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Last active December 30, 2015 04:49
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math 491 big data
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{
"metadata": {
"name": "hw5"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": "Pat Kujawa\n\n# Real-time processing\nHere is an application (homework 5 for Math 491, Big Data) looking at ways to get a \"good\" estimate of the input ($x$) to a machine when we only have access to the observations (outputs, $y$), the multiplicative noise of the machine ($a$), the covariance function ($s$) of the additive noise of the measurements, and some *a priori* information about $x$ - its covariance function, $f$.\n\nThe input is coming in one data point at a time, and we can adjust our field of view (FOV), $\\Delta$, to get an estimate that is good but not too computationally or time limiting. If we are patient, we can even have a FOV that relies on \"future\" measurements by delaying the output of our estimate.\n\nStreaming is hard, though, so we'll simulate it with a finite number of values. In order to know $f$, we are going to generate $x$ ourselves. We'll do that by generating random values ($\\mu$) with a variance of one and mean/expectation of zero - we denote these stochastic properties with the shorthand $\\mu $~$ (0,1)$. We then create a function $b$ and $x = b \\ast \\mu$, which conveniently gives us $f = b \\ast b^*$, where $b^*$ is the function $b$ mirrored about $t=0$. (Those $\\ast$'s mean [convolution](http://en.wikipedia.org/wiki/Convolution).)"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## 1D discrete field of view (FOV)\nWe'll start simple, with a one-dimensional problem. We assume that we are given:\n\n* $\\sigma^2$, such that $s = \\sigma^2 \\delta$, $s$ as above\n\nLet $y = a \\ast x + \\nu$, x is a function mapping Z to R \n\nConsider a measurement on Z (simulate it): \nGenerate $\\mu: \\mu_i$ ~ $(0,1)$, a noisy signal on which to base x \nGenerate $x = b \\ast \\mu$ \n> b is an arbitrary vector close to an impulse function, e.g. [1 2 2 2 1] or [1 2 3 2 1] \n> it is also used to generate $f = b \\ast b^*$, where $b^*$ is equivalent to b reversed (which is typically the same as b anyway) \n\nSimulate measurement $y = a \\ast x + \\nu$ \n> a is an arbitrary function describing the multiplicative noise inherent in our system. It is represented by a vector of about twice the length of b (for reasons not obvious) \n> a for a thermometer might look like an asymmetric function which captures the present value as well as the past 2 (say) values. So it is a vector, but it is located at a specific index (it is \"centered\" somewhere in space). \n> $\\nu$ is additive noise inherent in the system. Its variance, $\\sigma^2$, is a parameter. \n\nEstimate $\\hat{x} = r \\ast y$ \n> $r = P^{-1}q_\\Delta$ where $P$ is the matrix made up of the function $p$ and $q_\\Delta$ (a column vector here) is the part of the function $q$ within the range $\\Delta$ \n> $p = a \\ast f \\ast a^* + s$, but $q = f \\ast a^*$ so $p = a \\ast q + s$. Also, that $s$ is really tricky because it is a scalar, and we aren't doing broadcasted/vectorized addition, but just adding to the zeroth element of $p$/$P$ \n> $s$ is approximately equal to $\\sigma^2$, the variance of $\\nu$\n> $r$ is essentially the inverse of $a$, so $r \\ast a$ should be close to the impulse function ($\\delta$)\n\nCompare $\\hat{x}$ to x. How good is the recontruction? Show x, y, $\\hat{x}$ on same graph. "
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Questions\n\n* What is f and what would it look like if we didn't generate it?\n * f is the covariance of the input, x, and I don't know if it's the same as np.cov(x) or not.\n* Does b\\* really mean reverse b?\n * b\\*, when talking about functions (here, viewed as vectors), means mirrored about t=0. So if the function has support only at t >= 0, then yes it is just the reverse of the vector representing that function.\n* What is s, really?\n * s is the covariance of the additive measurement ($y$) noise ($\\nu$). Typically, $s = \\sigma^2 \\delta_{Dirac}$, the [impulse function](http://en.wikipedia.org/wiki/Impulse_function). So it can be a 1-element vector at t=0, so long as care is taken not to vectorize/broadcast it when calculating $p = a \\ast q + s$."
