diff --git a/11_Extended_Kalman_Filters.ipynb b/11_Extended_Kalman_Filters.ipynb index 8456eb5..c018fcb 100644 --- a/11_Extended_Kalman_Filters.ipynb +++ b/11_Extended_Kalman_Filters.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:07a79868f0ef4ab56ad65c6b1f80c568e5f0582b0890f6f2e5a747b7523224d5" + "signature": "sha256:01b730acd3b00473e0fe4652cf7023ecc7dbd6f08add98adf0b878a297e423e1" }, "nbformat": 3, "nbformat_minor": 0, @@ -16,11 +16,10 @@ ] }, { - "cell_type": "heading", - "level": 1, + "cell_type": "markdown", "metadata": {}, "source": [ - "The Extended Kalman Filter" + "#The Extended Kalman Filter" ] }, { @@ -257,13 +256,13 @@ ], "metadata": {}, "output_type": "pyout", - "prompt_number": 1, + "prompt_number": 2, "text": [ - "" + "" ] } ], - "prompt_number": 1 + "prompt_number": 2 }, { "cell_type": "markdown", @@ -271,7 +270,7 @@ "source": [ "**Author's note: this is still being heavily edited and added to - there is a lot of duplicate material, incorrect code, and so on. The examples are just a brain dump, not fully formulated and not ready to be used.**\n", "\n", - "**The Uncented Kalman filter (UKF) chapter is much further along. The UKF is almost always better performing than the Extended Kalman filter, and is much easier to implement, so if you have an urgenet need for nonlinear Kalman filter I'll point you towards that chapter for now.**\n", + "**The Unscented Kalman filter (UKF) chapter is much further along. The UKF is almost always better performing than the Extended Kalman filter, and is much easier to implement, so if you have an urgent need for nonlinear Kalman filter I'll point you towards that chapter for now.**\n", "\n", "The Kalman filter that we have developed to this point is extremely good, but it is also limited. Its derivation is in the linear space, and hence it only works for linear problems. Let's be a bit more rigorous here. You can, and we have in this book, apply the Kalman filter to nonlinear problems. For example, in the g-h filter chapter we explored using a g-h filter in a problem with constant acceleration. It 'worked', in that it remained numerically stable and the filtered output did track the input, but there was always a lag. It is easy to prove that there will always be a lag when $\\mathbf{\\ddot{x}}>0$. The filter no longer produces an optimal result. If we make our time step arbitrarily small we can still handle many problems, but typically we are using Kalman filters with physical sensors and solving real-time problems. Either fast enough sensors do not exist, are prohibitively expensive, or the computation time required is excessive. It is not a workable solution.\n", "\n", @@ -284,11 +283,10 @@ ] }, { - "cell_type": "heading", - "level": 2, + "cell_type": "markdown", "metadata": {}, "source": [ - "The Problem with Nonlinearity" + "##The Problem with Nonlinearity" ] }, { @@ -304,7 +302,7 @@ "\n", "That's nonlinear. But it is also a very special form. You spent a lot of time, probably at least a year, learning how to integrate various terms, and you still can not integrate some arbitrary equation - no one can. We don't know how. If you took freshman Physics you perhaps remember homework involving sliding frictionless blocks on a plane and other toy problems. At the end of the course you were almost entirely unequipped to solve real world problems because the real world is nonlinear, and you were taught linear, closed forms of equations. It made the math tractable, but mostly useless. \n", "\n", - "The mathematics of the Kalman filter is beautiful in part due to the Gaussian equation being so special. It is nonlinear, but when we add and multipy it using linear algebra we get another Gaussian equation as a result. That is very rare. $\\sin{x}*\\sin{y}$ does not yield a $\\sin(\\cdot)$ as an output.\n", + "The mathematics of the Kalman filter is beautiful in part due to the Gaussian equation being so special. It is nonlinear, but when we add and multiply it using linear algebra we get another Gaussian equation as a result. That is very rare. $\\sin{x}*\\sin{y}$ does not yield a $\\sin(\\cdot)$ as an output.\n", "\n", "> If you are not well versed in signals and systems there is a perhaps startling fact that you should be aware of. A linear system is defined as a system whose output is linearly proportional to the sum of all its inputs. A consequence of this is that to be linear if the input is zero than the output must also be zero. Consider an audio amp - if a sing into a microphone, and you start talking, the output should be the sum of our voices (input) scaled by the amplifier gain. But if amplifier outputs a nonzero signal for a zero input the additive relationship no longer holds. This is because you can say $amp(roger) = amp(roger + 0)$ This clearly should give the same output, but if amp(0) is nonzero, then\n", "\n", @@ -323,11 +321,10 @@ ] }, { - "cell_type": "heading", - "level": 2, + "cell_type": "markdown", "metadata": {}, "source": [ - "The Effect of Nonlinear Transfer Functions on Gaussians" + "##The Effect of Nonlinear Transfer Functions on Gaussians" ] }, { @@ -356,19 +353,19 @@ { "metadata": {}, "output_type": "display_data", - "png": 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9Wul0uqBNW1ubFi9erI6ODklSR0eHZs6cqeXLl+fbtLe3q76+Pt8GAIZj2/aw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\nkoZsygoAFYawAuAK0XhYtp1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3iO9TZog5JKVkqoawAQAqC8PAAMAhxjLB3Sm6Ap0FtTp5CBsAoHQRVgBgCgycpzIcp05w\nHzxfpaa6VsFI4Kpax/IaAQAYD8IKAEyB/Bf50b7QO3H3+MF7rniH2emesAIAmGzMWQGAKZT/Qj/c\n6llTufHjtcoPVxuu1vxrY8I9AGCiCCsAYINS3kwxEg8pk82oyj30RwirgwEAJovzL+EBQJkabif5\nUsIqYACAYiKsAIBNhttJvpSwChgAoJgIKwAwxXp6L5XMEsUAANiJsAIARVJb+3WvQ0/vJWvief9G\nkM5bohgAAKdhgj0AFEmVV/J8tWJWKNojwzA0a4bP5qoAACgdhBUAKJJIIqR0unACfU/vpZKfVD9Q\nfhljAACKgbACAFMoFO0p+Un1A+WXMQYAoBgIKwAwQaNtglgJO7snUwlFY2GFIgGl0klNr5tpd0kA\ngDJAWAGACRppE8S62nr1hoNTXdKUi8RDkqRo4kulM2mWNAYATApWAwOASTS4FyWWjKg3erms5qkM\nJxIPyTRzdpcBACgjhBUAmERDDfmKxENlNU8FAICpQlgBgCKohHkq48H/DwDAtSCsAEARDPXl3HAZ\nFTEcTOqfcN/dc9H6m7ACALgWhBUAmASGy7BWBZP691NxuVwFbaLxsDUczHCV9+k3Eg8ple6zuwwA\nQIkr709LAJgi0XjYWhVMyu+nMvxkc8Pg9AsAwGj4tASASdYV6KyY4V4jSaYSBb1NAACMF2EFACZZ\nMBJg9S/1DwUb2NsEAMB4EVYAYJIYLkPRWNjuMhyvK9BJjwsAYEzYwR4AJkk0Hla1u0apdNLuUhwt\n39syx3eDzZUAAJyOnhUAmESReEjpTNruMgAAKAuEFQBA0Qxe0hkAgPFgGBgAoGii8f45PNXuGnm9\nXpurAQCUGnpWAABFFY2HleiL2V0GAKAE0bMCAJgSDAcDAIwXYQUArkH+i3d+RSvDRUf1aNhzBQAw\nXoQVALgGwUhAhsuQ4XJLkgyDsDJegwMfAACD8ekKANcoGg8rle6zuwzHG67XKRgJ0NsCABgRYQUA\nUFSDe51M01RNde1V7TKZzFSVBAAoEYQVAMCUqamulWma8hJWAABjQFgBgDHoCnSymtUkGCqkAAAw\nHMIKAIwB8ysAAJh6hBUAGKeuQKdS6aQkKZlKWL8DAIDJRVgBgHEKRgJKZ9KSpEg8ZP2O4Q0X6gyX\nwfA6AMCwCCsAMAamadpdQkkbLtRF42GG1wEAhjVqWHnrrbe0du1atbW1yTAMHTx4sOD2xx57TIZh\nFPy0t7cXtOnr69O2bdvU3NysadOmad26dbp48WJBm97eXm3atEmNjY1qbGzUo48+qnA4PAkvEQAm\nLh9W+oeA9e+twq71AAAU16iftLFYTN/5znf0q1/9SrW1tXK5XAW3u1wurVixQt3d3dbP66+/XtBm\n+/btevXVV/Xyyy/r7bffViQS0Zo1a5TL5aw2Gzdu1JkzZ3Ts2DEdPXpUp0+f1qZNmybpZQLA5AhG\nAjLN/nMXu9Zfu/ywsHzg6wp0KhrjAhUAoFDVaA1Wr16t1atXS+rvRRnMNE15PB75fL4h7x8Oh/Xi\niy/qpZde0v333y9JOnTokObNm6c33nhDK1eu1NmzZ3Xs2DG98847uv322yVJzz//vO688059/PHH\nuummm6719QEAHCgSDymTzajK3f8xFIwE1FA3y+aqAABOM+HLgi6XSydOnFBLS4tuvvlmbdmyRT09\nPdbtp06dUjqd1sqVK61jbW1tWrRokTo6OiRJHR0dmjZtmpYtW2a1aW9vV319vdUGAFD6kqmEslk2\nfwQAjM2oPSujWbVqlR566CHNnz9f58+f11NPPaX77rtPp06dksfjUXd3t9xut5qamgru19LSou7u\nbklSd3e3mpubC253uVzy+XxWm6G89957Ey0fKMB7CsMxvX2qrqpRMhWTYbiVzWZluNySVPD7UH/n\ncuao7cZ622S3m8rnymaz+vJK8Kp20WhUkuStmqa/nD0tSUrFvh4mjOFxzkIx8L7CZFqwYMGE7j/h\nsLJhwwbr98WLF2vJkiWaN2+eXnvtNa1fv37Y+7GyDoBSE0tGZBju0Rviml1J9s9b8Wi6zZUAAJxg\nwmFlsNmzZ6utrU3nzp2TJLW2tiqbzSoYDBb0rvj9ft19991Wm4FDx6T+MBMIBNTa2jrscy1dunSy\ny0eFyl9F4j2FoWQyGX3w6Wllza/nWLjdbhmG66rfB/6d71EZrd14bpvsdlP5XMO1m9nQpHhfRDUe\nj6ZP7w8p3/4m/xZHwjkLxcD7CsUw0dV9J30pm56eHl28eFGzZ8+WJC1ZskTV1dU6fvy41ebChQv6\n6KOPrCWOly1bpitXrhTMT+no6FAsFrtqGWQAmGqZDHMsiimWDLOxJgBgSKP2rMRiMX3yySeSpFwu\np88//1xnzpxRU1OTZs2apd27d+vhhx9Wa2urPvvsM+3atUstLS3WELCGhgZt3rxZO3fulM/n06xZ\ns7Rjxw7dcsstWr58uSRp0aJFWrVqlbZu3aoXXnhBpmlq69atevDBByc8zg0AAABAaRq1Z+Xdd9/V\nbbfdpttuu03JZFK7d+/Wbbfdpt27d8vtduuvf/2r1q1bp5tvvlmPPfaYtcpXfX299Rj79u3T+vXr\ntWHDBn3/+9/XjBkz9Pvf/75gz5YjR47olltu0QMPPKBVq1bp1ltv1aFDh4rzqgEAAAA43qg9K/fc\nc0/B5o2DHT16dNQn8Xg82r9/v/bv3z9sm8bGRsIJAMfIZDKqqpr0aX0Yh65ApyRpju8GmysBANiF\n7ZcBYAjMU7FPTXWtpP6NIoORgM3VAADsRFgBADiK96uwAgAAYQUAAACAIxFWAACOwYbBAICBCCsA\nAMfIh5WuQKdS6aQMl2FNtAcAVB6WugGAAfJfjGfN8FnHenovKZtlwv1UCkYCSmfSSmfCypk5VgQD\ngApFWAGAAfKrT2WzWbndbs3x3aBQtEc5M2tzZZUjmUoolU7aXQYAwAEYBgYAQwhFe1g21yaReEjp\nTFqGi48oAKh0fBIAABzJMPiIAoBKxycBAHwlP6k7z3AZ6u65aGNFlSWZSjA3CABQgLACAF/JT+rO\ni8bDSqX7bKyoskTiIeYGAQAKEFYAYARc7QcAwD6sBgYAX8nv8WG4DKWzKUn9V/thHybZA0Bl41MA\nAL6SDyvReJjhSA5hGAYbQwJABSOsAMAgXM13lmg8zDLSAFCh+EQGgEFYMhcAAGfgExkAAACAIxFW\nAAAlpSvQyRwWAKgQrAYGoOJ1BToVT8ZYorhE5OevzPHdYHMlAIBio2cFQEXrCnTqUrBTl8PdrADm\nYKwIBgCVibACoKIN3rUezsSKYABQmQgrACoeSxWXhprqWrtLAABMMT6hAVQ8lip2PsNlyPtVWMlv\n3gkAKH98QgOoWF2BTqXSSUn0rjjdwEBJWAGAysGnM4CKdTnst+ar0LsCAIDz8OkMoGJxhb70dAU6\nWWIaACoIYQUAUDKCkQBLTANABSGsAABKQjKVsOYYAQAqA2EFAFASIvEQe+IAQIUhrAAAAABwJMIK\nAKDkGC5D5zrPqivQaXcpAIAiIqwAqCgX/J+pK9CpTIYVpUpZNB7W5XC3gpGA3aUAAIqoyu4CAGAq\nBcMBVbmrVO2usbsUAAAwCsIKgIoTjYdV7a5hv44SZrgYGAAAlYCwAqAiReIhu0vABBhGYVjJz12Z\n47vBjnIAAEXCpSkAQMkLRgLMXwGAMkRYAQAAAOBIhBUAZa0r0MnytmWuK9DJzvYAUKYIKwDK2sDh\nQV2BTibVl6FgJMDO9gBQpggrAMpeTXWtpP4vtTkza3M1KAZWBwOA8sTZHUD5M/t7VUzTtLsSFIlh\nGDJcBkP+AKDMsHQxgLIXiYfUl0kQVsqQ4TKUTMUl9e+fkzNzLF8MAGWEsAIAKFnReFiSVOXm4wwA\nyhHDwAAAZSM/PwkAUB4IKwCAsuEdEFYyGVZ+A4BSR1gBAJS0wSuB5UMKYQUASh9hBUDZuuD/TKl0\nn91loMgMY+iwAgAofYQVAGUrGA7INHN2lwGb9PReYiljAChxhBUAFcFwGexeX2FC0R4FIwG7ywAA\nTABhBUBF6N+Dg93rAQAoJYQVAAAAAI7ELloAylJXoJNhXxWqp/eS3G633WUAACYBYQVA2ekKdOpS\nsFOmadpdCqZYMpXQlURY1dUeSWwSCQCljmFgAMpOMBJQOpO2uwzYIBIPFcxN8lbXspQxAJQwwgoA\noGwlUwn1hoN2lwEAuEYMAwNQVriKjoEi8ZC8HoaCAUCpomcFQFkhrAAAUD4IKwCAssMmoABQHggr\nAICyM3gT0K5Ap7oCnTZWBAC4FsxZAVA2ugKdSvYllEon7S4FDhOMBCRJc3w32FwJAGA8Ru1Zeeut\nt7R27Vq1tbXJMAwdPHjwqjZ79uzR3LlzVVdXp3vvvVcffvhhwe19fX3atm2bmpubNW3aNK1bt04X\nL14saNPb26tNmzapsbFRjY2NevTRRxUOhyf48gBUgvxV82AkoFCUZYsBACgXo4aVWCym73znO/rV\nr36l2tpauVyugtufeeYZPfvsszpw4IDeffdd+Xw+rVixQleuXLHabN++Xa+++qpefvllvf3224pE\nIlqzZo1yuZzVZuPGjTpz5oyOHTumo0eP6vTp09q0adMkvlQA5SoYCVhXzqX++QoAAKD0jToMbPXq\n1Vq9erUk6bHHHiu4zTRN7du3T7t27dL69eslSQcPHpTP59ORI0e0ZcsWhcNhvfjii3rppZd0//33\nS5IOHTqkefPm6Y033tDKlSt19uxZHTt2TO+8845uv/12SdLzzz+vO++8Ux9//LFuuummyXzNAMpQ\nTXWt+tIJSZJhGMplc6PcA5UimeofGuip9tpdCgBgnCZ0+fH8+fPy+/1auXKldczr9equu+7SyZMn\nJUmnTp1SOp0uaNPW1qZFixapo6NDktTR0aFp06Zp2bJlVpv29nbV19dbbQBgRKaYq4IhReKhq4YG\nMuEeAErDhCbYd3d3S5JaWloKjvt8PnV1dVlt3G63mpqaCtq0tLRY9+/u7lZzc3PB7S6XSz6fz2oz\nlPfee28i5QNX4T1VmlLuqBLVcaUzKVVXeSRJ2WxWhstttRn493C/X+ttI7WTpFzOnJLnmsrXVYo1\nRaNR6994yh2VJHV1fj18sBRxzkIx8L7CZFqwYMGE7l+01cAGz20ZzDTNYj01gDLnqS/sFM6mmKMC\nAEA5mlBYaW1tlST5/X61tbVZx/1+v3Vba2urstmsgsFgQe+K3+/X3XffbbXp6ekpeGzTNBUIBKzH\nGcrSpUsnUj5gyV9F4j1VGt4/V3jVz+uuVTrTJ7fbLcPov1Ay8PfBf19Lu2t5jHyPylQ811S+rlKt\nadYMn26at1jS1++hb3+zNP/Nc85CMfC+QjFMdHXfCV2OnD9/vlpbW3X8+HHrWDKZ1IkTJ9Te3i5J\nWrJkiaqrqwvaXLhwQR999JHVZtmyZbpy5UrB/JSOjg7FYjGrDQAAE+GtrlUmw672AFBKRu1ZicVi\n+uSTTyRJuVxOn3/+uc6cOaOmpiZdf/312r59u55++mktXLhQCxYs0N69ezV9+nRt3LhRktTQ0KDN\nmzdr586d8vl8mjVrlnbs2KFbbrlFy5cvlyQtWrRIq1at0tatW/XCCy/INE1t3bpVDz744ITHuQEo\nT4bLUDIVZ4UnjEsmk1FVVZVM0xx1uDIAwH6jhpV3331X9913n6T+eSi7d+/W7t279dhjj+nFF1/U\nzp07lUgk9MQTT6i3t1d33HGHjh8/rvr6eusx9u3bp6qqKm3YsEGJRELLly/X4cOHCz4ojhw5om3b\ntumBBx6QJK1bt04HDhyY7NcLoExE4/3dyl5PndLZlM3VoBQkUwlFY2F5vV7CCgCUiFHDyj333FOw\neeNQ8gFmOB6PR/v379f+/fuHbdPY2KhDhw6NVg4AFIjGw6pyF22tEJSRSDwkr6dWXYFOZbMZGYbH\n7pIAAKNgCR0AJYud6nEtgpGAcmbW7jIAAGPAJz2AkmUYnMIwMWwOCQDOxic9AKBiJFMJpdJJ6+9g\nJKBgpLQ3hgSAckZYAQBUjEg8pHQmbXcZAIAxYlYqgJIxcLgO81UwUTXVtepLJ+wuAwAwAsIKgJIx\ncLgO81UHFeKuAAAa5ElEQVQwUV7CCgA4Hp/2AEqK4TIK5hwAk4GJ9gDgTIQVACUlGg8rm2XZWUwu\nJtoDgDMRVgCUHIaAYTIMXhkMAOA8fOIDKAldgU6+WGJSDV4ZzHAZDAUDAIchrAAoCcFIgCVnURT5\neVDReJihYADgMKwGBgCoaNF42O4SAADDoGcFAAAAgCMRVgAAEBuNAoATcWYG4HhMrkexGS6DVeYA\nwIE4MwNwrEwmI4nJ9SiefG/K4KCSf+8BAOxFWAHgWHxhRLEN15vCew8AnIGwAsDR8l8amU+AqdYV\n6GTfFQCwGUsXA3A0K6wYhnLZnM3VoNzlN4bMZrMKfHlRnmqv5vhusLssAKhYhBUAJcNwGcqZBBYU\nT37Plb5UUulMWp5qr80VAUBlY1wFAEfr6b1krQTGak2YCtF4WDkza3cZAAARVgA4XCjaw0pgAABU\nKMIKAAAAAEcirAAAAABwJMIKAMfoCnSqu+ei3WUAAACHIKwAcIxgJKBUus/6u6f3krJZNueDfWqq\na+0uAQAqGksXA3CcrkCn4smYIrFeVmXClBu4Aam3utbaGJL9VgBg6tGzAsBxgpGALoe7CSqwxeAl\nsoORgIKRgE3VAEBlI6wAAAAAcCTCCgAAo2DuCgDYg7ACwJEGzhsA7OYlrACALfg2AMBRkqmEUunk\nVfMGADv0vx/7Rm8IACgKvg0AcAzTNBWJh5TOpO0uBZAkReIhmWbO+rsr0GmtDgYAKD7CCgDHME3T\n7hKAISVTCXUFOlkZDACmGPusALAdV6rhdJF4SH2ZhN1lAEDFIawAsE0+pHClGqUok8moqoqPUQAo\nJs6yAGxDSEEpI6wAQPExZwWA7UzTlOEylM1m7C4FGBHzqgBgahFWANgik/k6mJimqWg8rJyZtbEi\nYGSGy1Amk2aDSACYQoQVALYYGFaAUpAP1GwQCQBTh7ACYMp1BTrV1fO5Uumk3aUA45ZfxhgAUHyE\nFQBTLhgJKBQNKM2QGpSgSDzE4hAAMEUIKwCmXMEkZVNMrAcAAENizUUAU25gWInEQzZWAgAAnIye\nFQBTion1AABgrAgrAKYUYQXlhPczABQXYQUAgHEyXIaisTBhBQCKjDkrAACMUzQeVrW7RpLk9Xpt\nrgYAyhdhBQCAa5BfHCIcC2la7Qy1Ns+1uSIAKD+EFQAArlEkHlImm5GnqsbuUgCgLDFnBcCUYGw/\nyhm72gNAcdCzAqAoMpmMqqqqCv4OhLqU7EuwCSTKTiQeUl8mId+sOQXvewDAxHBGBVAUA8NKV6BT\n1e4aBSMB9aUSNlcGFM/gkA4AmBiGgQEomvzQr2AkoERfzOZqAABAqSGsACiafFgxTdPmSgAAQCki\nrAAoOsIKKkFNda3dJQBA2SGsACiqrkAnE+pRGUwpGgvbXQUAlBVmAQIoqmAkoJyZVTKVUCqdtLsc\noGgi8ZC8HnpXAGAyEVYAFEVP7yV5PXXW3/nN86rcnHZQvpKphM51npUk1XnrNcd3g80VAUBp41sD\ngKIIRXs0c9p1dpcBTKl8KJek+tR0wgoATBBzVgAUDUO/UMmqDA+72gPABE04rOzZs0eGYRT8zJkz\n56o2c+fOVV1dne699159+OGHBbf39fVp27Ztam5u1rRp07Ru3TpdvHhxoqUBsFkkHlI6k7a7DMAW\nsWRYwUjA7jIAoKRNSs/KwoUL1d3dbf28//771m3PPPOMnn32WR04cEDvvvuufD6fVqxYoStXrlht\ntm/frldffVUvv/yy3n77bUUiEa1Zs0a5XG4yygMwxVgBDJXOcDFwAQAmw6TMWXG73fL5fFcdN01T\n+/bt065du7R+/XpJ0sGDB+Xz+XTkyBFt2bJF4XBYL774ol566SXdf//9kqRDhw5p3rx5euONN7Ry\n5crJKBHAFMqvAAZUKsMgrADAZJiUs+mnn36quXPn6hvf+IYeeeQRnT9/XpJ0/vx5+f3+gsDh9Xp1\n11136eTJk5KkU6dOKZ1OF7Rpa2vTokWLrDYAAJSyTIaeRgC4FhPuWbnjjjt08OBBLVy4UH6/X3v3\n7lV7e7s++OADdXd3S5JaWloK7uPz+dTV1SVJ6u7ultvtVlNTU0GblpYW+f3+EZ/7vffem2j5QAHe\nUxPjqTdU4/EqGo2qqtotScpmszJcV/8+0m1jbTcZj1Hs55KkXM4su9dVLjUV+7mi0ag+/Pgvqq+b\nrp7uoCYb5ywUA+8rTKYFCxZM6P4TDiurVq2yfv/Wt76lZcuWaf78+Tp48KBuv/32Ye/ncrkm+tQA\nHOZKMixPTbUM9+htgUoRS4VV7fHYXQYAlKRJ32elrq5Oixcv1rlz5/S3f/u3kiS/36+2tjarjd/v\nV2trqySptbVV2WxWwWCwoHelu7tbd91114jPtXTp0skuHxUqfxWJ99TE/OWTd3Ul+aXkkgyj/4KE\n2+0e8veRbhtru8l4jGI+V75HpdxeVznVVOznapjRoL5UUjUez6SeXzhnoRh4X6EYwuHwhO4/6TMA\nk8mkzp49q9mzZ2v+/PlqbW3V8ePHC24/ceKE2tvbJUlLlixRdXV1QZsLFy7oo48+stoAcL6uQKcy\nLFMMFIjGw8qZWSVTCfZcAYBrMOGelZ/97Gdau3atrr/+egUCAf3iF79QIpHQj370I0n9yxI//fTT\nWrhwoRYsWKC9e/dq+vTp2rhxoySpoaFBmzdv1s6dO+Xz+TRr1izt2LFDt9xyi5YvXz7R8gAUWSaT\nUVVVFSuAASOIxEPqyyTY0R4AxmnCYeXixYt65JFHdPnyZTU3N2vZsmX67//+b11//fWSpJ07dyqR\nSOiJJ55Qb2+v7rjjDh0/flz19fXWY+zbt09VVVXasGGDEomEli9frsOHDzOvBSgBmUxGgVAXO9UD\nozBchroCnQQWABiHCYeVf//3fx+1ze7du7V79+5hb/d4PNq/f7/2798/0XIA2CAYCSidSavKPenT\n4ICyEUtElTNzhBUAGAd2rQIwIT29l5RKJ9mxGxgFG0UCwPhx5gQwIaFoj9KZNF/EAADApOPbBYBr\nxq7cwPjk560AAMaGsAJgVMOFkks9XyibJbAAYxWNhxWMBK463hXoJMQAwBAIKwBGNTCsDPw9FO1h\nuWLgGmQymYKAEowEhgwxAFDpCCsAxiUfVroCnfSqANfAcBnqDQetgMJwSgAYHmEFwDVhE0jg2sQS\nUfVGLyuVTqqmupawAgAjYFMEAOPS03tJbrfb7jKAkmUYhiLxkDLZjGRK0VjY7pIAwLEIKwDGrCvQ\nqZ4vL6m2Zho71gOTIBIPyeuptbsMAHAshoEBGLP80K9YMqx0Jm13OUDZYUgYABQirAAA4BCEFQAo\nRFgBAMBGyVSCYZUAMAzCCoAx6Qp08oUKKIJIPKR0Ji3DZRRMtqeXBQCYYA9gBF2BTsWTsf59Ia70\nKJvNyjC4xgEUQzQe1vTaRuvvTCajqio+pgFUNs6CAIYVjASUSMZkGIYy2Yyq3JwygGLL72o/a4bP\n5koAwH588wAwInpSgKkVjARkuAxVu2vk9XrtLgcAbMW3EAAAHCYaDyvRFys4xhwWAJWIsALgKl2B\nTp3rPMuEemAKGa7Cj+RkKmE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"text": [ - "" + "" ] } ], - "prompt_number": 2 + "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This is an unsuprising result. The result of passing the Gaussian through $f(x)=2x+1$ is another Gaussian centered around 1. Let's look at the input, transfer function, and output at once." + "This is an unsurprising result. The result of passing the Gaussian through $f(x)=2x+1$ is another Gaussian centered around 1. Let's look at the input, transfer function, and output at once." ] }, { @@ -388,19 +385,19 @@ { "metadata": {}, "output_type": "display_data", - "png": 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v3k17cch0GXIN4QMHDoijR48Wvb29RUEQxHXr1ukcs2DBAtHLy0u0tbUVo6OjxcTEREOm\nQK3Uxo0bxcGDB4tOTk6itbW1GBISIv7jH/8Qy8rKdI6Nj48XhwwZItrb24tOTk7i0KFDxcOHD4vr\n1q0TFQqFzj4kubm54pQpU0RPT09RqVSKCoVCsq5+/frqxcXF4nPPPSd6eXmJ1tbWYmhoqPjxxx83\nmPPy5cvFgIAA0crKSvTy8hL/+te/igUFBWJ0dLTeNeR3794tDhgwQHR0dBQFQRAVCoV44MCB+3jV\niMwP+xnzcvLkSfHBBx8UXVxcRIVCIfmMrd8To6F9SkRRFNPS0sQnnnhC9Pb2Fm1tbcWuXbuKH3zw\ngVhXV6d374qFCxfq/Ryvd/s5SUlJ4osvvij27t1bdHd3F62trUVfX18xNjZW/O2333TOr/98vn0f\nknrXr18XZ8+eLQYFBYm2traio6OjGBQUJE6cOFHcsGGDZG+Mu+V6J/X9VUN7U124cEGMjY0VnZ2d\nRTs7O7Ffv37ipk2btHvD3H7enZ7XnfbOSktLE59//nmxY8eOorW1tahSqcTevXuLixYtEmtra7XH\nNaYfvf3/pSiKYnFxsfjGG2+IQUFBorW1tejs7CzGxMSIv/zyi86x9fuQ6LuOKIritGnT7vj/juQl\niGITSuK72LFjB44cOYIePXpgypQp+PTTTyU7Yr733ntYsmQJ1q9fj8DAQLz99ts4fPgwLl68qHeJ\nNiJzoFAo4Ofnh5SUFLlTIWrx2M8QEbU8Bi1IbuXo6IiPP/5Y21GIoggvLy+88MIL2lugVVVVcHd3\nx/Lly7UbFhGZGxYkRPJgP0NE1DIYbVL71atXkZ2dLdmN1MbGBoMGDcLRo0eNlQYREbVQ7GeIiMyT\n0Sa1169i0a5dO0nc3d0dGRkZkhg3kSNzo9Fo+L4ls9FS1+5nP0NEZBqa2s+YxCpbht4UiMiYCgsL\n5U6BiO6C/QwRkeky2pAtDw8PAJDsu1D/c30bERHRvWI/Q0Rknox2h8Tf3x8eHh7YtWuXdmfNqqoq\nHD58GMuXL2/wPHMdWpCQkAAAiIiIkDmTe8fnID9zzx/gczAVrWGIUmvrZ0xRS/i3Ymr4mjaspLwQ\na7YuQ2rWJUlcqbDAhCHPITJ0qN7z+Jo2j/vpZwxakJSXl+Py5csAbo6pT01NxenTp6FSqeDj44M5\nc+Zg6dKlCA4ORkBAABYvXgxHR0dMmjTJkGkQEVELxX6GiAAgPfcqVm9egsKyPEnc3sYRT416HZ29\nQ2XKjO6FQQuSEydOYMiQIQBujtddsGABFixYgGnTpuHLL7/Eq6++isrKSvztb39DYWEhIiMjsWvX\nLtjb2xsyDSIiaqHYzxDR2ZTjWL9zBWpqqyTxdm3aY+boN+Hm4ilTZnSvDFqQREdHQ6PR3PGY+s6D\niIioqdjPELVeoihi78lfsfnwVxAh3UYvuEM4po94BbbW/PLBHJnEKltERERERA2pU9fi+72f4ffz\ne3TaBnUfgUcGPQWlQilDZmQILEiIiIiIyGSVVZbgi23v4Up6oiSuEBR4bPDTGNh9hEyZkaGwICEi\nIiIik5RVkIZVmxcjv1i6nLetlR2mj3gVwb7hMmVGhsSChIiIiIhMTlLqKazb/gEqayok8bbOHpgV\nOx/t2rSXKTMyNBYkRERERGRSDp7Zhp8PfAGNKF3EorN3KJ4a+RrsbZ1kyoyaAwsSIiIiIjIJao0a\nPx34HIf/3KHTFhn6AMbHzIKF0lKGzKg5sSAhIiIiItlVVJdh7fYPcPH6GUlcgIAxA6cipscYCIIg\nU3bUnFiQEBEREZGscosysXrzEmQX3pDErS1tMGX4iwjr2EemzMgYWJAQERERkWyS0xPxxdZ3UV5V\nKom7Orph5ug34e3mJ09iZDQsSIiIiIhIFscS9+D7vZ9CramTxP08gvD0qNfhZO8qU2ZkTCxIiIiI\niMioNBo1Nh/5GntP/qrT1itwICY9+HdYWljJkBnJweQLkmtZl+DnESh3GkRERERkANU1lVgf9y+c\nSzmu0zYiciIe6jOek9dbGZMvSH4/v5cFCREREVELUFCSi9VbliAj75okbqm0whPDXkDPwAHyJEay\nMvmCxEJp8ikSERER0V1czbyIz7cuQ2lFkSTuZO+KZ0a9AV+PAJkyI7kp5E7gbmpqqxF/brfcaRAR\nERHRPfrj4kH8+6f5OsVIe7eOeGnCByxGWjmTL0gei34aVzLOI684S+5UiIiIiKgJNKIG2+O/w/qd\nK1CnrpW0desUidnjlsLVsa1M2ZGpMPmCxMrCGkN7PYpvd/8bx5P2yZ0OERERETVCTW011u/4J3Ye\n/16n7cGIxzBj5KuwtrSRITMyNWYxQcNT5YNhvcch7sRG+HoEop2rt9wpEREREVEDissLsGbLMlzP\nviyJK5UWmDj0b+gTEiNTZmSKzKIgAYBg33C0a9Meyze8jFcm/hMuDiq5UyIiIiKi26TlpGD1liUo\nLsuXxO1tnfD0yNfRybuLTJmRqTKbggQAXB3bokdAfxw9uwt2Ng7oH/YQN80hIiIiMhFnko/h67h/\noaauWhL3VHXAzNFvQuXcTqbMyJSZVUECAI9HPwMA+GLru7CytEFYxz5wtHOWOSsiIiKi1ksURfz2\nxy/YcuQrnbYuvj0x9eGXYWttJ0NmZA7MriCpN6LfE8jIu4afD34BextH9AwcADsbB3i08ZE7NSIi\nIqJWo7auFt/v/UTv4kPR4aMxZuA0KBVKGTIjc2G2BYmnygeeKh/0ChqIzPzrKC4rwKE/dyAiaBA6\ne4fC2spW7hSJiIiIWrTSimJ8se1dpGQkSeIKQYFxMbPQP+whmTIjc2K2BcmtPFUd4KnqACd7V6Tl\nJGPT4fXwbOuLgd0eljs1IiIiohYpM/86Vm9egvySbEnc1toeM0a8iqAO3WXKjMxNiyhI6nm19YVX\nW1/0DByEbfHfYPux75BTmIHO3qGwtLBE3y5D5U6RiIiIyOydv3YS63YsR1VNhSTu5uKFmbFvcosG\nahKjFyQLFy7E22+/LYl5eHggIyPDYI9haWGJsQOnAwBKyovw9vpnUVNbhZKKYu0xfh6BCGjf1WCP\nSUREpsEY/QxRayWKIg6e2YafD34JUdRI2gLah2HGyFdhb+MoU3ZkrmS5QxIcHIz9+/drf1Yqm2+i\nk5O9C5bOXK8T3/PHr4j7/Xt09OqCYN8eaO/mDytL62bLg4iIjMeY/QxRa6FW1+HHA5/jyNmdOm1R\nXR/EuOhZUCpb1OAbMhJZ3jVKpRLu7u5GezwrC91C4