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       "               _                           \n",
       "platform       x86_64-pc-linux-gnu         \n",
       "arch           x86_64                      \n",
       "os             linux-gnu                   \n",
       "system         x86_64, linux-gnu           \n",
       "status                                     \n",
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       "minor          3.1                         \n",
       "year           2016                        \n",
       "month          06                          \n",
       "day            21                          \n",
       "svn rev        70800                       \n",
       "language       R                           \n",
       "version.string R version 3.3.1 (2016-06-21)\n",
       "nickname       Bug in Your Hair            "
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   "source": [
    "## How do to math on the web\n",
    "\n",
    "$$\\sum_{n=1}^\\infty \\frac{1}{n^2} = \\frac{\\pi^2}{6}$$"
   ]
  },
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    {
     "ename": "ERROR",
     "evalue": "Error in parse(text = x, srcfile = src): <text>:1:1: unexpected SPECIAL\n1: %%\n    ^\n",
     "output_type": "error",
     "traceback": [
      "Error in parse(text = x, srcfile = src): <text>:1:1: unexpected SPECIAL\n1: %%\n    ^\nTraceback:\n"
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    "%%latex\n",
    "\n",
    "\\[ y_{it} = \\alpha + \\beta d_{it} + f(x_{it} - 0.05) + d_{it} g(x_{it} - 0.05) + \\varepsilon_{it}  \\]\n",
    "\n",
    "%\\[ y_{it} = \\alpha + \\beta d_{it} + \\sum_{k=1}^3 \\gamma_k^b(x_{it} - 0.05)^k + \\sum_{k=1}^3 \\gamma_k^a d_{it} (x_{it} - 0.05)^k + \\varepsilon_{it}  \\]\n",
    "\n",
    "I will likely have multiple experiments from the same client, so it may make sense to add client-level fixed effects (and to cluster the errors at the client level):\n",
    "\n",
    "\\[ y_{ijt} = \\alpha_{j} + \\beta d_{ijt} + f(x_{ijt} - 0.05) + d_{ijt} g(x_{ijt} - 0.05) + \\varepsilon_{ijt}  \\]"
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