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Parameters\n\n* a is a symmetric or asymmetric square, triangle, or Gaussian\n* f or b such that $f = b \\ast b^*$ is the covariance function of x\n* $\\sigma^2$ is the variance of $\\nu$\n\n> b is needed for two purposes: (a) to generate a random function x which has correlated components and (b) produce the corresponding covariance function f (not any symmetric shape of f can be a covariance function). I would take a wider b to make x more smooth, e.g. [1 2 3 2 1] or [1 2 2 2 1] or wider. I would experiment a bit and choose what I like.\n\nContruct optimal r:\n\n* symmetric: $\\Delta = [-d, d]$ where larger d (bigger window) gives a better estimate\n* asymmetric: $\\Delta = [-\\tau, T]$ (or \\tau and total window width). $H_{\\tau,T}$ will be a surface plot\n\nAlgorithm:\n\n* For given $\\Delta$, compute $r$ and $H(\\Delta)$\n* Plot $H(\\Delta)$ (either $H(d)$ for symm or $H(\\tau, T)$ for asymm)\n* Choose $d$ (or $\\tau, T$) from plot to get a \"nice\" $r$\n* Plot a, f, r, $a \\ast r$\n* Simulate measurement and processing\n * Random noise $\\mu: \\mu_i$ ~ (0, 1)\n * $x = b \\ast \\mu$\n * $y = a \\ast x + \\nu$, $\\nu: \\nu_i$ ~ $(0, \\sigma^2)$\n * $\\hat{x} = r \\ast y$\n * Plot the above three vectors"
},
{
"cell_type": "code",
"collapsed": false,
"input": "%pylab inline\nfigsize(18, 4)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Populating the interactive namespace from numpy and matplotlib\n"
},
{
"output_type": "stream",
"stream": "stderr",
"text": "WARNING: pylab import has clobbered these variables: ['f', 'inv', 'svd']\n`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
}
],
"prompt_number": 53
},
{
"cell_type": "code",
"collapsed": false,
"input": "from __future__ import (division)\nimport numpy as np\nimport scipy\nimport scipy.linalg\nfrom scipy.linalg import (toeplitz, svd, inv)\nfrom pprint import (pprint, pformat)\nfrom numpy import convolve as conv\n\n\ndef printVar(name, arr):\n try: \n print name, 'len =', len(arr),\n print 'shape = ', arr.shape,\n except: pass\n print 'values = ', pformat(arr)\n\n \ndef plotNicely(title, yLabelsMappedToValues):\n fig, ax = plt.subplots(1)\n for label,y in yLabelsMappedToValues.iteritems():\n # Prefer line with small data point (.) marker style\n ax.plot(y, '.-', label=label)\n\n leg = ax.legend(loc='best', fancybox=True)\n leg.get_frame().set_alpha(0.5)\n ax.set_title(title)\n return fig, ax # so user can further customize\n\n\ndef star(func, leftIndex=0):\n \"\"\" b* is b mirrored about t = 0.\n :param leftIndex: value on the number line (t) at which func[0] falls\n \"\"\"\n if leftIndex != 0: raise ValueError(\"Haven't implemented yet.\")\n return list(reversed(func))\n\n\ndef makeSignals(b, a, s):\n \"\"\" Return x and y\n \"\"\"\n # Make x\n mu = np.random.randn(lenMu)\n x = np.convolve(mu, b, mode='valid') # make x smaller than mu\n b_star = star(b)\n f = np.convolve(b, b_star, mode='full') # f bigger than b\n # f is cov(x) function\n \n # Make y\n # http://www.mathworks.com/help/matlab/math/numbers-from-normal-distribution-with-specific-mean-and-variance.html\n # change variance from normal to what was specified\n ax = np.convolve(a, x, mode='full') # y bigger than x - good idea?\n nu = np.random.randn(len(ax)) * np.sqrt(s)\n y = ax + nu\n \n globals().update(locals())\n return x, y\n\n\ndef estimate(f, a, s, lenSymmetricWindowDelta=3, verbose=False):\n \"\"\" R, r, var(xhat)=P_{i,i}?\n \"\"\"\n a_star = star(a)\n # what mode to use in these convolutions? does it matter?\n q = np.convolve(f, a_star, mode='same')\n if verbose: printVar('q', q)\n \n def delta(func, lenSymmetricWindowDelta):\n \"\"\" Return a list copy of the function with support on delta.\n Assume t = 0 is at center of function.\n \"\"\"\n assert lenSymmetricWindowDelta > 0, \"A window of zero, really?\"\n if lenSymmetricWindowDelta % 2 == 0:\n raise ValueError(\"I need an odd-length window\")\n padLen = lenSymmetricWindowDelta - len(func)\n if padLen <= 0:\n midpt = len(func) // 2 # floor\n left = midpt - lenSymmetricWindowDelta // 2\n right = midpt + lenSymmetricWindowDelta // 2\n return func.tolist()[left : right + 1]\n else:\n padding = [0]*(padLen//2)\n return padding + func.tolist() + padding\n \n q_delta = delta(q, lenSymmetricWindowDelta)\n if verbose: printVar('q delta', q_delta)\n \n af = np.convolve(a, f, mode='same')\n p = np.convolve(af , a_star, mode='same')\n centerIx = len(p) // 2 + 1\n p[centerIx] += s # s only adds to the t=0 element\n if verbose: printVar('p', p)\n \n # make p only be on Delta\n p = delta(p, lenSymmetricWindowDelta)\n if verbose: printVar('p_delta', p)\n \n # P should probably be centered, but then so should b, right?\n P = (toeplitz(p)) # size?\n if verbose: printVar('P', P)\n assert P.shape[0] == P.shape[1] == lenSymmetricWindowDelta\n \n P_inv = np.linalg.inv(P)\n if verbose: printVar('P inv', P_inv)\n \n #lenFill = len(P_inv) - len(q_delta) # maybe\n #Q_delta = np.matrix(toeplitz(q_delta.tolist() + [0]*(lenFill)))\n r = np.array(P_inv).dot(q_delta) # correct multiplication?\n r = np.squeeze(r) # can't sqeeze a matrix :(\n if verbose: printVar('r', r)\n Q_deltaR = np.inner(q_delta, r)\n \n f0 = f[ len(f) // 2 + 1 if len(f) > 1 else 0 ] # f at t=0\n H_r = f0 - Q_deltaR #???\n \n globals().update(locals())\n assert np.ndim(r) == 1, pformat(r)\n assert np.ndim(H_r) == 0, 'should be scalar' + pformat(H_r)\n \n ",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 54
