{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Use MATLAB in Jupyter Notebooks" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Jupyter Notebook](http://jupyter.org) is a great tool for interactive computing. It allows you to combine codes, simulation results, and descriptions such as latex equations in a single file. It works for [many langueges](https://github.com/jupyter/jupyter/wiki/Jupyter-kernels) including MATLAB, the choice of this class.\n", "\n", "For installation, see [Install Jupyter-MATLAB](./jmatlab_install.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Jupyter basics\n", "\n", "The most commonly used Jupyter commands are\n", "\n", "- enter -- (in command mode) enter edit mode\n", "- shift+enter -- (in edit mode) execute current cell\n", "- esc -- (in edit mode) enter command mode, so you can use arrow keys to move to other cells\n", "- b -- (in command mode) insert empty cell below\n", "- x -- (in command mode) cut current cell\n", "- v -- (in command mode) paste the cell you've cut\n", "- esc+m/y -- change current code cell to markdown cell / reverse\n", "\n", "For all commands see \"Help\" - \"Keyboard shortcuts\" in the toolbar." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Printing formats" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default output format is \"loose\", which takes a lot of space." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "ans =\n", "\n", " 2\n", "\n", "\n", "ans =\n", "\n", " 3\n", "\n" ] } ], "source": [ "format loose\n", "for i=1:2\n", " i+1\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"compact\" is a better option for notebook." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ans =\n", " 2\n", "ans =\n", " 3\n" ] } ], "source": [ "format compact\n", "for i=1:2\n", " i+1\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Use help functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"help\" will print docs inside the notebook, same as Python's help( )" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " SIN Sine of argument in radians.\n", " SIN(X) is the sine of the elements of X.\n", " \n", " See also ASIN, SIND.\n", "\n", " Reference page in Doc Center\n", " doc sin\n", "\n", " Other functions named sin\n", "\n", " codistributed/sin gpuArray/sin sym/sin\n", "\n" ] } ], "source": [ "help sin" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"?\" will prompt a small text window, same as IPython magic \"?\". (not shown on the webpage)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "?sin" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"doc\" will prompt MATLAB's detailed documentations. (not shown on the webpage)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "doc sin" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make a cool surface for plotting :)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "tx = linspace (-8, 8, 41);\n", "ty = tx;\n", "[xx, yy] = meshgrid (tx, ty);\n", "r = sqrt (xx .^ 2 + yy .^ 2) + eps;\n", "tz = sin (r) ./ r;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The \"%plot inline\" magic (default) will plot inside the notebook, same as \"%matplotlib inline\" in IPython." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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CjL9IbS+wWpFiBFd2jsjaSS0r5a4yzjeHS/2hLFQHmn9Pgw08l8Hb1tKqV4bsLQ0i/c14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YQQpAuEVCNaspGWnHPvQGLiCBYsa7d4E5EF38ro4o3ULaDM17GI6o5OnKfsR87XyZihDF1Qu67h\nuZU0sicM1ncArVsCkuvcAhB2EuSkE96h0FHXYPmeTB2BzhBUVwWRd3K+VWTA/V3lg3z60XcA8MqS\ne97L7V9W3PBSalneynbIYdIGuZikxCqmEWd7sn4mJtjLX1Ob9EyIoFOx6iCjRwBgHOWV/WGLoOOz\nP2wWAqSYBzjLSTGkh0fZeeCaRXsQTxHc8CWEo0IIiYtEUd1QZZOUut4++iNHzgEJAHIneeyartk5\nQ229gqI7c2kPqBL6casnc4igMD/EJJTPjER/uUuVm8xPe4gb35d7cRnEZUnfXiYiT9lUybnJuLMv\nTBkBrz+JRB4lvSJRDpIewbVWsv4tHCqglJkOIRQb7kIx9yNBy2XlUlvNbyRwuGXIsOTj48MMo/9/\nKcbjFi9e/Hufw68Vy5cvnzFjxu94AtkZjW++ce3oUafZbD93VqquclrKHYkpvovTgyL6e3xzuOWb\nw83e3pD2nN+0NJ9zZyVB4DIy/Y4ebhVC8aI3/LOX2YHHPj44K5cIAneyzDF7mvr+gfjNTMei2Wpb\nHZg2k5wlfPnPNG8HnTASHzpJ078AwsEHW+HgKbjeCqXn4LQVfqqG0BD4/BuyrZRuOEp9NfBTNZw4\nT9d/S6wN8PlznK8nWBvoixvF/T/RL6aoRtyJo7tyd4Xi/T/Q4ovUdMK5/2cpcRAX3Q3r/VHxRUox\npRg8WtGVSqoNQTVV0n1DVMghna1TnfvJkfikx9kfWzZ/1ewT6OHtCWfPivcN1Qh61Z7Cq/cN9zet\na7JVi0BJRKSnjy//zT/qAaDXnV4+vvz1JrG8uGHoiGAA6HWX/2crfn4sqbuPL+fjywHA4X3Wp6f3\n1Oo9fHx5Hz/V3/NOj57g8rnp3Sfgo7fLHhgZZvqbUwiiJy+orS1cS0XztCleR4+JPt6YpezezHZO\nS1H5eCMAWLWufZz20WLi443ui+YAwNcTDpcRbTB64oF26rP7W+rjie6P6ECGVu+nD/VBD93tzpAK\ntxNSjcaPuvlWD20rpU2t8NDdKKqNV/l4wZFyNjyw/Tg/W6H0LIyNQs+tpLogeDEesWSjjKYAsGWn\nNH4Mf8ul5TvpLyM5Lz/8wVa4SwD54OYDUsojfPFFAIABvdDRI47qOhIzUgMApcdr/j/2rj0uinL9\nP+/M7LLALneYZSFF8ZbGLipYWWZai5omh67nGIjmKcXugZSVZlpmIGVeQi1UYOuczFTwCquWWekR\nFHbRvCuiLDuA3C97mZn398e7Lsva6VTHitOP7x98dq77sjs733me5/t+nz3bKlfmjwMAuYKJjvX7\nYtMPPn7eAKAMk8kVzHsLTs9IiRgwWA4AZpNl4Usnlqy4Ta5gAOC9BaefSR+gVMkAIHPRpblpfZQq\nD8Px9rUfcMuzIwBg7cprSU/6s6HM8veakpIV+n227bv5hKkeuL0z5Rlf3ef2yAHM9m2W6CE010Tx\nXnSHXOQ9xJgINO5WVHCCb7VCYiyTMkaSMob56jQoPND4wZRChhQyNH4wlVEkIIQGK5HCE0b2Q2mf\nivfeSik8ITQA7S6Ftk7422hqZH9kOA9DWBQ9AF1phQNncIMZKQPRgHDI34VfTURjh4L+kPjl11B+\nAXW04ehBaMIdyPiDuK1YZFnq4iVxTiIj98Tr1naMvtNx/fx8NDU13UTnOoqipFKpXC6nKIo444mi\n+Iuco2/ueG46/jfMVf9HoY2TmWvs6miJs8EMZxbmvVyvL+rgagEAJ02XJ06X6/I7kqc3JiZ6aeM8\nsrLauTqsjZOlL7RwTRQIIldtLdIp0hdaNPfQ6tvo9MW2jIVSQChtGR8VRb/8gXj8EmKD0J6jOHoA\nrE5BAO5P9wAAcN1LtBEAoKYJmxpBrMLVzeKklaLK19EHiBgnm5pwgUEsNIhTNXTKWNrUjLMP2QuM\nQmxfWuUPU0eg0kpsahJaAkQvhqppoigrNn8rKv1w2ixqeY5U/xWf9KS/vqgaAGobaXNVBwBoRnir\nh8vUUVTchKD83NaiXXUAkPSk//TZYRmLLpFn6gnxypdnlZNxKsM8o2MDnUWO6NjAvduvlpdcIymm\n4aNC9mytLDtaO3xUCAAow7wnJURsyr5grAjXqD0ET7r2im34UJplaeM/bI522tfDILheQHJ+NM4G\npgAQ6g99KHt5tdT5iUH3AhLByH6ItuMHR/xIgoF0MTCewupbu5eX/CHUH+0owztS3b0ezA3gal8/\noj8qu4BJ2o3EuOqhlKt3APkvnAEfG4xcy2Pq22hjBf/3aQwA3lCE1OdBM8ixDwCk3CV+sPha5gdB\ngJDxImP8QQzx7Xwh6asP87tauuz58jwbKnntveiiAvPLs8o1MX7gIm0gCTrCQK6VJJJ91YxUgIuP\nOAmP1MNl+qIO4wkha5XNfKEpLd0faB4AuGvIcA6hU3Z1tNR4GncEM+0+PO/Bg4hMTbSpCROTupi+\nNFHWLYmnF+zgZ+mEmFu6PsPsg8LxC1igscoPKQPhqU384r/QI/uhNx5Hz6zFI/rDiEiYPw29sBo/\nEIvWz0LmazBtoUikjBSFcnfh5MkoKZ7K/ER44jGm+AiVkS9mvUSlpkiSn7eyQRRXRy1fz2e+LmH9\nPNLnt+fmdDWL+gMhl8vlcjlp83b16tU/jWFrb4T0G4JVMppojwsX7FkZTW1tWJfbuvajFrmc0k7w\nipvkJVfQh7+3rV3TXHFCBACj0b59uxUYBih0+FBnQoIs8WHGWGbLzVFkrba2t8Obr8gWv2+PjKDb\nLJCZK4aE06OHI2UgWvECenQsmjQKDR+AQgMgNOCnhqTwBIUnqPzR4FA0bggVH02PH0z5eCKFDM5w\n8Om/xDNmvLBQiImgVjzOkImirRYovQQ1jUjlB7pS/kytOFiJYiNQiwUaRACaYnhE8biNZ9ob7Wkp\nkrXZLXFxnm3N/IWzFs1Ir8OlwAZBZCTDqiT5H9c99NeA0XfLDhVfMZZbtm+xyH2YtmaLUuVBQp/z\nZ9ounGmLjvUDlyAJAOQ+EgDYkl858S/hACD3kSrDvd999eijyQ6iCA331hVSHXWCeoxfK6bH9LVG\nRjJqjWTdx5Y5T3vKvZFrGLR9j6AeSkVez6qty+PfTOtyqFu/rlP0lMjlaEC4g1E+2oKnT6bkXt0+\nxi25/MTRtJu+QH9I1H8rJkyguHqsudWdrsrOiUOUaEpMt0PMDdDWCdGDXFYiWLEDFDJYM6drpVtI\ndLhUVA+lXEUZkRFdi/oDdu190hGRSBmAdn7WlvCgB/kESFpSl9vaRnnKJQLXRNVW277aWjJ/2ShC\n7QBQdrR24+qTGwomkFApcrDnF5tOd3TQ58+0yX0Ys8lSXGhesuI2svPCF084w6M30847wyP9ruZ5\nC8MA4K35XMoLgcXFndsKrQp/mXqw4C0T57wQOPfpurRX/N5aKQIGwLjGKm0Nojp8RJHGYT504ihm\nxePMECU1mKUKKoRPS/jsbwRdKV9SJar8YPxg6p+HqHG3oiGh1BAl9Rc1vbIAxg5DGAFGOMwXfVgA\nheXijjKMKfjmJB4UigaGgcITrdqGHx2LyPfY0Q6PjEM1TVB+Hjpa4SEtxdWDwgOnPE4jAa/L5c2N\naPRI6uIl8c1UCRJh3fpOkDKAsX6fjQTcPxO/aURCUZSXl5eXl5fNZquvrxdFkWEYivqpQkwPj5B6\na0i/LUhtPylZoS/qMBpsaa/45X3GJiUrzCa74XgHFvi0dD9XfV3qCzKw8xmZvuphdNaKztwche5z\nm/GkqFYzyc9bDeeQ4SwAgG4Z/ekSKnkySp7831rlk2L4knhmz/OSnOkMqQkXGsTsg0JppbiggJ+V\nxzs9WPfOlcVHMTWNqLoZqwIhNEhs9+ObQrFdQauHgKGSAQDWT0yf1xw3xZertiVOkyVOk+V9bNIX\ndShDpQBA9NzJKRGitTlzVShXw584yWS+dZkUk1wd6pRhnkqV16Y1Z8kiiY3KSxxVkeGjQpRh3nu2\nXbq+s3dds492gpfBaE1PQkajXRvnAQBcrUPwrT8o/Kjg2y1aIodkpdF519taFx3BrgUk51HKQMjf\n5l7oNpzG2jGUZgj1o93ezv8Lt51xP+RGXUNtHfaus82+q2tPZ0jkXPMTZSSWpTjO8TrmFoG7as/I\nw859WCWt1kiNJ3hWxSC7YDhPhQ3p42Qjc3X7C0lfzV82ynnmDSuNM54Z+H5OtFIly82ufGnmUedU\nMNdKUt66as1IhVt4lL+xCWhmXmpD3rrqYK+m3ByF4Whr0pP+ZNps/mYbq6SRxW4NkjaE4g5fQRkk\nhgaJmBEKTtqJaUj2IXt8FL1kijTlbkn8UMneuTJi6b3zZXpXKcT0oaZqqJH90IJHqaIjjurRnHvp\nmAgUH00teph66j4U5gsvfSg+9C6+2ozZQCCSnwl3IMA41A9/+CyadR/WbeGfWCCKUmQ8hWtrcdxd\nFBsE+q/54u/AcAaTAFo7jtHrrVwzbbzwxwjBfwJ/JjFeLyH9HtBO8Mp8PyjtFb/ivR3Tp3ET7ud0\neW1p6X55n7FsKJM+r5ll6dy8AKPBnrW8NSPTFxBKf71dG+eRtdqq2yYCQwFA4iNMUZ4k730mKeEm\nt2xxQuWHUsbSOcmSnOkMACwoFIg3dspYRwe/7K+F0oswNYqO7UOVVAnVrWJoAFbfKjYp8XmK0t5D\nLV/akDTT13zVkrXSyoZJl79TlzhNFuJvy1xiKi62OK3qiHq7prot7fXgvC0RvKX2vYVnnnjQmLe+\nBijGOdPo1Xc0ewuuktfKMM8Zzwxc9rrBOdrXlo3auOqkubrdXN2esewqtHRwHK+EltrLVo4TWZbW\n7+96mOXqunk0uMYWrrUZcogyENgAKDri4AkyA8kV+oOC9h6Kq3dbDcZTOCmBYoPhxk36QyIbBFyt\nuxvNjbqGl1dglZdA/AC7drtB6v1vCSmEcnqrsyytDASu2p67Czv3iZvoxV1sN7dLwMYDQ9c1+5qr\nHbO+lr569MP8cU5+evfVowAwKaGfUiVLTokICbaph8uiY/z2Fpj/NvG73HVXEO2RsehS0Y76vI+5\n0DDv4l1NmW9VGcttuo0tE+6+tGnNGe0D8owsP2xtnbcgnBiBA0L64s7aBoqr7FB62VtVTOMtKITF\nc+6lp2ocM17jo+iYW+gwb2bDNA+iWUgZS6v80IICx2ei8oenx1OzcxycPTkGHogBkuQM9Yc3Hke7\nS0Dlhx4cgRY8Sqn84OnxAAACDbtKYZkOmxsheTLKyMcAoB1DaQaj4X0xIHS8isrIFdlglJoiUQZA\n2lNU4iNM8UEha7WVVTHqIUg9QEydK+VqsS6/w/0L/qPhJsa7evXq/yIt9absfifI5VTkAEncRK/R\nd3u2d4Dch9Hvsx7+3qbTdRAX5O0FVv0Be+Qgj+2Ftu27BVbFREZQcm+U+ow08RFGPZSK7Pv7PT0o\nZCg2gho/mBqipM6YcWax8Om/xLUHhXFDHKm82L50bB+6tBJqGgAo7O2NqyxivQTM9cKZ72z9I1D/\nftSR41Rbsz3hEblS5VFUUBM9KnDdR63A2yMHeShDpcowWcaC0w8nhssVlFwhqbnSRBJBtTX87i2n\ninc2fvnpVbPJaihtBsybTZ3nT7e0tfLlJdfOn245f7plb8HVvdurL5xp37zp5KF91ScrZMhTztUK\nSUkK4wkhMpIZPdpje6FNHUVH9qf1BwVnvs71NQCsy+MTH2GclWrnIZpBKDMfPzweffQFviu6K31H\nkJVtz1go/f6YqAzqmhVE8nVznqDlXshtEwCs/VSIG0MZT3bLrcENuoaXPxAn3IkGhojGE4JraugX\n6RpI9ymiLTz8vU0ZiM7XM+YGuHReSHiAkcupbV+2g493e6OdDWUunOv4ZvfZ1vqmjatPDh8V7JSK\nlB2tPbSveuX12tL1xXujY/0mxiu/KbowY26kMswbAaxednJ4bCCiJFyNfc/Ws8lzI+MeUFRfrJ4w\nJWj639nMNy9MeDDornH+6c+ZF73Lrl3XXtsiNV/uoIb6lMgk1gAAgLZOVHoZl17GGxKl6VpJbF86\nNoJqtUBmsdBqAZI6DvNDpZfxV2dEHxmYmrDCk2hzgCgaiIoBAA1SgcITWi1w6CTcMwzJvUDhCfm7\n8Dt/pybHID8a8naIxy+jQyfA3AAIQ/QgpLkV6bZH1mZdAAAgAElEQVSK856kHrqPqq0R1+XzmEKR\nfZHuC/7NlyWjR1JZH3QeLgc2lL54QdDeS2vH0du3WThOVGvcm9nfiN85RUZRlEwm8/LyYhimpaWl\nqamJ6CD+qPH8UvSKGn5vsCydmqYAhxxc5DjHUx5Xi7VxMjaEsttNI0f0+UPH6IDKD031Qw6/u+vm\naWF+SOULZHHOWDo2AlW34OxDdqBwdasQO8677BT2rLNHlrXnbgxOf6VVr7dotQrNcK+QAGvaqwHL\nlzXo97RpRng77bqjY/yIZsFc3TbhwaAJDwY9n1QTGs5MengAZ7IoVbKcFUdH3BmuDPMGgOjYwN1b\nzjzw8KDoUUHKv3gq34nas/XSiRNM8ykZ8vbEtfXq4UG6f7aQT1i/35Y4TQH/3qABukdLAGCs4Elz\nBGeQZDgH6dO7F4quZ/nUt6Lib0X1rQ5uM5zGaU85XqtvRYbTXZuMp7DxNM58jdJ/9eOhbfk50Axy\nxGTJk5GxgnG2NHSc8JfqGk44rittnIe+2Jr+qldGnmhuJIfQ6ttotj+vN3ko5XYYGMh6y/Zs+9Zc\n3T58lMO3u+xo7buvHnVlI9dFohEn9bzykmuaEd5Z64cAwIszjkx/OjzpSX+nFpwIwbNmhxHXu/zc\nltpGifw25iLjXUtjTIlhcoaE4OQaW1AgTI3GsX0cvukqX1h7UFj3lYiprsa+e/+F1YNFAAAadpSj\nPSUg0FjlBzWNcKUVlV1AxAO37AImjhsT7kBFhzERL8TdhYq/R+ohEMKisvOw9wjJ0aGkBGr5eiHz\nNSbpITr9pGD8QeSuIa4R6b7kEx9mUl+Q6f5p094r1R9EWR/ZtWOQdoKnvqjT6WLe00AsiORyeVtb\n2/9Wm9peQvrDwLI0y9IA7g9ZlZW/h8fwLwJJ5cVrqNLLuKBcKL2MVX7IsNDx2KVqwqZhkrXfCCo/\nKLkigDe0ejMVnYrsr+0Z7ylennXCfOUWoqb7dIdarfH428TvDUcb46YEErvu6JxoZZjnxL+Eb1pz\nbsWmQAB4bdmo55O+mvnsraQ+EaLEe7ZWvvrOaPJ2mhifjatOvro0mixOeqjfPz67ioJ8wc5rJ8m5\nOsxxolotIck3p2OQU0fn+tpdbrff5qw5AUD6dOqJBeKEO5BbAclJA3FjqHlLuyo9JF/nGOQQavnH\nQtL1rsXF34qJCRRc55WMhd2q4ppByHAWm+9AGXn4/RcRkDpQ9+SeUybnusZ1UT2U6iKkqC4+U6sl\nuvwOZSCkT6cSzzCG01g9FNTRHgB2tdqTuywkJdKZ7wvj7+47Y3b/jatOPjZ+56SEiI2rT36YP448\nBJir29999ej8ZaPIItGIbz4wBQDM1Z0vzjiyYtMdAFBecs1s6pjxzB3g4heet646fVE/Y5lFv7dd\nHSM/XIfbBigwhVV+OKYfFJwQMYOBgpIqVHpZMLXi6nYh+zv4WC+dHINVfig+mk4ZixZ9Kb71kGPm\nnMPAfhhNJpk5FmPR8P6opgmXnYfc3VDTiI9fBAAwN2DuGkQPQOnTqdQVjq9y3kwqNVPQvUdPHIX0\nh3DmBrH8ImWuA5Uv0h8StWOoxIcZ3RY+801p8SFUvN/O1Qja8RL1MIGrtmcslOk+69TltatHyIyn\nsPEHK1Ao8QlP6Km4UYzXwy2IemtIvfi5cHgBJEv2PC+J6YsmrbQvKOAXFPDEnnXJVGbPc9K9c2Xx\nahoAs0pq6zk843P+PBuSs6XRaOCVodKiHfWskn5l8cDgYLvhePvyt+sqyu3EB8hVs6AM85753LCl\nrx4l7zspoR9cfyoni5MSIh4bv5Ms6nI7QCJB3p4h3p1xDyiMBrtW6wEAxgqBCL6hexj0EwUkY0W3\nLJkyEKIjQenr/nzg1EewQYgNcui8SYnIWdtjg4Gr7+IP/SExboyDkG40kI4eCFwDZOSJ0ycjzSAE\nAKTPoWsZ6RfrGmqdr2mOE41GuzIQ0qeJ+s0cAGg0UmO5NSmBNrdJwMZr+vGS0CHkYx8+KmTj6pPK\nMO/yf9WS2tLSV49OSogghSU31cOy1w0rNt1BvjunRj83u1KpkkXH+DmF4Jv+0do20G+/p3fLrYrQ\nILw4ns5JZqZq6Pgo2tSMs7/l/55rNzWDyhcRm/nZ4xDNOyysYiLQ+ifpRV+KZMYCKRERQw2y+EAM\nyikGlT+M7IemjEQjIuGp+9HhDLR1PnowGnJ34Rw9nrseWz3Qsk8xALBBEHcXIm1htWMozUCYOBLS\nZ6BgJcrdhXVbBe1YWj2U0n8tJCXQabMZfbFVt4XXHwbdFl6/35Y4zTPxCU/uqjV3g0/iE556vbUH\n1pPc4OqM19HRo0fbS0i9+MVQ+aEl8QyR5BHVQ2xf5OxkUXoRhcmZ2D40ULi6TeiM9G24O3RNCZQ0\n+uZ/bAYATYwfxkLiLD9dwZDoUcHvvXHyvQWnzTVWV80Cuf2VHa0li68tG1V2tM65OPO52yYlRLz7\n6tHcj6uLdzQAg7R3CNxVq3q4TK+3aONkAGCs4LX3S6G7vs4tJLqBkHjtfd0C1vqTrfv3dXuidDPB\nI6k5ADCcxoRyCNggpB6CnFylHUMRrnLm1lzPyQY6HO1cNZNkOlG33X6JrsGVz0iREgA0AxFXw2dl\n21klYzTY1Lci9TDaWG5V30qV77uyac2Zx8bvVIZ5bT4whWTnHhu/8/mkr8zV7TOfc+i8XVUPRADp\nZKPo2MDo2ECzyeK0eMhcdOn+v4Y/9ErzfrmvT7T3UxMlxHZhwW7bxFXWBTtsTgZaMlVSehHio5jY\nPhQAzB5PhfrDoi+v2090lzAQQ41n1jo+w8kxEOoPn+gxACgDYP40RLwYQv1h4u0o3BeeHg9r5qCZ\nE1GdSUx8TXj5AxEoZDiDDWcwAKQ9Teu/EaMHwPsvURNjsG4LP/1l3tyI9N+Ixh9EdRST+Fcp6yPk\nrpZptR66f9rS57exKoYNZXR57YnTZBnvKQCg53MSXFc9+Pj4/NED+Sn0ihp6HHp41dEJInyI11Cm\nZlhYKJia8MJCwdTsaH83fjAdr2ZaLXCmBqv8qAYpY1F61vsrsJRWyJkwf/Sl7urDT4Sph0uOH666\ncKbtwllrcWGt2WQFzAOCtlY+elSQc6ZRW6td7iNZtbRc7iP5dl/1xtUn926rbGu1Hy3xQICC/TqV\nrCxyoHT0Pd7r1raTAtK6jTa5L5O+2Pa9/lptm0x/UDhcKh4uFbVjaTIDyfiDuH2PMCe5i4HWfWJJ\nfbGrJGA02rd/2RE5ROacUQs3zGFCgHTbxIQJ1NpPxaSHKLlXF2dw9dh4Go8eSb31oZCU4OAwuTdy\nmzMEAHIv+HSzfV4yUgZ3e0Ak04m6TvhLdA0cJ3K1ItE1kAhp9GgPuYIyHu84XIbkfhKw2ZVKWh1p\n35pfEzlU8f3BVmO59R+77xhzf7jcRyr3kZYfrS0/WjcpIaKt1b5x9cnzp5q+3W9qa7E9+dxtAFBe\ncm3TR+c++XIMeb0l/9KKTXcCwIIXT8xIiQgZ4Dvvo+YzkeF6E2qQMfHRCCgoOMEDOGwXwnyoszUo\nPY4ZwlIAMFiJfGRoQaFAXBjgeqvcY5cwcbUYHIrO1sDXp/CgUKTwhEEqOFcDZ00wIpLMBEcfFsJA\nFQoNALknnK+GbytgTBSSe4HcCz7agpMfQINUMDAMbdsjJCXQF65C+QUwnsJyT6QZgto68PfH8eiR\nFBuMLlaKCRMpb2904Sr6/igv90Kjb2f0++3tbeKcJz3knuL2rZ3tnch4UrxYKXKcABi3t2Gj0a7T\ndSQk/Ejurqf9nHvaeNzQS0g9Dj38inGDk5Z+uNzUYJXF9EWxfRG5m2QfFEorIXEUM34I1WrFphaM\nPShTM/70CN5/kaqp40cM9RwY6TX89pDdX57N2XrPXeODBt7qs/LtfxlKW749wH2Zf7m9DW9YWb5x\n9ckvcs+eP9UEAHu3VZqrO8bcH7Yyf/zAoYEVBtzW3JnykmrfXkva68GHj9jk3kiuoOfNa/D2QZED\npImPMMWfX83bFKQdJ5F7o+It5ot1nnJvFBlBGX8QXeV2+v02uTc1+o4uftLldzjUenu64io3VR4g\n0G0Ticg7YUK3+UwI0LYiUe4FxtN4TmLXpht5JSvb3lFvk0u6q7YQbC+wJcR7uJ7TNcKTe6Pte4TR\nsTQZjNwbrcvjtWNp59i6+AzB9m2d5HbJmXk2QLxolihD0PffdCTN9Pv+YOu+/TwbyLfbPM+fatYM\n9/oi98wL078CQCvzx425P3zSQ/0G3Or3Re5ZrsZ+8Zx1b8HV86dbvt3P3T2eVYZ5yX0ky143PjK9\nv9xHunlbXcEpyqBQrv1GuGqXhgZAqw2r/FBsHwpEqq2D2pAoHT+YDvN1aDgXFPCmZoeITiGDMD+0\noFBotZD2g0KBUSypEj/ZB+sP4PUHcJsFappgZxnO2o3XH8CnOVzTBF98A9+chHM1UNMI50wQ6o9C\nA2BgGNp7FEIDkDIABoSj7wwYEAwIR2ww4uoBiXjuX6kJd6IT5fxWvVh0BNo74ftjomYIFdkXqYdS\nWdn2N1+WjB6Jaq/YdZ/bDpeD3IcyVgiREdToO6WAwVhu/fILf+39Uq5GWLfWoZi/eFEoLmqP7M+w\nym6F+Z72c+5p43FDr6ihFzcBKj/0N01r8tiAAoO4oFAAEExNeM5Yek+84wKLj6InrbaZGsHULAAj\nCL5Mh0Y1YzuE7bNP1cg04yMcZfOpSlGI3bjq5PWaefuerZfM1R3OogVZs2db5fA7wzPevFjfGoB5\nK0XL2FA7G8roP+gACmWt6DSfv5a5Olwzgine1RQ32Y8NlQAAbmvVjqWTUqTpi203soLTFLxrjdGe\nmqZgQyndFp5UnvQHBTdVHknN6Q+JTn1d16Zg4Opx8SHRqXQgcNPLGX8Q9QeFjNc83NI+bAjF1Yqu\nIosf1TW4jsdV1+A6PZa85jiBZWnNcM/8DY1pC/2T5/IhHhgANCO8K060Ipk3iB0nTkmnTT7Kd5pn\nPjvMmabbuOrExtUnyRpzdWd5Sd2GVRUjbg8rL2nYW3C15koz8lMe+YeF39dqZwOw2q+jXQAGkEAh\njHKe8CBZOAAorRRn5fFOTR2Rxqw9KJC+t6RzB2nbERtBqXwBxv6IR60rSBmppgFqGkHpj82NkKPH\nz6yDUH9AGN75J54VhyaOAqeiAQCSEqh5S4W4MVgZhFJTJOmLbakzqPJzGBC9fJ1dO5aOG0Npx9JZ\n2fbUFEniNA9jRXtiAgU0pT+IslZa1MNodRSj1kizlrempikck685gQTlxMVfbbA5rcJ68UvRS0i9\nuGlwivEKrnfXJq3SCgzi2oNCTF+Uk8gAkpBmNvFRNAAqNAjZhwRAAyjU4XdQiNdQkxL6ma92ybpm\nPnfbxlUnHhu/c2X+OGWY956tlwBg1acTXpxx+FpneEigLSm9n6GsM26Swmi0l5e1TJ8ZFDVEmJci\naEZ4A0Dxzqa4KY7nQeOxDvVILzYYZSyU6g8Ker0l8RG5c/BOwbcTRK0H1ykkNUXi6hHuRFICPe9d\n3s25DpxlpNM487Vud1U3XiFnZllwTgBwQh3FcFw3QoLudS/1UIpwJACQv/qDAlnvymcsS6vVEjJZ\nmLSkYoNR6rMeWavBWG6Nm+KXv6EBMT4IdSbO8M3/WIlFftNH5801tkl/6bNhVQUAbD4whUjsaqpb\nl75ymJSRTE143e7W0xW8qLie5xRxyt0MAKSMkRAZ98LtwlQNJgwEADF90dqDwtqDQqDMGiCz3j3Y\nc0m8p8r3PxDPvwNpj3u9SW7X519ScbXWGl57De85it/9DJQBwDWj93T4lUTEBnUpvNlgpB1L6792\n2Oxmrca6z+26bTRgQIKoHSuqh1IZ73qnz2/PeNdbO1aqy+f1+60AHvqvBcAYqHZ1FM0qKaPRnjy9\nISPTlw1lkmb45Oe1TU+sS0vzUUd7/Nioe/FT6CWkXtxkOGnpYz1P2nfOGUvveV7inEeScrfEVMAX\nluPqNl7li+KjqZi+NGDfwjKRaMdHBd1S8f2pjatOzHzuNnN1e/TtIXu2VZLqOlGCbVpzljMLry4L\nznjj9IQHh7z/3iXNKMXLT5/UamWJ08KXLzbFTb5OQsc7iOc0ADjb87DBKMSzLcTTqvuUSX3RE24Q\nfAOAXm8haj0ASHyESV9sAwDjD6KbYhsAuGqbErezQT/iIch629R9wU3ZTypShFcIfxCSY1naaLQ7\nBQhwXddA6kDOYx1vWof1BwXdFh63tXJ1vuScrL9QvKWeq2NJ8MequvhMrZYYDXa1WkIayRvLLNqx\nMsMxW9HOjnlvqNTRHnFTPd5/X85VWzS3B7KBPtUXqxGiN645Y65un/ncMMJGG1edyNl4KfntsUcs\nATPetgIApqTgI1H5QnwUHduHzv5aKCwDYvOh8kPxGsrUhAkD0XagLWJMuJgzXRYTQVksYm1tI8dd\n8vX0Zf1ZAN+feXX9HAQr+NgoAEAwwdGQt/w8FB3G980VlYGgGQDmRof7LQmGyHeR+JjUeLIz8XEJ\n0Mhwmspa2cmqJNqxtPY+SdaKzoyl3tenHGHir5qV2ZpV1Om8SKY/UacMlQIClqU10RLSYiYpWTFw\n8E38z/786K0h9Tj08CTvv4PbsBUy1M/X/tU/Wmx2j0o7AEBsBGVqwrp/iZnFwrgh1IrHJPFqBgAO\nnBMRRqVXxJKrgsofgMKqEOlhFFIlC1y5/MQXuefCfNGjMwY9/9rwSQ/1U4YrQsMVa947rRkpb2+n\n7rrXr7aWOnxUbO+ghFbzK0uGyBVM9gfmeQvD5Aq6eFeTXE6PHqsAAPLaGS1t+2eDdoInYiTkjr+9\n0BbZn3YtIC1+qyUxyZtlaQAgzqRcHT5cKrqKIAjWrmq6eElQa6RkZ1esW9Padq0z4WG523pnwpB0\nxHB4kOutAOA2+f9GXYPxB/HiZbw4y64eSiX+BQwHuezskNGxtHooFdkHvtPXk0UAMFbYvz/Q3G5l\n1FEMIHBW3Tkzr9/TFveAwltq/yirCnnINdEexTsak/4epNdbFy0JNJR3PvR44N3jQ9qaO9ta7Zu3\nXN35deNn31r21Sk6R912tNGj9Iqo8ofxA+mzNSjlbsmHj0pj+9IqP0S+4rXfiF+dFhcWCv/8VrS0\nAs9hOYd9r/L9MP/JUjl5LmEYxtfXNzAw0Gq1VlVVmUwmMpfzl11z/waul6LcE+SeMCAMJt6BJtyB\nogfChWqEGaT/Fl+sxAhgdAyVlW1PeICReyO5N9JttqXOlY4eSbW3iEYjDwy1vRhzDQgEDBir1cz2\nbZb2Njx6tFStkci9KbmcSk1TJCR4atSSC+esd46Wps3zGT3aY/RdngCwdk3L4e+oTgtDiOqm/Hf/\nJXr47aU3QurFTYbFYqmtrW1ubm5ubp4zTb58tczeIs296CgVkGiJ7KnyRfFRTGEZmBqgtApiI5ic\nJMem+ChxwQ7eettQS7TwOY0OnUNhtbZ9a3+YFB9Re6QJKObVdzSJU098unN46jPntZPCbhvUXi7z\nU6pkxbuaNCO8SdHoxnydc5COaImms1Z06j6zGCt4Eio54czXEZAg6cZ8HQAYDba0+QG6/I6MzG6P\n+Xq9Ra2RGI7bjeVWt+wNyQHqtvDqoZQz/0YsFVx3c60DOcALxXs6kqYr9v7T0QKHDZUYjreT/CQb\nKnEuasfSIQo079km4wl58qxWVzl73CQF6QqhGanQDPfKz6mPe8CXq7GzwaAMk3G1YtQwcc/+lqMX\na02NmGcH2R8NaCHflw9V04Bi+kJOooMjU+7BBQZx0ko7qf2sPShQAkwZQR3YJwz1k8ycAJmbsLyN\nBwoBL6Q+557Ckslkffr0CQkJaW5urq2traqqYlm2T5/fyqaE+DNpBgEA4uqx8RQuPiRy9UAcGbT3\n0NpxjP4rXve5LfFxqfZ+qfFEp3oQTnzEw/iDqNvQoi+mASGOw9w1HqBDrZGwSsposBO/BpKvW57R\nTMJcY7nVaLCxSjpuojfHCbp8O2cW1GomdV6PVl3/4eglpF7cBFgsFo7j6urqOjo6vLy8yG3F19cX\nADBlz/rI5mehrY12ui9DCkvkMTn7oFBoEJdMpUnbb3Jri+mLSi9jAJiqoeM1FCBJgZEvqBBKL4tw\n121bahH4KFSzw2d9ZvOa2n/uO6Y+AZ2paYqXZl0gc1+6kdCP5evIa6fSIfVFz6wVnU6FNIFrvo6A\nDUasL68e7E5I+qIO7QQv4obgvqnYmpjkZa62Ggw2N0IiZSTdFj53Vdf6G0/itEklYyPjDKHqEx/p\n6lOrGeFtPNZBCMltURkqBUF44hGobfTQfWblrlHkXunM2qmHyzQjFUB1cpxoaqULjts9h9Pzd3Ve\nwf4AGCIAIgBEFB9FqXxRvJpR+aJCg1hQLmQfFJxmP4UGkavHu46Jk0dSf41k6s1gNfCKepg/F+Xt\nxKFePGdjUJs19QVPdfSPO7/JZDKZTMaybHNzc1VVVUlJyW9KS47PNghpxyDtGIqrx8ZTlPGkkPyc\nlQ1G6ltp/UFeOw6zIVTqi57p89szohjtWFo9xCd9XnNqmg8g4GpFXW6bXm9hWZrjBI6z5ue2kHyd\nUiUFwLrcVlZJZ74fSL73/NxWw3ELAKjVv6CT3v9P9BJSL34lLBaL1Wptbm7mOA4APDw8JBJJaGio\nTCaTy+XOLpba8RKuVtRtx1ILFVAp7m9HpZd5wjpTNVRXtOSH4tX07hKoacKmJuxac4q9hS4sgzA5\nhAaKpVUi6dgGwJRelpVUeZ+CkIkfWa7RAfd6KOxVopOECOuQM7gyEHQnLTaEun8M5qodIjSyUl9s\nJQIqJ7irVvPpBkOJj3Z8t3RHfm5rWrofcYFyrQAZjXaOE9RqSVKyIj+3FbrLrthgBDZ74iOyboK9\n65YKrpEZABBtQtaKTjaEyljqnZbSFRIBgHqkV/7HdUkQfOMiGypRj/Diauxxk73VUUzex6b3FlyZ\n9EhkYpJXUD/ZziO271oknI//mQi/KpGG++RfmAEwAIDKH1S+VGwfKrYPXVKJyUODyhcBQExfVFKJ\nCg3i2oMCzYOsHUmsKICndy6mDGdx6j9EpsmOaZT4GKPfZ0WdiFXStTW2qIG8dvx/Tsf5+vpGRUVZ\nLBYnLYWEhPyidqi/Ak5mSnyYIRlRVkmnv2lRD6PUw2i1xlFAYlk6Mckra3lLbl4AAKhv881a3paY\n5KVWSzizUFzUoS/qSEpWaCd4AQBnVhQXdSzPaFJrPPRFHaQHDdnUi59GLyH14pfBNSPn4eHBsuyg\nQYNIMAQAPM+3tbXV19cDgJ+fH6kKaMdLjD9YDWUWBjzvCoDyw/aiq5LowXS8uktEcOwSXvSluOhh\namQ/lH1QIPpgACg0iABAXGQAoKBCyD5kL63EKn9UUiWofFF8FA0Apj7KBTttgEE1vf+sT20qH2Q4\njpQq34IKQeWL3PJ1rpETABQX1ocEeOvyO4h4FwCMRrtb/q14d6taIzUauqXU9EUdAMQXDrRxHq5Z\nO6ftJqtkbpTPGcut5rPN+HY7gL/rejcqAgD1bbR+v133mVV7nyRxmgxuCImUoVKupsuG1W0xbopf\n8c6m2+72BQ/U3t//4g/ih+WQecmGGU+wYPjWHubLqMKBbxFNzfh6BhVPHeZoOAIAMX0hti9aUCjE\n9BVNTdjUDCpfkLUhrzYmQopnPoT2HsXEYCJ3F1Z5CnFaSfF3uKLEYjwpRA3kjRV29a0o870Q+NmQ\nyWSDBg0il1lFRYWvry/Lss4L7LcDEYaQDCpXi40nBeNJgasH42mc/lo7G0Kpo2g2lCGCb5alU9Pk\nTk5KSlbETfBantHEcSLG2JmvY5X00gz7yBjVbz34Pw16CakX/xnk7gAAVVVVhIScGTk3EHsSuVxu\nsVicNsNsiF/qsx7J09txRyfivVV+AFX2H2zU7EZhygg0ezy17oC48zheN4tW+QMAEJHe0xvEK23C\nnLF0ikvlJvYWqtCbBgDTNZwyWurcZGrCIFKF5SLCuKRKAICU8V4AUHpZKKkSTRJ/1WV0aKcNAKT1\nliFxgSVVIpkfw9XYjcc78gtvyVreRqKTG/N1AGAss2SuCl2e0URydGSlobxrxolbws1JaaySZlna\nrYyUn9uqneBpLHNvV0NO4sqFbAhlLGvPyPB1ZhTdQiLXuhFZDIr02vNVW3B/r5Iq4bhJ8q8+bPFH\nFsAAQIXdyS6ZIgGA6lZcYORLq0RMiaWXqDn3MiljnDPGHLlTIpYjSTkA4K6hk2fQ3LtQfiEGgLdm\nQtxdFLEnV/rDvLftNAV5H0jnLeVrL3XWYmADsdFgZwOEtFeCf+ya+g9wlpcILYWEhPw+tETAhiBt\nCKMdxwAhpwo7ABgrBKBp/UHeaHQ0sOI4MWt5KwmOAYDkV6Nuo9XRHpkfBJF9Kiuv/T5j/nOgl5B6\n8eNwy8jJZDJfX9+777775xzrdL+3WCxOm+HUNJ/lmU1Gg1V7vwe3335nsHj8NOTUws7jeGQ/tCOt\ni3VMjbBoK47pi54ewGQfFACAEM+P1pxSxtIllaIzAajyQ6Zm/MZOW4FRiFcz1c3OZ38aAAoqBFOz\nBDwlbYfsCxuhugnTFjub3P+1fQI9WLYk3/LKM7TRYCdSN9IsTuWL9LvbSN0lKVmxPKPJSUgkS0Ne\nu2btspa3ulKaOtqjuKjTSUjGcisAJCX7zHuuxu1zU2sken0XS3GckJXZIrY1YruM/FRNzVjwklyx\n09mH7GTR1Axcv+DX94Hwra26RQQaQ1DA/iOAvrMDwNRoac4EOrYPZWrGBUYh+yC/YAdf3SKq/CE+\nin57ilTli0orxQWFAogC+ZCJXLvQIE5aaUcYzb6XWjKVlljRnBzwahEBIGkqMp6BuLuQ+Rpk5OFJ\nGjH5OR4Acld55G8TjCd4zTDaWGE3X7EAb0+bH+zMlP4KuNLS2bNnAaBPnz4sy/7qE/4KsCGICB21\n9znWuIa8RHVyY2jbi1+HXkLqRTf8dEbul64LZTMAACAASURBVEImkymVSuJ+f+uQ2ilxtl16ynhK\nqh3HcLXCA2rYe9DW1CA5BlJTI5DwyNQIi7aKDw5HD45wFC0WFPCzKkVTM8T0Ra41p5SxtPkaWrhN\nCA0A53oAUPmi2HBm7QWhsAyr/Cnj/C5uiO1DL9jBmxrh2EWI6QdTNZTKT6LyRaZmXGgUzvhKntTZ\naDstlGLVOQsAEDKjO1GYxregQgCaaevvuWiLhWXpsrP8wEmKKhsid0dTMx42Spqzw5roR+8s4d9f\n3CWmipvgNe/lelMzrm7GSIT8AsukvygETzqov8eerzs1w2XVzZicoeyseN6TXrDTpvJFpibQ663D\nH/Q2X4Ft59GHp6ylVdcVd5FBg5qxyhfF9KVLLwslVRQAQIsIACl3MzF96dg+XS2sVApc0yiWVJJe\nVvRUNQVAA0DKmOtJuQgqZzpaUMBnA8D1HOlUDVVbj/TfQtsFmJ+PAfBDo9G8J2kA0P5dWD6PAoCM\nPJHqFJAIDq2gKOq28JmvS7JWW7HNjhj6ib8yN2Vy6O8sxvuPcBVw9xAx958GCGN3M/w/DQYPHnzm\nzJk/ehS/GJWVlREREb/nO96YkSN/b+67kPJS/samXXoFbm9H/n6pL3jpPrexgXDUhBTDpFNGoAeH\nUw9mCetnOZrfEOw8jj/Rg0CLzpwewdM5IgAsehiROy9xHzc1YdLoekl8V8ZpyVRa5efYzWldMyuP\nj+mLSFhAvCRIs4OCE7ypGS+ZIiWBRfYhOylEAYCpGcf0ocj0KQAovSwUVDgelskO5C8AlF4WVX4I\niUjlj5xRGmASdSEkIpUvqm4VAWHnUeTksX0olR9lahILKgQSoiGenjocqXyBME1JlVho5Esui7F9\n6JIrApCG333pMB/kNOYhYyB2goUGkbZTT92PXNcXXK/MOdcsKOBLL+O+ntQt3uj2cGQ8AyVVcIsX\njrsLaQajzA2i7j0aAEjXhulTkP4r+95SlD6TBoCsbHviVJyV1Z6aKjeeAb3eCiKOirRlrvg1ybr/\nCIvFcu7cOYvF8u9o6ff/Bf0EetRgoOeNxw29hNTj8PtcMT+akfsdRE1cjV2/z56/qRl4u3JoUOJj\nUt1mW8YSr4yPLIfaGUxTa59Crmx0/AK8vRm/8RjCFF70pfj0eOrBEYhEUSP7wezxDlkEufNO1VBO\nynGeobRSfHObeLVVdCtHOe/XAOC2qaBCyP6GRxhhyiHqI+RUUiVmH7LH9qFVvpD9LU8ygSRMKagQ\n4qNowlUFRp5sjQ2nCw04JgI551eVXhYX7OBNDQAIq/zRVA1KGeNID5ZUiQVGvqYRCIepfFFsHypl\njMT5rznzlqXX40VTM86ZLnH9j5yk6wx04jXUjuN453HcLSl6nZMAwKmXo3k6XAFhvqAeDMXf4XlP\nUprBCADSMsWkqUgzGBnO4LRMMVkr6DbbgUIZb8nUQ6nk56ys3G4ss6pHyLR34/x/WkICbNjekbVm\nwM25Yv4NiBivubn5RjFej7rn9qjBQM8bjxt6U3b/v3BzM3K/AmyoRBtHGY2ehhK7+VK78SStvZfR\n/dOaPkdaMad97MPee0pgZD/Hzk42GhEJAGjdLHrRVvHYJbyjDLtFUSlj6ROnqJxi8an76Nljuxmj\nrd8PYb5IGeDuNVdgEEsv4yXxTEF5NxWcqQmXXsRIoGL6otLLKD6KIQJ0lS+KvYUqDWdKL2JTM14y\nVRqvcdziY/tQ8Wom+xt+0iobBpwylt47V0biHtepo4RIHPOrAGbl8SBeHyoGUwMcu4Bi+iLTNTx3\nrJSoCuG6xGNWHr+jXKxuxqRNopOcJq20u6YryfjX78ezx1Nz7nUMb/Z4BCASEeP1t0Pma2hHGZ4a\nDS/FMBQPxd9hzTCY9yQFAMXfYWUQEDYq/g4DOF7nF2Kq1QZApz4vI12mdFt4roZX34HZMCnu7Fz+\nbrtoaw7WSElH898Uf5QYrxe/KXojpB6Hm/4I8/tk5H4RzCZr5uIrJ87KgJGoh6LaDq/Ev8m4Gp6r\nxb7DZLtLYc0cVNPgykYO7DqGl2yGySNhwWPdCOaZtTg0AJ7UItfIyTWQIjGBqQkviWecab2cZAlc\nT1jFRFApY+nsg8Lag13SPhKdkGSg6ybXQ5xnIL2gCsoF53oCohowNeGpGmpJfNcjoGtAQ84cr6Gc\nWUfXk5OMYryapgTURSoAriMk+5CTHLsI6w+IriERAKw7INY0wtPjqUVbxZpG3HgV1qQ4YiDDGexM\nysH1KhHZpP27MC8Z1Zp43WZ71Ahp2lMMG4Im/tWSu8qDq7alL7EnPkxztaDf04o7OkWhkw0GXcFv\nzkZuIFc4x3GElhobG3tOENDTIpKeNh439BJSj8PNumJIGPQ7Z+R+Pswm6/K3TRWnpGygyNVh5dCg\n1Gc8dJ9Z1LfRlmCP3aUAAG5sdPwCPLMOv/EYqmnEAPB3rYOTnlmLh0c6Fk2NMDtHmDICxfRDT+eI\nroGUkwCIg5Fb+m7t12KhQRwZAUviGeecXLJpYYFgasSh/t02kSqUc7KUM2pxrnfylqkZSBFrQQGf\nMpZ2dbYmdMLVUTtf7lYec3ISALgSJCEVV04yNcJTm3juGpqlBcJnZP2Ne+44jhdtFVV+MGUE6ueB\nir/HRJsALkk5uF4lIqFS5gbReFKoq7QlPibRf82nPuuhHkZnZdvZYITbO3V5bUnJCvVwWfqrrbil\nBSMxxN/6+7ORE21tbdXV1ZWVlXa7PTY29o995HKipxFATxuPG3pTdn8q/OEZuZ8Ppcoj7Q1V1nuN\nXC0NQqf5fLPuHz6Jj0uyVloz3pWGKeDjr1Coi4N2TSM8sw6vmY1GREJNI9pVij/R48kx6O3P8QMx\naHKMYzeVP6ybRS/eIn6yD69/qltaT+WH+njTHp2ojxdOcXOlw2hXKfxluEP37Lrl2EXg6lC4PzX7\nHuS6SeWH5o6h39yKQwPwnpckrutzpjMLCviFjVBS1a2gtSSeWVDApwDERFDO5kB7npfsOI5n5wiu\nAY3KD43qQ6/X45h+4Gpa8eBwatFWcd0BkYSA6w6I6w/gp8dTdfXoGtdt5K57kknHALDoIYpoF7V/\nF3TLHG/nmpQznMHF32PdUqT7zKLfb6/pYKb/hU7M8tZ9blMPo9XDaNK9KYRqZkMlmhFeWq1H1vut\nUYNFY7mE9bdmror4+RfATQFRygBAU1MTwzAsy4aGhnZ2dvYEMV4vfgV6I6Qeh1/6CHNjRg4A/ld+\nh2aTdfnSOnNVU12Dt3aS3FhmAQ8PJPPMzVFkrrUdbpSsmYNC/aGmEd7+HM/SdgVMNY2wqxRvKIbX\nH+9iIwJSeQr1B2fYRLCrFHaX4jVzkFv04GoSse6ACNCllSAzdnek0STwcpX5kU1Pj6d2lGFXeQVc\nTxUeu4SfHo9c18P1eIvovMmEKufZnEMih9c04kUPUe98DuQTcDu5yg+OXcKh/mjRQ5TKH2oa4Zm1\n7ulNUyO89aVoasLmBrg9HK2e2xUPqQfD9KnXTV0JOYmYqxPzdkLFMYtSIWrvk+gPCol/9dCOY7ha\nnJzSkZvtxYag9MU2c2VH2vOeWe+3Jz4hy8uuBoRCQinz1fb0N/tqRv4ezqE8z/M8T2ZeAwDDMDKZ\n7EYHa1fVwx/4c+hpEUlPG48begmpx+FnXjHOvDn0yIzcz4fZZMlbe6V4T9vwO5QAYCyzIG/vxCS5\nWs1kfix2hkhfm0bl6LuxEcELq3FwMCgDurEOYaOt8xHhMCcnfaLHZRdgzRz3jNaO43j9AQcbAYCp\nEdYfEEP9HRGGyq+Lt5ycBACLtooAsH5WF3/MHu8QBx67hEmqMNQPua4nIFsldrTtVSq0m20QEC4E\ngJ3HMTGwAIBdpZCjx1vnd52B/F/HLsGCx2DyyG7rn1mLnexV0wg5erznCJ45Cf1jG97/keO/IOWi\nrFSKqxO5Wlx0FHFmoa7KDgCAsTqKSXyEUUcx+q94/Vd8xmIZAKQvtKiHUbi9XbehST1Kkfl+UNby\nVsPxDvPFBlYlrb5whVVS/yi651d89b8IJBiyWCwWi4XMvCaurD99lPNn8vs4492InkYAPW08bugl\npB6Hn7hibszI+fr69syM3C+CubqzeOc13abWuClBnJmPm+Kb//E1AGD7ehmueio0npNHwpMTumXS\nXliNlQEwYxLaVdpVTyJs5HpTJpxkboSahi42AgBTI+woE80NUN3s4BXXTYu3iKWV+Kn73OObHcfx\n+gPY1OQe+ji5akdZNw8kt7iKBFWLHqbM15AbzQDAsYt4yRegDMBrn+r2pp/osbkR3njMQas5epil\nhVB/RKK9H92T7BYbJjaf583XAChAvONnjhkK7IIywLHI1UPiI4z6Nlo9jE6e1Zr6oifxKEpO6SAV\nI+NJIf319hCmGQC4a1TmB0FAUempDWJrA2JkfGetWsN8sGHkz/mWfwXcMnI/k4RuhJvq4ff8yfQ0\nAuhp43FDbw2pp+PGjBwxRf6jx3UzoQzznD47HFB18c5a9XCP/I/5tNeD5z1Xo32AQhK+fN/V4nbl\niEhJ9PWZLRv3YgCYPw0BACkjfQJ4RH9EVHnOyCPUH954HD26BGsGgdu9W+UPUhs68C3MmOg+GArD\nqZPo9iEotq+7UjzMF0nscEc4mj3e/Wyzx1MJy8QHYqFbKcgfnh5PEU4i8ZZjaz8ouwif6LEztttV\nCjl6eEqLcvRQ0wiuwZPjH9TjsgtQ0whb5zv+wd2l3c7g3PPOdDxLC4czEACtPwj6g4Kzy+31uMfR\n+Sl9oSXxMYdjm36/jWUpwkbOihFXw+vyO0K8OpMS/Yv1Fu2DHiEhsHxZ7f3jpFyN3/Hvq+Ie8H1l\nyU1WMfxoRu6/vIe6WRCRxT/Bk9yfD7+mlX0vfgeQDHhFRUVFRUVzczMAxMTExMbG9unT53+lPvRL\nMf3psLQFqr3bq02V3PJ36jJXhep3tyU+LtUMYySV9e9+hp3tqMvPw4fPOm7EhHXKz8NzH7kXUQCg\n+Hs8qg/U1zpaWTux9yiUn4fPFyJyNifMDfD4Yvzhs+iNx9Hbm3FNY9cm56So0AD4RN8tr1DTCBuK\n4C/RqMHszmEPjkCj+lAJy8TZ47sptmdp0e5SOH4BAODtzThHj9fMQZNjYJYWvf15t5OTYtiGIgj1\n72IjAHjjcbS7FJwjJOFg+Vm8ZjZyspRuC5/4SNdDp26zLfFxh/5C/xUPAISNACBrRaezRaFusx23\ntU9/5Mr0R6/g9va8z1hWJQEAbGlJfLAiJMBWc7n++PdX5i3scxPZiPhLmc3mq1evErf4oKCg8PBw\npVJ5szqcEh6KiooKCQkhHS5IxrsXPQe9Lcx7ECwWi8lkOn/+/OnTp1taWhQKBcuy/fv3J1ERw/z5\nw1llmOeEeOXZE+YL56yIYlglte2LtkXvsvodLRPvpFYWSRWeaNU2nDOv232/vQMK9HgwC8MHgDKw\na5PhLM7bjde/Rik80buf4UfHOjbtPQp7juIPn0VyTxg+AL2eg8dEIblnFxtFDwCFJ8g90dub8eNj\nupKBW+ej0AAYqEKbD0Gov0MEePwCJK/A7yWje25D31aAuQGGD+gaw96jUHwE/KRokAoNCOsas8IT\n7rkNzd+EvzkJA1XwXjJSeAIADFIBoZkRkY6TvL0Zf3MS/nY3XLwCk0Yh1zPIPVGOHk+OQbtK4Zl1\nuKGSXzOXih7cxUZyb5TwgOOy0X1uk3ujhCkOQlqcYZnzpJQNoQAga0VnZH9ae5+Uq+EXL+s0V7a3\nX+vUPiAnHudyBTXv5WvnjWZDaSsgdMZwSbS3fbx5ZHSsiwjyV4Hn+ZaWFovFYjabOzo6pFKpTCYL\nCQnx8fGRyWS/0QVPUn8syzIMQ8R4giD8dtFST2sZ3tPG4w7858WgQYP+6CH8Z3R2dprN5suXLx86\ndOjo0aOXL1++ePFiY2PjlStX6urqOjs7/+gB/gGoudq26aML49Rf/W3i4ftijme+XWs22dOeNRXt\n6xz7nLjniOi2/0vvC+VnxJp6PO0NofyMY2v5GXHaG4Jznw17xKWfihjjsnP4sbe6nWHPv/Bjb4k1\n1/A9L4hl57qd+eNiccnn4s4SnLC02yGmBpywVDQ14GPnccJS8dj56yO/hh97q+skG/aIz68Snetr\nrnU7edk5POZF8aX3BdwdzpOTFx8XO87w/Cr34Zka8NxsMWGpmLBUzN3Gz3vL6txkrhUnPN5prnUM\n28yJEx5qM3OOxfx/WpevspDXBqN9wpSmvJyGpIer4u66mPRYtdlkxxinPWsyHO+sqe58OeVC4sMX\nc9fV3Dfy2NhbCzes+gH/d+js7CRX+JUrV2pqahobG+12+395zv9mMGfOnCE/vd/i/JcuXfotTvur\n0dPG44ZeUcMfA1d5AhEmuEmASDmXpNGDgoL+F+Vz/yXMJsuy143Gsk7GMyTxSX/NCHnWu433P6Es\nOk5/uqQr9/XyB6IyEKVPRwBgOIsz8nHWixQAPLFAfP9FpBnUFVJs3IvNDY5Mndt7LfsU7/0XrHge\nRXc3YKtphKWfYa4BNi9wP4To3+CG2bt7j8LGvfjzheiF1RigK7VI3p3UvZy7zZwAxd/jCXeiCXeg\n/3jy8vPw7mfYdfDl5+GF1Zhqtr6WSOm249QUCekvBwDpi23qoZQzX0eUcomPO4pJEx9uz3hTYiht\nBwD9fjsAaO+TaIZ7Ln+nLu31YPVwWf6GxuJdTfffj3LXVkaPCkqefUtayuX74mDG3EhlmPePf2E/\niV+nkfvd8NuJ8XqaiKCnjccNvYT0++FXaOSc1V2e550NWP//wFzdvmdbVfGOOs4sAoCqbxAl9b1v\nZnjxEUw4KXcXNpzF77/UxU9FR3DeLgwA6Und2AgAig7jzFw8b4b73d98DZ5YICoDIe4ORJqfup6t\n6DDmGiDrRUoZ2G1shrP45RV4+mT3QwBg4168aQ9MvL2LfgDA3ADvfoYnjUITRwGphxGuMl+D1BWi\nK8UCQEYeLjqC06e7D/Xdz7rUHBv34r1H4cn7MdXJ6z6zcJzIBlzvzUNR+sMo9e+Oo7harPtSeGKq\nAADGMgvXxHC1mFVY1cNlnJkHgMxVoQCw/J06AEh7PZir4ac/eoVvr2ZVMgRIsDcjxCTPjZwYHwa/\nBDdq5ACgJ+eLfgsxXk8jgJ42Hjf8+csSfywsFktzc7PVav11GjlnpzsSLZEGrD35J31zoQzznvns\nrZMS+hQV1m1cc8p0uZ6SWIpWV5tpNiMvYsId4GQmJybcgXRbRfUQdzbi6mF5jpj+JJW7C2sGIld2\nycgT338RsYEodYUYPRCcBxrO4rxd+NMlVNER7MYZJBT7dAnldggAmK9BxSkc7gMPxHQbgDIA5k9D\nL6zGe44CuEROhAgz8jAJ8szXICNPVAYicnI3Qpo5Eb2wGpMamDKAhHrIaETcVdveoiDSOM5otOfn\ntt5/u4eh3DGxSV/Uro3zBEBAWqrXWIqKbgEAQjx5X9wCAMYyi7HMkrEyODe7Mm/91ejYIM3IiNy1\nl4ODrRPjw2c8M+jnf2skDHLVyIWHh/9PVEBv7AfYY41O/qzojZB+E9wYDN2UPABRIlkslv9XtERA\noqW8dVcQJQUAuKUvCu/7/svuxDNvKc8GI3MTcjUjABe7NhJCOdnl5Q9EZ8bMdZOTcshuGXmYDQQS\nDLlucjsboZMJdyJlALge3rU1H3O1+NOl7utTV4jpSQ5SnD7ZMZ6MPAwAhKiceE+Hyy7Aq090ZRfT\n5zUnJnk5m5bm5/5fe+ce18SZ9v07Bw4CYkFgIqG77na1q22DrR+hq219pAXdrW/3g2+7pY+g69ut\na1dpq0AeZPt0q8/blgVST1Rdaw8IPfi0K7Wuu5Vs2Ud6clO31ViqPbyKhSgDoYRDQk6Tef+4cRwS\nhBAyk3uS6/uHn0wmmRnGyfzu65rffV0DxlMOroV2/cu99GV36e+HWxOtur8dJ+UQQmXFl4v+TxJ+\nver+dsbec7ndghBKU8nmzU/U/81W9JtUP6WI8IxcAOChZFdXl91un0ybWtIiEtKOxwsJDFukgq8I\nBX2ug1KpTElJwT9+3Bc8ISFBEmPPyTMcLa340bHDnS/tOKmkoxTRU42tSZmzr877qW9kEEKljyho\nM6p+xXP6K5br6JO3cLh46NLbh3tva1fJNm3zZM6+mhbjVi29HXHPojCr7pVVHfCcnoUQGqE0S2+X\nHfuErTvKrr4Xf9ez+t5hjcychfD7+JN47bxZMqMLcQc2/KdNR9oiWVU9ixDLzzQO7/TrqxFY1QFW\n/yHz2v+VU2lXrHT1NsRroU13Mg11AwdeH757Gj+36/86eODt6/FiWfHl3F8kYAWqf7kXIZRGobo9\nbcf+YpYrYjW3xl5uR4zT4nEpqRnT3/980dj/I6POWlWpVH78Z0oALKgURdE0DZXxRIOUCMlut7e3\nt1MUlZg4Sjksp9PpcDi4xYSEBJnMO3HviwgRkm9GDolVR45zPcTGxuJ7gQg7JYROk/XIW+eb3rPE\n/uTWsvXxmjkyhJDxLFvzInPg+WF5ps2opJrRlSmqX/FQ04fLVw9/vQdVHRhOZ/GfP+FV1XWezh6k\nXe0de+HACCE0StxzwLP0Z7Jjn7CcGiFe3JM5W4YfU2GThVevB0zTR2zNS0zeQlnpb0a8jx9iPb9R\njvdy5pRrdS5TWBg3/DfSzOpVvXUHkrhG2mUbzUWrp3KNw/kxkPFze/3LvdW7ZnResp/+1+Dzfxxw\nDVzEH/O4B5fep9L/dTA11bnsl+lrim8e4+RzwZDb7cYZuUgYFY3RD3BsSItISDseL4i4jI4cObJ1\n69b09PSOjo6CgoKysjKvD+zYsePgwYPcRdDY2JiaKkh3ZD/xDYZuueUWkXPNSqUS2xwGBwe5iYTh\nLUvckNzusvz8/qQlP087d66/5sXY6goF3Y3KnnNXb756PVMpaNV98sJyJvNGGV+NEEKq6ejWmeyB\nI6yuTOG1CxnLfnGKoVJkqmSfVQxSWD1Y/Ly2Nu8nsuqXPLoyOV/DVNPRqntlVfWs7gkZ3/KXeeNw\nU3DuqKpf9tA9qL5KUfYsQ5tZKuXqRnAEhj0O6e7+GY6h+r32pneUmltjM2+dov8HU1gYx6mR/pgN\nIcSpUf3LvZRKqbk1tvOSHSFUVnz55rmOjQ/Tp09aZHLl6nUzqRk//eN/nmOcvazHiVjP78rSbv+3\nxFGNM74Zueuuuy68LzYvfPsB/uAHP4ioMyAOoRcki8Xy5JNP7tu3Lzs7u7u7e/ny5YsWLVq4cCH/\nM+fOndu+ffsdd9wRqoNEomTkAoCTJbvdbrFYws+M51VIBs+X5IZ4P7kR/WA2W/YsgxCq3qz0UgtV\nEpsez6iu85YW41lW/wGrXSPnR1QIIdrMlj3LVG9W0ma2Zh9TXaHkf6XmRaYoX17f6DGeZfk7os3s\nmTNM+lRkbPXw84cIoaW3y5o+ZgvLmedHatWq++Ql1QxO3JVWexBCuDVR7p2y+kZP6SMjNnLrj9Cx\nE57Vi51/f2sAJ9/oy27j5/b6l3qQMupUi+XYn6MQQtSMqDPnlPcs8VQ9fQF/8e9N7pRpPTmZrXhx\n2YqZVFrsqZN2lmUYe+9fDlq6u6PTKLTsl7O4kAg/pOSywWGckQsMvusB2tQKQegFyWAwqFSq7Oxs\nhFBqampOTk5LS4uvIP30pz/t6OgQOQiw2+0Oh6Ovrw9n5LBLm8A6cuFnxvMdkl/rv14zR5Z3h0z/\nD7dmzoiL2filR7fHVfK7qPpGT30jU5Q/fJfH0lJdoaBSZJ1mtuZFhhOAmn1M6SMKzRwZbUZNHyDu\nW/greBWVIhuZGGRr9jFF+QoqFZU9y+TdOSK+MZ5luzs86VORamRNAxy91b/L1iOWn07Mu1Ne9izD\nF7yaFxm6m22oVK6638wZE6gZyrTLMpZx1v/5hwil05ddnZcc1Vu+W1kwjUqPQwidPmk5ddJSUp5B\npacihDY9fEq7dRbrcTb9pe+UoYtx9s7LSrs1K9U3NYfHNxaLhabps2fPJicnT58+XSoeOdHwNeNN\nxvUAjCC083JZlj1w4MDq1au5