+G+E4C+E1BRVYZj5/dgd8KP8HHvJDmmoqoU\nQ3o+gjZObsZKlYiIDMDY/QxRS1dRVYYvt7+PS2l/SuKCoMDYgdMQHT4agiDIlB2ZO1kKkpSUFHh7\ne8Pa2hp9+/bF0qVL4e/vL0cqsLNxwJCeYzCk5xidtg17PsaeP36Bve3NW49WFtbo4tcLbZ09eDeF\niMiEmVI/Q2TucgozsHrzYuQUSYc9WlvZYtrwlxDqHyFTZtRSCKIoisZ8wJ07d6KsrAzBwcHIzs7G\n4sWLceHCBSQmJqJNmzYAgOLi/831uHz5sjHTu6P0wisoLM9GRU0prCxstPHq2kqEtY+CnbWTjNkR\nETUsICBA+3dn55a9maw59zNEpiar6Br2X/wRNXVVkri9tTOGhEyAqz3vRNJN99PPGL0guV1FRQX8\n/f3x+uuvY+7cuQDMr6O4UXAZ2SVpkk1/6tS18HD20/7c1tELNpbcoZSI5NGaCpLbtYR+hkgOl7JO\n4veUnTqT190c2yM6eBxsrexlyoxM0f30M7LPPLKzs0NoaCiSk5P1tkdEmP5twAjo5hi3fytEUY2Q\nkBAUlOYhNesirAQblJQXoLN3V7R372jyu8onJCQAMI//Bw0x9+dg7vkDfA6m4tZfwFubltDPmIuW\n8G/F1Mjxmmo0avx6eD2OXdmu0xYRPBgTh/4NlhZWRsvH0Pg+bR7308/IXpBUVVUhKSkJQ4YMkTsV\ng1I5eAAAfD0C4esRiB4BUQCA3KJM1NZV4+i53bBpYDf53MIMeLn5w87anjucEhHdp5bazxA1h8rq\nCny1cwUSryXotI3q9wQe7P04J6+TwRm9IHn55ZcRGxsLHx8f5OTk4J133kFlZSWmTp1q7FRk4ebi\nCQB4dNCMBo+pqatGVXUlktPPYfux77TxssoS1NbVwN3FC907R8Kdmw4REelo7f0M0b3KL8nG6s1L\nkJl/XRK3tLDC5GFzEP7fL1eJDM3oBUl6ejomTpyIvLw8uLm5oV+/fjh27Bh8fEx7+JIxWVlYw8rC\nGj0DB0jiGlEDtboOpRVFOJa4B7jtC4q07CvwUPlob6OqnNzRrVM/ADc3i7RQWholfyIiObGfIWq6\nlIwL+GLrMpRWSofdONu3wczYN3W2RiAyJKMXJN99993dDyK9FIICCgsrtHFyx4h+E+96/PGkfYhP\n3I3K6nLkFmU0eEdFo1FjYPcRcLZvY+iUiYiMjv0MUdOcuHAA3/72b6jVdZK4j3snzBz9Jpwd+PsB\nNS/Z55BQ8+kTEtOo465mXsSvh9Zph5MBgCiKKMkvR1tHb2TkXQMAeLTxgULB3Y6JiIhaAo2owfb4\n77DrxEadtvDOUXhy2Gzuu0ZGwYKE4O8ZBH/PIElMrVHj113foqQyHzmFGbienQyFQnHXgqSqugJ+\nnkFwtm8DOxsHeKo6NGfqREREdA9qaqvxza6VOJ18VKftoT7j8HDkRCgEhQyZUWvEgoT0UiqU8G0b\nAgAID4ho9ES2ssoSpOdeRZ26FkfO7oSdjWOjziuvLEUXv57an33cO8PJ3qXpiRMREdEdFZXlY82W\npUjLuSKJK5UWmPTA8+gdHC1PYtRqsSAhg3KwdUJQh+4AoP1vY2QVpKG65uYusCUVhfjtj591lkXO\nKUxHWk4KAKCjZzCeGPaCgbImIiJqHa5nJ2PNlqUoLi+QxB1tnfH06Hnw9wyWKTNqzViQkEm4fZPI\nsI59dI5JSj0F4b9LiwmCIFkSuV5GXioC2nfVDi27nnlz6cLKP3N1jrWxsuW3QERE1GqcvnwUX+/6\nELV1NZK4p6oDZsXORxsnd5kyo9aOBQmZjRDfHgjx7XHHY6prq7R3WgAAZTfvsnTvFK5z7AcbXkJR\naf4dr9eujTe6dYpserJEREQmQhRF7DrxI7bF/59OW6hfBKY+/FKDmzUTGQMLEmpRrC1tYG1po/3Z\n1soBAPTOR3lr6mcAxDte7+i5XZI7MSnp59HRqwv89CwEoI8gKPghT0REsqmtq8F3ez5GwoUDOm0x\nPWIxZsBUrqBJsmNBQq2WpcXdN4ocHD5KJ6bWqHHw9DZkF9y46/nJ6efg7eavv1G8eQfG3zOkwfPL\nqm9uUFVQcnPImZO9Cze4JCKiRimtKMLnW9/F1cwLkrhCocT4mGcR1fVBmTIjkmJBQtRESoUSMT1j\nG3XsnY7TiBr8fn4vLqadafCYzKJrAADrNBG5RZmoqa2CIAjoF/pAg+c427eBva1To/IjIqKWKSPv\nGlZvXoKCUukcSjtrB8wY+RoCfcJkyoxIFwsSIpkoBMUdCwsAsKxMAABEhEZoY+m515BTmKH3+Jq6\nauw9uQltnNxRV1cLlXM77YIBttb28Grra6DsiYjIVCVeTcC6HctRXVslibu7eGFm7Hy4u3rJlBmR\nfixIiMyMt5sfvN38GmzvExID4OYE/2uZF1GnrgUAxCfuhq21/V2vX1ZRjFD/iAbbA326wdLCqmlJ\nExFRsxNFEftPbcGvh9dBFDWStiCf7pg+4hXY2TjIlB1Rw1iQELVQ1pY2kr1gGrsvTHZhOqqqK/S2\n3chNQdzxH+46AbK2rgaiKMLbzR9X/7t3TA91OJRKfuQQETUHtboOG/evwtFzu3XaBoQNx2ODn+Zn\nMJksvjOJSKKdq3eDbb4eAY26hlqjRn5xNgCgNLcaeaXp2Hn8BwjCzX1kcgoz0Mmr4cn89rZO6Bk4\noAlZExG1XuVVpfhy2/u4fOOsJC4ICjw6aAYGdR+p/fwlMkUsSIjI4JQKpXaMspNtBpxs2yAi4n/D\nwEoriu54/p9Xfte78SUAXM+6jI7eXQAAPu6d7ro3DRFRS5ZTmI5Vm5cgt0g6t9DGyg7THn4ZXfx6\nypQZUeMi2S5GAAAgAElEQVSxICEio3O0090X5lb9wx5qsO1KeiJW/vgmAKCDe2fJcpYajQaDuo9o\ncI6LhdKS81+IqMW4eP0Mvtz+PiqryyVxlVM7zIydD0+Vj0yZETUNCxIiMiudvEPx0exf9bal5aTg\nj4uH9LaJ0OBy2jn4tOtUH4Cbq5d26Ji9rZNkU00iIlN25GwcNu5bBc1tk9c7eoXgqZGvw9HOWabM\niJqOBQkRtRg+7h3h496xwfYhPcdq/y6KIn4/vxeX0s6itLIYOYXpcHVsq/e8q6lXUFlTitNZv+m0\nWVlYY8rwufefPBFRI6g1avx6aC0OnN6q09YnJAYThvy1URv/EpkSFiRE1CoJgoDI0KGNOvbHoq/w\nZ9ph1BXdXNO/tKIIvYIGaa9zJT3xnnLw8wjiqjdE1GiV1eVYv+OfOJ96UhIXIGBU/8l4oNcjnLxO\nZok9IRHRXfi17QK/tl20E/NzCtNRWJqnba9T10mOzypIQ35xNnKKMlBUlg8bK1udawqCAjNHvwlb\nFiRE1Aj5xdlYtXkxsgrSJPH6u7TdOkXKlBnR/WNPSETURO6u3nC/w/LIhaV5yC3KhAABIb7hsLSw\n1jkmpzAdZ1N+hyAoANychNrRK7jZciYi85Vdch0/ff8RyitLJHEXBxWeGf3mHYeqEpkDFiRERAYW\nGTr0rsPByqtKUV5Zqv35xIV9+O2PnxHTIxYB7bs2d4pEZCau5PyJ+ORt0IhqSbxDuwA8M3oenO3b\nyJQZkeGwICEikoG9jSPsbRwBAN/u/jeUCgu4OXugrLJY5sxaIY65N5iIux9CTTQBwFCVHb4f3x0X\ng9wBAD0C+uOJYS/ASs/dVyJzpJA7ASKi1qqmrhoV1WWwtrJFUupJlFQUoUdAf7nTIiIT0za/AhN+\nOAMAGN53AqY9/DKLEWpReIeEiEgmv534GQdObwEA2Nk4ws3FEwdOb0VYxz6wtrSBva2TzBkSkalo\nm1+BqcNfQq+ggXKnQmRwLEiIiJpZVU0l8ouzdeLdO/dD9879cDr5iHZy+7Hze7D35Cb0DRmCEf0m\nGjtVIjJhLEaopZKlIPnkk0/wwQcfICsrC6Ghofjwww8xYMAAOVIhImpWdepaHD23C78eWtvgMZZK\nK/h7BePx6GcwIpJFiCE0qZ8RReMm14IlJCQAgHaJbGq8U5eP4Ju4lahV12hjH83ZJGNGRMZj9ILk\n+++/x5w5c/Dpp59iwIAB+Pjjj/Hwww/j/Pnz8PHxMXY6REQGdSM3BUWl+dqfq2oqkFuUib89suiu\n53K1HMNgP0PmRBRFxB3/AduPfSd3KkSyMXpBsmLFCkyfPh1PPfUUAOCjjz7Czp078emnn2Lp0qXG\nToeI6L6dTTmOo2d3waddJ1TXVGp3cQcAJ3tXBPiEsdgwIvYzZC5q62rw7W//wR8XD+q0De01FgDv\nkFDrYNSCpKamBidPnsSrr74qiQ8bNgxHjx41ZipERBKlFUU4dVn/59D1zOsAgIozObiefRlO9m1g\nccsO61U1legZNAC9g6ONkSrdAfsZMhcl5YVYs3UZUrMuSeJKhQUmDHnuv3sZTZcnOSIjM2pBkpeX\nB7VajXbt2kni7u7uyMrK0ntO/XhUc2Xu+QN8DqbA3PMHTOc5iP+dL3Do0i9wslVJ4t6uneBkq3sn\nw69tyM2/VAB+juGwtrCDcOveFRYAykznOeoTEBAgdwpG0Rr7GVPE1/TOCsuzsef896ioke68bmVh\ni5jgx2FR6YyEhASdfV34uhoWX0/Dup9+hqtsEZFZU2vUUGtqJbG8sgzklKTpPb5OXYPSqiJ0cg+D\nT5sgaWFBRNTM0gou4dDFX1B32+eWs60KQ0ImwFHPlyJELZ1RC5K2bdtCqVQiO1u6/GV2djY8PT31\nnmOuK3W0hJVG+BzkZ+75A01/DjW11Xfdrby0oghnko/BwsISuYUZcHPxgq2Nvbbd0doGD0f/HZYW\nVvee+C1awv+H4uLWsQN8a+pnTFFL+LfSXERRxN6Tm7A/aSNESFd2C+4QjmkjXoadtcMdr8HX1TD4\nPm0e99PPGLUgsbKyQq9evbBr1y489thj2vju3bsxbtw4Y6ZCRM0svyQbVdUVKCi/+Ytheu7VBo9N\nuHgAlv/ddbioNA9uLl5wtHO54/UHdBuONk7uhkuYWgT2M2SK6tS1+GHvZzh2fo9O28BuI/Do4Keg\nVChlyIzINBh9yNaLL76IyZMno0+fPoiKisJnn32GrKwsPPvss8ZOhYga4WrmBag16kYfX1pRjCvp\niaiurUJX/94oqyoEAOTp2RiwXo+AAejQrvN950oEsJ8h01JeWYIvtr2H5PRESVwhKPDo4KcxqPsI\nmTIjMh1GL0jGjx+P/Px8LF68GJmZmQgLC8P27du5NjyRzHIK05FdmK79+eL1M7CzcYBGo0GgT1ij\nr2Nv44CH+ozT3uGoLbr5MdO9M2+Nk3GwnyFTkV1wA6s2L0ZesXRBBVsrO0wb8QpCfHvIlBmRaZFl\nUvtzzz2H5557To6HJmqx0nKuIKtA/0Tu211IPQ2Vs3QVorKKYvTtMlQ7ybt/2EPwVHUweJ5ExsB+\nhuSWlHoK67Z/gMqaCkm8rbMHZsa+CY82LJCJ6nGVLSIzUFCSg3NXpcsTXrx+Gt5u/tqfa2qr0T/s\noUZdL6B9GFwcVHc/kIiImuzQme346cDn0IgaSbyTdyieHvka7G2dZMqMyDSxICG6T2eSjyGrIA33\nsnhsXnEWFAolnOxd9bZnZGQAALJqPBAe0A/O9v8rIvqExMDGyvZeUiYiomag1qjxy8EvcPDMdp22\nyC5DMX7Is7BQWsqQGZFpY0FC1AR16lqcTTmOzPzr2tiZ5HjE9p+CoA7d7+maCoUSCkGht41LExIR\nmYfK6nKs3bEcF1JPSeICBMQOmIohPcdw3yOiBrAgoVartKIINXXVDbYfP79PZ634wpJcuDq6YUS/\nidrYiMiJt59KREStSG5RJlZvWYLsghuSuJWlDaYOfxFhHfvIlBmReWBBQmaprLIExWX5dz2uoDwb\nFdUluHHoHKwsrSVtOYUZCPENb/DcAJ8wdPYOve9ciYio5UpOT8QXW99FeVWpJO7q0BYzY9+UzPUj\nIv1YkJBJOXnpMNJykrWb5DWksCQXgR26wcrC5o7H1e+B8WCvsXfdaI+IiKgpjiXuwfd7P4VaUyeJ\n+3kE4elRrzc4P5CIpFiQULOrqC7DlfTzetuuZl6EUqHUjqutrqnEiMiJsDbQZO36PTBYjBARkaFo\nNGpsOfo19vzxq05br8CBmPTg32FpYSVDZkTmiQUJNUpRWT4u3zjbpHMKSnJQXF4Ia0sb+Lh3Qltn\nD51jwjv3Q3v3jg1O6iYiIjIl1TWVWB/3L5xLOa7TNiJyIh7qM56T14maiAUJ6ZWadRkXMm+u8HTj\n0FmUVZYgMvQBONu3afQ1/DyC4OzQBlZ3GX5FRERkDgpKcrFmyxKk512TxC2VVnhi2AvoGThAnsSI\nzBwLkhbs9g2ZgJvf7Ny6Pnpy+jn4ewbrHFenroOvKhiCIKB793DYWdtDqeTbhYiIWqdrWZewZstS\nlFYUSeJOdq54ZvQ8+HoEypQZkfnjb5hmrqK6DLeuTFtcXoCTlw5BEBS4mnEBHb276JzTxbcH2rt1\nBAA8GPEoFAql3mvX74HhaOds+MSJiIjMxB8XD+H/dn+EOnWtJO7t5o+Zo9+Eq2NbmTIjahlYkJi4\nyupyVFSXIfFqAsoqS3TaM/NS0em2pWkjuzwAlXM7Y6VIRETUIomiiB3HNmDn8e912rp16ovJD82F\nteWdV3skortjQSKjmtpq5BZlAADOJB8D9MyByy64gUCfbnC2b4NB3UcaOUMiIqLWqaauGv+36yOc\nunxEp+2BiMcwKuoJLshCZCAsSIykpLwQ2YXpKKsswZX0c7CzcURVdQWc7F3h5uKFoA7ddO50EBER\nkfEVlxfg8y3LkJp9WRJXKizwl6F/Rd8uQ2TKjKhlYkFiIIlXE6ARNTibchwuDipkZNy885FTd/PD\nrKyiGEEdusPexhEP9RnPfTGIiIhM0I3cFKzevARFZfmSuL2tE54e+To66ZmbSUT3hwVJE1RWl+Os\nnnXHAeCXg1/ir48sxEO9x0Hl3E47ITwiIsKYKRIREdE9+vPK7/gq7l+oqa2SxD3a+GBm7Jt699Mi\novvHguQO8ouzkXgtQftzcVkBissL8FCf8TrHvjJxBdo4uRkzPSIiIjIAURSx549fsOXI1xBvXboS\nQIhvT0x7+CXYWtvLlB1Ry9fqCxKNqAFEEYVleUi4cFDSlpV/HX9cOqT9+ZWJ/0Q71/awsuRGf0RE\nRC1BbV0tftj7KX5P2qvTNjh8FMYOnA5lA8vjE5FhtNqCRCNqUFldjkNntiM5PRGdvUPRM3AgVE7u\nkuOeHDZb+3eFQglB0LMUFhEREZmdssoSfLH1XVzJOC+JKwQFxsXMQv+wh2TKjKh1aVUFSU1dNc4k\nxyO3MBO16mqUVhTDx70TYvtPQYd2neVOj4iIiIwkMz8NqzcvRn5JtiRua22PGSNeRVCH7jJlRtT6\ntNiCpKa2GjlF6QCA+HO/wd7WEaXlRXBxVGF45ASuHU5ERNRKnb92Eut2LEdVTYUk7ubihZmxb6Kd\nq7dMmRG1Ti2yIPlh72fIK85CUIfucHPxxKDuI9CuTXu50yIiIiIZiaKIg2e24eeDX0IUNZK2gPZh\nmDHyVdjbOMqUHVHr1WIKksz868jMv46kaydRWlkMf68QDO31iNxpERERkQlQq+vw04HPcfjsTp22\nqK4PYlz0LCiVLebXIiKzYvb/8krKi3A25Xf8eeV3jIp6AgEDpnDTQSIiItKqqCrD2u0f4GLaGUlc\ngICxA6cjusdoLlpDJCOzLki2xX+LvOIs9At9gGuEExERkY6cwgys3rIEOYXpkri1pQ2mPfwyQv25\ngTGR3Iw6szs6OhoKhULyZ9KkSU26hkajhkajxi8Hv0RNbRWG952AQJ9uLEaIiMgg/Qy1HJdvnMWK\n71/VKUbaOLph7vh3WYwQmQij3iERBAEzZszA0qVLtTFbW9tGn3825Tj2ndqMwPZh8Grri75dhjZH\nmkREZKbut5+hluPoud34Yd9n0GjUkrifZxCeGTWPw7uJTIjRh2zZ2trC3d397gfqcfjPnRjSYwy6\nduxt4KyIiKiluJ9+hsyfRqPG5iNfYe/JTTptEUGDMfGBv8HSwkqGzIioIUbfjGPDhg1wc3ND165d\n8corr6CsrOyu55RWFGP7se+gcnJnMUJERHd0L/0MtQxVNZVYs3WZ3mJkVL8nMPmhOSxGiEyQIIqi\naKwHW7NmDfz8/ODl5YVz585h3rx5CAgIQFxcnOS44uJi7d/PJf2JhKu/QeXgiWBPjvUkIroXAQEB\n2r87OzvLmEnzupd+5vLly8ZOk5pBWVUR9ib9gKKKHElcqbDAgIAx8G0bIlNm9y6it/RL2IQTJ2TK\nhOju7qefue8hW/Pnz5eM1dVn//79GDRoEJ555hltLDQ0FJ06dUKfPn1w6tQp9OjRQ++5V3MT0dbB\nC/5uofebKhERmaHm7mfI/OWW3MC+CxtRVVsuidtaOWJIyHioHDxlyoyIGuO+75Dk5+cjPz//jsf4\n+PjonVSo0WhgbW2Nb7/9FuPGjdPGb/3matW2RZgzbhmsLK3vJ02jS0hIAABERJjvXR0+B/mZe/4A\nn4OpuPVz1dzukDR3P2Nur4cpk+PfyokLB/Ddb/9BnbpWEvdx74RnRr8BFweV0XIxuNv3RjHeoJYW\nrSV8ppui+/lcve87JCqVCirVvf1jP3v2LNRqNTw9G/7mwt3Vy+yKESIiMpzm7mfIPGlEDXYc+w5x\nxzfqtHXv3A+Th83h7w9EZsJoq2ylpKTgm2++wciRI6FSqXD+/Hm89NJL6NmzJ/r379/ged079zNW\nikREZMbutZ8h81NTW41vdq3E6eSjOm3Deo/DiH4ToRCMvm4PEd0joxUkVlZW2Lt3Lz766COUlZXB\nx8cHo0aNwoIFCyDcfkvyFuGdo4yVIhERmbF77WfIvBSXFWDNlqW4npMsiSuVFpj0wPPoHRwtT2JE\ndM+MVpC0b98e+/fvb/J57ESIiKgx7rWfIfORlnMFqzcvQXF5gSTuaOuMp0fPg79nsEyZEdH9MPrG\niERERERNdSY5Hl/F/Qu1dTWSuKeqA2bFzkcbJ26GSWSuWJAQERGRyRJFEbtP/Iit8f+n0xbqF4Gp\nD78EGyvdFdaIyHywICEiIiKTVFtXiw17PsaJC/t12qJ7xGLsgKlQKJTGT4yIDIoFCREREZmc0ooi\nfL71XVzNvCCJKxRKjI+Zhaiuw2TKjIgMjQUJERERmZSMvFSs3rIEBSU5kridtQNmjHwNgT5hMmVG\nRM2BBQkRERGZjMSrCVi385+orqmUxN1dvDAzdj7cXb1kyoyImgsLEiIiIpKdKIrYf3oLfj20DqKo\nkbQF+nTDjBGvws7GQabsiKg5sSAhIiIiWanVddi4fzWOntul09Y/bDgeH/w0lEr+ykLUUvFfNxER\nEcmmvKoUa7e9j0s3zkrigqDAo4NmYFD3kdwkmaiFY0FCREREssgpTMeqzUuQW5QhiVtb2WL6wy+j\ni18vmTIjImNiQUJERERGdyntT3y57X1UVJdJ4iqndpgZ+yY8VR1kyoyIjI0FCRERERnVkbNx2Lh/\nNTQatSTe0SsET418HY52zjJlRkRyYEFCRERERqHRqPHLobU4cHqrTlufkBhMGPJXWFpYypAZEcmJ\nBQkRERE1u8rqCqzfsRznU09K4gIEjOo/GQ/0eoST14laKRYkRERE1Kzyi7OxessSZOZfl8StLKwx\nZfhcdOsUKVNmRGQKWJAQERFRs0nJSMKarctQXlkiiTs7qDBz9Jvwce8oU2ZEZCpYkBAREVGzOJ60\nD9/t+RhqdZ0k3sG9M54Z/QacHdrIlBkRmRIWJERERGRQGlGDbUf/D7sTftJp6xHQH088+AKsLK1l\nyIyITBELEiIiIjKYWnUN1m57H2euHNNpG95nAoZHToBCUMiQGRGZKhYkREREZBAV1SXYm/QDCsqz\nJHELpSWeePDv6BU0SKbMiMiUsSAhIiKi+3Y9OxnbznyJylrpzuuOdi54etQ8+HsGyZQZEZk6FiRE\nRER0X05dPopvdn2I2roaSdyrrR9mjn4TbZzcZMqMiMwBCxIiIiK6J6IoYteJjdgW/61OW1f/3pgy\n/EXYWNnKkBkRmRMWJERERNRktXU1+Pa3/+CPiwd12ob2GovRUZOhUChlyIyIzA0LEiIiImqSkvIi\nfL51Ga5lXZTEFYICfTuNwJgB0+RJjIjMksHW3Vu9ejViYmLg4uIChUKB69ev6xxTWFiIyZMnw8XF\nBS4uLpgyZQqKi4sNlQIREbVg7GdMQ3ruNfzz+1d0ihE7G0c8EPoEAtqFy5QZEZkrgxUklZWVGD58\nOBYtWtTgMZMmTcLp06cRFxeHnTt34uTJk5g8ebKhUiAiohaM/Yz8zqYcx4cbX0dhaa4k3s61PV6a\n8D48nH1lyoyIzJnBhmzNnj0bAJCQkKC3PSkpCXFxcThy5Aj69u0LAFi1ahUGDhyIS5cuITAw0FCp\nEBFRC8R+Rj6iKGLfqU3YdGg9RIiStuAO4Zg24mXYWTsgFekyZUhE5sxoW6XGx8fDwcEB/fr108ai\noqJgb2+P+Ph4Y6VBREQtFPuZ5lGnrsV3ez7Gr4fW6RQjA7uNwKwx/4CdtYNM2RFRS2C0Se1ZWVlw\nc5OuQy4IAtzd3ZGVldXAWTDbsb8BAQEAzDd/gM/BFJh7/gCfAxlPa+tnjGlk78kY2Vv/0Ley0v9t\nhMh/KwZWVCT9ma+rQfB9anrueIdk/vz5UCgUd/xz8KDucn9ERESNwX6GiIjueIdk7ty5mDJlyh0v\n4OPj06gH8vDwQG6udBKcKIrIycmBh4dHo65BREQtC/sZIiK6Y0GiUqmgUqkM8kD9+vVDWVkZ4uPj\nteN74+PjUV5ejqioKMmxzs7OBnlMIiIybexniIjIYHNIsrKykJWVhUuXLgEAEhMTUVBQAF9fX7i6\nuiIkJATDhw/HrFmzsHr1aoiiiFmzZmH06NHasXxEREQNYT9DRNQyCaIoinc/7O4WLlyIt99+++ZF\nBQGiKEIQBKxdu1Z7O76oqAh///vfsXnzZgDAmDFj8J///AdOTk6GSIGIiFow9jNERC2TwQoSIiIi\nIiKipjLaPiRERESmYPXq1YiJiYGLiwsUCgWuX7+uc0xhYSEmT54MFxcXuLi4YMqUKVwitImio6N1\nVkybNGmS3GmZnU8++QT+/v6wtbVFREQEDh8+LHdKZmvhwoU670kvLy+50zIrBw8eRGxsLNq3bw+F\nQoH169frHLNw4UJ4e3vDzs4OMTExOH/+/F2vy4KEiIhalcrKSgwfPhyLFi1q8JhJkybh9OnTiIuL\nw86dO3Hy5ElMnqx/Hw7STxAEzJgxQzv3JysrC6tWrZI7LbPy/fffY86cOZg/fz5Onz6NqKgoPPzw\nw0hLS5M7NbMVHBwseU+ePXtW7pTMSnl5Obp164aVK1fC1tYWgiBI2t977z2sWLEC//nPf3DixAm4\nu7vjwQcfRFlZWQNXvIlDtoiIqFVKSEhAnz59cO3aNXTo0EEbT0pKQmhoKI4cOaJdrevIkSMYOHAg\nLly4gMDAQLlSNisxMTHo2rUr/v3vf8uditnq27cvwsPDJYVcYGAgHn/8cSxdulTGzMzTwoUL8dNP\nP7EIMRBHR0d8/PHH2jl8oijCy8sLL7zwAubNmwcAqKqqgru7O5YvX46ZM2c2eC3eISEiIrpFfHw8\nHBwctMUIAERFRcHe3h7x8fEyZmZ+NmzYADc3N3Tt2hWvvPLKXb8lpf+pqanByZMnMWzYMEl82LBh\nOHr0qExZmb+UlBR4e3ujY8eOmDhxIq5evSp3Si3G1atXkZ2dLXnP2tjYYNCgQXd9zxps2V8iIqKW\nICsrC25ubpKYIAhwd3dHVlaWTFmZn0mTJsHPzw9eXl44d+4c5s2bhz///BNxcXFyp2YW8vLyoFar\n0a5dO0mc78N7FxkZifXr1yM4OBjZ2dlYvHgxoqKikJiYiDZt2sidntmrf1/qe89mZGTc8VzeISEi\nIrM3f/58ncmqt/85ePCg3Gmavaa8zs888wwefPBBhIaGYsKECfjhhx+we/dunDp1SuZnQa3V8OHD\n8fjjj6Nr164YOnQotm3bBo1Go3diNhnW7XNNbsc7JEREZPbmzp2rHcfcEB8fn0Zdy8PDA7m5uZKY\nKIrIycmBh4fHPefYEtzP69yzZ08olUokJyejR48ezZFei9K2bVsolUpkZ2dL4tnZ2fD09JQpq5bF\nzs4OoaGhSE5OljuVFqH+8zE7Oxvt27fXxrOzs+/62cmChIiIzJ5KpYJKpTLItfr164eysjLEx8dr\n55HEx8ejvLwcUVFRBnkMc3U/r/PZs2ehVqv5y3QjWVlZoVevXti1axcee+wxbXz37t0YN26cjJm1\nHFVVVUhKSsKQIUPkTqVF8Pf3h4eHB3bt2oVevXoBuPkaHz58GMuXL7/juSxIiIioValf7vPSpUsA\ngMTERBQUFMDX1xeurq4ICQnB8OHDMWvWLKxevRqiKGLWrFkYPXo0AgICZM7ePKSkpOCbb77ByJEj\noVKpcP78ebz00kvo2bMn+vfvL3d6ZuPFF1/E5MmT0adPH0RFReGzzz5DVlYWnn32WblTM0svv/wy\nYmNj4ePjg5ycHLzzzjuorKzE1KlT5U7NbJSXl+Py5csAAI1Gg9TUVJw+fRoqlQo+Pj6YM2cOli5d\niuDgYAQEBGDx4sVwdHS8+x5EIhERUSuyYMECURAEURAEUaFQaP+7fv167TGFhYXik08+KTo5OYlO\nTk7i5MmTxeLiYhmzNi9paWni4MGDRZVKJVpbW4udO3cW58yZIxYWFsqdmtn55JNPRD8/P9Ha2lqM\niIgQDx06JHdKZusvf/mL6OXlJVpZWYne3t7i448/LiYlJcmdllnZt2+fzuenIAji9OnTtccsXLhQ\n9PT0FG1sbMTo6GgxMTHxrtflPiRERERERCQbrrJFRERERESyYUFCRERERESyYUFCRERERESyYUFC\nRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERE\nRESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESy\nYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFC\nRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERE\nRESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESyYUFCRERERESy\nYUFCREREdI+uXbsGhUKB6dOny50KkdliQUJERER0nwRBkDuFu6ovnmJiYuROhUjCQu4EiIiIiMxV\n+/btceHCBTg7O8udyl3VF03mUDxR68KChIiIiOgeWVhYIDAwUO40GkUURblTINKLQ7aIiIiI7pG+\nOSTTpk2DQqHAgQMH8OOPP6JPnz6wt7eHSqXCxIkTkZGRoXOd6OhoKBQKXL16FcuXL0dQUBBsbW3R\noUMHvPzyyygrK9M5507DrxYuXAiFQoGDBw8CANatW4eOHTsCAPbv3w+FQqH9s2jRIkO8FET3jHdI\niIiIiO6TvmFQn3zyCTZv3owxY8YgJiYGx44dw/fff48zZ87g9OnTsLKy0jln9uzZOHLkCCZMmABn\nZ2ds374dK1aswOHDh3Hw4EGdcxo7/KpHjx6YPXs2Vq5cCT8/P0ybNk3bFh0d3aTnSmRoLEiIiIiI\nmuaYCXcAABl2SURBVEFcXBwSEhIQGhqqjT3xxBP47rvvsGnTJowbN07nnGPHjuHMmTNo3749AGDJ\nkiV47LHHsGnTJqxYsQKvv/76PeXSvXt3zJkzR1uQvPXWW/f2pIiaAYdsERERETWDF154QVKMAMAz\nzzwDADhx4oTec2bPnq0tRoCbw7Lee+89CIKAL7/88r7y4RwSMlUsSIiIiIiaQUREhE6svtgoLCzU\ne87gwYN1YoGBgXB3d8eVK1dQXl5u2CSJTAALEiIiIqJm4OLiohOzsLg5Wl6tVus9p127dneMl5SU\nGCg7ItPBgoSIiIjIRGRnZ98x7uTkJInX1dXpPb6oqMiwiRE1IxYkRERERCZi//79OrGLFy8iOzsb\nnTt3hr29vTbu6uqKtLQ0vdfRN0dFqVQCaPjuDJFcWJAQERERmYiVK1dKigy1Wo3XXnsNACR7nQBA\nZGQkUlNTsWPHDkl8zZo1iI+P11kS2NXVFQAaLGKI5MJlf4mIiIhMRP/+/REeHo7x48fDyckJO3bs\nwLlz59CnTx+89NJLkmNfeeUVxMXF4ZFHHsH48ePh5uaGP/74A3/88QdGjRqFrVu3So53cHBAVFQU\njh49itjYWPTo0QOWlpYYPHgwBg4caMynSSTBOyREREREBiQIQqM3LLz9vA8//BDz5s3Dvn37sHLl\nShQVFeHFF1/Enj17YGlpKTk+OjoamzdvRnh4OH788UesXbsWLi4u+P3339GrVy+9OXz99dcYO3Ys\n4uPjsWTJEixYsAD79u275+dKZAiCyEWpiYiIiGQVHR2NgwcP4tq1a+jQoYPc6RAZFe+QEBEREZmA\ne7mrQtQSsCAhIiIiMgEctEKtFSe1ExFRq1NcXCx3CkQSarUagiCgpKSE708ye87Ozk06nnNIiIio\n1eEvfEREzaepBQmHbBERERERkWw4ZIuIiFq1pn6TRw1LSEgAAERERMicScvB19Tw+Jo2j/u588w7\nJEREREREJBsWJEREREREJBsWJEREREREJBsWJEREREREJBsWJEREREREJBuuskVE9P/t3XlwlHWC\nxvGnu3MfnYuEnJAEEoIJCqQJEAWJiuDFlCPOKCW6Y63H1tZajOPMrrtWyey47s4W69aUR6kzNTvU\n6qw6YzmHyggqCkhQAnIlHIkQCMEckNAkIQlJ+t0/ZsyACCShu399fD9VKd566ff3Pry8SfWTX7/v\nCwAB5lTPSXX3njQdA/ALZkgAAAACzP6mnfr1uufU3XdSHs+QmtsbtW3/Bg0MDpiOBngdMyQAAAAB\n4sxgv555/R81ffJczS69Xhu2/UGn+jo1qaVEyQlpaus8ppvm3GU6JuBVzJAAAAAECkvqPNWmlo6j\nSnOO16BnQAtKlmreVTdradWDGvIMamDwjE71dJpOCngNhQQAACDApDkzVDLhKi0qu1fpiTmaOnGG\n7Da7EmKTtG3/Rv3rrx42HRHwGgoJAABAgLEk2e0ORTgiz1k/KadUks5bDwQzriEBAAAIAB2n2rRu\n65uaNbVKJROuuuDrOrva/ZgK8D0KCQAAQAA4M9ivorxpmll8zUVf99ne9SornOWnVIDv8ZEtAACA\nALCl9n0lxadc9DUZyVn6m5seU6ozw0+pAN+jkAAAABj2i7f/Q12n3cPXiFxIdFSsJmYWSZJ6+rrU\ncYqPbyH4UUgAAAAMyx43UcsXrRjVNjsbtujdLb/2USLAfygkAAAABjW2HNDpvu5RbZOXMUnrtv5W\ndrvDR6kA/7FZlmWZDgEAgD+53e7h5fr6eoNJAOlAyzblphYrLipxVNu98dl/KzelSJVFt/ooGTBy\nRUVFw8tJSUmj2pYZEgAAgCB03dTvKCYyznQM4LJx218AQFhzuVymI4SMmpoaSRzT0erffUJlhVcp\nKT71vL+7+DF16d0t/8fxHiXOU984e+Z5tJghAQAAMKjh6J4xb2tZljyWx4tpAP+jkAAAABiUkpiu\nxLjkMW07OHRGjV/u93IiwL8oJAAAAAacGejXq+ueVXysU3bb2N6SuaYs0Gd7P/RyMsC/uIYEAADA\ngLerX1XF1CoV5ZaNeYyc9HzFRieot79HsdHxXkwH+A8zJAAAAAbERMVeVhn5Sm56oWoP1XghEWAG\nhQQAACCI5WUUmo4AXBYKCQAAgJ81tzfK3d3htfEGhwa9NhbgbxQSAAAAPxvyDGpaYYVXxoqPdWr3\nwU+9MhZgAoUEAADAzz6t+3DMt/r9uviYRGWPy1drx1GeSYKgRCEBAADwoyOtDbJkaWJmkdfGHBg8\no//89aMa4qNbCEIUEgAAAD/qONWma6Yt8uqYs0qu1a2V9+iDbW95dVzAHygkAAAAQS4nvUBVM5fw\nkS0EJQoJAABAiBgcGpTHM2Q6BjAqFBIAAAA/2tGwWdFRsT4Z+3Rfl9rdLT4ZG/AVCgkAAICfHHe3\nKCUxXWnO8T4Z3xtPfgf8jUICAADgJ7u++FSzShaYjgEEFAoJAACAH6UkpvtsbIc9Qru/4CGJCC42\ny7Is0yEAAPAnt9s9vFxfX28wCcJNXfMWTR4/Q1ER0T7bx7bGD3RV3nxFOCJ9tg/g64qK/vpcnaSk\npFFtywwJAABACImNTFDbqSOmYwAjFmE6AAAAJrlcLtMRQkZNTY0kjumFdPee0pbDv1d5ebmiI2NG\ntM1Yjml6rlNb933E/8MFcJ76xtkzz6PFDAkAAIAffLj997p9/v0jLiNjNTGzWHExiT7dB+BNFBIA\nAAA/iHBEKCe9wHQMIOBQSAAAAAAYQyEBAAAIMWcG+nWy+4TpGMCIUEgAAABCTFnhLNU1bjMdAxgR\nCgkAAICPnTjVqmPHG/22v3FJmX7bF3C5KCQAAAA+9kHNW7p5zjK/7pOPbCFYUEgAAAB8qLOrXX1n\nepU9bqLf9hkXk6D2k1/6bX/A5aCQAAAA+NBxd6tcJfP9us+oiGilJ2f5dZ/AWFFIAAAAfOi4u0UR\njijTMYCARSEBAADwoaa2L5STnm86BhCwKCQAAAA+lBDrVHxMot/3O3F8kdZ8+rrf9wuMFoUEAAAg\nBJUWuPTF0T3qH+gzHQW4KAoJAABAiJo2abYOtxwwHQO4KAoJAACAj+w/slMez5Cx/ZdPma99R3Ya\n2z8wEhQSAAAAH3H3dGhO6Q3G9p8Q61SEI8LY/oGRoJAAAAD4yOf1nyg6MtZohtN93Toz0G80A3Ax\nFBIAAAAfGBwaUF76JCXGJRnNkRiXrI271hjNAFyMzbIsy3QIAAD8ye12Dy/X19cbTIJQtqtpo8Yl\n5ig7udBoDo/l0c4jH2vGxCqjORDaioqKhpeTkkZXwpkhAQAA8JHMpHzTEWS32WWz8ZYPgYurnAAA\nYc3lcpmOEDJqamokcUy/cnzoC7nKy2W3O8Y8hreOadtgPf8vf8F56htnzzyPFnUZAAAAgDEUEgAA\nAC/rH+hTQ3OtZLOZjiJJOtl1XMeOHzYdA/hGFBIAAABvsyxNnThT9gC5duPa6beq/eSXpmMA3ygw\nvksAAAAAhCUKCQAAQBg4drzRdATgG1FIAAAAQlx6SrZ6+rpMxwC+EYUEAAAgxEVFRCsuJsF0DOAb\nUUgAAAC8yN3Todc/fNF0DCBo8GBEAAAALzrd161JOVdoZvE801GAoMAMCQAAgJeccLfqdxt/pYyU\nbMVGx5mOc4705Gy9uu5Z0zGA81BIAAAAvKSlo0k3uL6totxppqOcp7z4GkVGRJmOAZyHQgIAAOAl\nvf09igrQN/12u0NJ8Snac3Cr6SjAOSgkAAAAXlLXuF2pzgzTMS5oUcV3dKStwXQM4BwUEgAAAC8Z\nl5ypxLhk0zGAoEIhAQAAAGAMhQQAAMALth/YpNioeNMxLulUT4fe3vyq6RjAMAoJAACAF/T0dal8\nynzTMS7pruv/XnY7bwEROGyWZVmmQwAA4E9ut3t4ub6+3mAShJL1e9/QnEk3KzYqwXSUS9px5GNN\nn3Ct6RgIIUVFRcPLSUlJo9qWegwAAOAFKfHjFRMZ+B/ZAgJNhOkAAACY5HK5TEcIGTU1NZLC95i2\nDdZr1qxZXh3TV8e0wf2ZppYWKz7W6dVxg0G4n6e+cvbM82gxQwIAABBmCrKm6MuOJtMxAEkUEgAA\ngLCTkphuOgIwjEICAABwmTbsfFfjkjJNxxiVD7f9Tl8015qOAVBIAAAALld3r1sVU6tMxxgFm5ra\nvlBHV7vpIACFBAAAINwU503TI0v/zXQMQBKFBAAAIGz19veYjgBQSAAAAC7H9gObdODILtMxRi0h\n1qmGo1xDAvMoJAAAAJfhyxNH9A93/MR0jFGLjY5XTnq+9hzcajoKwhyFBAAAYIya2g6qu/eUHI7g\nfNb0DeXfVvPxRtMxEOYoJAAAAGPk8QyqrIAnfgOXg0ICAAAwRv0D/aYjAEGPQgIAADAGPX1d2rRr\njTLT8kxHAYIahQQAAGAMDjTt0oziq5XmHG86ypjZbDY1HN2j/oE+01EQxigkAAAAY5SZGtyzI3a7\nQwtn3aH3PvuN6SgIYxQSAACAMFacd6UigvQuYQgNFBIAAAAAxlBIAAAAABhDIQEAABil1s5mbd33\nsaIiok1H8YovTxxRZ1e76RgIUzbLsizTIQAA8Ce32z28XF9fbzAJglVtc7XyUqfIGZtqOopXNB6v\nU0xEnDKT801HQZAqKioaXk5KShrVtsyQAAAAjILH8qi5s0Hx0U7TUbxmXGKODp/YZzoGwhS3VAAA\nhDWXy2U6QsioqamRFPrHdMgzpE6rUbMr5vh8X/48pic+PqQrppUoLjrB5/syKVzOU387e+Z5tJgh\nAQAAGIX2k8dMR/CJ4rwr9dv1PzcdA2GIQgIAADAKNfs+1qySBaZjeN20wgqNS840HQNhiEICAAAw\nQifcrTrublGqM8N0FCBkUEgAAABGyGN5dEV+uekYPmNZHu09/LnpGAgzFBIAAIAR2nNwqxz20L0n\n0Lwrb9HGXWtMx0CYoZAAAACMQPvJL3WkrUHlU+aZjuIzzvhk5Y4r0JBnyHQUhBEKCQAAwAh0drXr\n6mmLTMfwucm5ZVqz5TXTMRBGKCQAAAAjsOfgVtltDtMxfK44b5rsdt4iwn842wAAAEYgJjpOhdkl\npmP4xaFj+9Tbf9p0DIQJCgkAAMAlnO7v1uDggOkYfjN/+i3asPMd0zEQJigkAAAAl/CHTas1MbPY\ndAy/mVZYoSHPoOkYCBMUEgAAgEuIiYpTWeEs0zH8qvu0W7WHakzHQBigkAAAAFxCVGSMHPbQv6D9\nbItmf0d7KCTwAwoJAADARXxa94GccSmmY/hdUnyqEuOSTMdAGKCQAAAAXED/QJ+27v0oLJ4/AphC\nIQEAALiAusbtKi2YJZvNZjqKERGOSG3ctcZ0DIQ4CgkAAMA3cHd3aNv+j3Xt9FtMRzFm3pU36WBz\nnbpOnzQdBSHMZlmWZToEAAD+5Ha7h5fr6+sNJkEg6+xp1am+Tk1MC4+HIV5I26kmtXc1qzRnjuko\nCGBFRUXDy0lJo7v2iBkSAAAAXFBK/Hg1dzaI32HDVyJMBwAAwCSXy2U6QsioqfnzLWJD4Zie7uvW\n29XbVHFVlfINPhAxUI7pSTWp3FUuuy34f5cdKMc01Jw98zxawX9WAQAAeNmv1qzSuKRMo2UkkKQ5\nM/Ta+8/rZPcJ01EQgpghAQAA+Jr8rCm6bua3TMcIGBVTq2RZloaGBk1HQQhihgQAAOAsm/esVd+Z\nXtMxAk5CrFNb6t7XkGfIdBSEGAoJAACApK7TJ/Vfr/9ILR1HdUP57abjBJzSApfsNocOHqszHQUh\nhkICAAAgyePxqPu0W0nxKXLGp5iOE5Am55bq3S2v6eCxfaajIIRQSAAAAP7iBte3dT2zIxdUmH2F\n7lzwgNpPHjMdBSGEQgIAACBpz6GtIXFbW19y2B2KjoxVS8cR01EQQviuAwAAYe+1D55XXeM2zS1b\naDpKwHPGpyrCEaXqPet4WCK8gkICAADC2s6GaqUlZemB2/7ZdJSgEBkRqZvn3K3axm2q2b/BdByE\nAAoJAAAIW3sPf66PPv+jZk+tMh0lqNhsNv3trf+kts6jGhgcMB0HQY5CAgAAwpLHM6QNO97R393+\nJHfVGqNt+zfqF2//O88mwWWhkAAAgLDT3N6ozXvWKW/8JEU6okzHCVr/svw5Tc4t0/rtv1c/D5PE\nGFFIAABAWOk67dbbm19Rc/sh3TznbtlsNtORgpbDEaFrpi1ShCNS/7NmlSzL4kJ3jFqE6QAAAAD+\n0tx+SG9t+KUWzFiissJZpuOEhNjoeC2YcZuy0ibo5T/+m24ov12TckpNx0IQoZAAAICQ1z/Qp9+s\nf0kdXe26/+YfKSHWaTpSyJky4SqNT83Vbz/6uez2CGWlTVBMVKzpWAgCFBIAABDSjh1v1Ps1b2lO\n6Q0qyJqiyAiuGfGV5IQ0feua+7T9wCb9cfP/6rbK5UqIdSo9Oct0NAQwCgkAAAgpQ0OD6uhq14ad\n7+ho+yE5bHYtrXpQmal5pqOFhfTkLC2quFNlBS65ezq19rPfqH+gVyUTZ2jBjNsUFRFtOiICDIUE\nAAAEJY/lUf+ZXrV0NOl0X7dOnGrVya4Tauk8qtTEdFXNXKI053jTMcNWTnqBctILdEX+TLm7O7S/\naafe+viXaj7RqPLiecpNL5Td7lCac7wiHBGKiY6T3cb9lsKRzeJWCACAMON2u01HAICQlZSUNKrX\nU0MBAAAAGEMhAQAAAGAMH9kCAAAAYAwzJAAAAACMoZAAAAAAMIZCAgAAAMAYCgkAIKy8/PLLqqqq\nUnJysux2u44cOXLeazo7O7V8+XIlJycrOTlZ9957L7cKHqUFCxbIbref87Vs2TLTsYLOCy+8oIKC\nAsXGxsrlcmnTpk2mIwWtlStXnndOZmdnm44VVDZs2KAlS5YoNzdXdrtdq1evPu81K1euVE5OjuLi\n4lRVVaW6urpLjkshAQCEld7eXi1evFg//vGPL/iaZcuWaceOHXrvvff0pz/9Sdu3b9fy5cv9mDL4\n2Ww23X///WppaRn+eumll0zHCiqvv/66VqxYoSeeeEI7duxQZWWlbrrpJjU1NZmOFrRKSkrOOSd3\n795tOlJQ6enp0ZVXXqmf/exnio2Nlc1mO+fvf/rTn+qZZ57Rc889p61btyojI0MLFy5Ud3f3Rcfl\nLlsAgLBUU1OjiooKNTY2asKECcPr9+7dq9LSUn3yySeaO3euJOmTTz7RvHnztG/fPhUXF5uKHFSq\nqqpUVlamZ5991nSUoDV79mxNnz79nCJXXFyspUuX6umnnza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jh05D57QMiSKj+i7oCcmFCxdw33334dKlS4iLi0Pv3r2xfft2pKSkBDuUoImJ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\nVlrgnrB1scyBObZxbf1BIzmAS6EhAQAA8KFDR6u8asMyCwI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"text": [ - "" + "" ] } ], - "prompt_number": 3 + "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The plot labelled 'input' is the histogram of the original data. This is passed through the transfer function $f(x)=2x+1$ which is displayed in the chart to the upper right. The red lines shows how one value, $x=0$ is passed through the function. Each value from input is passed through in the same way to the output function on the left. The output looks like a Gaussian, and is in fact a Gaussian. We can see that it is altered -the variance in the output is larger than the variance in the input, and the mean has been shifted from 0 to 1, which is what we would expect given the transfer function $f(x)=2x+1$ The $2x$ affects the variance, and the $+1$ shifts the mean.\n", + "The plot labeled 'input' is the histogram of the original data. This is passed through the transfer function $f(x)=2x+1$ which is displayed in the chart to the upper right. The red lines shows how one value, $x=0$ is passed through the function. Each value from input is passed through in the same way to the output function on the left. The output looks like a Gaussian, and is in fact a Gaussian. We can see that it is altered -the variance in the output is larger than the variance in the input, and the mean has been shifted from 0 to 1, which is what we would expect given the transfer function $f(x)=2x+1$ The $2x$ affects the variance, and the $+1$ shifts the mean.\n", "\n", "Now let's look at a nonlinear function and see how it affects the probability distribution." ] @@ -422,19 +419,19 @@ { "metadata": {}, "output_type": "display_data", - "png": 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ghJRzGOE3CcZGpi1qw8rc5mHDIyIDxzxj+JztXLHsDx/g+IV9+PXUZlRU3dWq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\nrJaWZlXVlqu2oUaSJcv6/kOWDh7d3eYJxa4D36pXRB+dajkoWVJa8kh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pMxhVVVUwmUyd9qoSl8OFv1dX+Ht1Rb/wBy3lWr0GRWU3UVB2E4WlubhdWQCV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"text": [ - "" + "" ] } ], - "prompt_number": 4 + "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This result may be somewhat suprising to you. The transfer function looks \"fairly\" linear - it is pretty close to a straight line, but the probability distribution of the output is completely different from a Gaussian. Recall the equations for multiplying two univariate Gaussians:\n", + "This result may be somewhat surprising to you. The transfer function looks \"fairly\" linear - it is pretty close to a straight line, but the probability distribution of the output is completely different from a Gaussian. Recall the equations for multiplying two univariate Gaussians:\n", "$$\\begin{aligned}\n", "\\mu =\\frac{\\sigma_1^2 \\mu_2 + \\sigma_2^2 \\mu_1} {\\sigma_1^2 + \\sigma_2^2}\\mbox{, } \n", "\\sigma = \\frac{1}{\\frac{1}{\\sigma_1^2} + \\frac{1}{\\sigma_2^2}}\n", @@ -458,19 +455,19 @@ { "metadata": {}, "output_type": "display_data", - "png": 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TeV9NJSfArIZgKjmBhp9TJb+CsXDhQmzZsqXWkz6RnIJ9B1drKyzOx7aob1Bw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\n6ZJ+/vOfa968eXK73UpPT9fKlSt14MAB07H6eemllzRr1iy53W653W4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Or0W1qhwVihLklWYiuyQVheU5MBj1d7Stkup8bDv8H+w5/T2GR46HjyywpUO5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"text": [ - "" + "" ] } ], - "prompt_number": 5 + "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "As you can see the probability function is futher distorted from the original Gaussian. However, the graph is still somewhat symmetric around $0$, let's see what the mean is." + "As you can see the probability function is further distorted from the original Gaussian. However, the graph is still somewhat symmetric around $0$, let's see what the mean is." ] }, { @@ -487,12 +484,12 @@ "output_type": "stream", "stream": "stdout", "text": [ - "input mean, variance: 0.0002, 1.0015\n", - "output mean, variance: -0.0276, 2.2445\n" + "input mean, variance: -0.0001, 0.9995\n", + "output mean, variance: -0.0275, 2.2404\n" ] } ], - "prompt_number": 6 + "prompt_number": 7 }, { "cell_type": "markdown", @@ -517,20 +514,20 @@ { "metadata": {}, "output_type": "display_data", - "png": 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ISBQVFWHTpk0oKirCxx9/jODg4KZ9OGQ4mmv820WLFtWZo4DocW3atEmMiIgQ7ezsRHNz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\nNDhMKb1TldI7VYWlefrqm09UcCJPg5Ou1g1jbzWd5zcYMAAA6CF2HPx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xvfQKiiuvWx86g7bV+9boanD6ymHrNbIivhThylgIlYCvLAByiS+EfDE1Oggh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"text": [ - "" + "" ] }, { "output_type": "stream", "stream": "stdout", "text": [ - "output mean, variance: -0.0003, 2.2534\n" + "output mean, variance: 0.0001, 2.2489\n" ] } ], - "prompt_number": 7 + "prompt_number": 8 }, { "cell_type": "markdown", @@ -561,12 +558,12 @@ "output_type": "stream", "stream": "stdout", "text": [ - "linear output mean, variance: -0.0171, 7493.0617\n", - "nonlinear output mean, variance: -1.8226, 26276.2379\n" + "linear output mean, variance: 0.0057, 7478.2709\n", + "nonlinear output mean, variance: -1.8465, 26169.1410\n" ] } ], - "prompt_number": 8 + "prompt_number": 9 }, { "cell_type": "markdown", @@ -576,11 +573,10 @@ ] }, { - "cell_type": "heading", - "level": 2, + "cell_type": "markdown", "metadata": {}, "source": [ - "The Extended Kalman Filter" + "##The Extended Kalman Filter" ] }, { @@ -611,17 +607,17 @@ "output_type": "display_data", "png": 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YkAxo2igrAAAAt8lqrdbGAyv05Y73VW2tspszmcwaO/BBjR04hYfogdtEWQEA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\n3DQdStupw2m7lFd4sV7HtQ+LVd/Og9W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"text": [ - "" + "" ] } ], - "prompt_number": 9 + "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We want a linear appoximation of this function so that we can use it in the Kalman filter. We will see how it is used in the Kalman filter in the next section, so don't worry about that yet. We can see that there is no single linear function (line) that gives a close approximation of this function. However, during each innovation (update) of the Kalman filter we know its current state, so if we linearize the function at that value we will have a close approximation. For example, suppose our current state is $x=1.5$. What would be a good linearization for this function?\n", + "We want a linear approximation of this function so that we can use it in the Kalman filter. We will see how it is used in the Kalman filter in the next section, so don't worry about that yet. We can see that there is no single linear function (line) that gives a close approximation of this function. However, during each innovation (update) of the Kalman filter we know its current state, so if we linearize the function at that value we will have a close approximation. For example, suppose our current state is $x=1.5$. What would be a good linearization for this function?