},
{
"cell_type": "code",
"collapsed": false,
"input": "s = 0.1 # \\sigma^2; arbitrary\n#b = [1, 2, 3, 2, 1] # used to make f; also x\nb = [1]*7\nb = (np.array(b) / len(b)).tolist()\n\n# a should be about twice as big as b\n#a = range(7, 0, -1) # asymm triangle\na = [1]*21 # asymm square\na = (np.array(a) / len(a)).tolist()\n\nlenMu = 250 # num samples in \"starting\" signal\n\nx, y = makeSignals(b, a, s)\n#printVar('a', a)\n#printVar('b', b)\n#printVar('x', x.ravel())\n#printVar('y', y.ravel())",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 55
},
{
"cell_type": "code",
"collapsed": false,
"input": "plotNicely('funcs', {'a': a, 'b': b});\nplotNicely('signals', {'ax': ax, 'x': x, 'y': y});",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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mzJmT//3f/83o0aNzxRVX5Itf/GK3P9t77bYP1157bZqbm7N8+fIsXLgwW7du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\nAEAh/h/GnEIcqdP4JwAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x70dbef0>"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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dV/FgqdWCMbHQyLFjjn9s4hwqjQZZ/fsbVtLIHel3UUUFMGAA4OHhqlUtxH+l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AhzZKuohba/v1x/tQWvw/2ELaAohOCJ17NoKC+3AW7sKdg6gy+AX3ac5q8BeDCb0xgVtJ58AmzW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\naXB5f6EAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x763ff70>"
}
],
"prompt_number": 56
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Larger window (Delta) should give better estimate (smaller H_r)\nwidths = range(3, len(y) // 4, 2) # should be able to go > |a|\nHrs = []\nfor i in widths:\n estimate(f, a, s, i)\n Hrs.append(H_r)\n \n#pprint(zip(widths, Hrs))\nplot(widths, Hrs, '.-', label=r'H')\ntitle(r'$H_\\Delta$ vs $\\Delta$ with $|a|=%i$' % len(a));",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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WQO3YudPosVCbAYRkBA9RUcYM3v/7v8ZM4F27SosWSXl5tXstoK5lZFjUs2es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\nUaOcXU15DMUAAAAAUNeSk5O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"text": "<matplotlib.figure.Figure at 0x70db9f0>"
}
],
"prompt_number": 62
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Well the above graph certainly isn't right. We expect it to decrease monotonically as d/delta increases."
},
{
"cell_type": "code",
"collapsed": false,
"input": "xhat = np.convolve(r, y, mode='valid') #mode?\nplotNicely('Estimate', {r'$\\hat{x}$': xhat, 'y': y, 'x': x})\nplotNicely('funcs', {'a': a, 'b': b,'r': r});",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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cyEjvrbkVFf4vgBdEh4JOrUb2kSMhkRNtISi0aSPqKSjsOmsegEXs2YNHzV/b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rhQ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\npk3DtGnTvBs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"text": "<matplotlib.figure.Figure at 0x7624850>"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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4h9M1OKOsR88OAAAK7XKtExI7TwAAUNz4+/tr+pIllpzDZrNp5MiRGj9+vOx2uyZMmKAh\nQ4a4VMvVEDQAAOClCBoAAICrDh06JEkaOXJkkY3pUuvE0aNH1bVrVzVr1kxRUVFatGjRZe83adIk\nNWjQQK1bt9bevXtdGRIAgFIhLTNNuSZXlctXvuS2IN8g2dNZowEAAHgnl4KGcuXKaebMmdq1a5c+\n/vhjPf7440pJScl3n02bNumHH37Q5s2bNWHCBE2YMMGlggEAKA3s6XYF+QbJZrNdchszGgAAgDdz\nKWioWbNm3jYZ1atXV7NmzbR58+Z899m4caN69+6twMBA9e/fX3v27HFlSAAASoUrtU1IBA0AAHgj\nm82mnJwcq8sotJycnMv+gaMw3LbrxIEDB7Rr1y5FRkbm+/ymTZvUtGnTvI+DgoJ08OBBdw0LAECJ\nZE+7/NaW0u/bW9I6AQCAV6lVq5bWr19fLMOGnJwcrV+/XrVq1XLL+dyyGGRKSoruuusuzZw5U35+\nfvluM8bIGJPvc1dKSSZPnpz3flRUlKKiotxRHgAAxU5CWoKC/C7d2lKSgvzY3hIAAG/Tr18/LV68\nWKtWrbrkNbC3s9lsqlWrlvr16ydJiomJUUxMTOHPZ1z8DmRlZalXr1669dZbNW7cuEtuf/XVV5Wd\nna2HHnpIktSwYcPLzmiw2WzF7ocBAICnvLDuBSWeS9S07tMuue1sxlnVnlFbKZNSLnMkAACAezn7\net2l1gljjIYNG6bmzZtfNmSQpLZt2+qTTz5RUlKSFi1apCZNmrgyJAAApUJCeoKCfS/fOlGlfBVl\n5WTpXNa5Iq4KAADg6lxqnfjxxx+1YMEChYaGKjw8XJL03HPP6ciRI5KkESNGKDIyUp06dVKbNm0U\nGBioBQsWuF41AAAlnD3NrtDg0MveZrPZFOR3YYvLulXrFnFlAAAAf82loKFTp07Kzc296v2mTp2q\nqVOnujIUAAClyl+t0SD9b+cJggYAAOBt3LbrBAAAcJ+/2t5SYotLAADgvQgaAADwQvb0K29vKUlB\nvkGyp7HFJQAA8D4EDQAAeBljzIXWCd+rt04AAAB4G4IGAAC8zNmMsyrvU16VylW64n2C/YKVkE7Q\nAAAAvA9BAwAAXuZqbRPShaCB1gkAAOCNCBoAAPAyV1sIUrqwRgOtEwAAwBsRNAAA4GWutj6DxBoN\nAADAexE0AADgZQoyo4GgAQAAeCuCBgAAvIw97eprNAT5BcmebpcxpoiqAgAAKBiCBgAAvExC+tVb\nJ3zL+crH5qPUzNQiqgoAAKBgCBoAAPAyBWmdkGifAAAA3omgAQAAL1OQ1gnp9y0u09niEgAAeBeC\nBgAAvExBZzQE+bHFJQAA8D4EDQAAeJmEtAQF+f31Gg0SrRMAAMA7ETQAAOBFck2uks4lqbpv9ave\nl6ABAAB4I4IGAAC8SPK5ZFUpX0Xlfcpf9b5BvkGs0QAAALwOQQMAAF6koG0TEjMaAACAdyJoAADA\nixR0IUiJoAEAAHgnggYAALyIPb1gW1tKv7dOpNE6AQAAvAtBAwAAXoQZDQAAoLgjaAAAwIskpCUo\nyLdgazQE+V1YDDLX5Hq4KgAAgIIjaAAAwIs4M6OhvE95VS5fWY7zDg9XBQAAUHAEDQAAeBFn1miQ\nWKcBAAB4H5eChnvvvVc1atRQixYtLnt7TEyMqlatqvDwcIWHh+vZZ591ZTgAAEo8Z1onJNZpAAAA\n3qesKwcPHTpUo0eP1j333HPF+3Tp0kXLly93ZRgAAEoNZ1onJIIGAADgfVya0dC5c2cFBAT85X2M\nMa4MAQBAqWJPc7J14vcFIQEAALyFR9dosNlsWr9+vcLCwjR+/HgdPHjQk8MBAFCsZedm60zGGQVW\nCizwMcxoAAAA3sal1omradWqlY4ePapy5cpp/vz5Gjt2rFauXHnF+0+ePDnv/aioKEVFRXmyPAAA\nvEpieqICKgbIp4xPgY8J9g3Wr0m/erAqAABQ2sTExCgmJqbQx9uMi70NcXFx+r//+z/t2LHjL+9n\njFHNmjV15MgRVahQ4dJCbDbaLAAApdr2U9s14JMB2vngzgIf89HOj/TJnk+0pM8SD1YGAABKM2df\nr3u0deLUqVN5xaxYsUKhoaGXDRkAAIDz6zNIrNEAAAC8j0utE/3799eaNWuUmJio6667Tk8//bSy\nsrIkSSNGjNDHH3+sN998U2XLllVoaKimT5/ulqIBACiJEtISFORX8K0tJdZoAAAA3sfl1gl3oXUC\nAFDazdowSweSD+jVv79a4GMS0hLU7I1msk9kVgMAAPAMr2qdAAAABWdPtyvY17nWiWqVqslx3qGc\n3BwPVQUAAOAcggYAALxEYVonfMr4yL+iv5LOJXmoKgAAAOcQNAAA4CUS0hKcXgxSYp0GAADgXQga\nAADwEvZ053edkKQg3yDZ01ijAQAAeAeCBgAAvAQzGgAAQElA0AAAgJdISEtQkK9zazRIBA0AAMC7\nEDQAAOAFMrIzdC7rnPwr+jt9bLBfsBLSCRoAAIB3IGgAAMAL2NPtCvILks1mc/pY1mgAAADehKAB\nAAAvUNi2CYnWCQAA4F0IGgAA8AKFXQhSImgAAADehaABAAAvYE8r3NaWkhTkFyR7Oq0TAADAOxA0\nAADgBZjRAAAASgqCBgAAvEBCeuHXaPCv6K/UzFRl5mS6uSoAAADnETQAAOAFXJnRUMZWhp0nAACA\n1yBoAADAC7iyRoPEOg0AAMB7EDQAAOAFEtISFORXuNYJiXUaAACA9yBoAADAC7jSOiERNAAAAO9B\n0AAAgBewp7vYOsEaDQAAwEsQNAAAYLG0zDQZY+RXzq/Q5wj2C1ZCOjMaAACA9QgaAACw2B/rM9hs\ntkKfg9YJAADgLQgaAACwmKvrM0gXWicIGgAAgDcgaAAAwGKurs8gXZjRwBoNAADAGxA0AABgsYS0\nBAX5Fn5rS4nWCQAA4D1cChruvfde1ahRQy1atLjifSZNmqQGDRqodevW2rt3ryvDAQBQIrmjdYKg\nAQAAeAuXgoahQ4fq66+/vuLtmzZt0g8//KDNmzdrwoQJmjBhgivDAQBQIrmjdaJy+crKzs1Wela6\nm6oCAAAoHJeChs6dOysgIOCKt2/cuFG9e/dWYGCg+vfvrz179rgyHAAAJZI7ZjTYbDbWaQAAAF7B\no2s0bNq0SU2bNs37OCgoSAcPHvTkkAAAFDvuWKNBon0CAAB4h7KePLkxRsaYfJ/7qz3CJ0+enPd+\nVFSUoqKiPFQZAADewx0zGiQpyI8tLgEAgOtiYmIUExNT6OM9GjS0bdtWu3fvVs+ePSVJdrtdDRo0\nuOL9Lw4aAAAoLexprq/RIP2+xWU6rRMAAMA1f/7D/9NPP+3U8R5tnWjbtq0++eQTJSUladGiRWrS\npIknhwMAoNgxxlxonfCjdQIAAJQMLs1o6N+/v9asWaPExERdd911evrpp5WVlSVJGjFihCIjI9Wp\nUye1adNGgYGBWrBggVuKBgCgpDiTcUYVy1ZUxbIVXT5XsG+wTqWdckNVAAAAhWczf15EwSI2m+2S\n9RwAACjp9ift198X/l0Hxhxw+Vzzts7T6rjVmn/7fDdUBgAAcIGzr9c92joBAAD+mrsWgpRonQAA\nAN6BoAEAAAu5a30GiaABAAB4B4IGAAAs5M4ZDUG+bG8JAACsR9AAAICF7Onu2dpSkoL8gmRPs7Pm\nEQAAsBRBAwAAFkpIS1CQr3taJ3zL+aqcTzmlZKa45XwAAACFQdAAAICF3Nk6IdE+AQAArEfQAACA\nhdzZOiFdWBDSnmZ32/kAAACcRdAAAICF3D2jgZ0nAACA1QgaAACwkDvXaJAIGgAAgPUIGgAAsEiu\nydXpc6dV3be6284Z5BckezqtEwAAwDoEDQAAWOT0udO6psI1KudTzm3nDPZlRgMAALAWQQMAABZx\nd9uEROsEAACwHkEDAAAWcfdCkNKF1gmCBgAAYCWCBgAALGJPc+/WltLv21uyRgMAALAQQQMAABbx\nxIwGWicAAIDVCBoAALBIQnqCgvzcu0ZDdd/qSkxPVK7Jdet5AQAACoqgAQAAi9jT7Ar2de+MhvI+\n5VW5fGU5zjvcel4AAICCImgAAMAinmidkGifAAAA1iJoAADAIglp7m+dkAgaAACAtQgaAACwiKdm\nNAT5ssUlAACwDkEDAAAWsae7f3tL6fctLtPY4hIAAFiDoAEAAAtk5WTpbMZZBVYKdPu5aZ0AAABW\nImgAAMACiemJCqwUqDI29z8VB/kGKSGdoAEAAFjD5aubtWvXqkmTJrr++uv16quvXnJ7TEyMqlat\nqvDwcIWHh+vZZ591dUgAAIo9T7VNSLROAAAAa5V19QRjx47V22+/rXr16qlnz57q37+/qlevnu8+\nXbp00fLly10dCgCAEsNTC0FKtE4AAABruTSj4cyZM5Kkm266SfXq1VOPHj20cePGS+5njHFlGAAA\nSpyEtAQF+bp/a0uJoAEAAFjLpaAhNjZWjRs3zvu4adOm2rBhQ7772Gw2rV+/XmFhYRo/frwOHjzo\nypAAAJQInpzREOTH9pYAAMA6LrdOXE2rVq109OhRlStXTvPnz9fYsWO1cuXKy9538uTJee9HRUUp\nKirK0+UBAGAJT67RUK1SNZ3JOKPs3GyVLePxp3oAAFDCxMTEKCYmptDH24wLfQ1nzpxRVFSUtmzZ\nIkkaPXq0brnlFvXq1euy9zfGqGbNmjpy5IgqVKiQvxCbjRYLAECpcf+K+9WmVhuNaDPCI+cPnhas\nHf/eoRqVa3jk/AAAoPRw9vW6S60TVatWlXRh54m4uDh9++23atu2bb77nDp1Kq+gFStWKDQ09JKQ\nAQCA0saTrRMS7RMAAMA6Ls+nfPnllzVixAhlZWVpzJgxql69ut5++21J0ogRI/Txxx/rzTffVNmy\nZRUaGqrp06e7XDQAAMWdPc1zrRPS71tcprPFJQAAKHoutU64E60TAIDSpNErjfTV3V/p+mrXe+T8\nd318l+5ofIf6Ne/nkfMDAIDSo0hbJwAAQOEkpCUoyM8z21tKUpAvrRMAAMAaBA0AABSx89nndT77\nvKpWqOqxMYL9ggkaAACAJQgaABRrDodDfe/vK4fDYXUpQIH9sT6DzWbz2Bis0YDiiMd0ACgZ2Fwb\ngFdwOBwaPnG4Zk+bLX9//7zPZ+ZkynHekfeWfC457/14e7zenva2TrY8qfX/Wq9xj41TneA6CqwU\nmO/tmgrXqIzt0lz1SmMCnubptgmJGQ2w1l89vp7PPq/kc8k6fe50vrfjCcf1xotvKD40Xj/+60eN\nfnS0agXVkn9FfwVUCpB/Rf+8tyrlq1wS1PGYDgDeg6ABgGVyTa72Je3Tqj2rNPnJybKH2fXVP75S\n7dtrK6VMihznHcrMycy7sAyomP9Cc+07a3Wy5UnJXzre4rjemvGWWg9pfcnFa1pmmvwr+ucLHyrn\nVta6eesUHxqvuCFxip4XzYUpioynt7aUWKMB1nE4HGo/oL323rhX3/3zOzXr30xnbWfzHpOzcrIu\nCYQDKwVq/Zz1ig+Nl/ylEy1OaM6sOWo/rP3/gubz/wuaz2WdU9WKVfOeDyrnVNaOxTuU3CpZ2/tv\nV/S8aNWtUdfqbwUAlFoEDQCKTPK5ZG06vkkbjm3QT8d+0sbjGxVQMUDZX2fLHmaX/KXUNqmqt62e\n5rw+RwEVA+RbzveK08sdnR3qMaSHYuvHKiIuQtELLh8WZOVkyXHekS98+O9j/827oI0NidXwicO1\n5J0lnv4WAJIke7pnt7aUfm+dSKN1AkVv+ITh2nvjXslfSm6VLJ+1Ppo/c35eoOBXzu+yj+uOqII9\npksXHtfPZJzJCx4efvhhJbdKlvylX2/8VQ3ubKAmA5uoXZ12al+nvdrVaafG1RtfdnYbAMD92N4S\ngFv9MXX1zRfe1PGs43mhwoZjG3Ts7DG1ubaN2tVpp3a126ldnXaqUbmGHI6LLi4PRTg1u6CwU2Ud\nDofC+4Yrrlmc02MCrnpp/UuKT43X9B7TPTZG8rlk1Z9VX45H6XVH0YrZE6Oe9/ZUZrvMIn1Mv/h5\n5Is5X+hIxpG8558NxzYoMT1RkbUjLzwH1WmntrXbqppvNVouAKAAnH29TtAAwC2MMfrh1x/Ub2Q/\nxYfGq8x//EZDAAAgAElEQVT6MmrwrwbqdGOnvFChWXAzlS1z+YlUVlzoHT11VA3+1UC7P9qt62tf\nXyRjApL0yLePKLBSoB7t9KjHxjDGqPyz5ZU6KVUVylbw2DjAn43+arQq51bWwWUHi/Qx/WrPI/Y0\nuzYe35gXPMSeiFVQmSA5vnQoKTxJrX5rpe/nf0/YAACXQdAAoEjtTdyrxTsXa/HOxTq69KjSW6VL\n/pKSpT5pfby+HeGez+5ReM1wPdT+IatLQSkyZNkQ3VTvJt0bfq9Hx7l2+rXadP8m1bmmjkfHAf6Q\nkZ2h2jNqa/PwzQrxD7G6nL+Uk5ujWwffqujq0XnPW3X21tGsmbP090Z/V6VylawuEQC8hrOv12lU\nA+C0w47DevHHFxX+dri6ze8mx3mH5t8+X8eWHVPEoQjJIUXERWj2tNlWl3pVQ8OG6r2t7xF0okgV\nxRoNEus0oOit2LdCLWu29PqQQZJ8yvjoo1c/ynveCj8UromTJur12Nd17YxrNXjZYH21/ytl5WRZ\nXSoAFDssBgmgQE6lntLS3Uv14c4P9Wvir7qzyZ2a0WOGbqp3k3zK+OTdL3pe9IWpq/OKR69rl5Au\nSslM0ZaTW9SqViury0EpkZCWoCBfz25vKbHFJYree1vf05CWQ6wuo8D8/f3/97w1/8Lz1hiNUXxK\nvJbsWqL/rv2v7ll2j3o37a1+zfqpc73OLCgJAAVA6wSAS/zR5/rif1/UqpOr9OHODxV7PFb/uOEf\n6t+8v7o37K7yPuWtLtNtJsdMVtK5JL3691etLgWlRL2X6ylmcIzqB9T36Dh3f3q3bml4iwa1HOTR\ncQBJOpFyQs3eaKZjDx2TX3k/q8txm0PJhy60CO5arKT0JN3V/C71b95fDSs11IhHRrCIJIBSgdaJ\nEsbhcKjv/X3lcLBqOIrG6eTTiuwXqaWVl6rh7Q316ZZPNbzVcJ14+IQW3LlAvW7oVaJCBkka3HKw\nPtzxoTKyM6wuBaWAMUb2tCJsnUindQJFY8H2BfpXk3+VqJBBkuoH1NekzpO07YFtih4ULd9yvurz\nfh/V6lVLSysvVdQ9UVynocjw2gDFBUFDESnIg0KuyVVKRopOpJzQr4m/avWe1Wo3oJ2WVl6qTgM7\n6cDxA8o1uUVYNUqTlIwUvbLxFdW7o572N9kv+Uu57XPl+5Ov+jTrI99yvlaX6DH1A+qrRY0WWrFv\nhdWloBRIy0qTzWYrkhdjwb60TqBoGGP03tb3NDRsqNWleFTToKZ6puszijgQoYy2GZK/tK3BNrXs\n31KbT2y2ujyUYOeyzmlr3Fa1H9BeSysvVfsB7fXjvh8V54hTUnqSMnMyr3oOQgoUJdZo8KCc3Bwd\nTD6ojQc26tH/PKoToSf0/W3fK3JQpM6XO6+UjBSlZKbk/Zuela5KZSupSoUqqlK+iuyf2eVo6ZD8\npV2Ndqlpv6ay9bSphl8N1apSS7Uq18r799oq1+b7ONgvWClnU9gXGlf1W/Jvem3Ta5q/bb5urn+z\nlr66VE8+8eSFvcjjIjR7nvcv6OgOQ8OGat7WeerdtLfVpaCEK6r1GSQpyC9I+0/vL5KxULptOr5J\nObk56nBdB6tLKRKzX5qtuCFxiq0fq/BD4bpj3B3qvaS36lxTR2PbjtUdTe644nbOgPS/NtXpz07X\nubLnFJ8Sr/jUeMWnxOtE6ol8H8enxutc1jn5fOuTt7vX3hv26tYRt8r/Nv+81xJlbGVUpXyVvNcS\nF/9bPqu8vn/3e51qeUo7BuzQ13O/Vr2a9az+NqAEY40GJ11uj2ZjjI6dPaadCTsvvNkv/Ls3ca9q\n+NXQ+S/PK75pfN7WSR3jO+q/U/97yQOAXzm/fIvqORwO9RjS48ILvkMRip4XrUqVK+lk6kmdSDmR\n78EnPjX+wud+/zjpdJLKrC6jrHZZqruzrj568yO1bdhWNpvNou8cvIkxRmsOr9GsjbP0w+EfNKzV\nMI2MGKm6VetKuvpe5CVRWmaa6syso90P7latKrWsLgcl2MZjGzX6q9HadP8mj4+1/NfleueXd7Si\nP7N14FkPrHxAdavW1X86/8fqUorMn58rs3Oz9fnez/Xyxpd15MwRjYwYqfta3afASoFWlwovcTbj\nrNYeXqsvd3yp+TPmKz0yXWXWl1HdO+qqTo06l/3jYa0qFz4XUDFAZ86cueS1wcWvRzJyMi75Q+Yf\n/057apo2X7c57/WIT6yPavWupebBzdUiuIWaBzdX8+DmalK9ySVbu5bG60JcytnX614VNCQnJzv1\ny+twOPTM8OF6YrZzv/SuHHfTgJuUfGCHdG0d/e2Bv2l/+n7tTNipSuUq5f0HbR504d+mQU1VpUIV\nORwOdbu7m+z7tyjo+nCtWriqwOMePnxY/bt20oer16levYKnjn3u66OPy3+sOmulY50l392+uuaf\n16hb/W7qFtJN3ep38/giZPA+57PP68MdH2rWxlnKyMnQ2LZjNSh0UInrpy2sYcuHqXG1xprYcaLV\npaAEW/HrCr3989taOWClx8facGyDxn49Vhvv2+jxsVB6ncs6pzoz62jbA9tU55o6VpfjFX4+8bNm\nbZylFftWqF/zfhoTOUZNgppYXRaK2Lmsc1p/dL1Wxa3SqkOrtDNhpyJrRyrh0wTtrL8z70V/n7Q+\nWvLOkgKds7Av+v/8B8yv3/taZ3RGOxN2akfCjrw/mO4/vV/XXXOdWtS4ED7Ur1Bf06dM187rd14S\nbqB0cXpigPESksyDEREmOTm5QPdPTk42D0ZEmEMePu50+mmzbM8yM+arMaZKpyomoobMIclEBMu0\n6NXCrD602iSkJlx1zBHh4eaQZEaEh3v8azTGmLi4OBPl72sOSSbK39fExcWZ307/Zt75+R3T/+P+\npsa0Gqb+y/XNsM+HmYXbF5r4lPh84/a5r49T48E7/fGz3Ht0r3ly9ZOmxrQa5pYFt5iv939tcnJz\nrC7P66yNW2uavNbE5ObmWl0KSrB3f37XDFk2pEjGOpB0wIS8HFIkY6H0WrR9kenxQQ+ry/BK8Snx\n+Z5/v9r/lcnJzeFaq4T4888xMzvTrD+y3jy75lnTdV5X4zfFz7R/t7157PvHzKrfVplzWefyjou4\nLcJonEzEbc5d47uz3svJzM40uxJ2mY92fmSeWPWEubbHtUbjZDRZRmNlwu4IM9tObuM6shRyNjrw\nqhkNv0l6TdL0Atz/YUmjJYVIOlQEx1kxpltr7dNH05f8Lyk1xmi3fbdWHVql7w99rzWH1+jaKteq\nY1BHrZ6zWgeaHCC1LOYcDoc63d1Ju27YJZ+ffDT4ocGaePNENa7e2OrSvJYxRte/er0W3rlQbeu0\ntboclFDP//C8HBkOvfC3Fzw+VkpGimpOr6m0/6R5fCyUXj0+6KF7w+9Vv+b9rC7Fa53PPq/FOxdr\n1sZZSjubpszoTB1ufphrrWLs4hkC1+28Tk36NtGGpA2q719fNze4Wd1Cuqlzvc66psI1Vzy+OLQj\nXPx1NtjdQJ2GdNL6xPVynHcoKiRKXUO6qmtIVzWu3pgW7RKuWLdOPBgRoSnRBXuwdTgceqxHD02M\njdU0J497tFs3Pbpli6aGh+vJb1Zq19ldWhW3SqsPrdbOhJ2KqB2hbiHd1LV+V0XWjszbyu/Px05d\nVbAWCFdqLcxxhTk2JzdHW05u0b0P3qsd9XfkTeXqkdRD33zwTYHGhPdYd2Sd+tzXRyebnSzUtLzS\n7Nm1z+p4ynG92etNq0tBCTX+m/GqXaW2Hu7wsMfHMsbI9zlfJU5MpEUKHnH0zFGFvR2mYw8du6Sv\nG5cyxqjb3d0UUyMm7/n59rO367O5n1ldGpyQnpWuLv275FvzoP2J9lo+b7mq+1a3ujy3u1wocvTM\nUa2OW63Vcau16tAqZeZk5oUOXet3VcOAhjpz5kyxCFNQMMU6aCiKNRpO2E+oy4AuOn/4gJID/WS6\nG4XXD1fX+l3VLaSb2tVp95dPlFasC1GY4wp77MWp5bXbr1VO1xzdWOdGPdjmQd3R5I680AXexxij\n7377TlN+mKKjZ49qdOhoLZi5QD83+Jm/mDjhyJkjCnsrTMfHH+eiGR4x8NOB6tmwpwa1HFQk49V7\nuZ7WDFmjEP+QIhkPpcuUtVN0LOUY4awTLr7WCvwlULpZGnXTKI2JHKNqvtWsLg9/YX/Sfr3181ua\nv3W+Wge0VtyncdrXeF+pv84yxuiQ45BWH1qdFz7ovJQRnaGk8CS1ONBCa95fo4CAAKtLhQuKddDg\niVJSM1P145EftfbIWq2JW6MNczYoJzInL3284+wd+nTup24ftzi7OLX0q+KnZXuX6fXY17UvaZ/u\nb32/hrcartrX1La6TPwu1+Rqxa8rNOWHKUrNTNV/Ov9H/Zr3U9kyZYvNtDxv0/2D7hoWPoxpwPCI\nHh/00Pj243VLo1uKZLw2s9vojV5vKLJ2ZJGMh9LDGKMbXrtBC+5YQLuZky5+fk7MTdQLP76gT/d8\nqnvD79XD7R9Wzco1rS4Rv8vJzdEX+7/QG7Fv6Jf4XzQ0fKgeaP2A6gfU5zrrCowxunXwrfq62td5\nr7kq/VJJd467U13qdVGXkC66PvB6Wi2KGWdfr5fxYC1OczgcTt+/b9+H8x135vwZfbHvCz3y7SNq\n+25b1Xyppqb8MEVlbGX0VJendPizwwo/EC45pPCD4Zo7Y67LY3rjca4eqzPXSZLK+ZRTn2Z9FDMk\nRt8O+laJ6Ylq8WYL9V7SW6sPrc73y2ZFrcXp++ru43Jyc/Thjg/V8q2W+u/a/+rRTo9q54M7NTB0\nYP69u3//WRZFra4c600/y6FhQ/Xe1vecPh9KD4fDob739y3U75093a5gv2APVHV5wX7BsqfZnT7O\nla8RpcOPR39UuTLlCLEKwd/fX0veWSJ/f381Cmykd/7vHW0dsVWZOZlq+npTjfxypA47DltdZqlm\nT7Nr6rqpavhKQ035YYoGtBigIw8d0Qt/eyFv57aLf474H5vNpg9f+VARhyIkhxQRF6G189aqS70u\nWntkrf72/t907YxrddfHd+mN2De0K2GXR/7gDIu5svLkmjVrTOPGjU2jRo3MK6+8ctn7PProo6Z+\n/fqmVatWZs+ePVc8lyQTEfGgUzsyhIcPMwrobur3vNn8e9m/Tau3W5nKz1U23eZ3M0/HPG1WH1pt\n0jPTL3/cNb1MePgwp1Z5TU5ONhERDxrpkNO1FuVxnh7zzPkz5vVNr5umrzc1TV5rYl7d+Ko5fPIw\n39ciOi4jO8O8+/O7ptErjUynuZ3MV/u/uuwuCaX1++OOWtMz003A1ABz9MzRAp8PpUdycrJp1quZ\n0TiZZr2amSMnjzh1/LXTry3S363Bnw02c3+ZW+D7Z+dkm+2Ht5vGf29sNE6m1T9bsTI+LmvY58PM\ni+tetLqMEudU6inz6HePmsAXAs2QZUPMr4m/Wl1SiffHbgynT582Px39yQz8dKCp+nxVM3TZUBN7\nPNbq8oqtK+1ykZuba347/Zt5b8t7ZsiyIab+y/VN9Rermzs/utPM2jDLbInfYpJOJ7Ezi5dxNjpw\nKWgICwsza9asMXFxcebGG280drs93+0bN240HTt2NElJSWbRokWmV69eVy5EMtJvRhpvJHOZt1yj\na44YXb/SqPMUo382NAqvcGG7lRaVjdq3NbpunZFPxhWO/+NtvJEO/f7+X43nzmOL+riiGjPXKGS1\nUZ8+RmPLGzUNvPDzuDbUSA96Wa3F6fv65+O2GV3Tx8hng1FkV6OHrjMa2MOo3hovq7V4/yz79Bmf\n7zFp+IrhZsraKa48RKKEycjOMB/u+NBUv7l6vq2+fDr4mOovVjeR70Sau5beZSZ9N8m88/M75ruD\n35nfTv9msnKy8s5x+vRpY2tvMyftJ4us7lGfjjItbmuR72LtdPpp8/OJn83SXUvNC+teMA+sfMD0\n+KCHuf6V602FZyqYip0r5vsab/jHDWZ/0v4iqxneLzUj1fhP9Tcnzp6wupQS63T6afN0zNMm6MUg\nc9fSu8y2k9vYFtMDkpOTTet/tjYaJ+PbwdfUe76eeenHl0xiWqLVpZUqRxxHzIJtC8z9y+83DV9o\naHza+hiNkwmOCjavrnnVxB6PveQPyChaRRY0OBwOExYWlvfx6NGjzcqVK/Pd55VXXjEzZ87M+7hB\ngwZXLkTK+0t4ema6iT0ea+b8MseM+WqM6fJeFxMwNcDUmFbD9Pigh5kYPdG0vqN1voug2++5vUB1\n89dazxzXc0DPfD+PHgMKvp8239cri4uLM743/P6ipnUZ0/3N7mbTsU1eWasVY3qy1p+O/mQavdLo\nsrNFULocPXPUPL7qcVPzpZqm2/xu5v0N75s2t7XJ2//89OnT5mTKSbP+yHqzYNsC88yaZ8zQZUNN\nl/e6mLoz65ryz5Q39V+ub2564yZTvUv1It03PTk52dS5uY7ROJmAzgEmdGao8Z/qb6o8V8W0fLOl\nuWPxHWb8N+PNaxtfM1/s+8Lsse8x57LO5dvjPfQfoWbMZ2NM0ItB5pYFt5gVv64w2TnZHq8d3m3+\n1vmm18Ir/wEJ7pOSkWKm/TjN1HimhqnauWqRPoaUdDm5OSayd2S+a9jew3pbXVap1+e+Pvl+JnVv\nqWtC3ww1FZ+taJq81sTctfQu89za58zKX1eao2eO5rtWI4zznCILGr799lvTr1+/vI/ffPNN8/jj\nj+e7z8CBA80333yT93Hbtm3NgQMHLl+ILlwE3fDiDabisxVN6JuhZtCng8y0H6eZ6APR5mRK/r/+\nJCcnm/B/hBuNkwn/R7jTLzD69BlfqF/Awh5b1McV9ZgX/zxqRNUw/pP9zaTvJpkz5894Xa2uHFeU\nYyamJZqm/2ya74G2z319vLJWK8f0VK25ubnmxldvNOsOr3P6vCj+cnNzzXcHvzN3fnSnCZgaYEZ9\nOcrsTtidd7szFzIZ2Rlmf9J+07lfZ5f+PxfGny/Wbr77ZpOYlligAO3PX+O5rHNm3pZ5JmJ2hAl5\nOcS8sO4FY0+zX+UsKKm6zutqlu5aanUZpcq/7v1Xvv/PXfp1IQx3wfe/fW/C3wo3rWe1zmsVI8Dx\nDheH3Rf/TDKyM8y2k9vM+1vfNw9/87Dp/n53Ezwt2AS+EGii5kWZB5Y+YEK6h/Cz9BBng4ZC7zrx\n3Xffac6cOfrwww8lSW+99ZaOHz+uZ555Ju8+AwcO1KBBg9SzZ09JUrt27bRo0SI1aNDgkvPZbDap\nrdTwXEP1v72/bu56s6Kiov6yBlZ69S4X/zxSy6TqidVP6Kv9X+nJLk/q/lb3q5xPOatLLBbiU+I1\nY8MMzd0yV72u66Wti7ZqR6MdpX7rJCu8sO4F7T+9X+/+812rS0EROXP+jN7f9r7e2PyGypYpq5ER\nIzUwdKAql6/s8rkv3tKuqP4/e2rM2OOxemPzG1q2d5n+eeM/NTJiJAsCliKHkg8p8t1IHXvomCqU\nrWB1OaXGxf+f6++qL5+/+ah6tep6rPNj6nV9L1bwL6Dd9t165NtHtNu+W1P/NlV9mvbRmTNneE3h\nZZx5nXcy9aS2n9quiRMmanvI9rydLvqk9dGSd5YUTcElUExMjGJiYvI+fvrpp+VUdFDYROPPrROj\nRo26bOvEjBkz8j6+WusEyVPJsyV+i/nb+38zN7x6g1m2ZxnJ+184lHzI/Hvlv03A1AAz5qsx5ojj\nwgJzTAGzzvGzx43/VH+TmpFqdSnwkD/+f637dZ0ZsWKE8Z/qb/ou7WvWxK3xyOOVFf+fPTlmYlqi\neXHdi6b+y/VNm9ltzNxf5pr0zHQet0q4yasnm1FfjrK6jFLp4v9b2TnZZsnOJablmy1N6JuhZvGO\nxbQ1/YWTKSfNiBUjTPUXq5vp66eb81nnrS4JbnalmRBwD2ejg0LPaJCk8PBwzZo1S3Xr1tUtt9yi\ndevWqXr16nm3b9q0SePHj9fnn3+ub775RosWLdLKlSsvey6bzabk5GRSxBLIGKNvDn6jCdETVM23\nml7q/pIiakdYXZbX2Ju4V8+ve14r963UiNYjNK7duCLd+g5/7daFt6p/8/4a1HKQ1aXAzexJdrUf\n0F4Hmx5UuQ3l9PDjD2vMTWNUq0otq0srdnJNrr4+8LVej31dGw5sUPmY8jrZ8iQzsUqgXJOrhq80\n1Cd9P1GrWq2sLge6cJ315f4vNeWHKUo6l6RHOz6qgaEDmUn6u/SsdM34aYZe3vCyBocN1mOdH1Ng\npUCry4KHMOPdc2w2m1MzGlwKGtasWaMHHnhAWVlZGjNmjMaMGaO3335bkjRixAhJ0qOPPqqPPvpI\ngYGBWrBggZo0aeKWwlH8ZOdma97WeXoq5ilFhURpSrcpCvEPsbosy2yJ36Ln1j2nNXFrNKbtGI2K\nHCX/ijwgepulu5bqrZ/f0vf3fG91KXCT+JR4zf55tqY+OVXnW59niqWb9bqnl76s9mXe97Xzqc6K\nWRSjMrYyVpcGN4iJi9HYr8dq64itTNX3MsYYrTm8RlN+mKJ9Sfs0scNEDQsfpkrlKlldmiVycnP0\nwfYP9Piqx9Wxbkc9f/PzahBwafs2gIIp0qDBnQgaSo/UzFRNXz9dr2x6Rfe1uk+TOk2SzqvEp49/\nJKz3jrlXr2x/RdtObdOE9hN0f+v73dL/Dc84n31edWbU0ebhm0t1MFbcGWP049Ef9dqm1xR9MFr9\nmvfToBsGaezEsUW6ZkJpcHEfeciuEFX5exWdK3tOD7Z5UEPDhxKoFnODlw1WWI0wPdT+IatLwV/Y\ndHyTpvwwRZuOb9JD7R5Sv0b9NOHxCSX6Okv637VW/wf7a/LGyapSvope6vGS2tVpZ3VpQLFH0IBi\nIz4lXk/GPKllW5fJd62vjjQ/UmIv9k8nn1a7Ae20v/F+ld9QXlOfm6oHOz/IIlrFxKgvRynIN0hP\nRT1ldSlwUnpWuhbtWKTXNr2mc9nnNDJipAa3HKyqFatKYoqlp1z8fa1atao2HNug12Jf05f7v1Tf\nZn01MmKkQmuEWl0mnJSSkaLrZl6nfaP30eJXTOw4tUNPf/O0Pn/jc2W3z1bYwTCtfn91iXy8czgc\n6jyws3Zev1MVNlbQOzPf0cDIgcy8AdyEoAHFTs9BPRVdPbpETl9OzUzV/K3z9egjjyo1PLVEfo2l\nweYTm9V3aV8dGHOA6d/FxMHTB/XG5jc0f+t8dazbUaMiRunmBjfz87PYydSTeufnd/T2z2+rYWBD\njYwYqTsa30EveTExd8tcLf91uZb1W2Z1KXBC3/v7amnlpXnXIPX21dOncz4tcWts3Hz3zVoVvIpr\nLcBDnH29zhUXLPfRqx+p9W+tJYdUfWt1vfXiW1aX5LI4R5wmRE9QyMshWhW3Sh+9+pEiDkVIDiki\nLkKzp822ukQ4oXWt1vIr76e1h9daXQouw+FwqO/9fXU6+bS+2v+Vei3qpfZz2qtcmXLaPHyzPu/3\nubo37E7I4AVqVq6pJ7o8oUNjD2l05Gi9EfuGQmaF6L9r/quTqSfzfpYOh8PqUnEZ7219T0PDhlpd\nBpw0e9rsvGuQ8EPhGjJ6iG5ffLtueu8mfbrnU+Xk5lhdost+if9F2xtv1/V7r+daC/ASzGiAV3A4\nHBo2fphOtD6h8JBwvX7r68VuqpsxRuuOrNPLG19WTFyMhoYN1ajIUXl9/UzRLt6mr5+uHQk7NO/2\neVaXgos4HA51u6ebtjTcogobKujGu27UQ1EP6a5md5XaBdCKmx2nduj12Ne1ePNi+az20elWp0ts\nG11xduD0AXWc21HHHjrGDJRi6M/XIFk5Wfps72eatXGWjp89rtGRozWs1bBiuYbKjlM71P2D7nrr\nH28pqmYU11qAh9A6gWLtbMZZdf+guzpc10EzeswoFmFDRnaGPtr1kV7e8LLSstI0JnKMBocNZoHH\nEuZU6ind+NqNOvrQUVWpUMXqckq9nNwcfffbd7pv1H061uTY/6bKpvbRkneZKlsc3XHvHVpWdVne\nz7JFXAtFL4hWzco1rS4Nkh5f9fiFbQJ7zrC6FLhZ7PFYzdo4S1/u/1IDWgzQmLZjdEO1G6wuq0D2\n2Pfo5vdv1syeM3VX87usLgco0WidQLF2TYVr9PXdX2tN3Br9Z9V/vDJ8+mNq775j+/R0zNMKmRWi\nhTsW6tluz2rPyD0aGTmSkKEEqlG5hm6qd5M+3v2x1aWUanGOOD0V85Tqz6qvx1Y9pnGPjFP4b+H/\nmyr7ElNli6v3ZryXN727yb4matm3pZq83kS3Lb5Nn+/9XFk5WVaXWGrl5Obo/W3va0jYEKtLgQdE\n1I7QgjsXaOeDOxVQKUCd5nZSr0W9FH0wWsYYr21p2p+0X90/6K4X/vYCIQPghZjRAK+UmJ6obvO7\nqXfT3nqyy5NWl5MnOTlZnQZ20u4bdsvnJx8NGjdIE2+eqKZBTa0uDUXgsz2faeaGmVo7lLUaitL5\n7PP6bM9nmrt1rrbEb9GAFgM0LHyYWtZsKYm2pJLkzz/L1MxULdm1RHO3zNXB5IO6p+U9ujfsXt1Y\n/UarSy1Vvj34rR79/lH9PPxnq0tBETiXdU4f7vxQL294WRmpGcqIztDh5oe9qqXpUPIhRc2P0hM3\nPaH7Wt1ndTlAqUDrBEqMU6mnFDU/SkNaDtH/6/T/LK3lt+TftHD7Qk17appSwlNY0biUyszJVJ0Z\ndbR+2Ho1CmxkdTkl3taTWzVnyxx9uONDhdcK17DwYbq98e2qWLai1aXBAnsT92rulrl6f9v7ur7a\n9RoWPkx9mvaRX3k/q0sr8QZ8MkAdruugUZGjrC4FRcgYo64DumpNzTV51z0dT3bUqoWrVN6nvGV1\nHT1zVF3mddHD7R/WyMiRltUBlDYEDShRTqScUJd5XTQyYqTGtRtXpGPb0+z6aNdHWrhjoQ6ePqi+\nzfrqn3X/qccff1yx9WO9KtlH0Rn39ThVqVBFz3R9xupSShyHw6Eh44eo490d9eGBD5WYnqih4UM1\nNJcwDvkAABDFSURBVGxo3qKqQFZOlr7Y/4XmbJmjdUfWqXfT3urboK/emfmOZr/ErBZ3c5x3KOTl\nEB0cc1DVfKtZXQ6KmMPhUI8hPRRbP1b1dtbTtbdfq31p+9S7aW/d3eJudazbsUh39IlPiVeXeV30\nQJsHNL79+CIbFwBBA0qgI2eOqMu8LnqkwyP6d8S/PTpWWmaalu1dpoU7Fmr90fXqdUMv3d3ibnVv\n0D1vlW2maZdu205uU6+5vdT+t/Z656V3+B1wg+RzyVry8xJNemySklslK+CXAL378ru6reVt8inj\nY3V58GInUk7orR/e0ovPvqiMthmqtb2WFr22SF0adykWiwkXBzNXz9SMF2Zox+IdPN6VUn++7jns\nOKxFOxZp4Y6FSs1MVf8W/XV3i7vVPLi5R+tISEtQ1LwoDQwdqP90/o9HxwJwKYIGlEi/Jf+mqHlR\nmhw1WfeG3+vy+S5+0vSr4qdvf/tWC3cs1Bf7vlCH6zro7hZ367bGt7GoIy7hcDhUu1dtpUemq9n+\nZlrz/hpVC+SvfM467Disz3/9XJ//+vn/b+/eg5o88z2Af1EohEIRqghUIiA24SKCEFFmqCWC4w0S\na7VS19MWdLwcZ21rZ2eO03M6u+fU1rZbqh1R2xXHrVbHOrsVSiuKiG5BuR0ulkbAFbmjgETDJXLL\n+YP1PaKISaAmwPczk0HCC3nifJ83z/N7n/d9kVeXB/tMe9T71vO0JDLY6g2r8Z3dd0J27IrsMEkx\nCQqJAgqJAgs8Fph0mfdo1dLRgvRf0/Hm79+ENlTLVXz0CJ1Oh5KbJTh65SiO/XIMTiInrJ21FrH+\nsXB3cB/RAzMtHS2IOBwBpVSJP0X8aYTeAREZgoUGGrPKW8oRcTgCn0R+grUBa43+O2q1GlFvRiHf\nMx/ORc7ok/fB280ba2etxWq/1XB+1nkEW01jzcOTGst8S0RsjECYexjC3MMQ+kIoHGwcTN1Ms6PT\n6VDUWCQUF2rv1mL5i8uhlCgRNSMKXe1dwvJcTmjIEA8u7ZZVypB2KA2NPY1C1q42X8US7yVQSBRY\nMnMJnrN+ztRNNjt9uj5cbb6K7JpsXKq9hOyabNTdrYMoQ4Rb/rdYAKQn6tP14WLVRRy9chR/U/0N\nPnY+qPu+Djf8bgx7n67WqhH510jIPeXYFbmLq5WITISFBhrTSm+VIvKbSOxZvAer/Fbp/Xs6nQ5X\nm68iozIDO/9z54Ajp0tvL0XqX1N/u0bTmPLwpOZY4jH8qvkV2bXZyK7JRkF9AbwcvYTCQ5h7GGY4\nzoCFhcW4Oe3m/vvc+/FelNwpESZ8VhOsoJAqoJQoEeYe9shpEePl/4dG3lDZadA0IKU8BafKTuEf\nVf/AfPf5UEqUiJHE4IXnXhgXuRvsbh65dbnIrunfb12uvQxHkWP/Pmta/37L39kfmrsaFgDJYPd6\n7kG+Vo5st2xhrCX5pwQJnycgfHq4QatFNfc0WHRkEWRuMuxevJtFBiITYqGBxrzixmIsOrIIX0d/\njRhJzGO3q1JXIaMyA+cqzyGjMgNWE62w0HMhQp8Pxb5P9qF4RjEHTmSUoSYmXb1dKG4s7h/A12Yj\nqzoLXb1dkDnJUHKsBLWzajHn+hycO3xuzOVOp9OhuKoYKzeuxHXf65h4aSICYgPw6pxXoZAo4DvF\nl4NEMinNPQ3S/pmGU2WnkFqeiuk209GU3IS6gLox2y9bW1ux4N8W4Ir3FTgXOcNF4YJrHdcQ6BIo\nFBbmu8+Hi53LoL8/HgoxNPIeLMpLy6RQ/rsSl5ouIb8+H4EugZB7yrHQcyHmTZsHa0vrQf9Ge1c7\nlhxdAp8pPti/bD8/P4hMjIUGGhfy6/Ox9OhSJC5MxIl9J/DVp1+hy6oL5yvPC4WFu/fuQu4pFz7M\nvBy9hA8pDpzoaaq5U4PVG1bj8guXhaM79sX2WLFtBUJcQxDiFoLZLrNha2Vr6qbqTafToepOFQrq\nC5DfkI+C+gIUNBSg44cOaIO1XGpNZq+7txtRv4sacOu+54qf6++XbiEIdg0etf0yvz4fBQ0FyK/P\nx4WvLqA7pFt4j/ImOVIPp/I2sfSbG2ys1dHdgazqLGGspmpWYf60+cJYbY7rHGjuahC/PR7NIc3w\ncvPCwZiDT/XOFkQ0OBYaaNw488sZLFu/DD3zeyDKFcEq0