIiaSpppv8kUz+T/ss04ONk+uN40lQsYSqezmSyMpvi6ctSXzMVTwz8OPV9Q1x3wPdZlyWHuJ/+jwfeVv91c8k67Fg/s9TPtP9nO+BzQ1lfy/r73dfzpfdC0q6dPv12+4vy+32p+zDSe5e+Tuq+U7cx1OXWfWY+toJO6fW/O4hlBbD6P7e+Pjiwlf01M325aX2efu1kLk9/nEx/zbrOwMtS97/v701dL/mu7zHTz8HsNQz4Pg38/j3uqQYfVoc6v+7xSDvkdYe+dvbtmklT7e1+3btp2ZAH5iEv29MSRnDe3t/b3fN1h3m7e7iB4e7Dnm5iz9cd/oPY39sd6rqmKSWSSW1v9enBluWSjExQJZl+7luBloG/b/s/Nk1TiazftwOum/7+7Ovv75neSP8+yg7oBNKZGgG/oaAv9f/PQPrvoM9QwG9dZijo92WuG/Cl/h8U9PsGfJ65XvprQZ+hYMD6Pp9C2df1999GMOt+Q/7+61u/77J/Rxvv/lzp/8dl/c6yglvZH8eTpqKJVAZLNJ76OBpP/0lnu0TjSUViqUze7nRGb080rs6+mJpb/PrR+mfVG0umvh6JqyeW2OubBPsr6Dcy/+8Pp/8dEEi/4WBk9tTI/P86+/+TfbGkemOJTDAolki9QdbWFdW+/nFjGFJtZViTxpTqgDGlmjS2VFNryjRtQrkOrClXedj29+8dYZqmnny7Tbf/eZXWtfklxfWehkp99cxDNGdKqrFvMZ5JTjxonH6x7B39463tikajngn2tnVF9Pnfvqbu3T4tWFC4+zqS56Str9y2tjYlEgnV1Q2MANbV1Wnbtm2Drn/77bfrlltuGXT5kiVLVFZWmAfhv23y6ZnNPh1fZ2jp0qVOLydvfveGT5JPtfFWPfbYY04vx1azJU08THp4g09vtfv092afnv7m05o3wdSJ9UnVljq9wtGJJ6WWXmlrj5H60yu19Bra2Scl93xckiFTlUGpKiRVBU1Vh1IfVwZNlQWU/mOqzC+VBKSQTwr6Uu867q+kKcWSUiQhRZNSNP13JGn0f5zI+pM0FElIfdmXJQxFkgMvM2XINKXu9D8G+/m0poPG1W5gvYOdkHIeGErxaVX7ThtuF+5kSF0dTi8CeeGTdu9yehHDkh0ITV+iqJMLKjiG1Nm1x6+GfabCfqnEL4X9UthvZj4uyVxuvutzqSR9mfXvmYCR/jsH/7ZJ/b+t/98vvXGpJy51x43031JHzFBHVOqIGmqPSe1RKZY01NIRUUtHRC9t3D3odseETNWVmqor1YC/K4MjCzq7RSwpvdRm6PFmn7b1ph5ARcDUBycnNa92l1pWPqfHVjq8SBtFE1LQ8Gtre59++tCf1VCYx+YR294rPbsuoBJ/YZ+ze3p6hn3dvIRd3x39M01zyIjg9ddfr0WLFmU+7+joUGNjoxYuXKiqqsKcVrTxyXX6y+Y1iielBQsWKBgsrlS9oXRF4vrPFx6XZOrT556oqTXlTi8pLy41TS1duU3f+L/XtKXH0NMthp7Z7tMpMybokuOm6OgpY+XLRYQixxJJU5t29WjVti6t3t6lt1tSf2/Y0bPH1N+ykF9N48s0dXy5Jo9LvaMzaWypDhhbqvqqEoUCxVOXbZqpd7+6o3F1RxLqisTVE02ovSeiZS++omkzDlVfQuqOxFPBnfTXrXcC3/2OYPbnsUQy651FK2Mh9U6u+a53ajNZHD5D/qwsDiuzpP/jgZkdPsNIv0P6rnda3/Xua+ad2qyPB75T60t//q6Ps65rZU31f903+B3hd93nu18Sg//XYAz5NSvDI5GVaWS90229+52dqZTIeuc8+3pmOmOp/7L0bWVlMcXicb362ut6z3tmyfD5BmQ6Zd55z3qX/d2Xm1n7m71e63asx2VkHqfxrs/f/TMyBn3NusR6Z77/ne301waUYfR/3XrXd8Bl6s/8yr6t/uv1r8H3ru/JLvfY4/V8A9exp9fdoMuGvN6Q376H6w7vyvFEQitWrNARs49QwD/wn0lD3cSesoeGvu4eljCCt/7393b3fN1h3u4e1jqy/RliXSPay6GvO9S19/ajNc2k3ly5UocdNkuhYGBA9t6A37dZGXlG9tcHfJyVeZcp59z7da2PrZ+JlcWmrI+t7DdlZbRlZ87tKZNyT1mXsUT686zrDZWVGU1kZWSm/44lk/3fn3Uf2ZfFsu4jnkxmMo+ys/Ksz63fgVJ/Gaz1OyTz87OyF9OZkUNmtGZ/7vepJOhXeThdJh1KlT2H/dKat1bqmLlHqqos3F9Cnc6kLQn4XflvtNEwTVM7e2LasqtXW3b3atOu1J91rd1a19attq6odkcN7Y4aWtU+8HurSgI6qLZCB9VV6ODaCh1cV6HptRUaXx5y5sHsQ1tXRL9evlm/en6TdnSnQpnlIb8uOKpBMxLrdc4Z3jh7SdKju1/Wk6vblKidqTNPnOr0cvJidUuntOI5BYzCPmdb1UbDYWvwpqamRn6/f1CWzfbt2wdl40hSOBxWOBwedHkwGCzYzSgJpdYdNwv7cYzEC6t3KJYwNWV8mQ6aWO2Z1D1JWjirXrF3XtG4mfO0+LlN+sdb2/W3t1r1t7daNbGqRKceWquFh07UMQeOz3uAI5kO0qxu6dLqlk693dKp1S1dWtvaNaDcKFtlSUCHTKzUwXWVmjGxUtMnVOjACRWqqwp7al9DIanqXTHIWCym6AZTZ86bYvvrek8Bb+RHLBZTaOtrOnNuoyd+h3tdLBZTYuMrOn1WA/td5GKxmB5r/ZfOnMNr20n5+H+ctdcnz5zoib2eGApp4phyzRnia7t7olrb2qW127u1prVLa7d3aU1rlzbt7FFHX1wvbdw9KFunpiKkg+v6/z2Y+rhClSX5/1luaOvW0jdatPSNFr34zs5MALChukSXHN+kjxw9WWUB6bHH1nvm7CVJp8ys05Or2/TUmh265hRv9OBMKtXXye8r7HP2SNZta/AmFAppzpw5Wrp0qc4777zM5UuXLtU555xj5127hnVAtyWL36WKaUT4aBiGdOyB43XijIlas71LP/vnev3hlS3a1tGnXy7bqF8u26jKcEAnHjxBsxvHaGZ9lQ5tqNK4HL2r0d4b06adPdq8q1fr27pTQZrtnVqzvWuP/WhKgj4dVGv9T7lCMyZWaUZdpeeCNG7FHgAAihX/j8uvMWUhzZkyTnOmDJy41BdLaH1bt1a3dGp1S2cqI7ulU5t29aR77ezQs2sHloo3VJfo4ImVmlFXqem1FZo8rkyN48pUV1WS6dm