{ "metadata": { "name": "", "signature": "sha256:cf50c223c80be16745a5c8574d09f3fd8d04e76c3337232323e66e0bdfff393b" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "###Note\n", "To view This notebook properly, you need to disable **Mixed Content Blocking** warning in your browser" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "####Firefox\n", "\n", "\n", "####Chrome\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#The scientist\u2019s needs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Get data (simulation, experiment control)\n", "\n", "\n", "- Manipulate and process data.\n", "\n", "\n", "- Visualize results... to understand what we are doing!\n", "\n", "\n", "- Communicate results: produce figures for reports or publications, write presentations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## IPython\n", "\n", "IPython provides a rich architecture for interactive computing with:\n", "\n", "- Powerful interactive shells (terminal and Qt-based).\n", "\n", "\n", "- A browser-based notebook with support for code, text, mathematical expressions, inline plots and other rich media.\n", "\n", "\n", "- Support for interactive data visualization and use of GUI toolkits.\n", "\n", "\n", "- Flexible, embeddable interpreters to load into your own projects.\n", "\n", "\n", "- Easy to use, high performance tools for parallel computing.\n", "\n", "## Backends" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bash (*NIX-based)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%bash\n", "ls -lh ~/ | head -n 3" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "total 34M\n", "-rw-rw-r-- 1 rmyeid rmyeid 69K Aug 31 22:11 aapl_ohlc.csv\n", "-rw-rw-r-- 1 rmyeid rmyeid 13K Apr 23 17:14 Download.pdf\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "!uname -a" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Linux einstein 3.13.0-24-generic #47-Ubuntu SMP Fri May 2 23:30:00 UTC 2014 x86_64 x86_64 x86_64 GNU/Linux\r\n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Python\n", "\n", "No need to introduce any special directive." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(\"This is Python!\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "This is Python!\n" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "def fact(n):\n", " if n <= 0:\n", " return 1\n", " return n*fact(n-1)\n", "\n", "fact(20)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "2432902008176640000" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ruby" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%ruby\n", "puts 'This is Ruby playing with Python!!!'" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "This is Ruby playing with Python!!!\n" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Latex\n", "\n", "You need to change the cell type to Markdown.\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{align}\n", "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n", "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n", "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n", "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**or**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{equation*}\n", "\\left( \\sum_{k=1}^n a_k b_k \\right)^2 \\leq\n", "\\left( \\sum_{k=1}^n a_k^2 \\right)\n", "\\left( \\sum_{k=1}^n b_k^2 \\right)\n", "\\end{equation*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### You like it! Here is more" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import IFrame\n", "IFrame('http://nbviewer.ipython.org/', width='100%', height=350)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Python Resources" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**This is not a Python tutorial**, we trust that you can pick the language so quickly if you follow any of the following resources:\n", " \n", "- [Python official tutorial](https://docs.python.org/2/tutorial/)\n", "\n", "\n", "- [Dive into Python tutorial](http://www.diveintopython.net/)\n", "\n", "\n", "- [Scipy Introduction to Python](https://scipy-lectures.github.io/intro/language/python_language.html)\n", "\n", "\n", "- [ThinkPython](http://www.greenteapress.com/thinkpython/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Installation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Ubuntu Linux\n", "\n", "You should either use the distribution's python packages or the packages available on [PYPI](https://pypi.python.org/pypi) using `pip install`. It is recommended that you use the most updated version of your linux distribution.\n", "\n", "#### Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```bash\n", "$ sudo apt-get install python-numpy python-scipy\n", "$ sudo apt-get install python-scikits-learn python-pandas\n", "$ sudo apt-get install python-nltk python-sympy python-pip\n", "$ sudo pip install ipython\n", "$ sudo pip install bokeh\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Mac OS X\n", "This is harder in general, but you can use [homebrew](http://brew.sh/), [macports](https://www.macports.org/), or just use Enthought or Ananconda Python distributions (Look at Windows instructions). Here, is a mac specific [tutorial](http://www.lowindata.com/2013/installing-scientific-python-on-mac-os-x/).\n", "\n", "#### (Homebrew) Example\n", "```bash\n", "$ brew install python\n", "$ pip install virtualenv virtualenvwrapper\n", "$ pip install numpy\n", "$ brew install gfortran\n", "$ pip install scipy\n", "$ brew install freetype\n", "$ pip install matplotlib\n", "$ pip install ipython bokeh\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Windows\n", "Windows lacks a good packaging system, so the easiest way to setup a Python environment is to install a pre-packaged distribution. Some good alternatives are:\n", "\n", " * [Enthought Python Distribution](https://store.enthought.com/). EPD is a commercial product but there is a free version.\n", " * [Anaconda CE](http://continuum.io/downloads.html). Anaconda Pro is a commercial product, but Anaconda Community Edition is free.\n", " * [Python(x,y)](http://code.google.com/p/pythonxy/). Fully open source.\n", "\n", "\n", "\n", "#### Note\n", "\n", "EPD and Anaconda CE are also available for Linux and Max OS X.\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Scientific Python EcoSystem " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n", "%load_ext version_information\n", "\n", "%version_information numpy, scipy, matplotlib, sympy, scikit_learn, nltk, pandas" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Installed version_information.py. To use it, type:\n", " %load_ext version_information\n" ] }, { "html": [ "
SoftwareVersion
Python2.7.6 (default, Mar 22 2014, 22:59:56) [GCC 4.8.2]
IPython2.2.0
OSposix [linux2]
numpy1.8.1
scipy0.13.3
matplotlib1.3.1
sympysympy
scikit_learn0.15.1
nltk2.0.4
pandas0.13.1
Tue Sep 02 14:53:24 2014 EDT