xe3bt2/cuJH/AbPZfNNNN917771Lliy5+eabd+7c6eeWA67UMDQ0\ndPHiRaPRyFVPsFgsgW0qJLhcru7u7vb29t7e3lAfywRwuVy9vb2XL1++cOECPnj/C1XUv+Wq2e3k\nFnGdgtOtDMuynd2e0mdcp7/04Nd5RU78mlvV1MKwLMu94FYVbXR1dnu8vsKybPU+d/U+t9eWWZZt\namFKn7laceD0l56ija7TX3qaWhj8eT6nznqKNrmq/+RdoaCphSna6OI2jr9YuuHSgZe+v3psl5y5\nWa2n/jWIFy+b7JseOXvqZD9e/PzT3oeWffK3dzo++yf93uHL/3bL339197E7Z7/5wJIjr7zw7V8P\nnfc9e6OeefxmJFcM8QdcacVoNF6r1gNplRFIOx4vQjDw6e/vb29vx6/T09PdbrdCcTVHoVQqXS4X\n//N9fX3Lli3TarVpaWmtra0rV66cP3++Vwg1ecjMyAWGhMx4wXJq5S5W6Pa4uFqiuj2uqqeicdkC\nKkVWlK/AYU3NPoaf2aNSZKVrFWXPMk0feKhUWe6dVx81USmyonw5fqjjlQwsypfX7GP0H3iaPvAU\n5Su4Vbl3yps+8Og/8OTeKefHYbQZNX0wItFHm1nts+7S3yga3nJ5ZSnwRuobGf0H7OXTF9PirKWf\nJ9I0u3L1cOVT+rKr9NG26j0/zLwtHiHUeclR/fSFVb9VUyrlKYP59L8GXt1zPu8XU5/VfogQSv/B\n9FWPqBBCa4rzfM88NiaMceb5Dykj0DvjD5wZD+dRPv30UzDjTYYQuOyam5ufe+45/Prxxx/v7+8/\nevToa6+9ht+pqanp7Oysqam51te1Wq1Kpdq0adO4OxrXZcdl5HDR32nTpuFgfAJ/DPGQacazXyGI\nTi26m9XtcRXer2x4282vmoOpb2QadGZ4UAAAIABJREFU/syU/lbJVx2M9r9cxi89770R47tB7X+5\nNHNlJeuivFYZz7Jlz7iqfx/l9dQKP4XCj5r4T6f4DkDjWRb7LzRzZLo9LoRQyaMjtq9vYeoPMaW/\njWKt/X986muZXKm5dUrnJfvpkxZVeqxMEeNh7BQ1vN+uLhnrcV1u70MIqdRTVOp4LFTzstNuzUrz\nPUv8XCi+mfpz5rF6WSwWdEWlxv58xOJrxiPN1Uba8XgRglFzTk5OTk4Ot3j8+PG2tjZu8cKFC7Nm\nzeJ/3mAwWCyWvLzhIZ7H42EYxnez5eXlarXan/LevsFQGM/H9jLjhVCWhHZqUamykkejVm9w+KoR\nQujM5y6Zi6VpuVfLlYa33Yhlc++Se3VqQAjp9rgK/7dCf5wxfunhasQNf+stV94imf5/3Jo5I7SE\nSpFl3ohq/uQ+1hDNf18zR6aZI6t5kcm7Q17z4tUorfB+pW6Pi799/XGm4W136aNRHmtf1X+eW3qf\naul9qZdN1tOfWi63f3/pux7siGOZJFV63LwFyfOypiOE5i0YWddoJJM/81wIhd0lYfCQUiB8zXj8\n+SrAuIQ+jbNgwQKHw/Hmm28WFBS0trYeP3587dq1CKHXX3/9xhtvnD9/vt1u37Jly9y5czMyMr79\n9tvm5ub9+/f7bqe4uHjXrl05OTn5+fkrVqxQq0fU3cKXCP5X6hm5AOCb8bBHXJxxrm9GLiEhQTin\nFpUqK1mnbPhvJ0Ij9EBX60AI1dXG+t79jV96qp6KxtEVf5V2qzN3sSJ3sYJKlen2uOp2XY2f8CrN\nXLl2q9NLq/THGeMXTOZsma+GFeXLy55xG7/0lK7l5QxTZTjZiLev2+M69ldzsuPsy9Xxp/81mJbG\nHH3L/NJ2K0Ky9B+mUDOilv6vNFVG/M/zfzTuqfAnIzdRuP9Bt9ttNptxNhhkyZfY2Nj09PTo6OiO\njg5+zbBQH5cEIGJibHNzc0VFhVwuHxgYWL9+/bp16xBCt99++4MPPrhx40aE0M6dO+vq6pKTk61W\n62OPPVZQUHCtTZlMpkOHDjU2NmZlZTU2NhoMhvDOyAUAv2CrEDeUUTt+innbajjoNLZ6qrbG+i7S\n3ax2q7PqqWgqVYZteJzS8FdxajS8hbfddDeLE2v8VV5b0B9ncHtWvCm+huG1DW+5EOOp2xPndcB4\nm/rjDJUqW3mfu9NkRQixyIMQmqGORwj5X2BbzBI+/EJWxD6kFJNRH4gihHDBVkSGGY/wlB0RgoQQ\nYlnWbDYnJSVd67J2u929vb1jz4fFamQymRobG3GENHPmzEceeWTu3LkwPPEFj3ODJUtEVTNrOOik\nu9mSDTHGVqbhoIsTJ3QlJ1byaBQ2PlCpVx8CNbztNn7pQQh5Jf2wwJQ8GtXwtpsvVIinVZwaeb3P\n33LVU9FebSAwxlaPdouj8FdRvplGfwjtmSfzIaVo+Dn84lfGC63rAQRJDEwmU05OjlqtzsrK4p4k\n8aOlFStWZGVlhfowSWQy41yiRIgP3cXqah1UmszYyvhGJLrdTn2zq2rrFK+sGt3Nan9vQwqZ71fo\nbnb1o7bCB6MLH4jy/spWp2aunO5mOTVCPIeFZq5ct8fFraW7WO0fhqq2TOGK0RlbGe1T9qqtsZqb\nvCfwjgF3HySkswO+EvCzpUiQpYCvfLvd/s0334RQlkCQxMBkMplMplElh5MlhFBlZSXI0qj4P871\nfTiBiGxyQ3ex2idthQXRuTkjJMR4xq3bPoQQyr07qvDfR/yZ2gorlSanuzyFD8VoblGOuqrqWe/s\nmW77kP5/3O+9M9XrfZzQo1Jl2G3Bva//h1v/DzcO2vT/cDf8t7NkQ4yfakTsCADD7yoZfma8UTNy\ngZ38gCvjTR4QJCIwmUwGgwEn9IqLi/Pz80N9RCQyhiwJYdQWGrrLo91sLXliCqcuWI1KnphCUXLd\n9iG+8GDJKXliCv5W1XPxVJocb0S3fSj37ijNLUrd9iHNzQq+jOm2D9FdHs3NCrqLLXliivfenxxC\nCNXtix/5PqurdeQuUdJdHv6zrmtBuAj5IvRDSjER9IGoEP0Ax4VwQVI8/fTToT4GMUhMTJwzZ86K\nFSsSExMPHTpUW1vb39+P6xUBHHK5PDY2Ni4uDgdA33//vdVqtdlsZrPZbrdHR0cnJCQkJyfje6Jc\n7j2hhzQS4mULfxa19Rnbwp9FJcTLODXS3KJMiJdpblFyqzg1wt+yWtl33nXm3h3NqVHu3dH4K++8\n66TS5BQlRwhpK6wJ8bI//D6OouS4EfgNPx4OdLCq5eYorYMs/328fSpVtrVyCMnk11Ijt9vtdDoH\nBwc7OzttNptcLo+OjlapVImJibian9CnbjLgo01ISIiOjsZ5PI/HQ7KC+uJ2u/v7+/FPAF/5iYmJ\n3JUfrL0olcpp06ZNnz4dtwuwWq1Y8IK1/VGxWCwkDxEiJULywmQy7dq1y2Aw5Ofn+zN1KXLg8hJm\ns5lhGJlM5nK51Go1yRfx2Ojfdza87ih5YgqnRl6rKErOqRGHbvsQlSYzfsF4pe+wqtW9NFVbYeVH\nS/y4ynjGra2wVj0br7lF6RVvcZ/MvSe68CHvqbiSC4b8QSpmPN+MHJeRFgHsevjuu++QwGY8wiMk\nQgVpcHCwt7f3+uuv594Zu2FSYHCPl0aduhQ5jJqX4O4dwTXjhYSG1+0NDbaqPyZ6PRmiaUb7HwMI\nobpXvf8uo9Gt1fYVFsYVFk7xWqXbZtP/3VmyKS737hFmOSxvhf8eg/WP25f+faf+fRd++MSP0vBa\nfB/E/4aNCPnCzwZfd9115MiSb8P1EKqmCGY8EKRAqKystFgslZWVeHHchkmTIWLNeBMaj0tlnHst\nGuptNM2UlF61HtA0g5t/050ehFBh0VVnndHo0tUMFBbF6Zsc/O7geJW2rI+i5Lm5sfyvYFb/2oJk\nsrpXvB8G4HAKIaR/31X1XPz0ZI9vTw2Jiv2EIMQjTn4kync9BFeWQJAmxo4dO06cOPHZZ5/l5+dj\nQbJYLIsXL+Y3TNq2bVvQi6tGiBlvkj9FYse5/sDXJKwrVdXTNJoommZ0NYMaTRQWmIZ6m15vr6qe\nRlEKLFr4NUJIr7c31NtKSqdSlFxXM5ibF5ObeyVlRzO6mkGKktO0h9sUh9Ho1m4emHuT/KkKluT7\noDiExIznm5FDRLpD+XCuhyCa8QgXJOJMDQqF4rbbbsN3unvuuQch1NLScubMmfLycoRQfHz8+fPn\naZoOerO+xMTE7Ozse+65JyMjo66urra2FvsggruXkOB2u202m81mw0/Io6OjlUplYE/I+a6Hrq4u\nt9stl8ulIkuazKjz/4/R6+1WK/unvdY/PJ2IQ5+EBLkmM+qdRjtNexoabDTt2b0nKSFBjlclJMh0\nNYP5+VN0NQNGo3v3niSKUuCvNNQPUSoFRSmMRtf631kKi+IKi+LxpvD7eL9Y/Jb/wrHm1w78tD8l\nJUUS9gSB4K4ipVIptOsBh6Fms3lwcNDj8eBC+LiUH/lDAc71YLVaz58/HxTXA5gaAmHv3r1tbW04\nQqqvr3///fdfffVVvGrHjh0XL158/vnnBT2AxsZG7BGXruvBt65zcH+EEp10ggOgugPJXu9zuTjf\nVbqaAb3ekZsbw8/4oStJv9zcWL3eXlI6lcvscXEV3p3R6Fq/oS89PUq6D+EEBV9FQXxISX5GLgC4\naAnXPwvYI054hCSBAdq4DZOEID8/Pz8/H5vxcMFWSciS0BW1+fALtkqoAjROpq1e9T2XiENXVKqk\nNEHf5Giot/ETblhRcnO9HXEYilI0NNjeO5bi9WZhUZy2rA8hlJsbW3dgKkLJ/O7g5J8lMeEKtvK7\np080dgxWYy1iib3Sphab8ex2OwmV8YKOBAQpJibGbrdzi0NDQzExo98dgo5ara6srMSPl65VRzzk\nhPan6NU9XRI3XKw3XBCjqxlECOHASKOJ0tUMYk3Cj4W4VQ31ttWrvufiJ6xhubmxGk2Ul7zRNGM8\n7UII8cMmCXVNDAn889PZ2ennQ0puBMbN1w7vhus41KMoiqbprq6u7777Lsz6AUrgf06tVo/dMEmE\nAyguLl6xYsWhQ4eKiopIMOONatQO7U8xKONc0SgsitNkRmnL+ujL7ipdEicbFKUoKU3Q1Qzoqt3G\nM26+lY4LrUpKp+pqBjSaKE6cKJWc8z401NsaGmyFhXF1B7yLCaGR7anwbTcSKr/5jz/nR8w0ALFQ\nFEVRFDbjhVObWuJMDZiTJ09aLBZsakhLS9u/f39iYuLNN9/c2tpaU1NTUlIifjDOuR5MJlNtbe3Z\ns2cTExNFjpbGnkBOQukEuVweFxcXFxfndDq///57p9MZHR1NwoH5QlGKhT+L/vhDW3y8LHPelSYU\nnUzTMZv+b9bBQQZ5POt+l4jdDVe+Im96z9b458F1v0ssLLpaEOiGG5QJCTJd9cA779itVraqetrC\nhWMF8V4VMWw2m1KpJFa8xcfr/PT398vlcpvNZrfbJ2/MCSeUSuX06dOx6+Hrr79mGCYmJmbsswGm\nhkDgmxrQNRomhRBcGW/Xrl0IIaEr40n3CS0hk07GZliBjtlKtdedPu1sqBsoXD01b2kcpVLU1w3o\nj9lyl8YVrZ5qPOWoqbIghHKXxmVmRtfXDWjmxRStnsrfAkKy6m3TucSdn/Arv0nIGyIOWJAsFktv\nb69CoUhLS1OpVBErP2PjZ2U8wk0NhAqSL+M2TBIffsHW4LoepFJR2x/4ZryUlBRiZanmj73G087q\n56dr5l0NboynHGWbeiiVgu5kSv/jutylcfzPI4Q082Ia6gawaFGqiUmRF0E3m0mUa43A4Pz4AydL\nCKHZs2f7yhIIUvhjMpnKy8snL0tCG7VDCPlxgKnD8fFHPY1/ZpVKZd6y+M7Lbv0xG6VSYBHSH7Np\nMmPylk6hVErjaUdnJ9NQN4DX4nAqWIfBr4gRObdd/0dgkXl+Jgq/BJGXGQ8EKVLgF2z134wn3Yxc\nYBA1zvU1KPZZor7+SqbXO4xnGIqSazRROAVnNDqNp50IyVi3S5MZrZkXE1wdGvXABgcHCfeGTBLf\nEZiff2yEnJ/Jg814/Mp4IEiRhT+V8aRYxSS4hHac6089TZpmEEJGowshRHd6KJWcohQUJZ/oI6LJ\nIImHcBMliCOwsDw/QsCvjGe322fPnh3qI7omIEiC