\n", "\n", "We can use any linear function that passes through the curve at (1.5,-0.75). For example, consider using f(x)=8x\u221212.75 as the linearization, as in the plot below." ] @@ -646,11 +642,11 @@ "output_type": "display_data", "png": 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wZlWAoWQYhipqS1S0/yMVFX80qFO8bLYgTcrOV37e2Zo6do7CQsKHoFOcCsIK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\nhBXgNLkMlzocbWptb1JLR5Na2pvU2t6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"text": [ - "" + "" ] } ], - "prompt_number": 10 + "prompt_number": 11 }, { "cell_type": "markdown", @@ -687,11 +683,11 @@ "output_type": "display_data", "png": 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IPdsdOnRIL730kmpqauTxePT888/r4YcfVktLiyorK+/ZrrGxMRbDBpbwTGEr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\nIdW+/H5mWgAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], - "prompt_number": 11 + "prompt_number": 12 }, { "cell_type": "markdown", @@ -723,15 +719,14 @@ "\n", "In the next chapter we will spend a lot of time on a new development, the unscented Kalman filter(UKF) which avoids many of these problems. I think that as it becomes better known it will supplant the EKF in most applications, though that is still an open question. Certainly research has shown that the UKF performs at least as well as, and often much better than the EKF. \n", "\n", - "I think the easiest way to understand the EKF is to just start off with an example. Perhaps the reason for some of my mathmatical choices will not be clear, but trust that the end result will be an EKF." + "I think the easiest way to understand the EKF is to just start off with an example. Perhaps the reason for some of my mathematical choices will not be clear, but trust that the end result will be an EKF." ] }, { - "cell_type": "heading", - "level": 2, + "cell_type": "markdown", "metadata": {}, "source": [ - "Example: Tracking a Flying Airplane" + "##Example: Tracking a Flying Airplane" ] }, { @@ -758,11 +753,11 @@ "output_type": "display_data", "png": 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YAaVKhV2VJEmSSjCD/5Hyww/wyiuwcCEce2wwsl+tWthVSZIkKSIM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\nQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 12 + "prompt_number": 13 }, { "cell_type": "markdown", @@ -818,7 +813,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Design the System Model\n", + "### Design the System Model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ "We will model this as a set of differential equations. So we need an equation in the form \n", "$$\\dot{\\mathbf{x}} = \\mathbf{Ax} + \\mathbf{w}$$\n", "\n", @@ -868,16 +869,21 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "$\\Phi$ is our system matrix. We cannot use greek symbols in Python, so the code uses the symbol `F` for $\\Phi$. This is admittedly confusing. In the math above $\\mathbf{F}$ represents the system of partial differential equations, and $\\Phi$ is the system matrix. In the Python the partial differential equations are not represented in the code, and the system matrix is `F`." + "$\\Phi$ is our system matrix. We cannot use Greek symbols in Python, so the code uses the symbol `F` for $\\Phi$. This is admittedly confusing. In the math above $\\mathbf{F}$ represents the system of partial differential equations, and $\\Phi$ is the system matrix. In the Python the partial differential equations are not represented in the code, and the system matrix is `F`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Design the Measurement Model\n", - "\n", - "The measurement function for our filter needs to take the filter state $\\mathbf{x}$ and turn it into a slant range distance. This is nothing more than the pythagorean theorem.\n", + "### Design the Measurement Model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The measurement function for our filter needs to take the filter state $\\mathbf{x}$ and turn it into a slant range distance. This is nothing more than the Pythagorean theorem.\n", "\n", "$$h(\\mathbf{x}) = \\sqrt{x_{pos}^2 + x_{alt}^2}$$\n", "\n", @@ -955,7 +961,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 13 + "prompt_number": 14 }, { "cell_type": "markdown", @@ -978,7 +984,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 14 + "prompt_number": 15 }, { "cell_type": "markdown", @@ -1015,7 +1021,7 @@ " self.alt = self.alt + .1*randn()\n", " self.pos = self.pos + self.vel*self.dt\n", " \n", - " # add measurment noise\n", + " # add measurement noise\n", " err = self.pos * 0.05*randn()\n", " slant_dist = math.sqrt(self.pos**2 + self.alt**2)\n", " \n", @@ -1024,7 +1030,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 15 + "prompt_number": 16 }, { "cell_type": "markdown", @@ -1052,7 +1058,7 @@ " [0, 0, 0],\n", " [0, 0, 0]])*dt\n", " \n", - "After assigning reasonble values to $\\mathbf{R}$, $\\mathbf{Q}$, and $\\mathbf{P}$ we can run the filter with a simple loop\n", + "After assigning reasonable values to $\\mathbf{R}$, $\\mathbf{Q}$, and $\\mathbf{P}$ we can run the filter with a simple loop\n", "\n", " for i in range(int(20/dt)):\n", " z = radar.get_range()\n", @@ -1140,36 +1146,35 @@ { "metadata": {}, "output_type": "display_data", - "png": 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VInIr7A5EFy5coKioiP3793PhwgUMBgMhISGkpqaSk5NDSEiII+sUERER6RQ1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\nALBu3TqMHTsWFy5cgL+/P1JSUpCTk4P8/Hy4u7sDAN59910sXrwYq1a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PMBnJI8lIGoG3h5+DOhUR+W8KRCIiIvKTGIbBqQvHWbpmEbsP5HGjrpSw6M5E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\niIiI8jm4m6RAJCIiIiJyl+vevbvDzyaTie3bt193va5du1KjRg0yMzO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0Z84cvfTSSzp8+LBiY2P15JNPavz48bb3KC8v12OPPaZPP/1UpaWlSk5O1jvv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UzZs3T5K0YMECvfDCC8rJyVF8fLyefPJJ3X777Y5jVFVV6bHHHtMHH3yg06dP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kq8l7IrbO62shBAEAAAApIOExQXfffbf+8pe/9Lj9r3/9q+6+++5eqVR/cPqz\nghgXBAAAAKSGhEPQ8uXL9d577/W4fe/evSnVWnT6NNnMEAcAAACkhl6bIvvEiRNyOp29dbik41lB\nAAAAQGo645igV155Ra+88kpsRrg1a9bo3Xff7VLuxIkTWr16tcrKyhL+4E2bNunhhx/Wa6+9poMH\nD+qpp57SnXfeKUkKhUL6l3/5F61bt07vvfeecnJyNHHiRD344IMaMmRI7Bh+v1/f/OY3tXr1arW1\ntenWW2/V448/rssuuyxWprGxUd/4xje0du1aSdL06dP1X//1X8rNzT1j/bqbIQ4AAADApe+MIeil\nl17S97///djymjVrtGbNmm7Ljhw5Uo8++mjCH+z1ejVq1CjdeeedqqmpiZt+2uv16m9/+5u+/e1v\n69prr9XJkyd17733qqqqSm+88YasVqskacGCBXr22We1evVq5efna+HChZo6daq2b98uiyXayDV7\n9mzV19dr/fr1Mk1TX/7yl1VdXa1nn332jPU7/VlBdIcDAAAAUsMZQ9C3vvUtff3rX5ckeTwePfHE\nE/rc5z4XV8YwDGVmZsrlOreZ06ZMmaIpU6ZIkubOnRu3LTc3Vxs2bIhb9+STT2rkyJHatWuXRo4c\nqaamJi1btkzLly/XrbfeKklauXKlhg4dqhdeeEGVlZXauXOn1q9fry1btujGG2+MHWf8+PHavXv3\nGR/u2qUlqI0QBAAAAKSCM4Ygl8sVCzd79+6Vx+NRZmbmRanY6ZqamiRJAwYMkCRt375dwWBQlZWV\nsTIlJSUqLS1VXV2dKisrVVdXJ7fbrbFjx8bKVFRUKCsrS3V1dWcMQZmnT4zgb+nN0wEAAACQJAk/\nJ+iKK67ow2qcWSAQ0L333qvp06dr8ODBkqSGhgZZrVYVFBTElS0qKlJDQ0OsTGFhYdx2wzDk8Xhi\nZbqzbds2HTp+OG7dgYYPtW3btt44HaDf4JpGOuF6Rzrhekc6GDZs2Hnv22MImjhxogzD0IYNG2Sz\n2WLLPTFNU4Zh6MUXXzzvynQnFAppzpw5am5u1nPPPXfW8h2TOFwopz2+e58/2NorxwUAAACQXD2G\noNPDhGmavRYwEhUKhTRr1iy9/fbbevnll2Nd4SSpuLhY4XBYx48fj2sNOnz4sCZMmBArc/To0bhj\nmqapI0eOqLi4uMfPHTNmjI41lWj9mz+PrQuaPo0ZM6a3Tg1Iqo47hFzTSAdc70gnXO9IJx3DZc5H\njyHo5ZfNc/6kAAAgAElEQVRfPuNyXwsGg/rSl76kd955Ry+//LI8Hk/c9tGjR8tut2vDhg2aNWuW\nJKm+vl67du1SRUWFJGns2LFqaWlRXV1dbFxQXV2dvF5vrExPcrPiu9k1exsVDodktSbcgxAAAABA\nP5TwX/SbNm1SaWlplzE2HY4ePaqdO3fqH/7hHxI6ntfr1Z49eyRJkUhE+/bt044dO1RQUKDBgwfr\nC1/4grZt26a1a9fKNM3YGJ68vDxlZGQoNzdX8+bN06JFi+TxeGJTZJeVlWnSpEmSpNLSUlVVVam2\ntlZLly6VaZqqra3VtGnTztqH0G6zK9uVq1Nt0YRpylRza6MGZHd//gAAAAAuDZZEC95888363//9\n3x63b9y4URMnTkz4g7du3ary8nKVl5fL5/Np8eLFKi8v1+LFi1VfX69nn31Whw4d0ujRozV48ODY\n169+9avYMZYsWaLbb79dM2fO1Lhx45STk6O1a9fGjV1atWqVysrKNHnyZFVVVem6667TypUrE6pj\nbnZ8a1DjqeMJnx8AAACA/qnX+nYFAoEzTpxwuptvvlmRSKTH7Wfa1sHhcOjRRx8940Na8/LyEg49\nXfZ1D1T9kb2x5ZMtx87rOAAAAAD6jzOGoKamJjU1NcUmRDh27Jj279/fpdyJEyf0P//zP7rsssv6\nppZJMsA9MG6ZEAQAAABc+s4YgpYsWaLvfe97seUFCxZowYIFPZb/0Y9+1Hs16wfy3PHd4U7SHQ4A\nAAC45J0xBN12223KysqSJC1atEizZs3SddddF1fGMAxlZWXp+uuv1+jRo/uupkmQl316SxAhCAAA\nALjUnTEEVVRUxKaSbmlp0ec+9zldc801F6Vi/cHpLUGNdIcDAAAALnkJT4zw3e9+tw+r0T8NoCUI\nAAAASDk9hqAVK1ac02xvHWpqai6oQv1JblZ+3HKzt1HhSFhWizVJNQIAAABwoXoMQXfdddd5HTCV\nQpDd5pDblauWjgemmhE1e0/wwFQAAADgEtZjCNq7d29Pm9JKXnZBLARJ0S5xhCAAAADg0tVjCLri\niisuYjX6r9MfmNp46piuHJTECgEAAAC4IJZkV6C/6/rAVCZHAAAAAC5lCc8OJ0kNDQ367//+b23f\nvl3Nzc2KRCKxbaZpyjAMvfjii71eyWTq+sBUpskGAAAALmUJh6C33npLEyZMUGtrq4YPH64333xT\nI0eO1IkTJ3To0CFdddVVGjJkSF/WNSlOf2DqiVNHklQTAAAAAL0h4e5w9913nzIyMvTOO+9o48aN\nkqQlS5bowIEDevrpp3Xy5Ek9/PDDfVbRZPHkxQ8AOtx4IEk1AQAAANAbEg5Bf/rTn1RbW6srr7wy\n9vwg0zQlSbNmzdIXv/hFffOb3+ybWiaRZ8BlccvHTjYoHAknqTYAAAAALlTCISgQCOiyy6KBwOVy\nSZJOnjwZ237ttddq69atvVy95HM5s5STOSC2HI6EdLzpcBJrBAAAAOBCJByCLr/8cu3fv1+SlJmZ\nqeLiYr366qux7W+//bbcbnfv17Af8AwYHLd8hC5xAAAAwCUr4RB0yy236Jlnnoktz5kzR48++qjm\nzZunu+66S4899phmzJjRJ5VMtqIBJXHLjAsCAAAALl0Jzw63aNEi3XLLLfL5fMrIyND3v/99NTY2\n6te//rVsNptqampScmIEqeu4oMON9UmqCQAAAIALlXAIGjp0qIYOHRpbzsjI0M9+9jP97Gc/65OK\n9SdF+fEhiO5wAAAAwKUr4e5w6axrSxAhCAAAALhUEYISkJ9dKJvVHlv2tjXL29acxBoBAAAAOF+E\noARYLFYVdnlo6sEk1QYAAADAhSAEJej0GeIYFwQAAABcmghBCTp9XNCh4/uSVBMAAAAAF4IQlKDB\nA4fGLe8/8l6SagIAAADgQhCCEjS0aFjc8odH3lMkEk5SbQAAAACcL0JQgvJzPMrKyI4tB4I+psoG\nAAAALkGEoAQZhqHLT2sN2n94T5JqAwAAAOB8EYLOweVFH4tb3nf43STVBAAAAMD5IgSdg9ND0H5C\nEAAAAHDJIQSdg9MnRzhw7H0FQ8Ek1QYAAADA+SAEnYOcrAEa4B4YWw6HQzp47IPkVQgAAADAOSME\nnaPTu8S9f2hXkmoCAAAA4HwQgs7RlYM/Hrf89w9fT1JNAAAAAJwPQtA5GjHk2rjld+vfUjgcSlJt\nAAAAAJwrQtA5GjxwqLIz82LL/qBPHzT8PYk1AgAAAHAuCEHnyDAMjRhSFrdu1366xAEAAACXCkLQ\neRhxeXwI+jshCAAAALhkEILOw+khaN/hPWr1tySpNgAAAADOBSHoPOS5C1ScPyS2bJoR7fzgtSTW\nCAAAAECikhaCNm3apOnTp6ukpEQWi0UrVqyI275mzRpNnjxZHo9HFotFr7zySpdj+P1+zZ8/X4WF\nhXK73ZoxY4YOHDgQV6axsVHV1dXKy8tTXl6eampq1NTUdMH1H3nl6Ljl7X/ffMHHBAAAAND3khaC\nvF6vRo0apUceeUQul0uGYcRtb21t1bhx4/TjH/9Ykrpsl6QFCxZozZo1Wr16tTZv3qzm5mZNnTpV\nkUgkVmb27NnasWOH1q9fr3Xr1um1115TdXX1Bde/fPj4uOWd+/4mr+/UBR8XAAAAQN+yJeuDp0yZ\noilTpkiS5s6d22X7nDlzJEnHjh3rdv+mpiYtW7ZMy5cv16233ipJWrlypYYOHaoXXnhBlZWV2rlz\np9avX68tW7boxhtvlCQ9+eSTGj9+vHbv3q3hw4efd/1LCq+SZ8BlOtIYbXkKR