diff --git a/code/fit_quadratic.ipynb b/code/fit_quadratic.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..891e31c4d1a20854387f96b8a8157de1747c2bec
--- /dev/null
+++ b/code/fit_quadratic.ipynb
@@ -0,0 +1,531 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import scipy\n",
+    "from scipy.optimize import fmin\n",
+    "from scipy import optimize\n",
+    "import emcee, corner\n",
+    "import matplotlib.pyplot as plt\n",
+    "from matplotlib.ticker import MaxNLocator\n",
+    "import dynesty"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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6lU7X2GKdH5T0a7YvSfpfSXsr+HC+U9KHJP1bMe4qSb8r6UcW1Vl1f7ZSYx36cpOkMds9\navxieToiDjdtP49L+ivbp9XYfvbWsMbKt/Gl1Kwf31xbhb9UAABroO5DMQCAVSLYASAZgh0AkiHY\nASAZgh0AkiHYASAZgh0AkiHYASCZ/wc9vRzFrbqVuwAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x1118d14d0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Generate some data\n",
+    "N = 10\n",
+    "A_true = 0.9\n",
+    "B_true = -3\n",
+    "C_true = 3.9\n",
+    "err = np.random.randn(N)*3\n",
+    "x_data = np.random.uniform(0,5,10)\n",
+    "y_data = A_true*x_data**2+B_true*x_data+C_true+err\n",
+    "plt.clf()\n",
+    "plt.errorbar(x_data,y_data,err,ls='None')\n",
+    "plt.plot(x_data,y_data,'.')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 68,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "x =  [ 0.87326767  0.66854773  2.96595097  3.58581029  1.34754191  3.52208383\n",
+      "  4.1405378   3.0844206   2.61684632  0.46955892]\n",
+      "y =  [ 1.95467889  3.18545828  9.10622924 -0.35475021 -3.54264919  4.49822979\n",
+      "  9.91237454  1.20747267  1.97318027  2.18125278]\n",
+      "error_y =  [ -1.18548852e-02   8.88840999e-01   6.18690352e+00  -5.06955124e+00\n",
+      "  -5.03430574e+00  -8.57708443e-05   3.00433999e+00  -2.00155093e+00\n",
+      "  -2.39376955e-01  -5.08507487e-01]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print 'x = ',x_data\n",
+    "print 'y = ',y_data\n",
+    "print 'error_y = ',err"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def chi_square(theta):\n",
+    "    m,c = theta\n",
+    "    yi = y_data\n",
+    "    y_th = m*x_data+c\n",
+    "    return np.sum((yi-y_th)**2/err**2)\n",
+    "\n",
+    "def log_likelihood(theta):\n",
+    "    return -0.5*chi_square(theta)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Maximum likelihood result:\n",
+      "    m = 0.96037592979 (truth: 0.0)\n",
+      "    c = 1.11570507815 (truth: 0.0)\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "result = optimize.minimize(chi_square, [0, 0])\n",
+    "m_ml,c_ml = result['x']\n",
+    "print(\"\"\"Maximum likelihood result:\n",
+    "    m = {0} (truth: {1})\n",
+    "    c = {2} (truth: {3})\n",
+    "\"\"\".format(m_ml, 0., c_ml, 0.))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def log_prior(theta):\n",
+    "    m,c = theta\n",
+    "    if -10 < m < 10 and -10 < c < 10:\n",
+    "        return 0\n",
+    "    else:\n",
+    "        return -np.inf\n",
+    "    \n",
+    "def log_posterior(theta):\n",
+    "    return log_likelihood(theta) + log_prior(theta)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Running MCMC...\n",
+      "Done.\n"
+     ]
+    }
+   ],
+   "source": [
+    "ndim, nwalkers = 2, 1000\n",
+    "sampler = emcee.EnsembleSampler(nwalkers, ndim, log_posterior)\n",
+    "pos = [result['x']  + 1e-2*np.random.randn(ndim) for i in range(nwalkers)]\n",
+    "print(\"Running MCMC...\")\n",
+    "sampler.run_mcmc(pos,1000)\n",
+    "print(\"Done.\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x110664190>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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U3/qt36K7u5u2tjaSySSpVIrR0VGampqor6/nnXfeoaOjA5vNRkNDA59++ilP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\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x110664210>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.clf()\n",
+    "fig, axes = plt.subplots(2, 1, sharex=True, figsize=(8, 9))\n",
+    "axes[0].plot(sampler.chain[:, :, 0].T, color=\"k\", alpha=0.4)\n",