3P6LxpNa2dumN5g6tbO7QM2tatbplYOnb7MYxuuyEqTpj1sTMRK5i7GuzL6mR4Sv10ju71N4TU3VZYQYyRiKaSJ1rAh76FWJ72dSiRYt08cUXa+7cuTr22GN1zz33aOPGjbryyivtvmtXsII3e0hsKDrFOiJ8tKbXVugb5x2mm846VM+u3aElK1PvFLR1RfSn17fqT69vzVx3YlXqf4ATKsIaVx7UuPLU31Ulwf7miek/kVhSO3ui2tUd1c7umHb1pCY8We+a7Eko4NO0Cak02IPrKnVQbervxnFlOfmfLAAAAApPSdCvmfVVmlk/sFVFTzSuNdu7tGpbOqjT0qXV2zq1raNPze2pP0+sah3wPUG/oYYxpWqoLtW4ipDGlYU0tjykcWVBVZYEUyWE6TJvv2EomkhqZ3d0wJ+NO3v0dktX5oBu8fsMHXPgOC08dKJOPbROB4wp0OaSOdY4rkzTayu0ZnuXnl7Tqg8e3uD0kmwXTR+wi6hbwz7ZHrz5yEc+oh07duhrX/uatm7dqlmzZumxxx7TlClT7L5rVwj5vRW8eWNrh1o6IioN+jVv6rh9f4NHhAN+zZ9Rq/kzanXbubO0YvNu/fPtNr25rUNvNHdow44ebevo07aOvpzc3/jykCaNLdXk8eU6uLZCB6XTW6eMLydIAwAAgGEpCwV0+KQxOnzSmAGXt/fG9HZLp1a1dGr1tk6tbe1OTyDtVSxh6p0dPXpnx/Abse5JZUlAh6az1Gc3jtFJB9d6IqtkNE4+pFZrtnfpH29t90bwhswbe3z605/Wpz/96XzclesEPVY2ZUXej58+XiVBv8OrcSefz9BRk8fqqMljM5d1ReJ6a2uH1rZ2aWd3TDu7I5mMms6+WKZ5qNXEL+j3aWxZSOPKg+l3MkKqqQircVyZJo0tLdoRkAAAAHBedWlQc5vGaW7TwDdrE0lT29LZ4Nva+7SzO6pdPdHM35198XST//7m1X6fkcnQGVee+jOxukSH1ldp0thSSuuG6aQZE3TPU+v05KpWJZNm0TTh3pMYmTfItUzmjVncLx7LP96iZGo0KsKBIf8HCAAAABQKv8/QAWNKKWdywNFN41QRDmhHd1SvbWnX7MYxTi/JVl7MvPFQnMoZYQ/1vOnsi+mVjbskSSfNIHgDAAAAAPkQ9Pv0voNqJElPr27dx7ULn9Xzxu/zSImLCN7YLpjJvHF4IXnw+pZ2JU0RbQcAAACAPLOy+F/dvNvZheQBmTfIucyocA9k3ry6qV2SdERjtcMrAQAAAABvmZ0+h63Y1C7TLO7sAS9Om/LQQ3VGZlR4cb92JEmvbtotSTriXd3oAQAAAAD2ek9Dtfw+Q21dETW352aKrVtlgjdk3iBXgv7Us8kLPW+s9Lwjirw5FgAAAAC4TUnQr0MmVkrqf2O9WFllU34PRTQ89FCdEfZI5k1LR5+2tvfJZ0iHHUDZFAAAAADkm/VGerEHb2Jk3iDXQn6/pOLPvLF+ORxcV6nyMBPoAQAAACDfZqdbWKwo8uBNpmGxhyIaHnqozvBKz5tMyRT9bgAAAADAEVbmzetb2pVIFu8hlJ43yDmr503SNJQs4hdP/6SpMc4uBAAAAAA8anpthcpDfvVEE1qzvcvp5diGnjfIuVBWHlesSOeFJ5NmVrNi+t0AAAAAgBP8PkOHTUqdyYq5701/5k3xJki8G8Ebm2UHb6JFGrxZv6NbnX1xlQR9Oriu0unlAAAAAIBnWdUQK9JvsBejTPDGQxENDz1UZwR92cGb4owKWhHdWQ3VCnopbw0AAAAAXMZqWlzMmTdWVQs9b5AzPp+R6XsTLdKRU9YvBfrdAAAAAICzrHPZW9s61RdLOLsYmzBtCrYIpbNRirVsasVmmhUDAAAAgBvUV5doQmVYiaSplc3tTi/HFkybgi2sUqJizLyJxBN6s7lDUn96HgAAAADAGYZh6Ij02WzFpuIM3kTiTJuCDaymxcU4berNrZ2KJpIaVx5S47hSp5cDAAAAAJ43Oz0FeEWR9r2h5w1sESrinjeZfjeTqmUYHnrlAAAAAIBLWS0tirVpMdOmYAsr86YYe97QrBgAAAAA3OXwA8ZIkjbu7NHO7qizi7FBlMwb2MHqeRMrwlHhKzbvlkTwBgAAAADcorosqANryiVJr6bPbMUkFk+drel5g5zKZN4UWdlUe29M61q7JSnTEAsAAAAA4LxiLp3qz7wpvgSJPSF4kwehIp029Xp6RPjkcWUaVx5yeDUAAAAAAMsRk1JNi4syeEPPG9ghmG5YXGzTpl6lZAoAAAAAXCmTebO5XaZZXBkq9LyBLYq1YfGKrElTAAAAAAD3mFlfpaDf0M7uqDbv6nV6OTlF5g1s0V82VVzRTiv9bjaZNwAAAADgKiVBv2bWV0mSXimy0qlM8IbMG+RS/7Sp4sm82dkd1fbOiCTp0IYqh1cDAAAAAHi39zSkqiRWbetweCW5ZZ2t/QRvkEvFWDa1ZnuXJGnS2FKVhQIOrwYAAAAA8G4H1VZI6j+/FYNk0lQ8mapqoWwKOVWMo8Lf3t4pqf+XAQAAAADAXQ6qS53X3i6i4E12UgTBG+SUNW2qqII3LakX/0F1lQ6vBAAAAAAwlINqU+e1d3b0KBJPOLya3IhknavpeYOcCmV63hRPw2Ir7W46mTcAAAAA4Ep1VWFVhgNKJE1taOtxejk5kd1Llp43yKli7HljlU0RvAEAAAAAdzIMQ9MzpVOdDq8mN6yKlqDfkEHwBrnUPyq8OII3HX0xtXSkJk0RvAEAAAAA95o+obiaFlvn6pCXGt6I4E1eFNuocOtFP7GqRFUlQYdXAwAAAADYk2JrWmydq60kCa/w1qN1SLFNm1qTaVZM1g0AAAAAuJnVtNg6xxU6q2ExwRvkXLH1vKHfDQAAAAAUBuvctq6tS/EiOJNa5+ogZVPINWtUeLFMm3qbSVMAAAAAUBAOGFOq0qBfsYSpjTsLf+JULJN546FuxSJ4kxfF1rD4batsKp1+BwAAAABwJ5/PyLzxXgx9b6L0vIFdiqlsqica15bdvZKkg8i8AQAAAADXs4I3xTBximlTsE2wiDJv1m7vliTVVIQ0tjzk8GoAAAAAAPuSybxp6XR4JfvPOlcHybxBrlkRwWIYFU6zYgAAAAAoLAcVY9kUmTfItWLqeUOzYgAAAAAoLAfVpfqVrm3tUjJZ2IN0oowKh11CgVQX7GLoeUOzYgAAAAAoLI1jSxUK+NQXS2Z6mBYqMm9gm0zPmyIYFb4mXTZFs2IAAAAAKAwBv08H1pRL6m+FUahimZ43jArPmdtuu03HHXecysrKNGbMGDvvytWsdK5YgZdN9cUS2rizR5I0vY7gDQAAAAAUiv6mxYXd94ZR4TaIRqO64IILdNVVV9l5N65XLKPC17d1K2lK1aVBTagIO70cAAAAAMAwWa0vCr1psVdHhQfsvPFbbrlFkrR48WI778b1Mg2LCzx4k92s2DC8laIGAAAAAIXsoHT1xJpCD96k25EwKhw5l8m8KfCyqTUt9LsBAAAAgEJknePWbO+SaRZuP1Yyb1wgEokoEolkPu/o6JAkxWIxxWIxp5a13wwzIUmKJUxFo9GCzVpZtS21HwfWlBX0ftjJ+rnw8yl+7LV3sNfewn57B3vtHey1t7Dfe9ZQFVLAZ6grEtemHV2qry5xekmj0hdN7a3fMCWzsPd6JGs3zBGG3G6++eZMOdSeLF++XHPnzs18vnjxYl177bXavXv3qG77/vvvV1lZ2UiW6So9cen65ak42TfnxVWoAcLbV/i1rdfQlTMTmjmmcCO1AAAAAOBF31jhV0uvoatmJnRIgZ7pfrPOp3+2+HTapKTObCzs6paenh5ddNFFam9vV1VV1V6vO+LMm2uuuUYXXnjhXq/T1NQ00puVJF1//fVatGhR5vOOjg41NjZq4cKF+3wgbtbZ06frlz8lSTp5wUJVhF2V8DQssURSn3/+75JMffTMk9QwptTpJblSLBbT0qVLtWDBAgWDQaeXAxux197BXnsL++0d7LV3sNfewn7v3Z/aV2jJG9s1buqhOvPYKU4vZ1SeeWSl1LJFhxw0Tep7u6D32qo2Go4RRxFqampUU1Mz0m8blnA4rHB48BSjYDBYsJshSeUl/RFN0/AX5GN5Z1en4klT5SG/JtdUFmzpV74U+nMWw8deewd77S3st3ew197BXnsL+z20GROrtOSN7VrX1luwPx+rlWxpOCj1FfZej2TdtqaAbNy4UTt37tTGjRuVSCS0YsUKSdL06dNVUeGdprc+nyGfYSppGgXbtPjtFiZNAQAAAEAhm55pWtzp8EpGL9Ow2GPTpmwN3tx444267777Mp8feeSRkqTHH39cJ510kp137ToBQ4qaqfKjQtQ/JrzS4ZUAAAAAAEbjoPR5bnVLauJUIb4xH02fqRkVnkOLFy+WaZqD/ngtcCOlgjeSFCnUzJt08OagOu9kTAEAAABAMTlwQrl8htTeG1NbV9Tp5YxK/6jwwgs87Q9vhaocZE2YKtSyqTVW5s0EgjcAAAAAUIhKgn41jktNcrbOeIXGq2VT3nq0DvKng4KFWDaVTJpa15p6YU+rJXgDAAAAAIXKekN+bWthBm9ilE3BTpnMmwIM3rR2RRSJJ+UzpEljGREOAAAAAIVq8vhU5s2mnT0Or2R0rDN1KOCtcIa3Hq2DrHK8Qiyb2ph+UTeMKfVcdBMAAAAAisnkdNnUxkIN3sQJ3sBG/gLuebNxR+pFPSUdoQUAAAAAFCbrXFfowZugn4bFsEEm86YAy6asF7UVoQUAAAAAFKZM5s2OHpmm6fBqRi5TNuWxqhBvPVoHBXypF0UhZt5YtZCNBG8AAAAAoKBNGps613VG4mrvjTm8mpGjbAq2KoaeN2TeAAAAAEBhKwn6VVcVllSYpVNRpk3BTlZQsBBHhRO8AQAAAIDiUchNi2Nk3sBOhdrzpjea0PbOiCSCNwAAAABQDKyWGO/sKLzgDT1vYKtCnTa1eVfqxVxZElB1adDh1QAAAAAA9pf1xvymAsu8SSZNxRKpfrJk3sAWhZp5k10yZRjeGsUGAAAAAMWoUMumYsn+83SIUeGwQ6BAM2+sNDpKpgAAAACgOBRq8Cb7PE3ZFGxRqNOmaFYMAAAAAMXFOt817+4tqKE62edppk3BFoXa88aqgWwkeAMAAAAARWFCZVjhgE9JMxXAKRRWG5KAz5DPR9kUbGBl3hRSVFMi8wYAAAAAio1hGAVZOhWLe7NZsUTwJm8CvtSTrJAaFpummXkhTxlP8AYAAAAAioV1xiuk4E00kZBE8AY2sjJvIgVUNtXaGVEknpTPkBrGlDq9HAAAAABAjjQWYOaNdZ72Wr8bieBN3ljPLWsmfSGwXsQNY0o9+eIAAAAAgGJllU1tKqDgjXWe9tqkKYngTd70T5tKOLuQEaDfDQAAAAAUp0LseWMNAApTNgW7BApw2hTBGwAAAAAoTtY5750dPTLNwqgQsc7T9LyBbfqnTRXGi0LqD94wJhwAAAAAisuksalzXmdfXO29MYdXMzzW9GYvtvXw3iN2SCFm3mwi8wYAAAAAilJpyK/ayrCkwimdipB5A7tlpk0V0KhwyqYAAAAAoHgVWt+baPo8TcNi2CYzbapAMm/6Ygm1dEQkEbwBAAAAgGJUaMEb6zwdJPMGdslMmyqQzJvNu1Iv3spwQGPKgg6vBgAAAACQa40FNi6czBvYLuBLNSoulJ432c2KDcNweDUAAAAAgFwrtMwbRoXDdpnMmwIJ3ryzg343AAAAAFDMJo8vzOBN0O+9BAOCN3mS6XlTIGVT1ot3yniCNwAAAABQjKak36xv3t1XEGfVTNkUmTewS6Fl3mzKKpsCAAAAABSfCZVhhQM+JZKmtu7uc3o5+xRlVDjsZj23CmVUOGPCAQAAAKC4GYaROfO9s7Pb4dXsW3/DYr/DK8k/gjd5YmXexBJJmabp7GL2wTRNgjcAAAAA4AGF1LS4f1Q4PW9gEyvzxjSleNLdwZvWroj6Ykn5DKlhTKnTywEAAAAA2KSxgII3VuZNmFHhsEt2YNDtfW+sfjf11aWerCUEAAAAAK+wMm82FULwhp43sFt2YNDtXbwpmQIAAAAAbyiksikr8yZI5g3s4jckX4FMnNq4o1cSwRsAAAAAKHaTx6eDNzsKIHhD5g3ywXqCRdwevLEyb8YTvAEAAACAYtY4NnXu6+iLq70n5vBq9o7gDfLCSu2Kurxsyqp1bCTzBgAAAACKWmnIrwmVYUnuL52ibAp5EUo/wQql503jWCZNAQAAAECxK5S+N9ZZOkzmDexkpXa5uedNLJFUS2efJOkAgjcAAAAAUPQaxqTOfs27ex1eyd5lyqbIvIGdrCeYm4M3LR19Ms3UWmvKw04vBwAAAABgs4YxJZKk5vYCCd6QeQM7Bf2pcVNu7nmztT2VdTOxukQ+azwWAAAAAKBoNVSnMm+27u5zeCV7F02Ykuh5A5sVQtmUlSZXX13i8EoAAAAAAPlgnf+2uj7zJiGJzBvYrDCCN6lIq1XzCAAAAAAobtb5