goLpAuEDys/Zz9+MJHZePDoTnBlMD7/\n+HOUtZchvyEf+fX5UDWpMPP5mQhxCxGKDwFTA4QjPU+7OPbg6zk4OKDmbo1QVMiv7y8sWE20GtDe\nYLdg2PTYcKk1jRoP98s/f/xnlLWXCZN0VZMK3k7eQuHhfr8UWYlMUrB+uF/WaeqQX58/4GE10Qoy\nN5nQXm9bb6zbuo59ksySWqvGhRsXhMJD7a1aWGRYQB2shtP/OqH87+W84DKRmWChgcaNhy/K92rb\nq/juL9+ZullEjzXUxETbo8WVm1f6Jwv/msxXtFTAZ4oP/O39cSHpAqr8qyAtk+LrL77G9KnT4Shy\nxLNWzw65nPRJkyGdTof27nbc7ryNlo4W3O68jeqb1fjjf/0RVf5VcChwgGWkJSxtLYViQohr/1c3\nezejXpPInAyV13s993Dl1pUBKwTKmsswQzQDjcmNaA5qhmepJ3bu3AnxVDGeFz0PJ5ETHEWOsJxg\nadRr3tfd2w21Vo1WbSvUWjVqbtbgD//xB1z3vQ6HAgc8E/UMYIP+Yt8Dj8H6JfskjRYxb8UgZVIK\nV8URmSEWGmjcePiifDxKQ2NNZ3cnim8WY8vvt6BweuGA5d320fZo1baiq7cLk2wmwdHGsf+ryFH4\nt6hXhJNfnkTtrFq4FLtAvl6O9gn/Kip09hcVbnfehuUESziJnIRJUvm35ajzrRNeb7l6OZIPJfP8\nWCL0FwWXv7kc56acE/qIy68u8HjNQyjWqbVq2D1j19+vbPv71f0+Zttri+O7j6NmVg2ci5yxcP1C\ntE9sR2tnq1BYaO1shbZHi0k2k4R+XX2iesAdIJaplyHlUAr7JY0pHNsRmS8WGmhc4VEaGg+GGnh1\n9Xb1T046W4Ujn/cnLIkfJuIXz1+EiUlIbQh2/PeORyY/D5+rzYEe0dCe1Ef6dH24o70zoKh3vwhx\nYOcBlHqVCv1SVivDjv/ZIRQMHUX9hUL7Z+wHFBHYL2m84NiOyDyx0EBENAYZM/AazsSEAz2ioRnb\nR9gviYhoNGKhgYiIBJyYEJkf9ksiIhptWGggIiIiIiIiohFj6Hyd9/4jIiIiIiIiohFjdKFBo9FA\noVBALBZDqVSira1t0O08PDwQEBCAoKAgzJ071+iGEj1OZmamqZtAoxjzQ8Zidmg4mB8yFrNDw8H8\n0NNidKFh3759EIvFqKiowLRp07B///5Bt7OwsEBmZiYKCwuRm5trdEOJHoc7TBoO5oeMxezQcDA/\nZCxmh4aD+aGnxehCQ25uLuLj42FtbY24uDjk5OQ8dltee4GIiIiIiIhofDC60JCXlwepVAoAkEql\nj12tYGFhAblcDqVSieTkZGNfjoiIiIiIiIhGgSHvOhEVFYXGxsZHnv/www+xdetWlJeXw8bGBh0d\nHfDx8UFVVdUj2zY0NMDV1RUqlQrR0dH4+eef4eLi8mhDLCyG+VaIiIiIiIiI6LdgyJkKlkP98OzZ\ns4/92eHDh6FSqRAUFASVSgWZTDbodq6urgAAHx8fxMTEICUlBRs2bBhWo4mIiIiIiIjIPBl96kRo\naCiSkpLQ2dmJpKQkzJs375FtOjo6oNFoAABNTU1IS0vD4sWLjW8tEREREREREZk1owsNmzdvRnV1\nNSQSCerq6rBp0yYAQH19PZYtWwYAaGxsRHh4OAIDA7FmzRps374d7u7uI9NyIiIiIiIiIjI7Rhca\n7O3tcerUKVRXV+P777+HnZ0dAMDNzQ2pqakAAC8vLxQVFaGoqAjnzp1DXFzcI3/n4sWL8PHxwcyZ\nM/Hll18a2xwaB+Li4jB16lTMmjVLeE6j0UChUEAsFkOpVKKtrc2ELSRzVVNTg4iICPj5+eHll1/G\nt99+C4D5If1otVqEhoYiMDAQ8+bNQ0JCAgDmh/TX29uLoKAgREdHA2B2SH8eHh4ICAhAUFAQ5s6d\nC4D5If20t7fjjTfewIsvvghfX1/k5OQwO6SXsrIyBAUFCQ8HBwfs2bMHbW1tBuXH6ELDSNm2bRsO\nHDiA9PR07N27F83NzaZuEpmpt956C6dPnx7w3L59+yAWi1FRUYFp06Zh//79JmodmTMrKyskJCSg\ntLQUJ0+exPvvvw+NRsP8kF5sbGxw/vx5FBUV4cKFCzh48CAqKiqYH9Lb7t274evrK1z4mtkhfVlY\nWCAzMxOFhYXCHd6YH9LHBx98ALFYjJKSEpSUlEAqlTI7pBeJRILCwkIUFhaioKAAtra2WLFiBRIT\nEw3Kj0kLDXfu3AEAvPTSS5g+fToWLVqEnJwcUzaJzFh4eDgcHR0HPJebm4v4+HhYW1sjLi6O+aFB\nubi4IDAwEAAwefJk+Pn5IS8vj/khvdna2gIA2tra0NPTA2tra+aH9FJbW4sff/wR69evFy58zeyQ\nIR6+YDrzQ/pIT0/Hjh07YGNjA0tLSzg4ODA7ZLD09HR4e3vD3d3d4PyYtNCQl5cHqVQqfO/r64vL\nly+bsEU02jyYIalUKlT7iR7n2rVrKC0txdy5c5kf0ltfXx9mz56NqVOnYuvWrRCLxcwP6eWdd97B\np59+igkT/n/IxeyQviwsLCCXy6FUKpGcnAyA+aEnq62thVarxebNmxEaGopdu3ahs7OT2SGDHT9+\nHLGxsQAM3/eY/NQJouHgbVHJEBqNBq+99hoSEhJgZ2fH/JDeJkyYgOLiYly7dg2JiYkoLCxkfuiJ\nfvjhBzg7OyMoKGhAXpgd0ldWVhaKi4vx0Ucf4d1330VjYyPzQ0+k1WpRXl6OlStXIjMzE6WlpThx\n4gSzQwbp6upCSkoKVq1aBcDwzy6TFhpkMhmuXr0qfF9aWjrobTKJHkcmk0GlUgEAVCoVZDKZiVtE\n5qq7uxsrV67EunXroFAoADA/ZDgPDw8sXboUOTk5zA89UXZ2NpKTk+Hp6YnY2FhkZGRg3bp1zA7p\nzdXVFQDg4+ODmJgYpKSkMD/0RN7e3pBIJIiOjoZIJEJsbCxOnz7N7JBBfvrpJwQHB2PKlCkADB83\nm7TQ4ODgAKD/zhM3btzA2bNnERoaasom0SgTGhqKpKQkdHZ2IikpiYUqGpROp0N8fDz8/f3x9ttv\nC88zP6SP5uZmqNVqAEBLSwvOnDkDhULB/NAT7dy5EzU1NaisrMTx48chl8vxzTffMDukl46ODmg0\nGgBAU1MT0tLSsHjxYuaH9DJz5kzk5OSgr68PqampiIyMZHbIIMeOHRNOmwAMHzeb/NSJL774Ahs3\nbkRkZCS2bNmCyZMnm7pJZKZiY2MRFhaG8vJyuLu749ChQ9i8eTOqq6shkUhQV1eHTZs2mbqZZIay\nsrJw5MgRZGRkCLfqOX36NPNDemloaIBcLsfs2bPx+uuv47333oOrqyvzQwa7f9cJZof0cfPmTYSH\nhyMwMBBr1qzB9u3b4e7uzvyQXj777DNs27YNc+bMgY2NDdasWcPskN7a29uRnp6OV155RXjO0PxY\n6HiyDhERERERERGNEJOvaCAiIiIiIiKisYOFBiIiIiIiIiIaMSw0EBEREREREdGIYaGBiIiIiIiI\niEYMCw1ERERERERENGJYaCAiIiIiIiKiEfN/zrM3Q1aM3PYAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x748c8d0>"
}
],
"prompt_number": 66
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### The above graphs should all be centered about zero"
},
{
"cell_type": "code",
"collapsed": false,
"input": "np.diag(P) # this should be the cov(xhat)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 64,
"text": "array([ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])"
}
],
"prompt_number": 64
},
{
"cell_type": "code",
"collapsed": false,
"input": "left, middle, right = np.linalg.svd(P)\nassert np.all(middle > 0), \"Uh-oh, not all eigenvalues are positive\"\n\nmiddleOfInv = np.linalg.svd(P_inv)[1]\nassert np.all(middleOfInv > 0), \"Uh-oh, not all eigenvalues are positive\"\nplotNicely('Eigenvalues', {'P': middle, 'P inv': middleOfInv});",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": "<matplotlib.figure.Figure at 0x5966e30>"
}
],
"prompt_number": 65
}
],
"metadata": {}
}
]
}
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