+    "axes[0].yaxis.set_major_locator(MaxNLocator(5))\n",
+    "axes[0].axhline(m_ml, color=\"#888888\", lw=2)\n",
+    "axes[0].set_ylabel(\"$m_{m0}$\")\n",
+    "\n",
+    "axes[1].plot(sampler.chain[:, :, 1].T, color=\"k\", alpha=0.4)\n",
+    "axes[1].yaxis.set_major_locator(MaxNLocator(5))\n",
+    "axes[1].axhline(c_ml, color=\"#888888\", lw=2)\n",
+    "axes[1].set_ylabel(\"$c$\")\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "burnin = 100\n",
+    "samples = sampler.chain[:, burnin:, :].reshape((-1, ndim))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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7oZJMli9fzvz581mwYAEbNmyIOhwRkRbUncxg7dq1vPnmm7z55pt89NFHjB49murq6qjD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\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10f45de50>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "corner.corner(samples, labels=[\"$m$\", \"$c$\"], quantiles=(0.05,0.5,0.95),levels=(0.6,0.9),show_titles=True)\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def chi_square1(theta):\n",
+    "    A,B,C = theta\n",
+    "    yi = y_data\n",
+    "    y_th = A*x_data**2+B*x_data+C\n",
+    "    return np.sum((yi-y_th)**2/(err**2))\n",
+    "\n",
+    "def log_likelihood1(theta):\n",
+    "    return -0.5*chi_square1(theta)\n",
+    "\n",
+    "def log_prior1(theta):\n",
+    "    A,B,C = theta\n",
+    "    if -10 <= A <= 10 and -10 <= B <= 10 and -10 <= C <= 10:\n",
+    "        return 0\n",
+    "    else:\n",
+    "        return -np.inf\n",
+    "    \n",
+    "def log_posterior1(theta):\n",
+    "    return log_likelihood1(theta) + log_prior1(theta)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Maximum likelihood result:\n",
+      "    A = 0.0259369691739 (truth: 0.0)\n",
+      "    B = 0.84579239426 (truth: 0.0)\n",
+      "    C = 1.19752790954 (truth: 0.0)\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "result1 = optimize.minimize(chi_square1, [0, 0, 0])\n",
+    "A_ml,B_ml,C_ml = result1['x']\n",
+    "print(\"\"\"Maximum likelihood result:\n",
+    "    A = {0} (truth: {1})\n",
+    "    B = {2} (truth: {3})\n",
+    "    C = {4} (truth: {5})\n",
+    "\"\"\".format(A_ml, 0., B_ml, 0., C_ml, 0.))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Running MCMC...\n",
+      "Done.\n"
+     ]
+    }
+   ],
+   "source": [
+    "ndim1, nwalkers1 = 3, 1000\n",
+    "sampler1 = emcee.EnsembleSampler(nwalkers1, ndim1, log_posterior1)\n",
+    "pos1 = [result1['x']  + 1e-4*np.random.randn(ndim1) for i in range(nwalkers1)]\n",
+    "print(\"Running MCMC...\")\n",
+    "sampler1.run_mcmc(pos1,1000)\n",
+    "print(\"Done.\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10f7ccfd0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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eZnh4mHg8jsViwWq1yuJFu92OpmmMj49TKBSIxWJcvnyZiYkJHA6H9MzFAF0s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\nu7spKSlhaGgIg8FAUVFRUsqWJEmS5haZrp8mS5cu5bvf/S7btm1L6m1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58+Zx+vRp7rnn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\nGlb/L2LT7AAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10f7cced0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.clf()\n",
+    "fig, axes = plt.subplots(3, 1, sharex=True, figsize=(8, 9))\n",
+    "axes[0].plot(sampler1.chain[:, :, 0].T, color=\"k\", alpha=0.4)\n",
+    "axes[0].yaxis.set_major_locator(MaxNLocator(5))\n",
+    "axes[0].axhline(A_ml, color=\"#888888\", lw=2)\n",
+    "axes[0].set_ylabel(\"$A_{m0}$\")\n",
+    "\n",
+    "axes[1].plot(sampler1.chain[:, :, 1].T, color=\"k\", alpha=0.4)\n",
+    "axes[1].yaxis.set_major_locator(MaxNLocator(5))\n",
+    "axes[1].axhline(B_ml, color=\"#888888\", lw=2)\n",
+    "axes[1].set_ylabel(\"$B$\")\n",
+    "\n",
+    "axes[2].plot(sampler1.chain[:, :, 2].T, color=\"k\", alpha=0.4)\n",
+    "axes[2].yaxis.set_major_locator(MaxNLocator(5))\n",
+    "axes[2].axhline(C_ml, color=\"#888888\", lw=2)\n",
+    "axes[2].set_ylabel(\"$C$\")\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 46,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "burnin = 200\n",