b4vrM28om8q5DRs26PLLL9fUqVNVWlqqadOm6aabblI0GrXrLl0vmJk2ZTq8kj2zIq1WzSMAAAAAoLhZwZu2rogi6ewWN4rFU2dpLzYsDth1w2+99ZaSyaTuvvtuTZ8+Xf/61790xRVXqLu7W3feeaddd+tqmYbFCfe+GKzMm/pqMm8AAAAAwAvGlgUVDvgUiSfV0h7R5PFlTi9pSF7OvLEteHP66afr9NNPz3x+4IEHatWqVbrrrru8G7wJpBsWu7psiswbAAAAAPASwzDUMKZU69u6tWV3r3uDNx4eFW5b8GYo7e3tGjdu3B6/HolEFIlEMp93dHRIkmKxmGKxmO3rs4u19oCRCt70Rtz7eKyyqdryoGvX6GbWz4yfXfFjr72DvfYW9ts72GvvYK+9hf0evfqqsNa3dWvzzi7FJlc5vZwhWSVdhpkoir0eydoN0zTz0oBl7dq1Ouqoo/TNb35Tn/zkJ4e8zs0336xbbrll0OX333+/ysrcGfkbiftW+/TyDp/Oa0ropHr39b2JJqQvvJCK591+dFxleQ3tAQAAAACc8qs1Pr3Q6tMHGhNaOMl951XTlK5dljqkfn1OXFUhhxeUAz09PbrooovU3t6uqqq9B8xGfDzfU4Al2/LlyzV37tzM583NzTr99NN1wQUX7DFwI0nXX3+9Fi1alPm8o6NDjY2NWrhw4T4fiJvFYjEtXbpUkyc16OUd2zTtoEN05olTnV7WIOtau6UX/qnykF8fPmuBjHSmEIbP2usFCxYoGAw6vRzYiL32DvbaW9hv72CvvYO99hb2e/RW/32NXnhinaomTtGZZx7q9HIGicaT0rK/SZLOPG2BSgMq+L22qo2GY8TBm2uuuUYXXnjhXq/T1NSU+bi5uVnz58/Xscceq3vuuWev3xcOhxUOhwddHgwGC3YzsoWDqR93wjRc+Xhau+OSpPoxpQqFiiCM6aBiec5i39hr72CvvYX99g722jvYa29hv0du0rhySdK2jogrf3aRZDzzcVlJWAEj1f+mkPd6JOsecfCmpqZGNTU1w7ruli1bNH/+fM2ZM0f33nuvfD7vNRXKZnXEjiXc2bC4OTMmnElTAAAAAOAl1jlwa3ufwysZWixr8E8o4FPSpedqu9jW1aS5uVknnXSSJk+erDvvvFOtra2Zr02cONGuu3W1kD89bcqlT7LMpKlqJk0BAAAAgJdY50DrXOg21jna7zPk9xlKJhxeUJ7ZFrxZsmSJ1qxZozVr1mjSpEkDvpanHsmuY2XeuHVU+NbdqQhrfTWZNwAAAADgJfXpzJuOvri6InFVhN01wcbLY8IlybZHfckll8g0zSH/eFUw/SRzbeZNpmyKzBsAAAAA8JKKcEBVJamAzVYXZt9Y5+ig35uDdbwZsnKIFSF0beZNuraRnjcAAAAA4D3WWbDZhX1vMpk3Ab/DK3EGwZs8cnPZlGmamdrGenreAAAAAIDnWGdBV2bepM/R4YA3wxjefNQOyTQsdmHwpqM3rp5oquMTPW8AAAAAwHusvjdubFpM2RTyxs2jwq1+N+PKQyoNeTMNDQAAAAC87AAXl03FMmVT3gxjePNROyTk4obFlEwBAAAAgLdlyqba3Zd5E0kQvEGeWNOmIi4sm7Iiq5RMAQAAAIA3WefB5t3uy7yx2o8EGRUOu7m5bMpqSMWYcAAAAADwJus82Ly7V6ZpOryagaxzdIjgDezm5mlTzZngDZk3AAAAAOBFE9NlU5F4Urt6Yg6vZqAoPW+QL5meN24M3mTKpsi8AQAAAAAvCgf8qqkIS3LfxClGhSNvrJFmriybaifzBgAAAAC8Lrt0yk1iCXreIE/cWjaVTJrals68IXgDAAAAAN7VkG5avNVl48IjlE0hX9w6KrytK6JYwpTPkOoqw04vBwAAAADgkHor88Zl48KjNCxGvrh1VLjV76a2skQBj74QAAAAAABZmTcuGxeeGRVO5g3s5tZR4daY8HrGhAMAAACAp9W7vOcNmTewnVt73mxhTDgAAAAAQP3nQrf1vGHaFPLGmjaVNKW4i7JvrBdlA2PCAQAAAMDTrLKpbR19SiRNh1fTL1M2ReYN7Jad3hVLuOdFYI0Jr68m8wYAAAAAvGxCZVgBn6FE0tT2Tvdk30TTZ2imTcF22U8yN5VObdnNmHAAAAAAgOT3GaqrsvreuCh4w6hw5EvAZ8hIVU4pkkg4u5gsWzM9byibAgAAAACvs86GW100LpxR4cgbwzAy9XluKZuKxpNq7YpIomwKAAAAANB/NnTTuPAYo8KRT2G/uyZOtXT0yTRT0cvx5SGnlwMAAAAAcJg1LnyLi8aFW5k3YTJvkA9uGxfenH4x1o8pkc9nOLwaAAAAAIDTDsiMC3dR8IaeN8inoMsyb6wx4fWMCQcAAAAAKKtsqt09ZVOMCkdeZTJvEu4I3jSnI6kN9LsBAAAAAKj/zf1mF5ZNkXmDvHBz2RQAAAAAAA3psqm2rqgicXdMSqZsCnmVKZtySeaN1T3cenECAAAAALxtbFlQJcHU2XWbS0qnrDN00O/NXq0Eb/LMihLG3JJ5k34hUjYFAAAAAJAkwzAyZ0S3TJyKWdOmyLxBPoRdlnnT0pEK3kykYTEAAAAAIM06I1pnRqdlyqb8fodX4gyCN3kWDKRSvNzQ8yYST2hnd1SSNLGK4A0AAAAAIMU6I7Z0RBxeSUpm2lSAsinkQchFmTfb0y/CkN+nMWVBh1cDAAAAAHCL2iqXZd5Y06YYFY58cNO0KetFWFsVlmF4M3oJAAAAABisriosyUXBG6ZNIZ9CgVR9njuCN6nMG0qmAAAAAADZ3FQ2ZZpmf+YNwRvkgzXWLOaCsqlt6QhqHcEbAAAAAEAWq2zKDaPCE0lTppn6mLIp5EXYRWVT2wneAAAAAACGYE2b2t7ZJ9OKnDgku2csmTfICzc1LG7JBG/CDq8EAAAAAOAmEypS58RYwsxMKXZKdvIDmTfIi6DfPZk3VtmUFVEFAAAAAEBKZbjUVIQkOd/3xjo/G4bk93lz2A7BmzzLTJtyQeaNNSq8tpLgDQAAAABgIOus2NLpbN+b7DHhXp2UTPAmz9wyKtw0zayGxZRNAQAAAAAGyowLd7hpsdfHhEsEb/LOLWVTXZG4eqIJSTQsBgAAAAAMZrXYcLxsKivzxqu8+8gdYk2bcnpUuNWsuDIcUHk44OhaAAAAAADuY5VNWVUbTonFU9OuyLxB3ril540VOa2jWTEAAAAAYAiZceEOB2+iiVTVCMEb5E3IJWVTjAkHAAAAAOyNdV50OvMmEqdsyruP3CGZnjcJ09F19DcrJvMGAAAAADCYdV50uudNLH1+DhK8scfZZ5+tyZMnq6SkRPX19br44ovV3Nxs5126Xv+0qYSj67DGhBO8AQAAAAAMxTov7uiOONq3lWlTNgdv5s+fr9/85jdatWqVHnroIa1du1bnn3++nXfpem4ZFb4tPeqtrpKyKQAAAADAYOPKQgr6DZmm1NrpXPYNwRvJ1jFD1113XebjKVOm6Mtf/rLOPfdcxWIxBYNBO+/atTI9b5xuWNyZCt5MpGExAAAAAGAIPp+h2soSbdndq5aOPjWMKXVkHZmGxZRN2W/nzp361a9+peOOO86zgRupP1JojTpzilU2VUvZFAAAAABgD2rTTYtbHGxazKhwmzNvJOlLX/qSvv/976unp0fHHHOMHn300T1eNxKJKBLpT8Xq6OiQJMViMcViMbuXahtr7bFYTD6lMm4i8YRjjymZNDMvvJqyQEH/bN0me69R3Nhr72CvvYX99g722jvYa29hv3OvtiIkSWre1ePYz7UnmrrfgG/wHhfyXo9k7YZpmiNKAbn55pt1yy237PU6y5cv19y5cyVJbW1t2rlzp9555x3dcsstqq6u1qOPPirDMIZ92/fff7/KyspGskzXeqdT+ta/AhobMnXzHGeaFnfGpP/3YkCGTH1zXkIezjwDAAAAAOzFQ+t9emqbT6c2JHXWFGfafzyx1dDDG/w6anxSnzjY2RYkudTT06OLLrpI7e3tqqqq2ut1Rxy8aWtrU1tb216v09TUpJKSweU4mzdvVmNjo5599lkde+yxg74+VOZNY2Oj2tra9vlA3CwWi2np0qVasGCB1rT16ewfPqcJFSE9+6WTHFnPyuYOnXvXMtVUhPScQ2soVtl77eXyQC9gr72DvfYW9ts72GvvYK+9hf3OvbufWq87l76t82bX638+fJgja7jn6fW6Y8nbOu/IBv3Ph2ZJKo697ujoUE1NzbCCNyMum6qpqVFNTc2oFmbFibIDNNnC4bDC4cHTj4LBYMFuRrZgMKiyklSUMJowHXtMO3vjklJj34rh5+pGxfKcxb6x197BXnsL++0d7LV3sNfewn7nTsPYVBVMa5dzg4cSZqpypyQYGLSGQt7rkazbtp43L7zwgl544QWdcMIJGjt2rNatW6cbb7xR06ZNGzLrxivCLhgVvq09FTyro1kxAAAAAGAvrHPjNgcbFlvn57CHGxbb9shLS0v1+9//XqeccopmzJihyy67TLNmzdKTTz45ZHaNVwTTDWZiDo4Kt5oVE7wBAAAAAOyNdW50dNpU+vwc9A/unesVtmXeHHbYYfrHP/5h180XLGu0WTxpKpk05fPl/8m3vdMK3ng3iAYAAAAA2Dfr3NjZF1dPNK6ykO1DqweJpDNvvDwq3LuP3CHZT7aoQ9k329pTwZuJZN4AAAAAAPaisiSo8pBfktTSMXT/WrtZZ+eQ3+/I/bsBwZs8y07zijjU98Z6wVE2BQAAAADYl0zfm3ZnSqesnjfBgHfLpgje5FnI3/8jd6rvDT1vAAAAAADDZZ0drRYc+RbLZN54N4Th3UfuEMMwMk84JyZOReNJ7eiOSqLnDQAAAABg36yzo1NNi5k2RfDGEVbplBPBGytSGvQbGlsWyvv9AwAAAAAKS3/ZlEM9b6yyKTJvkE9W02Inyqasfje1lSWOTLoCAAAAABSWzLhwh8qmMg2LybxBPllPOCcaFm/vYEw4AAAAAGD4MsEbhxsWE7xBXllPOCdGhW9LB28mVtOsGAAAAACwbxOr0z1vnM68oWwK+WTV6cUcyLzJLpsCAAAAAGBfrPNjS0dEpmnm/f6tliNBMm+QT5lpU470vCHzBgAAAAAwfLXpthvReFK7e2J5v//MtCkyb5BP1ngzJ6ZNtdDzBgAAAAAwAuGAX+PKU9OKnSidoucNwRtHWGVTzgZvyLwBAAAAAAxP/7hw54I3jApHXjnZsNjqeUPwBgAAAAAwXFb1xvb0mTKfoolUnx0yb5BXIYfKproicXVF4pII3gAAAAAAhq8u3bTYmmCcT9F4QhLBG+RZ0KGGxVbJVEU4oIpwIK/3DQAAAAAoXHXV1sQpB4I3jAoneOMEK1qY71Hh1ouslmbFAAAAAIARsMqmnAjexCibInjjhLDDmTcTKZkCAAAAAIyAdY5syXPPm0TSVCKZDt6QeYN8cmraFM2KAQAAAACjUVflTNlU9rk5SOYN8ql/2pSZ1/tlTDgAAAAAYDSsc2RbV0TxPFaRZFeskHmDvLKCN5F0x+x86Q/e0PMGAAAAADB848tD8vsMJU2prSuat/sdkHnjN/J2v25D8MYBZSG/JKk3mu/gDWVTAAAAAICR8/kM1VamEgHyOS68JxqXlDpHGwbBG+RReXpMd1ckntf73dZO2RQAAAAAYHSc6HtjnZutc7RXEbxxgPWk685j8MY0TW3vpGwKAAAAADA6TowL746kKlYqCN4g3yrCqbIp60mYDzu7o4qlGyTXVpJ5AwAAAAAYmYkOZN50ZzJv/Hm7TzcieOOA8lD+y6asfjfjy0OZhskAAAAAAAxXbSZ4E8nbfWbKpkJk3iDPKhwom2rppN8NAAAAAGD0nMy8oWwKeedEz5uWdvrdAAAAAABGj4bFziF44wAnpk0xJhwAAAAAsD+sZABrknE+WL1iCd4g7zJlU9GETNPMy31u66BsCgAAAAAwenXVqfNkR19cvdH8DODpjlplUzQsRp5ZXbITSVOReDIv97md4A0AAAAAYD9UhgMqDabOs/kqnaJsKoXgjQOyu2R39uWndMpqWDyxmp43AAAAAICRMwxDE6vz2/emq4+GxRLBG0f4fIbKQ6loZb6aFm9rT/W8qa0k8wYAAAAAMDq1lem+N3kK3jBtKoXgjUPy2bQ4lkhqR3cqeGNFSQEAAAAAGCnrTLk9PRTHbpRNpRC8cUhFHseFt3ZGZJpSwGdoXFnI9vsDAAAAABSnfI8L729YTPAGDijPTJyyP3hjvahqK8Py+Qzb7w8AAAAAUJzyXzbFqHCJ4I1jrIlTXRH7x6tZwZs6SqYAAAAAAPvBubIpRoXDAfksm2pJv6jqaFYMAAAAANgPVtkUDYvzi+CNQ8rzGryxxoQTvAEAAAAAjN7ErJ43pmnael/JpKmeKGVTEsEbx+Rz2pQVEa2tCtt+XwAAAACA4jUh3fMmEk+qvTdm631l94gl8waOyGfZlFWLaEVIAQAAAAAYjZKgX2PLgpL6W3TYxWpW7PcZCge8Hb