" ], "json": [ "{\"Software versions\": [{\"version\": \"2.7.6 (default, Mar 22 2014, 22:59:56) [GCC 4.8.2]\", \"module\": \"Python\"}, {\"version\": \"2.2.0\", \"module\": \"IPython\"}, {\"version\": \"posix [linux2]\", \"module\": \"OS\"}, {\"version\": \"1.8.1\", \"module\": \"numpy\"}, {\"version\": \"0.13.3\", \"module\": \"scipy\"}, {\"version\": \"1.3.1\", \"module\": \"matplotlib\"}, {\"version\": \"sympy\", \"module\": \"sympy\"}, {\"version\": \"0.15.1\", \"module\": \"scikit_learn\"}, {\"version\": \"2.0.4\", \"module\": \"nltk\"}, {\"version\": \"0.13.1\", \"module\": \"pandas\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.6 (default, Mar 22 2014, 22:59:56) [GCC 4.8.2] \\\\ \\hline\n", "IPython & 2.2.0 \\\\ \\hline\n", "OS & posix [linux2] \\\\ \\hline\n", "numpy & 1.8.1 \\\\ \\hline\n", "scipy & 0.13.3 \\\\ \\hline\n", "matplotlib & 1.3.1 \\\\ \\hline\n", "sympy & sympy \\\\ \\hline\n", "scikit_learn & 0.15.1 \\\\ \\hline\n", "nltk & 2.0.4 \\\\ \\hline\n", "pandas & 0.13.1 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Tue Sep 02 14:53:24 2014 EDT} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "Software versions\n", "Python 2.7.6 (default, Mar 22 2014, 22:59:56) [GCC 4.8.2]\n", "IPython 2.2.0\n", "OS posix [linux2]\n", "numpy 1.8.1\n", "scipy 0.13.3\n", "matplotlib 1.3.1\n", "sympy sympy\n", "scikit_learn 0.15.1\n", "nltk 2.0.4\n", "pandas 0.13.1\n", "Tue Sep 02 14:53:24 2014 EDT" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Numpy\n", "\n", "NumPy is the fundamental package for scientific computing with Python. It contains among other things:\n", "\n", "- A powerful N-dimensional array object\n", "\n", "\n", "- Sophisticated (broadcasting) functions\n", "\n", "\n", "- Tools for integrating C/C++ and Fortran code\n", "\n", "\n", "- Useful linear algebra, Fourier transform, and random number capabilities" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "from __future__ import print_function" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### ndArrays\n", "\n", "We can initialize arrays from Python lists or list of lists." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# a vector: the argument to the array function is a Python list\n", "v = np.array([11, 12, 13, 14])\n", "print('v =\\n{}'.format(v))\n", "# a matrix: the argument to the array function is a nested Python list\n", "M = np.array([[2, 1], [3, 4]])\n", "print('M =\\n{}'.format(M))\n", "print (type(v), type(M))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "v =\n", "[11 12 13 14]\n", "M =\n", "[[2 1]\n", " [3 4]]\n", " \n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Basic Operations and Attributes\n", "\n", "The array object has many useful attributes, like:\n", "- shape: size of each dimension.\n", "- dtype: data type.\n", "- ndim: number of dimensions.\n", "\n", "Also many operations are available:\n", "- reshaping, flattening\n", "- aggregation as max, min and mean.\n", "- transpose." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(\"v shape is {}\".format(v.shape))\n", "print(\"M shape is {}\".format(M.shape))\n", "print(\"Data type of v is {}\".format(v.dtype))\n", "print()\n", "print(\"M transpose =\\n{}\".format(M.T))\n", "print()\n", "M.sort(axis=1)\n", "print(\"M sorted by row =\\n{}\".format(np.asarray(M)))\n", "print()\n", "print(\"v stats are mean = {}, standard deviation = {:.4}, max = {}, min ={}\".format(v.mean(), v.std(), v.max(), v.min()))\n", "print()\n", "print(\"Converting matrix M to a vector {}\".format(M.flatten()))\n", "print(\"Converting vector v to a matrix=\\n{}\".format(v.reshape(2,2)))\n", "print()\n", "print(\"M matrix size is {} and number of dimensions is {}\".format(M.size, M.ndim))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "v shape is (4,)\n", "M shape is (2, 2)\n", "Data type of v is