4CtLY1fUjkzEHOdKNxKVxEO4sRH0mSh3frBl\nXIrnRwRMJtMbb7zR0tJisVgeeOABYqf5gyAJCL9g65o1a5YsWSKh+6BoCDfODadIlPyHcL6IOQjA\n58disSBJFbISFHz/MZlMjY2NarU6Pz8/OztbrVaT3HMHBEkQfC8Fg8Eg6cp4QhPEcS4/pAi/SJSo\nh3C+hDYSDafu6YFhMplMJtM///lPPA7OysrC8/p9P8alcLjZNSQAghR8TCYTLujgdSkEy4wXxgQ8\nzpVuRi4wiGpPxaWjyYlEI82MhwXGYDAYDAYuGBq3mgxWL6Ja7YAgiU1gZrxIw584IJwycoER2vZU\n5A8CwtuMN2pGjih1CQAQpNDAD5mLi4tBlkZl1HGubz3N8LvXTAgxzWbki5Av4WTG8zMjJ11AkEIJ\nlqXa2locLUl9dCMQWJa6urqUSiWuciaJ+6DICNeeyisjFyvNhuuSlqXAMnJSBAQp9PDNeEJXxpMQ\nXl7h2NhYq9WqUCikeEMRjSA+1ZdiMDQuEjLjhWVGblxAkCaM0+l0OBzcYkJCgkwmm/xmhauMJy3G\nnr0v6XGumODb7kRlCZ9e/G/YiJAvxJrxiMrIDQ4O9vb2Xn/99dw7dru9vb2doqjExESBdgqCNGGq\nq6sPHjzI/UobGxtTU1ODuP0w6J4+USY6GJfQODe0+GPG85qyLdGMXGC43W6z2RxyWSIzI1dZWWmx\nWDhT+JEjR7Zu3Zqent7R0VFQUFBWVibETkGQJszDDz+8Zs2aO+64Q9C9hL0Zb/Kz94kd55LGqGFl\nWGbkAiMkHnoyRQizY8eOEydOfPbZZ/n5+ViQLBbL4sWL9+3bl52d3d3dvXz58m3bti1cuDDouwZB\nmjCLFi06fPiw3W4XoY5L+JnxfO+Dk78FEDLOJRx827106VJsbCzLsvHx8ZEsQr6I4KHnMnK1tbVq\ntZpYj9ynn37qcDiOHj3KsiwWpKamJp1Od+zYMfyBzZs3T5s2rby8POi7jlyzbGD09PT09fX9+te/\nttls3d3da9euFfR6IrB7egAI3XMaNw+VSvd0kfHKyCUnJzMMo1Ao0JUyFqE+QFLgd0/nrqKgnB/f\nYKi+vp7kX/GCBQsQQl988UVbWxt+h6bpGTNmcB9QqVQXL14UYtfwo50YfX19y5Yt02q1aWlpra2t\nK1eunD9/vhChKx++LOFRSWVlJckXNBotIxcbGyto43mlUpmSkoLFr7OzM8JdD76DAH5Az0mUxWKB\nsJIPX5bMZjMK9CGlrwgVFxcT/psdA7fbjQcxGKVS6XK5hNgRCNLE+PGPf1xTU4Nf33TTTXl5eSdO\nnBBakDCcLOHu6SaTiUCPuO99UKVSiakK/BtKZ2dnEMe55ONbuuJakSiXLMXZThwQgCxxcFfRhGTb\nNyOXlZVVX18vzjELSkxMjN1u5xaHhoZiYmLG+HzAgCBNDIPBYLFY8vLy8KLH42EYRswDwKOt/Px8\nbMbbtWtXyM14QmfkAiBY41zyGbWtif8d2CDbOQacbGNL57VkW3IZuQBQq9Vc+g4hdOHChVmzZgmx\nI7jyJobdbt+yZcvcuXMzMjK+/fbb5ubm/fv3h+RIsCxhM15OTo7IsuQ7e1/ojFwABDbOlQRjZ+Qm\nCmQ7xwZf23zZ7uvre/fdd8MmIzcuCxYscDgcb775ZkFBQWtr6/Hjx9euXSvEjsBlN2F27txZV1eX\nnJxstVofe+yxgoKCUB/RVTOe0B5xSXuFA5srSg6+GTnOLh/0vcDUY1/w1PW2tra9e/eq1WqTyYQQ\nCr9giGPv3r1tbW3cPKTm5uaKigq5XD4wMLB+/fp169YJsVMQpEBwu929vb3BnQ87efzpnh4AkhYh\nX4hq3DAuoWo0DFOPOa41YYhf8Yt8k1FQYFnWbDYnJSUJd/mBIIUb3O8EmyAC+52E/ez90DZuGBdC\nBgERO/XY/1mrXMUvPFNQ/EMNM0CQwhP8O9m1axeaSMFWQu6DokFUekqcjFxgREK/O/yT6ejowB45\n/JMBjREZEKQwZ9zKeBFST3MMhGvc4A9Y/iXRcD0s+92RXMInAgFBigj4lfGKi4vDPiMXAGKmpyQd\niRIVVgYGiBCxgCBFEAaDARd6yM3NzcvLu+GGGyR0HxQNf7qnB0CYNVznZAkPZci/iiAjJwlAkMIf\n/CSJ+x1mZ2fjhisSrYwnDsEy4/HzgYRn5AKAH1aSacaDYEhagCCFP+Xl5b5FhQXyiIcZgZnxJJ2R\nCwyBwsrAIESEBOrkGd6AIEU0gZnxIg1/npqEWUYuMEJoxiMwIyd0J8+wBAQJgO7pfsFPvnF1erhg\nyO12h19GLjDENOPxgyFczJScbpbidPIMM0CQgKuYTKby8nKQpTHAd1uapm02W3R09LRp0yIhIxcA\nwpnxCMnIjYuYnTzDBhAkwJuw754eAL7tnaxWq0KhIOSpCbGMGlYGAIEZubHp6elZvHjxzJkzxenk\nGTaAIEkeu93e3t5OUVRiYmIQNwuuBzTSnoDDIK8cVCSUMJg8AZvxSM7Ijc358+d3797N7+S5e/du\ncRqnSRoQJGlz5MiRrVu3pqend3R0FBQUlJWVBXf7+I5QW1uLo6VIkKUAPHJhWcJACPwx40klIzch\ntFqtSqXatGlTqA+EdECQJIzFYlm8ePG+ffuys7O7u7uXL1++bds2IUZh/MLGYWnG883IoYl75MKg\nhIE4+M7xklxGbly8OnmWlpZSFBX08WL4AUM5CWMwGFQqVXZ2NkIoNTU1JyenpaVFCEHid08npE1t\nUPANhjIyMgKOb7za1EqlhIH4cP0Av/rqqxdffLGnp4fLyDU3N0siIzcu5HTylBYgSBKGpukZM2Zw\niyqV6uLFi8Ltjuuejqcuid+mNigI3XCd36Y2vLunB4ZvRq6np0etVq9YsSKcIu+77rrrwQcf/OUv\nf4k7eWq12ttuuy3UByUBIGUnYV555ZUPP/zwpZdewosvvPDCuXPn8CxXEZCQGS8oGbmA90tOCYNQ\ngUUI8epXoZEZuXFr0ksUMjt5kgxESBImJibGbrdzi0NDQzExMaLtXa1WV1ZW4ntNUVERblBGlCz5\nBkMqlUrMHBreaUJCAtbCjo6OiJIlLhgymUxqtXqMjByOvPEQR/zjFA6lUglqNCEgQpIwx48fr6io\n+Oijj/Di+vXrZ82a9cQTT4h/JOR4xEmuIxcJZryw9MgBogGCJGFsNttdd91VWlpaUFDQ2tr64IMP\nvvbaa5mZmaE6nlCZ8bj2TjgjR3h7p/Az442bkQMAPwFBkjbNzc0VFRVyuXxgYGD9+vXr1q0L9RGJ\nVxmP5GBoXMJAlnwzcoQ/SgTIBwRJ8rAsazabk5KSSEsBCfGkWtIi5AsX2CGJmPEgIwcICggSICyT\nN+OFfcN1ws14kJEDRAMECRADvuvBTzNemAVD/uB2u81mMyGyZDAYcGdhhFDIM3ICFWwESAMECRCP\ncc14WITwvxEiQr4Eq3t6AJCZkRO6YCNADiBIgNjwzXiVlZUURVEUFcYZucAIrHt6ABCekROtYCNA\nAmQ9BgciAVwnxmQyNTY2FhUVURRVVFT0wAMPQB8zPvzKeHhGbXDNeL4ZOTLryIlWsBEgARAkQFR2\n7drFjcQrKyvz8/OxGe+NN94Is7IxQcGrYCuanBnPNyNXWVkZ8ozc2IhcsBEILSBIgKhkZGR4jcT5\nZWMkWrBVaPgFWwcHBy0Wi/+uB9+MXFZWVn19vcCHHDTcbrdCoeAWlUqly+UK4fEAggKCBIjKtco3\n8CvjYVmCWZZecJXx8NSlsSvjSSUjNy6hLdgIiAwIEkAQXOMlrmBrhLSpnRCxsbEqlYpfsJVrcye5\njNy4qNXqtrY2bvHChQuzZs0K3eEAwgIuO4BQODMeVimp31gF4uLFi6+//jpC6NVXX0UIbdiwAZHk\nkZs8pBVsBAQFBAkIGk6n0+FwcIsJCQkymWyS28SV8XBXgrDsnh4AJpPJZDJ5ZeSys7NxeBR+2U4C\nCzYCAgGCBASN6urqgwcPctbkxsbGYDWDEa1gK8n4M2uVCyvDTLyJLdgIBBcQJCBoPPzww2vWrLnj\njjuE2wW/Ml4kyJKvRy4jI2NcpTGZTAihcAqSgAgBBAkIGosWLTp8+LDdbhd6iisXB4RfegpdIyMX\nfn8mAPgCggQEh56ensWLF8+cOdNms3V3d69du1boCIacNrVBgcw6cgAgJiBIQID09/e3t7fj1+np\n6b29vbt379ZqtWlpaa2trStXrty9e7cIJV4kLUuBZeQAIFwBQQICpLm5+bnnnsOvH3/88eXLl/PX\narValUq1adMmcQ5GQmY8yMgBwLUAQQKCg8FgsFgseXl5eLG0tJSiKJE7BZBsxiMtIyeERx8AJgkI\nEhAcWlpaNm/efPDgwYyMjG+//fZXv/rV/v37b7vttpAcjMlkKi8vD7kskZyRE86jDwABA4IEBI2d\nO3fW1dUlJydbrdbHHnusoKAgtMcz+e7pge3UNyNHVKyGEcGjDwATBQQJCCZut7u3t5eosXYA3dMD\n3gs5GblxEc2jDwD+A4IERARYMGpra3G0FBSp8M3IES5CHOJ79AHAH0CQgAiC3z09MDOeVDJyXhDi\n0QeAsQFBAiKOAMx4ksvIeUGURx8ArgUIEhC54KlL15Il6WbkxoUEjz4A+AKlc4HIBTfz5ndPz87O\nRgh5ZeS++uqrUB9pkLHb7Vu2bJk7dy726Dc3N+/fvz/UBwUAECEBkY1XLg5dKZVdWVlJyIQhgSDN\now8ACAQJiGSKiopwvo4/X1UIPx6ZEOjRByIcECQAGAXOj1dZWRnGmgQARAGCBADXxGQyQc1TABAN\nECQAAACACOShPgAAAAAAQAgECQgbBgcHuWIEGLvd/s033/T394fqkAAAmBAgSECYUFtb+8ILL3CL\nR44cufPOO0tLS5csWVJdXR3CAwMAwE9AkADJs2PHjoceeuiVV17h3rFYLE8++WRtbe3hw4ffe++9\nt99+++OPPxb0GCA+A4DJA4IESJ6FCxeuX79+xYoV3DsGg0GlUuGyC6mpqTk5OS0tLYIeA8RnADB5\noHQQIHkWLFiAEPriiy/a2trwOzRNz5gxg/uASqW6ePGiQHvfsWPHiRMnPvvsM25qLY7P9u3bl52d\n3d3dvXz58kWLFkEtbQAYFxAkQGJ4dVJISkry/Yzb7VYoFNyiUql0uVwCHc/ChQvnz59/9OhRbgbF\nqPEZCBIAjAsIEiAxTp48OUYnBUxMTIzdbucWh4aGYmJiBDqe0MZnABBOgCABEiMnJycnJ2fsz6jV\nak4eEEIXLlyYNWtWUPZOWnwGAOEEmBqAMGTBggUOh+PNN99ECLW2th4/fnzJkiVB2fLJkyefuMJH\nH3006mfEjM8AIJyACAkIQ+Li4qqqqioqKnbu3DkwMLBhw4bMzMygbDm08RkAhDcgSECYsG7dOv5i\nTk7OJ598Yjabk5KSlEpRr3MuPisoKMDx2dq1a8U8AACQKCBIQNgik8lC0uxHuPgMAMIbqPYNAILA\nsmxI4jMAkC4gSAAAAAARgMsOAAAAIAIQJAAAAIAIQJAAAAAAIgBBAgAAAIgABAkAAAAgAhAkAAAA\ngAhAkAAAAAAiAEECAAAAiAAECQAAACACECQAAACACECQAAAAACIAQQIAAACIAAQJAAAAIAIQJAAA\nAIAIQJAAAAAAIgBBAgAAAIgABAkAAAAgAhAkAAAAgAhAkAAAAAAiAEECAAAAiAAEC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%plot inline\n", "mesh(tx, ty, tz);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The \"%plot native\" magic will plot in an external window as the original MATLAB's interface, which allows you to rotate, zoom in/out (not shown on the webpage)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%plot native\n", "mesh(tx, ty, tz);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can still use \"close all\" to close the window that was opened by cell above." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "close all" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"?%plot\" will show more plotting options including how to control the figure size (not shown on the webpage)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "?%plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## User-defined functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For Python programmers it is so common to define a custom function inside a notebook and reuse it over and over again. \n", "\n", "A ridiculous design of MATLAB is the function has to be in a separate file, with the function name being the file name. [Local functions are allowed since R2016b](https://www.mathworks.com/help/matlab/matlab_prog/local-functions-in-scripts.html), but it has many restrictions and doesn't work in either Jupyter Notebook or MATLAB's own Live Script." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inline functions\n", "\n", "By default, matlab only allows **inline functions** within a script. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "f=@(x) x^3+x-1;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can easily find the root of such a function." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", " Func-count x f(x) Procedure\n", " 2 1 1 initial\n", " 3 0.5 -0.375 bisection\n", " 4 0.636364 -0.105935 interpolation\n", " 5 0.68491 0.00620153 interpolation\n", " 6 0.682225 -0.000246683 interpolation\n", " 7 0.682328 -5.43508e-07 interpolation\n", " 8 0.682328 1.50102e-13 interpolation\n", " 9 0.682328 0 interpolation\n", " \n", "Zero found in the interval [0, 1]\n", "ans =\n", " 0.6823\n" ] } ], "source": [ "fzero(f,[0 1],optimset('Display','iter'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Standard functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But inline functions must only contain a single statement, too limited in most cases.\n", "\n", "If you try to define a standard function, it will fail:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0;31mError: Function definitions are not permitted in this context.\n", "\u001b[0m" ] } ], "source": [ "function p = multi_line_func(a,b)\n", " a = a+1;\n", " b = b+1;\n", " p = a+b;\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fortunately, Jupyter's \"%%file\" magic allows us to write a code cell to a file." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Created file '/Users/zhuangjw/Research/Computing/personal_web/matlab_code/multi_line_func.m'.\n" ] } ], "source": [ "%%file multi_line_func.m\n", "\n", "function p = multi_line_func(a,b)\n", " % in-file comments can be added like this\n", " a = a+1;\n", " b = b+1;\n", " p = a+b;\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output file and this Notebook will be in the same directory, so you can call it directly, as if this function is defined inside the notebook." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ans =\n", " 4\n" ] } ], "source": [ "multi_line_func(1,1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By doing this, you get Python-like working environment -- create a function, test it with several input parameters, go back to edit the function and test it again. This [REPL](https://en.wikipedia.org/wiki/Read–eval–print_loop) workflow will greatly speed-up your prototyping.\n", "\n", "It might take 1~2 seconds for a function cell to take effect, because we are writting files to disk. But you **don't** need to restart the kernel to activate any modifications to your function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**warning:** you should avoid adding a MATLAB comment (start with %) at the beginning of a cell, because it might be interpreted as Jupyter magic and thus confuse the kernel." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Markdown cells" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Markdown cells are a great way to add descriptions to your codes. Here are examples stolen from the official document. See [Jupyter notebook's document](http://jupyter-notebook.readthedocs.io/en/latest/examples/Notebook/Working%20With%20Markdown%20Cells.html) for details." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Latex equations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How to write an inline eqution: `$e^{i\\pi} + 1 = 0$`\n", "\n", "Result: $e^{i\\pi} + 1 = 0$\n", "\n", "\n", "\n", "How to write a standalone equation:\n", "\n", "`$$e^x=\\sum_{i=0}^\\infty \\frac{1}{i!}x^i$$`\n", "\n", "Result: \n", "$$e^x=\\sum_{i=0}^\\infty \\frac{1}{i!}x^i$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tables" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How to make a table:\n", "\n", " | This | is |\n", " |------|------|\n", " | a | table|\n", "\n", "Result:\n", "\n", "| This | is |\n", "|------|------|\n", "| a | table|" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Not-executing codes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can put your codes inside a markdown cell, to only show the codes without executing them. \n", "\n", "Here's the way to get syntax highlighting for python codes:\n", "\n", " ```python\n", " python codes\n", " ```\n", "\n", "\"MATLAB\" is not a highlighting option, but you can use \"OCTAVE\", an open-source clone of MATLAB, to get the same effect.\n", "\n", " ```OCTAVE\n", " disp(\"Hello World\")\n", " for i=1:2\n", " i+1\n", " end\n", " ```\n", "\n", "Result:\n", "```OCTAVE\n", "disp(\"Hello World\")\n", "for i=1:2\n", " i+1\n", "end\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Headings\n", "\n", "Headings are an important way to structure your notebook.\n", "\n", " # Heading 1 \n", " ## Heading 2\n", " ### Heading 3\n", " #### Heading 4" ] } ], "metadata": { "kernelspec": { "display_name": "Matlab", "language": "matlab", "name": "matlab" }, "language_info": { "codemirror_mode": "octave", "file_extension": ".m", "help_links": [ { "text": "MetaKernel Magics", "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" } ], "mimetype": "text/x-matlab", "name": "matlab", "version": "0.14.3" } }, "nbformat": 4, "nbformat_minor": 2 }