7w9qN3UHnIyryxv2GxlXlTR/AGAAAAALCf8jUuPNOsOOSXYXh7cjLBG4dYnbLz2fOmjrIpAAAAAMB+qs1T02KaFfcjeOOQypL89LzpicbV2Ze6DzJvAAAAAAD7a2I6MWB7njJvKkoI3hC8cUi+GhZbNYhlIT/RSgAAAADAfsvXuPBM2RRn2fwEbyKRiGbPni3DMLRixYp83KXr5WtUeGZMeFWJ52sEAQAAAAD7r7/njd0NiymbsuQlePPFL35RDQ0N+birgpGvaVMtjAkHAAAAAORQvhoWd2caFhO8sT148+c//1lLlizRnXfeafddFZR8TZvKzrwBAAAAAGB/TczbtKnUeZmyKcnWn0BLS4uuuOIKPfLIIyorK9vn9SORiCKR/rSrjo4OSVIsFlMsFrNtnXaz1p79GMJ+U5LUHbH3sTXv6pEk1VSECvpnWCiG2msUJ/baO9hrb2G/vYO99g722lvY7/wYV5aantzaGVFfJCq/z54WHR296R6uQWPQnhbDXo9k7YZpmqYdizBNU2eeeaaOP/54/b//9/+0YcMGTZ06Va+88opmz5495PfcfPPNuuWWWwZdfv/99w8r+FNIumLSV15Mxc6+fUxcNj3XtXi1T6/s8Om8poROqrdlqwEAAAAAHpI0pc8v8yspQ1+bE1d1yJ77eWi9T09t8+nUA5I6a3LSnjtxUE9Pjy666CK1t7erqqpqr9cdcebNngIs2ZYvX65nn31WHR0duv7664d929dff70WLVqU+byjo0ONjY1auHDhPh+Im8ViMS1dulQLFixQMBiUJEViCX3lxb9Lkt5/ygJVlgRtue9fNL8g7dit+fOO1BmzJtpyH+g31F6jOLHX3sFeewv77R3stXew197CfufPf73xpFo6Ipp19PE67IBqW+7jqYf/JW1r1hEzD9aZ7z9wwNeKYa+taqPhGHHw5pprrtGFF1641+s0NTXp1ltv1bJlyxQOD2yUO3fuXH3sYx/TfffdN+j7wuHwoOtLUjAYLNjNyJb9OAKBgAI+Q/GkqUjS0DibHl9LZyrNrGFseVH8DAtFsTxnsW/stXew197CfnsHe+0d7LW3sN/2m1hVopaOiNq647b9rHtjqWybqrLwHu+jkPd6JOsecfCmpqZGNTU1+7zed7/7Xd16662Zz5ubm3XaaafpwQcf1Lx580Z6t0XHMAyVhwNq743ZNnHKNM3M6LY6GhYDAAAAAHIkdcZszyQM2IGGxf1s+wlMnjx5wOcVFRWSpGnTpmnSpEl23W1BqUgHb+yaOLW7J6ZoPBWpZFQ4AAAAACBXMuPC2+2bOGUlOlSE/bbdR6GwfVQ49qwiHT20K/OmpTP1IhpXHlI4wJMdAAAAAJAbE6vtHxfeH7wpzLKoXMpb7lFTU5NsGmxVsMrT0cPOPnuCN9vSEdDaSrJuAAAAAAC5Y50z7Sybss7K5WTekHnjpHKbM2+2p/vdWBFRAAAAAAByIZN5Y2fZVNTKvKHnDcEbB2XKpqI2lU2l09fqKgneAAAAAAByJ9PzptP+sikaFhO8cZT1BOyyKfNmmxW8oVkxAAAAACCHrCSB3T0x9cVyP4QnEk8olki1XiF4Q/DGUbY3LLbGhFM2BQAAAADIoarSgEqCqZCC1bIjl7qzpjKXh+h5Q/DGQVbTpW6bRoVTNgUAAAAAsINhGJnSqW02TJyykhxKgj4F/IQu+Ak4yO6yKSt4Q8NiAAAAAECuZfre2BC86YrQrDgbwRsH2Vk2FU8k1daVSl2rpecNAAAAACDH7Aze0Kx4III3DioP2Zd509YVVdKU/D5DNeUEbwAAAAAAuTUxnShgZ+aNdW72OoI3Diq3MfPGevHUVobl8xk5v30AAAAAgLf1Z97Y17CYsqkUgjcO6i+byn3DYqthVG0V/W4AAAAAALlXm4eGxdagH68jeOOgihL7yqa2W82K6XcDAAAAALDBxHTwZrudDYtLgjm/7UJE8MZBFekIoh3BGyvyWUfmDQAAAADABnXpZIFtHX0yTTOnt90/bYrMG4ngjaOye97k+olu1RwSvAEAAAAA2ME6b/bFkuroy21SQjcNiwcgeOMgK3gTT5qKxJM5ve0WMm8AAAAAADYqCfpVXZoqa8r1xKkuRoUPQPDGQdkRxFxPnNrabvW8IXgDAAAAALBHfXXqzGmdQXOlO1M2RfBGInjjKL/PUGkwVb+Xy4lTpmlq6+5eSVL9GII3AAAAAAB7TLSCN+kzaK50pc/IZN6kELxxmPVEzGXT4o6+uLqjqSd6Q3Vpzm4XAAAAAIBs9ekzZ7NNmTeMCk8heOMwq3N2dzR3wZut7amI55iyoEpDPNEBAAAAAPZosCnzxjojUzaVQvDGYXZk3mzdnYp41pN1AwAAAACwUf2Y1LlzGw2LbUXwxmHZ48JzxWoUZUVAAQAAAACwg3XubM515g0NiwcgeOOwCluCNzQrBgAAAADYz8q82dreJ9M0c3a73TQsHoDgjcP6y6ZyN22qmbIpAAAAAEAeWKPCe6IJdfTmJikhmTQzPW9oWJxC8MZhVuZNV1/uM28ayLwBAAAAANioJOjXuPKQJKm5PTelUz2xhKwknspwMCe3WegI3jjMnmlTZN4AAAAAAPLDyr7ZmqPgjdVWxGdIJUHCFhLBG8fletqUaZqZRlENBG8AAAAAADazEgesFh77K3vSlGEYObnNQkfwxmG5bli8qyemSDwpSaqrDufkNgEAAAAA2BO7Mm+YNNWP4I3Dcj0q3Mq6qakIKRygsRMAAAAAwF7WpOOtNmTeIIXgjcNyXTZFvxsAAAAAQD5ZLTty1bCYMeGDEbxxWKZhcY5GhVtpalbaGgAAAAAAdrLOn9vac5N50182RTWJheCNw8pDuS6bSr1YGsaQeQMAAAAAsJ91/tza3ifTmvG9HzJlUyEybywEbxyW+7IpMm8AAAAAAPlTV1Uiw5Ai8aR2dkf3+/ZoWDwYwRuH5XralNUgqp7MGwAAAABAHoQCPtVUpKYdb81B6VQ3DYsHIXjjsMy0qWhCyeT+p5dt7Uhl3jSQeQMAAAAAyBPrDGpNQN4fXTQsHoTgjcMqS/qfjD2x/WtanEyamQZRZN4AAAAAAPLFmnicy8yb7POy1xG8cVg44JPfZ0iSuvr2r3SqrTuiWMKUz5DqKsO5WB4AAAAAAPtUPyadeZODceH9DYuZNmUheOMwwzAyT8j9bVps9buprSxRwM/WAgAAAADyo8HKvNm9/5k3XfS8GYQTvgvkqmmxNWlqIv1uAAAAAAB5ZGXebM