int64\n", "\n", "M transpose =\n", "[[2 3]\n", " [1 4]]\n", "\n", "M sorted by row =\n", "[[1 2]\n", " [3 4]]\n", "\n", "v stats are mean = 12.5, standard deviation = 1.118, max = 14, min =11\n", "\n", "Converting matrix M to a vector [1 2 3 4]\n", "Converting vector v to a matrix=\n", "[[11 12]\n", " [13 14]]\n", "\n", "M matrix size is 4 and number of dimensions is 2\n" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generating Arrays\n", "\n", "Sequences of numbers as well as random numbers could be used to initialize arrays." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.arange(0, 10, 1) # arguments: start, stop, step\n", "print(\"Create a range\\n{}\".format(x))\n", "print()\n", "# using linspace, both end points ARE included\n", "x = np.linspace(0, 10, 41)\n", "print(\"Create a spaced range\\n{}\".format(x))\n", "print()\n", "# uniform random numbers in [0,1]\n", "x = np.random.rand(4,4)\n", "print(\"Create a uniform random matrix (4,4)\\n{}\".format(x))\n", "print()\n", "# a diagonal matrix\n", "x = np.diag([1,2,3])\n", "print(\"Create a digonal matrix\\n{}\".format(x))\n", "print()\n", "x = np.zeros((3,3))\n", "print(\"Create a zero matrix (3,3) \\n{}\".format(x))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Create a range\n", "[0 1 2 3 4 5 6 7 8 9]\n", "\n", "Create a spaced range\n", "[ 0. 0.25 0.5 0.75 1. 1.25 1.5 1.75 2. 2.25\n", " 2.5 2.75 3. 3.25 3.5 3.75 4. 4.25 4.5 4.75 5.\n", " 5.25 5.5 5.75 6. 6.25 6.5 6.75 7. 7.25 7.5\n", " 7.75 8. 8.25 8.5 8.75 9. 9.25 9.5 9.75 10. ]\n", "\n", "Create a uniform random matrix (4,4)\n", "[[ 0.31281701 0.09433053 0.04063735 0.61049305]\n", " [ 0.9849427 0.03703267 0.79554371 0.48745227]\n", " [ 0.46420451 0.17958533 0.32115069 0.33124119]\n", " [ 0.96986526 0.74728439 0.93486614 0.24787973]]\n", "\n", "Create a digonal matrix\n", "[[1 0 0]\n", " [0 2 0]\n", " [0 0 3]]\n", "\n", "Create a zero matrix (3,3) \n", "[[ 0. 0. 0.]\n", " [ 0. 0. 0.]\n", " [ 0. 0. 0.]]\n" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Indexing\n", "\n", "ndarrays can be indexed using the standard Python $\\mathbf{x}$[*obj*] syntax, where $\\mathbf{x}$ is the array and *obj* the selection.\n", "There are three kinds of indexing available: [record access](http://docs.scipy.org/doc/numpy/reference/arrays.indexing.html#record-access), [basic slicing](http://docs.scipy.org/doc/numpy/reference/arrays.indexing.html#basic-slicing), [advanced indexing](http://docs.scipy.org/doc/numpy/reference/arrays.indexing.html#advanced-indexing). Which one occurs depends on *obj*." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(\"v[0] = {}\\n\".format(v[0]))\n", "print(\"M =\\n{}\\n\".format(M))\n", "print(\"M[1, 1] = {}\\n\".format(M[1,1]))\n", "print(\"M[1] = {}\\n\".format(M[1]))\n", "print(\"M[1, :] = {}\\n\".format(M[1, :]))\n", "print(\"M[:, 1] = {}\\n\".format(M[:, 1]))\n", "print(\"M[1, :] = 0\")\n", "M[1, :] = 0\n", "print(\"M =\\n{}\\n\".format(M))\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "v[0] = 11\n", "\n", "M =\n", "[[1 2]\n", " [3 4]]\n", "\n", "M[1, 1] = 4\n", "\n", "M[1] = [3 4]\n", "\n", "M[1, :] = [3 4]\n", "\n", "M[:, 1] = [2 4]\n", "\n", "M[1, :] = 0\n", "M =\n", "[[1 2]\n", " [0 0]]\n", "\n" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "A = np.array([[n+m*10 for n in range(5)] for m in range(5)])\n", "print(\"A =\\n{}\\n\".format(A))\n", "print(\"A[1:4, 1:4]=\\n{}\\n\".format(A[1:4, 1:4]))\n", "print(\"A[::2, ::2]=\\n{}\\n\".format(A[::2, ::2]))\n", "print(\"A[ [1,4] ]=\\n{}\\n\".format(A[[1,4]]))\n", "print(\"A[ [1,4], [2,-1] ]=\\n{}\\n\".format(A[[1,4],[2,-1]]))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "A =\n", "[[ 0 1 2 3 4]\n", " [10 11 12 13 14]\n", " [20 21 22 23 24]\n", " [30 31 32 33 34]\n", " [40 41 42 43 44]]\n", "\n", "A[1:4, 1:4]=\n", "[[11 12 13]\n", " [21 22 23]\n", " [31 32 33]]\n", "\n", "A[::2, ::2]=\n", "[[ 0 2 4]\n", " [20 22 24]\n", " [40 42 44]]\n", "\n", "A[ [1,4] ]=\n", "[[10 11 12 13 14]\n", " [40 41 42 43 44]]\n", "\n", "A[ [1,4], [2,-1] ]=\n", "[12 44]\n", "\n" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conditions and Arithmetic" ] }, { "cell_type": "code", "collapsed": false, "input": [ "A = np.array([[n+m*10 for n in range(5)] for m in range(5)])\n", "print(\"A =\\n{}\\n\".format(A))\n", "print(\"A > 20 =\\n{}\\n\".format(A > 20))\n", "print(\"np.where(A > 20) =\\n{}\\n\".format(np.where(A > 20)))\n", "print(\"np.argwhere(A > 20) =\\n{}\\n\".format(np.argwhere(A > 20)))\n", "print(\"A - 10 =\\n{}\\n\".format(A - 10))\n", "print(\"A * 10 =\\n{}\\n\".format(A * 10))\n", "print(\"A * A =\\n{}\\n\".format(A * A))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "A =\n", "[[ 0 1 2 3 4]\n", " [10 11 12 13 14]\n", " [20 21 22 23 24]\n", " [30 31 32 33 34]\n", " [40 41 42 43 44]]\n", "\n", "A > 20 =\n", "[[False False False False False]\n", " [False False False False False]\n", " [False True True True True]\n", " [ True True True True True]\n", " [ True True True True True]]\n", "\n", "np.where(A > 20) =\n", "(array([2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4]), array([1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4]))\n", "\n", "np.argwhere(A > 20) =\n", "[[2 1]\n", " [2 2]\n", " [2 3]\n", " [2 4]\n", " [3 0]\n", " [3 1]\n", " [3 2]\n", " [3 3]\n", " [3 4]\n", " [4 0]\n", " [4 1]\n", " [4 2]\n", " [4 3]\n", " [4 4]]\n", "\n", "A - 10 =\n", "[[-10 -9 -8 -7 -6]\n", " [ 0 1 2 3 4]\n", " [ 10 11 12 13 14]\n", " [ 20 21 22 23 24]\n", " [ 30 31 32 33 34]]\n", "\n", "A * 10 =\n", "[[ 0 10 20 30 40]\n", " [100 110 120 130 140]\n", " [200 210 220 230 240]\n", " [300 310 320 330 340]\n", " [400 410 420 430 440]]\n", "\n", "A * A =\n", "[[ 0 1 4 9 16]\n", " [ 100 121 144 169 196]\n", " [ 400 441 484 529 576]\n", " [ 900 961 1024 1089 1156]\n", " [1600 1681 1764 1849 1936]]\n", "\n" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Linear Algebra\n", "\n", "#### Inverse, Determinant" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(\"np.linalg.det(A) = {}\\n\".format(np.linalg.det(A)))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "np.linalg.det(A) = 0.0\n", "\n" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "try:\n", " print(\"np.linalg.inv(A) = {}\\n\".format(np.linalg.inv(A)))\n", "except np.linalg.LinAlgError as e:\n", " print(\"Matrix is singular\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Matrix is singular\n" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Inner Product\n", "\n", "To calculate $||\\mathbf{v}||_2 = \\sqrt{\\mathbf{v}^T \\mathbf{v}}$ if $\\mathbf{v} \\in \\mathbb{R}^d$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "v = np.arange(5)\n", "print(\"v = {}\\n\".format(v))\n", "print(\"||v|| = np.linalg.norm(v) = {}\\n\".format(np.linalg.norm(v)))\n", "print(\"np.dot(v.T, v) = {}\\n\".format(np.dot(v.T, v)))\n", "print(\"np.dot(v.T, v) ** 0.5 = {}\".format(np.dot(v.T, v) ** 0.5))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "v = [0 1 2 3 4]\n", "\n", "||v|| = np.linalg.norm(v) = 5.47722557505\n", "\n", "np.dot(v.T, v) = 30\n", "\n", "np.dot(v.T, v) ** 0.5 = 5.47722557505\n" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Outer