0J6/d06VXyy8ryP\nCQAAAKDvXbJjgrZv365gMKjKyo9CR0lJiUpLS1VXVydJqqurk9vt1tixY2NlKioqlJWVFStzvgzD\n0OjTWoPoEgcAAAD0f0lrCbpQDQ0NslqtKigoiFtfVFSkhoaGWJnCwsK47YZhyOPxxMp0Z9u2bQnV\nwRkcELe8p/5NvbJlo7KcuQntDyRbotc6kAq43pFOuN6RDoYNG3be+16yLUE9MU3zon1WjqtABe5B\ncev2NPzton0+AAAAgHN3ybYEFRcXKxwO6/jx43GtQYcPH9aECRNiZY4ePRq3n2maOnLkiIqLi3s8\n9pgxYxKuh995XL988YnY8geNb+uuzyyQ1XrJfmuRBjruEJ7LtQ5cqrjekU643pFOLmTG50u2JWj0\n6NGy2+3asGFDbF19fb127dqliooKSdLYsWPV0tISN/6nrq5OXq83VuaC6zHiH+S0Z8SWm72Neuv9\nrb1ybAAAAAC9L2nNFV6vV3v27JEkRSIR7du3Tzt27FBBQYGGDBmixsZG7du3TydPnpQk7dmzRzk5\nORo0aJCKioqUm5urefPmadGiRfJ4PMrPz9fChQtVVlamSZMmSZJKS0tVVVWl2tpaLV26VKZpqra2\nVtOmTbugPoSdZThcGvPxm7XlzXWxdZvf+KPKPjb2DHsBAAAASJaktQRt3bpV5eXlKi8vl8/n0+LF\ni1VeXq7FixdLkn7/+9+rvLxct9xyiwzD0D/+4z+qvLxcTz75ZOwYS5Ys0e23366ZM2dq3LhxysnJ\n0dq1a+OeKbRq1SqVlZVp8uTJqqqq0nXXXaeVK1f26rmMu2Zy3PLuD9/Q+4f+3qufAQAAAKB3GObF\nnEmgH+vcpzA399xnd1vy6/u09+DO2PKwkmv09c9+v9uHvALJRp9xpBOud6QTrnekkwv5+/2SHRPU\n33z6ptlxy3vq39Tf97+epNoAAAAA6AkhqJcMH3KNRgwpi1v37Ks/V8SMJKlGAAAAALpDCOpFUyvm\nxC3XH9mrrTtfTk5lAAAAAHSLENSLhhYP07XD4qfeXvvqSvkDbUmqEQAAAIDTEYJ62YxP3Smb1R5b\nbvY2asPW3ySxRgAAAAA6IwT1soLcIk28bnrcuo2v/U4Hjn6QnAoBAAAAiEMI6gO3Xf955WQNiC1H\nImH9z8bHFImEk1grAAAAABIhqE9kOFz6ws21cev2H96jF7atSVKNAAAAAHQgBPWRso/dpLKPjY1b\n9/yf/0d76t9KUo0AAAAASISgPvWFm7+irIzs2LJpRrRi3X+o8dTRJNYKAAAASG+EoD6UkzVA1ZMX\nxK1r9jbqkV//Px1rakhSrQAAAID0RgjqY5+4YrQqr/9C3LoTp47qkV//Px0+UZ+kWgEAAADpixB0\nEUy56Uu69mPxD1Ft8p7QI7/5F6bOBgAAAC4yQtBFYLVYdeeUezXm4xPi1re0Nem/fvtt7T24K0k1\nAwAAANIPIegisVqsmlP5T6r45G1x61v9LXrsme/o9XfrklQzAAAAIL0Qgi4ii2HRzFu+pgnXTo1b\nHwwF9N/PP6T/77kHdbLleJJqBwAAAKQHQtBFZhiGPvsP8zTlxi912fbGe3/WQ08v0Nvvb0tCzQAA\nAID0QAhKAsMwNOWmL+kLN39FFiP+n8DrO6Unn/1X/erFn6rN701SDQEAAIDURQhKovFln9a9X3pY\nQ4uHd9n2pzfX6Ycr5+sv72xUJBJOQu0AAACA1EQISrIhnqv0f7/4oKZVVHdpFWryntDT//tf+uEv\nvqGX/vasvG3NSaolAAAAkDpsya4AohMm3Hb953T1ZZ/Q0xse1dGmQ3HbjzQe0DOblunZLT9X2dVj\nNXbkJA0bck2X0AQAAADg7AhB/chVg0v1rTlLtP4vv9KLf/u9wuFQ3PZwOKTXdm/Wa7s3a4B7oEZ9\n7CZ9/PJrNbR4uNyunCTVGgAAALi0EIL6GYfNqWmfqlbFNZX6459Xa9uuVxQxI13KNbYc0ys7ntMr\nO56TJOVnF6p0aLk+edX1Gj5klOw2x8WuOgAAAHBJIAT1UwU5RZpT+U+a9qlq/eWdF1X39v/qeNPh\nHsufOHVUW95ary1vrZfD5tSIy8v0yatu0LCSTyo/u1AWi/Ui1h4AAADovwhB/VxuVr4qr/+8Jo35\nrPZ8+Kb+svNFvf5unYKhQI/7BEJ+vbn3r3pz718lSVarTQNzi1WYN1gD3AOV687XZQOv0BXFw5VF\nNzoAAACkGULQJcJiWDTi8jKNuLxMvolf1e4P39DOfX/TvobdOnR8v8KRUI/7hsMhHT5Rr8Mn6rts\nG5hbrMuLPqb8nCLlZxcqP6dQhXmDVZBbxMQLAAAASEmEoEtQhsOlUVffqFFX3yhJCoYC2lP/pt7a\nu1Vvvr9VTS3HEz7WsaYGHWtq6LLe6XBpYE6RsjKylenKVlZGjnIy85TrzlduVr6yM/NktznlsDlk\nb/+yWR2yWW0yDKPXzvVsTNNUxIwoEonINKNf0eWwwpGIIma4/f1Hr1L0e2iz2hUI+WWaphx2pzKd\n2bLb7Gf8LFPmRQuHpmkqGA4oHA7JNE1lOFx0awQAAOgFhKAUYLc59IkrRusTV4zWF8xa1R99X2+9\nv1V/379DhxsPnNfzhfyBNh049sE572fIkN3mkGGxSKYpSTI7NsaW29fEXsxu18Xv08MxellO1gDl\nZ3uU5y5Qq79FTd4TslsdMgxDx5oa1Ob3akB2oTwDBqtowGXKzMhWm98rq8WmPHeBJKnV16JW/ym1\n+r0KhYIKhaNfwVBAbYFWRSJh5WTmyZ2ZK5vVLpvVJqvFLn+wTS2tTWppa9aptia1tDV16fbocmYp\n0+mWxWJVq79FMk1lZWTL4ciQ1bDKYrHKaom+2qx25bnzNSDbEw1PnUJcw6Ejslnssu7xy2FzymHP\nUCQSlj/okz/oUzDkl9Vilc3qkN1mj71KUpu/VZIptytP2Zm5ys7Mk9ViVSgclNOeEQtq4UhY1iSG\nNtM0FQwF5A/6ZLVao+drtcliWC5qUAcAAP2PYZpm3/w1eYlpamqKvc/NzU1iTXpfq69FR08e1LGm\nBjV5G3W08aA+OLxbh47t63bmOeB8WQyLsjPz5Au0yh/0yeXIVI47X05bhmw2u+zW9lZDm10Om1M2\nqz0WviwWa3sgc8ZebVZHewteSOFIWIYMZTgz5XJkKsOZJW9bs441HVJLW3M0fPpa1Or/6DUUDnap\no9VqkzsjR057hoz2QGQYhgy1vxoWyZAssnS7rE7lW/0tOtV6Ug6bU+7MXFktNplmRDLjg7qhTqHL\niF8XDAcVDPlls0a/P4GQX8FQQIZhyGJYZLFY414Ni0XW9lejt1slTTPWuhptWe14H33Vefx3cb43\nLM5rvx52aW1tlSRlZmb23mdJcddMx3VkUfR66VhnUeftna43wyLTjMSuXbPT72JDRvTf22KR1WKL\n3dwIhgMKBHwyLBbZrQ4FQ4HoDQurPdoi3/Fqc8re/vNmWCwyIxGZiv4bOmxOZTrdcmW45bQ7daq1\nSW3+FtltTjntGXLYM2KvGQ5XtKwzS5kZbtmtjui5qfN5dPw8WLpZbv8+SGr1e+X1nZLTnqFsV66s\n1ug9WNM0FYmEY8sXyjRNhcJB+QJt8gfb5A+0yR/0yW5zRHs2ZGS3/+yn7o2Qbdu2SZLGjBmT5JoA\nfe9C/n4nBLVL5RDUk0DQrw+PvKcjJw+qsfmoTpw6ouNNh3Xw+D61+b3Jrh4AIEXZrHZZLFYFg36Z\nMmW12pRhdynDkSmnw6UMu0sWq1WRcPQmSCgSigbGtlNyZ+ZqYG6xTDMif9CnQNAfDTztLdmR9m7P\nPbFabMrMcCszw60sZ3uXb2f7cka2rFa7giG/Au0hs+O9P9AWDVeBNgXDAeW6C5SXla9QJCSZkjsz\nVw6bU4GgT4GQT4FgQDLUfvPH3t7yH+02Hu1CHl0XMSM61XpSgaBPkiGnPUO57nxlOt2yWe0KhoMK\nBNtktzmV4XApGAq0hzyfTDMitytXmRnuWCj/++6/y5ChESNGqOOuSzTzRd9bDCOulT/aG8EmU6YC\nwehNmGA4EP0+ObPkcmZd1O7Ypmmq1d8S66re0Rsj0X1NMyJTit3I6X5dRJHYTZ+wgqGAbFZbbLKo\nQNDf/u/oVyQSkWR2ugcUfRO9qWGRxWLpEu5x8RCCekE6hqCemKapky3HdKq1SV7fKbX6TqmlrVlN\n3kY1e0+oqeVEtKtWexevjl+YwVDgrP/59AXDsETvlHfcZbVYZDU+6hbWuYuY1WJVxIzIF2hTJByS\n3e6UJAWDfrW0NfdZN7vzZbXYZGvvhuYPtCW5NgCAdOV0uORyZMrVHoyyXblyObNi43IjZlhOu0sF\nuUWyWmzyBbxq87fKF2hVm98rX6BNgaBPoXBQNpsj1poeDodktdpks9hksVrVeOpYXDd+w7DEnn3Y\nuaW9Y5xuRwt2f/j/22b9aFyxIUMOR4Yy7C6FIqFYV/jcrHw5HBkyZMgXaJMhKTMjW1muaEtlVka2\nMtu/r6FwSFkZbrmcbvkCXnl9LWr1nZI/4FPE/Gi8c8SMfPS+fTliRpTnHqjCvEHKcxco05kV13ug\n+z//T19nKMPhksPuVDAUVKj9b71AyK9A0C+rxaZcd340rIc6tvnUeOpYtJeEPUNZ7eeU4XApFA4q\nEArEhgiE4v6ODLb/LRYdFhAKBxXu1BMkHAkpEom0v4aV4cjU//3ig4Sg3kAI6h3hSPSOSsdl1XH3\nJnYPJ7Yc6xPUabnzHavOZc58jN7q1hAKB3Wy5bhONB9Vk/e4XI4s5WUXKBKJKBgKKD+nUFmuHB1v\nOqwjjQd0pPGgAiGfXE63giG/TrackMWwxO4wZjrdne722WSzOuRyZsowDDW1nFCb36tQOBS9yxkO\nym5zyu3KUXZmrtyuXLldOcpwZMbOLxwJq83vVauvRREzrExntiRTXt8pBUOBuMkfIpGwAiGfjjcf\nUbP3RMc3ToYMRcyI6g9+qFA4oOycLPlD0TteVotNDrtTTrtLDptDETMS+8UUan81zYhczizJlE61\nNelU60m1tDZFxxpZrO13MvsPq9Ump90V/b6Eo9/n/vAfJQCg/8jLKtD/uWmOXM4sZsbtByJmRG1+\nr57/8y900tv9ZF+ZGdl6sHblBf39TrsdepXVYpXV4Up2Nc6LzWrXwNxiDcwtPmO5QQWXa1DB5Rf0\nWSWFV53zPlaLVW5XjtynPdspJ2vAOR+rr/qMB4J+nWo7qQxHdNxOS9sptbSd/OguT/sdn1D7OJhA\nKNrlwml3KmJGol0QQn4FO15DgfYWPFunVryOu4qtctgz5MkbrFx3gbIy3Mpsv4Pmcka7tdhtXbtR\n+IM+tbQ1KRQKKmKainZz6Bj30rH8UXeJnpdNOR0u5WTmKRgK6FRbk0zTjBtfJHW+2/bRJB+d19ms\n0fFRoXBIwXBADptTdptTkvnRHb3Ya8eMh5HYWJ3e1tGiamkfcxQdn2KJje3odDsiYRdz/EV3n/XO\nO+9Ikj7xiU+cac/z+DSzS9eaaLcbM74bTvtd6tPHWUlSVoZbblduXFcj04xEZ7fsdBc0EgnJZnXI\n6ciITfrRMfYnevOpvRtTKPqz1XHH1TQj7a3l0RtNgaBPrX6v2vwt8gd9sbu0oXBI/mBbe9cyn/zB\nNvkCre3j67xq83sVjkRnqpRpKtLp3LsuSxFFYmU7flayXNnyB6I/f/H/Zpa4MVEXymqxtXepy5DT\n4ZLT7lIg5Fer71TsphHQIS+rQHdVfUtXXDYspceKXWpM05Qn7zI9te6hboPQmR4NkyhCEIBe47A7\nVWAvii3nZOUpJysviTXqytk+8Lu3Famk14+J3nF4f6MkaYjn6iTXBJLau/kEFQ6H5bA7ZTEsCoY/\nGnMT/WqVaUbauzJHb4JEJzZwq/HUMZ1sORYNhXanHHaXnPaOiR1cZ3zUgaT2QNQSC0WtvhZ5fafa\nuxo1KxyJtN+McMRe7TaHMhzRMUsZDpcMw6ITzUfk9Z2S3eZQJBLRqbam9lkynXLYMuSwO2MTNXSe\nJTQUDikU7rgZFJ28JTszTy5nZvt4GK+avSfaxx4FZbfa5bBnKBD0yRdsk8MWbbF3OlwyJDW3npQ/\n0BbrGtZ86pQkU+7s7OgJm+3t3+3BO2JGFG6/6dIxg2nH4yPs9vZztjoUCgfV5veqLRDt0nYxdUyi\n4w/5FA6f2x+73U1Y0nVd9KaOYVg0Y9zdBKB+yDAMXXHZMP2fm+bo6Y2PdNkeCV/48AtCEAAAuGgs\nhkUOmzPuLxCHLTorZHbm2W+auJxZGjxw6Hl/vsPmlMPtjD3W4HxdXvSxC9q/r/RFS38kEpYv0Ka2\nQLRV0NsWHSvsD7bJYkRnMrQYFnl9p3S86bAktc/kmdU+hihTGY5MOewZsllt0a7JpimXM0s2qz3a\n4tneZTkzI1sFOZ64xy0EQ4FoW21cS7sRNwOh2mfUPFc+n48A1E8ZhqFhJddo/ud+IIthldUavSFi\ntVhltZ75ZkciCEEAAADokcVijY13vdgu5W72uHCZGW7l513TJ8dm9BcAAACAtEIIAgAAAJBWCEEA\nAAAA+sTLL78si8WiX/3qV8muShxCEAAAAJBCLBZLQl8rVqxIdlWThokRAAAAgBTyi1/8Im75ySef\n1J///Gc99dRTcesrKiouZrX6laS1BG3atEnTp09XSUlJj0n0u9/9ri677DJlZmZq4sSJsQfedfD7\n/Zo/f74KCwvldrs1Y8YMHThwIK5MY2OjqqurlZeXp7y8PNXU1MQ9XRYAAABIJbNnz477uvLKK2Wx\nWLqsv+KKK+L283q9yalwEiQtBHm9Xo0aNUqPPPKIXC5XlznaH3roIf34xz/WT37yE23dulUej0e3\n3XabWlpaYmUWLFigNWvWaPXq1dq8ebOam5s1depURSIfPXl69uzZ2rFjh9avX69169bptddeU3V1\n9UU7TwAAAKC/mTt3rlwul/bt26fp06crNzdXU6dOlSS98cYbuuuuu3T11VfL5XKpsLBQs2bN0ocf\nftjlOE1NTfrnf/5nXXXVVcrIyFBJSYnuuOMOHTx4sMfPDgaD+sIXviC3262NGzf22TmeSdK6w02Z\nMkVTpkyRFP1H6Mw0TS1ZskT33Xefbr/9dknSihUr5PF4tGrVKn3lK19RU1OTli1bpuXLl+vWW2+V\nJK1cuVJDhw7VCy+8oMrKSu3cuVPr16/Xli1bdOONN0qKNgeOHz9eu3fv1vDhwy/eCfeRSCSiYDCo\nYDCoQCDQ5bW7dadvM01TDocj9mW1Wj96yrJhyGazdfmy2+1x+zgcjtg6u90ui6Xv83UoFFJbW5tM\n05TZ/iTsjvedv3pafy5fpx+js44Af/rrmbadS5lEyvr9frW0tCgcDsfVs/O/ded/8/fee0+S9MEH\nH8jv9+vUqVM6deqUWlpaFAwGFYlEFIlEFA6Hu7x2fIVCoS7vT/9+dX7tfK0Gg0GFQqG496ZpymL5\n6AnfHe87rzNNU4FAQH6/P3Y+nd+bptlln7Mtn21bx/Xe02vHV+dlm80mq9Xa5bXjZ6vz99MwjNg2\nqzX60MHOy92t6/xz2Pn1bHU9lzI8PPDiCIVC8vv98vl8CgQCsZ+9SCQi0zTjliXFXaunL3es6/xz\nZbFY5HK5Yj87FotFTqcz9nu742fI5/PJ7/fL7/fLNE1lZGQoIyMjtm/n7eH2J7V393vyYguHw7Hf\nX83NzbHXYDAY93PT8b67dT393HV3jol+dfz7Xex9/X6/3n//fUUiEXk8ntjvi9Ovl87vz7St433n\n1+7W9dbr2cp0/E3S+Xfv6b+He/rd2917i8WikpISZWRknO8leMmLRCKqrKzUjTfeqIcfflg2WzQa\nvPDCC9q9e7fmzp2rwYMH691339VPf/pT/fWvf9Vbb70llyv67Cav16sJEybo7bff1l133aUxY8bo\n2LFj+uMf/6j33ntPgwcP7vKZfv//396dB0Vx5XEA//aAwxyMeIQBAblcJSomKuJFIqiImDWiJVHR\nJGtWRY1RlFJKLTdCPOKZeG90KyaoRdSo2ezhJhhlFwlYQS2PaIwaMQR3maAiCJnhmt4/rJmageE+\nGp3vp2qKmdevu3899LzpX7/uN2WIjo7G2bNn8fXXXyMkJKTW+EpLS5GTk2M+vjQ95HI5Onbs2Kxt\nb5B2yTUAABr8SURBVJf3BOXk5ECn0yEiIsJcplAoMGLECGRmZiI2NhYXLlxARUWFVR0vLy/07t0b\nWVlZiIiIQFZWFpydnTFs2DBzneHDh0OtViMrK6vWJGjBggWorKy06lEyMTUy1b80TF9e1Q8W6yqz\nPOirfqOaZVllZWWtyUxlZWULvvMtp3pDY/pbF1NDV9sXQfX3hJc1ErUey4PD5iaTpgMX08G35V+N\nRgO1Wo2ysjKUlpaitLTU/AvuDU1k64uluLgYRqMRarUaDg4O5gN8JycnAKiRcJiel5WVobi4GEVF\nReYDa6DmAaLlSQNBEKwSCJlMZv6usPXXlFAQkTT+9a9/ITIyssH1W/MEkRQnEyoqKvDqq69iy5Yt\nVuXz589HfHy8VdmECRMQEhKCEydOYMaMGQCAzZs348qVK/j8888xefJkc92VK1faXN9vv/2GqKgo\nXLx4EadOnUJwcHCd8WVnZ5s7TSxpNBoUFxc3aBtr0y6ToPz8fACAm5ubVblWqzV3reXn58PBwQFd\nu3a1quPm5maePz8/H66urlbTBUGAVqs117Flz549zd6GttSYs70ODg41zlwDMJ+VNyVzlmf2LM/+\nmx62zuRbPjfVKy8vb7XtNh1sWB6QmMqrn+GqXl5bvbrKqj+3VL3Xo7ay+uo0tW6HDh2gVCrNZ3BM\nMdrqqTD1RpjI5XKoVCoolUqoVCpzT57pQNJU3/JvbWdR6zu7Z9mbaNmjYZq3rjOjlvHWdgbQtAwA\nNfbjul7Xtd7qvV2Wfy0flmXVT3hYvjad/LDcZsuz/ZYnTmorqy0ey1htxWSr966u5fAAvfUJgmBO\nCC0/C5bJnOkvAKt9uLZeasvPmSmZA558dkw9suXl5aisrDQnp5Y9+YIgWPUQyWQyqx7/6m2Irfa2\nrQiCAJVKBbVaDbVabX7eoUOHGp8fURRtfrZq+4zZ2raGfG/UV6e+5ZiupGjsd5SpjVWpVHBwcLDa\nJsB636n+2tY0W38t1Vantu+xllim6X9Yvf2t3vbaOvlsNBrNJ7gt2zdTj4Y9e/vtt2uUWb4vJSUl\nKCsrQ8+ePdGpUydcvHjRnAQdO3YMgYGBVglQbYqLixEZGYkff/wRaWlpeOGFF+qdR6lUwtvbu8b/\nWaVS4fz58+jZs2cjttRau0yC6lJfI9sSWfSyZcvMB3a2mL4Iqn9xNHQ4QssDTFtd4JaXPhiNRvPB\nYm1JjRRfPHUxNVK2DgJri9Wygav+JWD5XpneI0EQ4OzsXG/vEhE1nuVnuLGX8Zjmr/7adFLE8pLI\n8vJy6PV6/Pbbb5DL5VAqlTZ7aEzLaOpry8TTlASYevBNbZKtnqQOHTpArVbD2dnZfGBt6yDSsl03\nXS1gSiKMRqPV5WfVH+2xDSeyJz4+Po2qL0VvTWuSyWTwrTY4AvBkYLHly5fj2LFjKCwstJpmeSXO\nTz/9ZL51pT7x8fHQ6/W4ePEi+vXr16B5+vTpg+PHjzeobmO1yyTI3d0dAKDT6eDl5WUu1+l05mnu\n7u6oqqrCgwcPrHqDdDodQkNDzXUKCgqsli2KIn799VfzcmzZtGlTi20LUXt0/vx5AMCgQYMkjoSo\n9XF/J3vC/b1xDAaD1CFISi6X2zzpP2XKFGRmZmLp0qUYMGAANBoNAGDatGlWV2c05iTOxIkTcfjw\nYaxbtw4pKSkNun9co9HUuS8359aIdvljqX5+fnB3d0dqaqq5zGAwICMjwzyeeVBQEDp06GBVJy8v\nDzdu3DDXGTZsGEpKSpCVlWWuk5WVhdLSUrseF52IiIiIyFbPVmFhIU6fPo3ly5cjKSkJEydOxOjR\noxESEoKHDx9a1e3RoweuXr3aoHWNHz8eBw4cwLFjxzBnzpwWib85JOsJKi0txa1btwA8ueTh559/\nxqVLl9C1a1d0794dixcvxvr16/H888+jZ8+eWLt2LTQaDaZPnw4AcHFxwaxZs5CQkACtVosuXbog\nPj4eL774IsLDwwEAvXv3RmRkJObOnYt9+/ZBFEXMnTsXr776arOuISQiIiIieprY6rWxVWa61aD6\nAGEffvhhjaQpOjoaSUlJOHbsGKKjo+uNYdq0aSgtLcWcOXPg7OyM7du3N2YTWpRkSVB2djZGjRoF\n4Mk/YPXq1Vi9ejVmzpyJ/fv3IyEhAXq9HgsWLEBhYSGGDh2K1NRUqNVq8zK2bdsGR0dHTJ06FXq9\nHuHh4Th06JDVPzQlJQULFy7E2LFjAQBRUVHYtWtX224sEREREZGE6hqMwlLHjh0RFhaGTZs2oby8\nHN7e3sjIyEB6ejq6du1qNc+yZctw/PhxxMTEIDU1FQMHDsSjR4/w1Vdf4b333sOIESNqLH/WrFko\nKSnBkiVL4OzsjHXr1rXshjaQZElQWFiYzSGoLZkSo9rI5XLs2LEDO3bsqLVOp06dcPDgwSbHSURE\nRET0NLM1gmNdozqmpKQgLi4Oe/fuRUVFBUJDQ3HmzBmEh4dbzaNSqZCeno7ExEScOHECycnJcHNz\nQ2hoqNVP0VRfT1xcHB4/fox3330XGo0Gy5cvb8GtbRhBfNaGuWgiyxurXFxcJIyEqPXxxlmyJ9zf\nyZ5wf28cg8Fg1z+W2t7V9/9pzvF7uxwYgYiIiIiIqLUwCSIiIiIiIrvCJIiIiIiIiOwKkyAiIiIi\nIrIrTIKIiIiIiMiuMAkiIiIiIiK7wiSIiIiIiIjsCpMgIiIiIiKyK0yCiIiIiIjIrjAJIiIiIiIi\nu8IkiIiIiIiI7AqTICIiIiIisitMgoiIiIiI7MTdu3chk8mQnJxsLvv0008hk8mQm5srYWRti0kQ\nEREREdEzxJTU2HosXLgQgiBAEIQ6l5GSkoLt27e3UcRtz1HqAIiIiIiIqOUlJSWhR48eVmUBAQE4\nfvw4HB3rTgNSUlJw7do1xMXFtWaIkmESRERERET0DBo7diwGDx7c5Pnr6y1qCr1eD6VS2eLLbSxe\nDkdEREREZCds3RNUXVhYGE6ePGmua3qYiKKInTt3ol+/flAqlXBzc8Ps2bPx4MEDq+X4+vpi3Lhx\nOH36NIYMGQKlUolNmza12rY1BnuCiIiIiIgaYNH2ia227B1xf23xZT569Aj379+3Oa2uXp5Vq1Yh\nISEBeXl52LZtW43p8+fPx/79+zFz5kwsWrQIubm52LlzJ7777jtkZ2fDycnJvI7bt2/jtddeQ2xs\nLObMmQNvb++W2bhmYhJERERERPQMioyMtHotCAKuXLlS73zh4eHw8PDAo0ePMH36dKtpmZmZ2Ldv\nHw4ePIgZM2ZYrevll1/GgQMHMGfOHABPeox++ukn/O1vf8P48eNbYItaDpMgIiIiIqJn0M6dO9G7\nd2+rMoVC0axlHj16FM7OzoiIiLDqZQoICIBWq0VaWpo5CQKA7t27t7sECGASRERERET0TAoODq4x\nMMLdu3ebtcybN2+ipKQEbm5uNqcXFBRYvfb392/W+loLkyAiIiIiogZojft2njZGoxFdu3bFkSNH\nbE7v3Lmz1ev2MBKcLUyCiIiIiIjISm0DJ/To0QPffPMNhgwZArVa3cZRtRwOkU1ERERERFbUajUK\nCwtrlE+bNg1GoxHvvfdejWlVVVV49OhRW4TXbOwJIiIiIiIiK8HBwTh69CgWL16MwYMHQyaTYdq0\naXj55ZexYMECbN68GVeuXEFERAScnJxw+/ZtHD9+HGvWrMGbb74pdfj1YhJERERERPSMqet3gBpS\n/+2338bVq1dx6NAh7Ny5E8CTXiDgyahzAwcOxEcffYRVq1bB0dERPj4+mDp1KkaNGtXkGNqSIIqi\nKHUQ7UFRUZH5uYuLi4SRELW+8+fPAwAGDRokcSRErY/7O9kT7u+NYzAYmj1kNLWe+v4/zTl+5z1B\nRERERERkV5gEERERERGRXWESREREREREdoVJEBERERER2RUmQUREREREZFeYBBERERERkV1hEkRE\nREREdou/FtM+tfb/hUkQEREREdkluVwOg8HARKidEUURBoMBcrm81dbh2GpLJiIiIiJqx2QyGZyc\nnFBWViZ1KFSNk5MTZLLW669hEkREREREdksmk0GhUEgdBrUxXg5HRERERER2hUkQERERERHZlXad\nBD1+/BiLFy+Gr68vVCoVQkJCcP78eas6iYmJ8PT0hEqlwsiRI3H9+nWr6WVlZVi4cCFcXV3h7OyM\nqKgo3Lt3ry03g4iIiIiI2pF2nQTNnj0bp06dwoEDB/D9998jIiIC4eHh+O9//wsA2LhxIz744APs\n2rUL2dnZ0Gq1GDNmDEpKSszLWLx4MU6cOIHDhw/j7NmzKC4uxvjx42E0GqXaLCIiIiIiklC7TYL0\nej1OnDiBDRs2YMSIEfD398fq1avxu9/9Dn/+858BANu2bcOKFSswadIk9O3bF8nJyXj8+DFSUlIA\nAEVFRdi/fz+2bNmC0aNHY8CAATh48CCuXLmCb775RsrNIyIiIiIiibTbJKiyshJVVVVwcnKyKlco\nFPj222+Rk5MDnU6HiIgIq2kjRoxAZmYmAODChQuoqKiwquPl5YXevXub6xARERERkX1pt0NkazQa\nDBs2DGvXrkVgYCDc3Nzw2Wef4dy5c+jZsyfy8/MBAG5ublbzabVa8+Vy+fn5cHBwQNeuXa3quLm5\nQafT1bruoqKiFt4aovalZ8+eALivk33g/k72hPs7UcO0254gADh48CBkMhm8vLygUCiwa9cuxMTE\nQBCEOuerbzoREREREdmvdp0E+fv749///jdKS0uRl5eHc+fOoby8HD169IC7uzsA1OjR0el05mnu\n7u6oqqrCgwcPrOrk5+eb6xARERERkX1pt5fDWVIqlVAqlSgsLERqaio2b94MPz8/uLu7IzU1FUFB\nQQAAg8GAjIwMbNmyBQAQFBSEDh06IDU1FTExMQCAvLw83LhxA8OHD7dah4uLS9tuFBERERERScIh\nMTExUeogapOamoqbN2/C0dER58+fx4wZM+Dh4YEdO3ZAJpOhqqoKGzZsQEBAAKqqqhAfHw+dTod9\n+/ZBLpdDoVDgf//7H3bv3o0XX3wRRUVFmDdvHjp16oSNGzfysjkiIiIiIjvUrnuCioqKsGLFCuTl\n5aFLly6Ijo7GunXr4ODgAABISEiAXq/HggULUFhYiKFDhyI1NRVqtdq8jG3btsHR0RFTp06FXq9H\neHg4Dh06xASIiIiIiMhOCaIoilIHQURERERE1Fba9cAIbWnPnj3w8/ODUqnEoEGDkJGRIXVIRC0u\nMTERMpnM6uHh4SF1WETNlp6ejgkTJsDLywsymQzJyck16iQmJsLT0xMqlQojR47E9evXJYiUqPnq\n299nzpxZo62vfi800dPi/fffR3BwMFxcXKDVajFhwgRcu3atRr3GtvFMggAcOXIEixcvxqpVq3Dp\n0iUMHz4c48aNwy+//CJ1aEQt7vnnn0d+fr75cfXqValDImq20tJSvPDCC9i+fTuUSmWNS543btyI\nDz74ALt27UJ2dja0Wi3GjBmDkpISiSImarr69ndBEDBmzBirtv7kyZMSRUvUPP/5z3/wzjvvICsr\nC2fOnIGjoyPCw8NRWFhortOUNp6XwwEYMmQI+vfvj71795rLevXqhejoaKxfv17CyIhaVmJiIo4f\nP87Eh55pGo0Gu3fvxptvvgkAEEURHh4eWLRoEVasWAHgyWiiWq0WW7ZsQWxsrJThEjVL9f0deNIT\n9ODBA/z973+XMDKi1lFaWgoXFxd8+eWX+P3vf9/kNt7ue4LKy8tx8eJFREREWJVHREQgMzNToqiI\nWs+dO3fg6ekJf39/xMTEICcnR+qQiFpVTk4OdDqdVTuvUCgwYsQItvP0TBIEARkZGXBzc0NAQABi\nY2NRUFAgdVhELaK4uBhGoxGdO3cG0PQ23u6ToPv376Oqqgpubm5W5VqtFvn5+RJFRdQ6hg4diuTk\nZHz99df4y1/+gvz8fAwfPhwPHz6UOjSiVmNqy9nOk72IjIzEwYMHcebMGWzduhXfffcdRo0ahfLy\ncqlDI2q2uLg4DBgwAMOGDQPQ9Da+XQ+RTUQtKzIy0vw8MDAQw4YNg5+fH5KTk7FkyRIJIyOSBn8u\ngZ5FU6dONT/v27cvgoKC4OPjg3/+85+YNGmShJERNU98fDwyMzORkZHRoPa7rjp23xP03HPPwcHB\nATqdzqpcp9OhW7duEkVF1DZUKhX69u2L27dvSx0KUatxd3cHAJvtvGka0bOsW7du8PLyYltPT7Ul\nS5bgyJEjOHPmDHx9fc3lTW3j7T4JksvlCAoKQmpqqlX5qVOnOJwkPfMMBgN++OEHJvz0TPPz84O7\nu7tVO28wGJCRkcF2nuxCQUEB7t27x7aenlpxcXHmBKhXr15W05raxjskJiYmtlbAT4uOHTti9erV\n8PDwgFKpxNq1a5GRkYFPPvkELi4uUodH1GKWLl0KhUIBo9GImzdv4p133sGdO3ewd+9e7uv0VCst\nLcX169eRn5+Pjz/+GP369YOLiwsqKirg4uKCqqoqbNiwAQEBAaiqqkJ8fDx0Oh327dsHuVwudfhE\njVLX/u7o6IiVK1eiY8eOqKysxKVLlzB79mwYjUbs2rWL+zs9dRYsWIADBw7g888/h5eXF0pKSlBS\nUgJBECCXyyEIQtPaeJFEURTFPXv2iL6+vqKTk5M4aNAg8ezZs1KHRNTipk2bJnp4eIhyuVz09PQU\no6OjxR9++EHqsIiaLS0tTRQEQRQEQZTJZObnb731lrlOYmKi2K1bN1GhUIhhYWHitWvXJIyYqOnq\n2t/1er04duxYUavVinK5XPTx8RHfeustMS8vT+qwiZqk+n5ueiQlJVnVa2wbz98JIiIiIiIiu2L3\n9wQREREREZF9YRJERERERER2hUkQERERERHZFSZBRERERERkV5gEERERERGRXWESREREREREdoVJ\nEBERERER2RUmQURE1GrCwsIwcuRIqcOo4d69e1AqlUhLS5Msht27d8PHxwfl5eWSxUBEZK+YBBER\nUbNkZmYiKSkJRUVFNaYJggBBECSIqm5JSUno37+/pAnarFmzUFZWhr1790oWAxGRvWISREREzVJX\nEnTq1CmkpqZKEFXtCgoKkJycjHnz5kkah0KhwB/+8Ads3boVoihKGgsRkb1hEkRERC3C1oG8o6Mj\nHB0dJYimdocOHQIATJo0SeJIgKlTpyI3NxdnzpyROhQiIrvCJIiIiJosMTERCQkJAAA/Pz/IZDLI\nZDKkp6cDqHlP0N27dyGTybBx40bs2bMH/v7+UKvVCA8PR25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EEPOYoHvvvVd//vOfu93++uuv69577+2RSvUFnccFMU02AAAAkAhiDkGrVq3S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\nTWVlZbruuuu0Zs2aHj2WCWO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TISknK0+Ds/I0KDM35ibmnTt3SpLGjx9/fr+sOPK3jWdo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\nUhQmQUREREREpChMgoiIiIiISFH+D/oE9UpbjtSpAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 16 + "prompt_number": 17 }, { - "cell_type": "heading", - "level": 2, + "cell_type": "markdown", "metadata": {}, "source": [ - "Using SymPy to compute Jacobians" + "##Using SymPy to compute Jacobians" ] }, { @@ -1204,7 +1209,7 @@ ], "metadata": {}, "output_type": "pyout", - "prompt_number": 17, + "prompt_number": 18, "text": [ "\u23a1 x_pos x_alt \u23a4\n", "\u23a2\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 0 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u23a5\n", @@ -1214,7 +1219,7 @@ ] } ], - "prompt_number": 17 + "prompt_number": 18 }, { "cell_type": "markdown", @@ -1224,11 +1229,10 @@ ] }, { - "cell_type": "heading", - "level": 3, + "cell_type": "markdown", "metadata": {}, "source": [ - "Designing Q" + "##Designing Q" ] }, { @@ -1286,7 +1290,7 @@ ], "metadata": {}, "output_type": "pyout", - "prompt_number": 18, + "prompt_number": 19, "text": [ "\u23a1 3 2 2 2 2 \u23a4\n", "\u23a2 \\Delta{t} \u22c5w_vel \\Delta{t} \u22c5w_vel \\Delta{t} \u22c5w_alt\u22c5w_vel\u23a5\n", @@ -1305,14 +1309,13 @@ ] } ], - "prompt_number": 18 + "prompt_number": 19 }, { - "cell_type": "heading", - "level": 2, + "cell_type": "markdown", "metadata": {}, "source": [ - "Example: A falling Ball" + "##Example: A falling Ball" ] }, { @@ -1335,19 +1338,19 @@ { "metadata": {}, "output_type": "display_data", - "png": 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+MM4+VRhqtXE62latjK/WrY3vn+QuRBoNNGpkfA0fbkxLTjYOyD98+P7ryBHj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AGzNOHeCerYsmO1Hh9Piv+V7Da79v3wrQod5zwTWKtW0m9+Y21rQJPRKUBw3Y8/Sg88IF24YGm2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\n+bx7hjHG9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WrRsNGjRg0KBBnDlzBmtra2O527dvW7TIn42NDa7/JuHZXa+yu2LldP36dSpV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"text": [ - "" + "" ] } ], - "prompt_number": 19 + "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can artifically force the Kalman filter to track the ball by making $Q$ large. That would cause the filter to mistrust its prediction, and scale the kalman gain $K$ to strongly favor the measurments. However, this is not a valid approach. If the Kalman filter is correctly predicting the process we should not 'lie' to the filter by telling it there are process errors that do not exist. We may get away with that for some problems, in some conditions, but in general the Kalman filter's performance will be substandard.\n", + "We can artificially force the Kalman filter to track the ball by making $Q$ large. That would cause the filter to mistrust its prediction, and scale the kalman gain $K$ to strongly favor the measurments. However, this is not a valid approach. If the Kalman filter is correctly predicting the process we should not 'lie' to the filter by telling it there are process errors that do not exist. We may get away with that for some problems, in some conditions, but in general the Kalman filter's performance will be substandard.\n", "\n", "Recall from the **Designing Kalman Filters** chapter that the acceleration is\n", "\n", @@ -1362,15 +1365,6 @@ "\n", "Here $\\beta$ is the ballistic coefficient, where a high number indicates a low drag." ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 19 } ], "metadata": {}