1B5g3TpgYjeOMC5TkK3jSnI5wNYwjeAAAAAADypz7TsJjMGzsQvHEB6wm532VT6Qin1SgKAAAAAIB8sM6hLR19+z1JuTtK8ObdCN64QKZsKrqfmTfWpCnKpgAAAAAAeVRbGZbPkOJJU21dkf26re70qHDKpvoRvHGB8rDVsHj/RoVv3Z3KvGlgTDgAAAAAII8Cfp/qqqyJU/tXOtVfNsW0KQvBGxfIVc+brWTeAAAAAAAcYp1FrcSC0YglkorGk5LIvMlG8MYFcjFtKp5IqqXDalhM5g0AAAAAIL/q02fR/cm8yT4X0/Omn63Bm6amJhmGMeDPl7/8ZTvvsiDlomHx9s6IkqYU8BmqqQjnamkAAAAAAAxLQw4yb6xzcSjgU9BPvonF9jDW1772NV1xxRWZzysqKuy+y4KTi8wba9JUXVWJ/D4jJ+sCAAAAAGC4rIlTW/cr84ZmxUOx/adRWVmpiRMn2n03Ba0/eDP6hsXWi6NhDP1uAAAAAAD5Z51Hm9v3P/OG4M1Atv80/vu//1tf//rX1djYqAsuuEBf+MIXFAqFhrxuJBJRJNI/Uqyjo0OSFIvFFIvF7F6qbay17+kxlKR3oaM3OurHuXlntySprjJc0D+rQrevvUbxYK+9g732FvbbO9hr72CvvYX9dtaE8qAkqXl376j3oL07lZhQFvLv9TaKYa9HsnbDNE3TroV8+9vf1lFHHaWxY8fqhRde0PXXX69zzjlHP/nJT4a8/s0336xbbrll0OX333+/ysrK7Fqm417dYehnq/2aWmnq2lmjy775/Xqfntzm0ykNSZ09JZnjFQIAAAAAsHcdUemrLwVkyNQ3j0nIP4qOHit2GLp3tV8HVpr63CjPx4Wip6dHF110kdrb21VVVbXX6444eLOnAEu25cuXa+7cuYMuf+ihh3T++eerra1N48ePH/T1oTJvGhsb1dbWts8H4maxWExLly7VggULFAwGB339mTU7dOl9L2lGXYUevea4Ud3H1b9eoSVvbNdXP3CIPn7M5P1dMkZpX3uN4sFeewd77S3st3ew197BXnsL++2sZNLUrK/9TbGEqaf+88TM6PCR+N3LW3T9wyv1/oNq9JOPH7XH6xXDXnd0dKimpmZYwZsRl01dc801uvDCC/d6naampiEvP+aYYyRJa9asGTJ4Ew6HFQ4PnpQUDAYLdjOy7elxVJenHnN3NDHqx9nSkQp6TRpXXhQ/q0JXLM9Z7Bt77R3stbew397BXnsHe+0t7Ldz6qpKtHlXr1q7Y5pcUzni7++Lp/JLKkqHt4eFvNcjWfeIgzc1NTWqqakZ6bdJkl555RVJUn19/ai+v1jlYtpUs9WwON3dGwAAAACAfGuoLtXmXb1q3t2nOVNG/v3WubgiRMPibLb9NJ577jktW7ZM8+fPV3V1tZYvX67rrrtOZ599tiZPpqwnW/l+TpuKxpNq60pl3tQzbQoAAAAA4BDrTLp1lBOnutLn4nKmTQ1g208jHA7rwQcf1C233KJIJKIpU6boiiuu0Be/+EW77rJgWRHFaCKpaDypUMA3ou9v6eiTaUqhgE/jy4ee5AUAAAAAgN3q09Ugzbv7RvX9mcybsD9nayoGtgVvjjrqKC1btsyumy8q5VlPyu5IXKHAyAIwzbtTEc366hIZxijaeQMAAAAAkAMN+5l5YwVvyLwZaGQpHrBFwO9TOJ1t0zWKvjdb0/1uRtPJGwAAAACAXLEyb6xz6kh1EbwZEsEbl8g0LY6OPHjTnI5o0qwYAAAAAOAkK6lg1GVTUatsiuBNNoI3LlG+HxOntqZfFDQrBgAAAAA4qWFMKqmgrSuiSHzkQ3loWDw0gjcuYUUVu0YxccqqJawn8wYAAAAA4KCxZcFMW5CW9siIv7+/YTHBm2wEb1wiE7zpG3nmzbq2bknSlPFlOV0TAAAAAAAjYRhG5my6rq1rxN9vnYkJ3gxE8MYlrIlTIy2bisaTemdHjyRpem1FztcFAAAAAMBIWGfTNdtHHrzpnzbFqPBsBG9cojxTNjWy4M3Gnd1KJE2Vh/yaWEXPGwAAAACAs6ZNSAVv1rZ2j+j7TNOkYfEeELxxCeuJ2TnCsikrkjmttkKGYeR8XQAAAAAAjISVebN2hJk3PdGEkmbqYxoWD0TwxiUmpsepbdndM6LvsyKZ0ydQMgUAAAAAcJ6VebOmdWTBm827UsN4KksCKgtRNpWN4I1LTK0plyRtaBtZ8CY78wYAAAAAAKcdOCF1vt3ZHdXO7uiwv299ehjP1JpyKkveheCNS1jBG2ty1HBlgjdk3gAAAAAAXKAsFNABY0olSWtHkH2THbzBQARvXKIp/eRs64qosy82rO8xTTPzQmDSFAAAAAD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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_agnesi_collocation(a=-4, b=4, n=16)\n",
    "graph_error_formula_polynomial(a=-4, b=4, n=16)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Two solutions: piecewise interpolation and least squares approximation\n",
    "\n",
    "The approach of least squares approximation is introduced in the next section {doc}`least-squares-fitting`;\n",
    "that can be appropriate when the original data is not exact (due to measurement error in an experiment, for example)\n",
    "so a good approximation at each node can be more appropriate than exact collocation at each but with implausable behavior between the nodes.\n",
    "\n",
    "When instead exact collocation is sought, piecewise interpolation is typically used.\n",
    "This involves collocation with multiple polynomials of a fixed degree, each on a part of the domain.\n",