Product\n", "\n", "To calculate $\\mathbf{v} \\mathbf{v}^T \\in R^{d\\times d}$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(\"v.shape = {}\".format(v.shape))\n", "u = v[:, np.newaxis]\n", "print(\"u = v[np.newaxis,:] =\\n{}\\n\".format(u))\n", "print(\"u.shape = {}\".format(u.shape))\n", "print(\"np.dot(u, u.T) =\\n{}\\n\".format(np.dot(u, u.T)))\n", "#print(\"np.linalg.inv(\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "v.shape = (5,)\n", "u = v[np.newaxis,:] =\n", "[[0]\n", " [1]\n", " [2]\n", " [3]\n", " [4]]\n", "\n", "u.shape = (5, 1)\n", "np.dot(u, u.T) =\n", "[[ 0 0 0 0 0]\n", " [ 0 1 2 3 4]\n", " [ 0 2 4 6 8]\n", " [ 0 3 6 9 12]\n", " [ 0 4 8 12 16]]\n", "\n" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Multidimensional Data Processing\n", "\n", "You can apply arithmetic to specific dimensions, like dividing each column by specific value. Moreover, you can aggregate quantities like sum over specific dimensions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "A = np.random.randint(0, 100, (4, 5))\n", "v = np.arange(5) + 1.\n", "u = np.arange(4) + 2.\n", "print(\"A =\\n{}\\n\".format(A))\n", "print(\"A.max() = {}\".format(A.max()))\n", "print(\"A.max(axis=0) = {}\".format(A.max(axis=0)))\n", "print(\"A.min(axis=1) = {}\".format(A.min(axis=1)))\n", "print()\n", "print(\"v = {}\".format(v))\n", "print(\"A / v =\\n{}\\n\".format(A/v))\n", "print()\n", "print(\"u = {}\".format(u))\n", "print(\"(A.T - u).T =\\n{}\\n\".format((A.T-u).T))\n", "print(\"np.diff(A, axis=0) =\\n{}\\n\".format(np.diff(A, axis=0)))\n", "print(\"np.cumsum(A, axis=1) =\\n{}\\n\".format(np.cumsum(A, axis=1)))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "A =\n", "[[51 98 56 95 17]\n", " [32 24 8 87 8]\n", " [ 5 95 1 17 45]\n", " [22 8 63 97 20]]\n", "\n", "A.max() = 98\n", "A.max(axis=0) = [51 98 63 97 45]\n", "A.min(axis=1) = [17 8 1 8]\n", "\n", "v = [ 1. 2. 3. 4. 5.]\n", "A / v =\n", "[[ 51. 49. 18.66666667 23.75 3.4 ]\n", " [ 32. 12. 2.66666667 21.75 1.6 ]\n", " [ 5. 47.5 0.33333333 4.25 9. ]\n", " [ 22. 4. 21. 24.25 4. ]]\n", "\n", "\n", "u = [ 2. 3. 4. 5.]\n", "(A.T - u).T =\n", "[[ 49. 96. 54. 93. 15.]\n", " [ 29. 21. 5. 84. 5.]\n", " [ 1. 91. -3. 13. 41.]\n", " [ 17. 3. 58. 92. 15.]]\n", "\n", "np.diff(A, axis=0) =\n", "[[-19 -74 -48 -8 -9]\n", " [-27 71 -7 -70 37]\n", " [ 17 -87 62 80 -25]]\n", "\n", "np.cumsum(A, axis=1) =\n", "[[ 51 149 205 300 317]\n", " [ 32 56 64 151 159]\n", " [ 5 100 101 118 163]\n", " [ 22 30 93 190 210]]\n", "\n" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Futrther Reading\n", "* http://numpy.scipy.org\n", "* http://scipy.org/Tentative_NumPy_Tutorial\n", "* [A Numpy guide for MATLAB users.](http://scipy.org/NumPy_for_Matlab_Users)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Matplotlib\n", "\n", "matplotlib is a python 2D plotting library which produces publication quality figures in a variety of hardcopy formats and interactive environments across platforms. matplotlib can be used in python scripts, the python and ipython shell, web application servers, and six graphical user interface toolkits." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Best practice to import matplotlib" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Basic example" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(0, 5, 10)\n", "y = x ** 2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "ax.plot(x, x**2, label=\"$y = x^2$\")\n", "ax.plot(x, x**3, label=\"y = x**3\")\n", "ax.legend(loc=2); # upper left corner\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y', fontsize=38)\n", "ax.set_title('Advertise Here');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/usr/lib/pymodules/python2.7/matplotlib/font_manager.py:1236: UserWarning: findfont: Font family ['monospace'] not found. Falling back to Bitstream Vera Sans\n", " (prop.get_family(), self.defaultFamily[fontext]))\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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6S2s4tBuu/6dpuGSBwWn1dORzAMg7xW3lmPMzz2ita3v4+G1qMIuPEEJErG8O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\nzFxMiM1chIMUHyEikOE3+Hr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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Subplots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "xx = np.linspace(-0.75, 1., 100)\n", "n = np.array([0,1,2,3,4,5])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 4, figsize=(12,3))\n", "\n", "axes[0].scatter(xx, xx + 0.25*np.random.randn(len(xx)))\n", "axes[0].set_title(\"scatter\")\n", "\n", "axes[1].step(n, n**2, lw=2)\n", "axes[1].set_title(\"step\")\n", "\n", "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n", "axes[2].set_title(\"bar\")\n", "\n", "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n", "axes[3].set_title(\"fill_between\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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7ggTKpIYWp3t3m8mTa3nzzUwAfvazGrp0aV+QXG9z5Eg/n3xSynffWWRkZFFV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\nDiX1pBL5TmNHKlxnKvhtPO5jrG3Euv5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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Histograms" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# A histogram\n", "n = np.random.randn(100000)\n", "fig, axes = plt.subplots(1, 2, figsize=(12,4))\n", "\n", "axes[0].hist(n)\n", "axes[0].set_title(\"Default histogram\")\n", "axes[0].set_xlim((min(n), max(n)))\n", "\n", "axes[1].hist(n, cumulative=True, bins=50)\n", "axes[1].set_title(\"Cumulative detailed histogram\")\n", "axes[1].set_xlim((min(n), max(n)));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ng6QZ6YkezDrlDDsD7e6/Bs5091eRTodyppmdRnrn8HF3Pzn/tAbPc0gfccwhfazzKTNr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\nvfP/AyL7Kq1BSf/JAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3D figures" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "alpha = 0.7\n", "phi_ext = 2 * np.pi * 0.5\n", "\n", "def flux_qubit_potential(phi_m, phi_p):\n", " return 2 + alpha - 2 * np.cos(phi_p)*np.cos(phi_m) - alpha * np.cos(phi_ext - 2*phi_p)\n", "\n", "phi_m = np.linspace(0, 2*np.pi, 100)\n", "phi_p = np.linspace(0, 2*np.pi, 100)\n", "X,Y = np.meshgrid(phi_p, phi_m)\n", "Z = flux_qubit_potential(X, Y).T" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1,1,1, projection='3d')\n", "\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "cset = ax.contour(X, Y, Z, zdir='z', offset=-np.pi, cmap=plt.cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='x', offset=-np.pi, cmap=plt.cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='y', offset=3*np.pi, cmap=plt.cm.coolwarm)\n", "\n", "ax.set_xlim3d(-np.pi, 2*np.pi);\n", "ax.set_ylim3d(0, 3*np.pi);\n", "ax.set_zlim3d(-np.pi, 2*np.pi);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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DhN2Z6FlFLDd3satvDfneMDa7nchQu7zZMnj8eJjBEPW3/g96dx+rnvo1AW8uf906SO3+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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Styling\n", "\n", "To change your matplotlib figures styling, you have one several options:\n", "\n", "- Use [prettyplotlib package](https://github.com/olgabot/prettyplotlib).