+    "samples1 = sampler1.chain[:, burnin:, :].reshape((-1, ndim1))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 64,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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/Pn360L9/Du5eelloEal/6UEXUFdmZl6LvXtrNu/iV1PfjUVJAWjGmHum8+9/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\nrVu3MnfuXObPn8/27dvZsWNHnYIB1O7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2sGbNGtq2bcvYsWNZu3YtrVu35sABa7Az565u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\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x1173a6190>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "corner.corner(samples1, labels=[\"$A$\", \"$B$\", \"$C$\"], quantiles=(0.05,0.5,0.95),bins=50,\n",
+    "              levels=(0.68,0.95),show_titles=True,truths=[A_true,B_true,C_true])\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def prior_transform(cube):\n",
+    "    return -10+cube*20"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "iter: 19166 | +1000 | bound: 21 | nc: 1 | ncall: 67242 | eff(%): 29.990 | loglstar:   -inf < -29.771 <    inf | logz: -48.690 +/-  0.189 | dlogz:  0.001 >  1.009                                     "
+     ]
+    }
+   ],
+   "source": [
+    "f2=dynesty.NestedSampler(log_likelihood, prior_transform, 2, nlive=1000)\n",
+    "f2.run_nested()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 35,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "iter: 22676 | +1000 | bound: 31 | nc: 1 | ncall: 82803 | eff(%): 28.593 | loglstar:   -inf < -3.626 <    inf | logz: -26.167 +/-  0.213 | dlogz:  0.001 >  1.009                                      "
+     ]
+    }
+   ],
+   "source": [
+    "f2=dynesty.NestedSampler(log_likelihood1, prior_transform, 3, nlive=1000)\n",
+    "f2.run_nested()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 63,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10a3e77d0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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0fjrvf7Fb7DDzP04unKgAKiIiInH9NohmXn0VGVdeQdeHS2h9/jnaX3kV7Ha8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\nAAAA0MZp1ycmJCSYv//++/bOzs5+IpEocMOGDVJ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+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10a3e7790>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "A_mean,B_mean,C_mean = np.mean(samples1[:,0]),np.mean(samples1[:,1]),np.mean(samples1[:,2])\n",
+    "m_mean,c_mean = np.mean(samples[:,0]),np.mean(samples[:,1])\n",
+    "xx = np.linspace(0,5,100)\n",
+    "plt.clf()\n",
+    "plt.figure(figsize=(10,5))\n",
+    "plt.errorbar(x_data,y_data,err,ls='None')\n",
+    "plt.plot(x_data,y_data,'.')\n",
+    "plt.plot(xx,A_true*xx**2+B_true*xx+C_true,label='\"True curve\"')\n",
+    "plt.plot(xx,A_mean*xx**2+B_mean*xx+C_mean,'--',label='recovered by quadratic model')\n",
+    "plt.plot(xx,m_mean*xx+c_mean,'--',label='recovered by linear model')\n",
+    "plt.legend(loc=9, bbox_to_anchor=(1.3,0.5),fontsize=18)\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 66,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "\u001b[0;31mDocstring:\u001b[0m\n",
+       "seed(seed=None)\n",
+       "\n",
+       "Seed the generator.\n",
+       "\n",
+       "This method is called when `RandomState` is initialized. It can be\n",
+       "called again to re-seed the generator. For details, see `RandomState`.\n",
+       "\n",
+       "Parameters\n",
+       "----------\n",
+       "seed : int or array_like, optional\n",
+       "    Seed for `RandomState`.\n",
+       "    Must be convertible to 32 bit unsigned integers.\n",
+       "\n",
+       "See Also\n",
+       "--------\n",
+       "RandomState\n",
+       "\u001b[0;31mType:\u001b[0m      builtin_function_or_method\n"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "np.random.seed?"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 2",
+   "language": "python",
+   "name": "python2"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 2
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython2",
+   "version": "2.7.13"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}