    "Then for each such polynomial $M_{m+1}$ in the above error formula is independent of the number $N$ of nodes and with the nodes on interval $[a, b]$ at equal spacing $h = (b-a)/(N-1)$, one has the convergence result\n",
    "\n",
    "$$\n",
    "| E_m(x) \\leq \\frac{M_{m+1}}{m+1} h^{m+1} = O(h^{m+1}) = O \\left( \\frac{1}{N^{m+1}} \\right), \\to 0 \\text{ as } N \\to \\infty.\n",
    "$$\n",
    "\n",
    "This only requires that $f$ has a continuous derivatives up to order $m+1$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The simplest case of this — quite often used in computer graphics, including `matplotlib.pyplot.plot` —\n",
    "is to divide the domain into $N-1$ sub-intervals of equal width separated by nodes\n",
    "$x_i = a + i h$, $0 \\leq i \\leq N$, and then approximate $f(x)$ *linearly* on each sub-interval by using the two surrounding nodes $x_i$ and $x_{i+1}$ determined by having $x_i \\leq x \\leq x_{i+1}$:\n",
    "this is **piecewise linear interpolation.**\n",
    "\n",
    "This gives the approximating function $L_N(x)$,\n",
    "and the above error formula, now with $m=1$, says that the worst absolute error anywhere in the interval $[a, b]$ is\n",
    "\n",
    "$$\n",
    "|E_2(x)| = |f(x) - L_N(x)| \\leq \\frac{M_2}{2} h^2, \\quad M_2 = \\max\\limits_{x \\in [a,b]} | f''(x)|.\n",
    "$$\n",
    "\n",
    "Thus for any $f$ that is is twice continuously differentiable the error at each $x$-value converges to zero as $N \\to \\infty$.\n",
    "Further, it is *uniform convergence*: the maximum error over all points in the domain goes to zero."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Preview: definite integrals (en route to solving differential equations)\n",
    "\n",
    "Integrating this piecewise linear approximation over interval $[a, b]$ gives the Compound Trapezoid Rule approximation of $\\int_a^b f(x) dx$.\n",
    "As we will soon see, this also has error at worst $O(h^2), = O(1/N^2)$:\n",
    "each doubling of effort reduces errors by a factor of about four.\n",
    "\n",
    "Also, you might have heard of Simpson's Rule for approximating definite integrals (and anyway, you will soon!):\n",
    "that uses piecewise quadratic interpolation and we will see that this improves the errors to $O(h^4), = O(1/N^4)$:\n",
    "each doubling of effort reduces errors by a factor of about 16."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{prf:remark} Computer graphics and smoother approximating curves\n",
    ":label: collocation-error-formula-remark\n",
    "\n",
    "As mentioned, computer graphics often draws graphs from data points this way, most often with either piecewise linear or piecewise cubic ($m=3$) approximation.\n",
    "\n",
    "However, this can give sharp \"corners\" at the nodes, so many modes are needed to make this visually acceptable.\n",
    "That is unavoidable with piecewise linear curves, but for higher degrees there are modifications of this strategy that give smoother curves: piecewise cubics turn out to work very nicely for that, and these are introduced in the section {doc}`piecewise-polynomial-approximation-and-splines`.\n",
    "```"
   ]
  }
 ],
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