\n", "\n", "\n", "- Use [MPLTools package](http://tonysyu.github.io/mpltools/auto_examples/index.html).\n", "\n", "\n", "- Change matplotlib.rcParams values.\n", "\n", "\n", "- Change matplotlibrc default values. Here is my personalized [configuration file](https://raw.githubusercontent.com/aboSamoor/ipython-custom/master/matplotlibrc).\n", "\n", "\n", "\n", "#### PrettyPlot Example" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import prettyplotlib as ppl\n", "import matplotlib as mpl" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "np.random.seed(12)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1)\n", "\n", "# Show the whole color range\n", "for i in range(8):\n", " x = np.random.normal(loc=i, size=1000)\n", " y = np.random.normal(loc=i, size=1000)\n", " ppl.scatter(ax, x, y, label=str(i))\n", "\n", "ppl.legend(ax)\n", "_ = ax.set_title('prettyplotlib `scatter` example\\nshowing default color cycle and scatter params')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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T0bGxIX1XI479sgnZjHLFMq2PsymTJEmkFBGwK2MlyaKR9iXSTsT1fTtOuF6W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4w/HiAsi66sQBjHpds37Ud2YEol3ChEWAKkaTESQhDuTpDuRr2SbhQycYgTeghLYoe+KdlwDb3j\nDWOqZYZ0TbeoOdcBqzuHBOMh0rVps4KmasxOOytAmEz3Ji8ItsfUSYY/6lEu1iYxUlq0SUGwPTTl\nF4FxgwpLoJc58cUditkKEThoYfT/7qaTFMDuYOAFbLkR2WrFrC3QI1NJJ7TGLVp+rr9PqjuK0MZt\nNJ5tEyL5d0//DADJes0rp0dMen0u7u7xt7efowpeo1v6Fbz/8pPf8Rr81g7avc7mXfvXfrgL+3vE\nY5366/F4p/4TgHWW0bmSVxtBLWmT1iUvrs6oQxewuNuVeNMTru/sfdv3a625sr37YMFvmobTLOH+\n/BDfM7xyXZTM6pZllrAucxbrhGmdUeuO3rplgkNdN1DVWGGA3Xb4E7OrrqYL7LZDOJJge0STFXRl\nTZ2kdE1DfMEMEnWnyA7PUOUmV3zYo5guaOsW2QsoTma4wx4IgfQc7NDHcx2zgPfCzbBVYbnWg8Gq\nJU1jkCUs0yvaNLRpgXRswgtbRjOel1i2bTTy53P8UR/VdriDAK06syj3I9L7p+imNQXSjk2Tm4Cu\ncr7C9lycKKArTYa7laQ4Ucj66Ize3g6q2wSjYRyeXd0AGt1pVFMjpMBybKRv2pZ0WmI5NnujCROv\nRxoJzoo1mg7LslEoE7XrOgS2zXsuXmdZZgy9gPXsmEbpTdORy9h2+JlLTzIr15zI9sHv3clfi5nt\n93q8p/f0g69v9Ld5LpuC6yCqmhvD16oJ3witUq/jcttHPEP9JxmPOfVHEN/vefXjGKfuAGjqhjtH\n9/na+REvLE9pO3MTC0uwLNPXfZ/Wmv/83Jf537/8af79177A80d3APjyyW1mPozHY06qNS+/9DJn\nqzmlZ3FutcybnC/df4mZqkibipM64/86eQ5bm1hZ3baGf7Ysk/5om5ahbp3T5iVsArvawhREIy26\n5tVhpLHCe4OYLi+pViltlrP46kvYcYDbi3Ajn3q5ftA96m+PyE5mNHlJWzUsX7qH1oqurnAHMXWa\no7qO9N4x5WxJ17bGwq+1OT/LQrhGC257LuViBbakWiRUqxS06RK1fR+Nxo5C6nWGG4dYjosdeKbZ\naKNsUU2DVppqmeDHEVpr3DhAWBZtWSE9j7asqBZGoVMnmUmlXCTk0wWqqBldv0i8MyEc9NgNBhyM\nJozGQ/Pgaluk7WD7LrpT1EXJOs9I8gzpOexc2CWWDnbeEOYdwXHK/niLp7YOCPKWJisQWck7x+YB\nr5Ti3vSEO2cnD/LED8bbvH90iXfIPv/F9nW2+sPveg3ueTGqM1y6rhr24386QuBRvf/eDHzqU5/i\nwx/+MO9///v55V/+Zb74xS++acd6vFP/CYCUkvftXOWF+Qkvzs4ZDodEYczpScE0SxjYPofLc2Zu\nyPqVmvdduEYUhPzt81/mq05GoVqyxREvrmesspS1VOD6pE1F0I8pZwm2ZzFbLnF9D78Xszo7J1ut\n0EWD8BzKbMX79q8Tph5feunrBFcuoLWmTnLcKCI/nlLNlgSOxN8aGY35ZEC9WhNMhrSlUYF0ZYWM\nfNx+jBMGCMemWWeEFyZYtrNxejpG0ZLmSN/B3USnrl45pLe3jfRd7Cgw+fB1g3QkwrIJLmyRn87x\nexH+ZEidpFiubbJiBPQu7VEnJgUyPZ4iXQfHN1r2xYt3iXYmNEVNVzZoS2P7PtK16eqG4niKtam/\nq5OMtqjQFoRbQ1TbmQAvR5KeTHGCgOLeGc5Wn9WdewhtEe1t48QBum7o/Jp2XRBFETg2aVUwCmK2\nVgk5FnJv22TUWAKVV1h1w3y5oO+F9KKYedYwmUyII81Wf4DK7wPguS7/6trbadsWKaVR/GjN3915\ngSSwEEJw5/6cn7/4JK7j0I979OPv2FD5Orz74BrD81PKrmV7uMuo/2gmM/4o8NnPfpZPfOIT/OEf\n/iHvfve7mU6nb2oT0mNO/ScERVXywvSYZ8/v4QUBw+GQqqxYzGYowBtETGKTqDeq4B3bF/mz21/h\nnIpE1TSqpV0XTIKYYdJi7Y9N61CeoQV0jk3dNni2Q5ZlJLOFCbryXaRtFtZd6eNbNkenZ6RNQYXC\n8X3qxYrwwhbULfk6NUoO38UJfNKjKV1l5IMCjbYs3MjfmHY0bVHSVY3JYnEd5CZnplyaFiLVtGZx\nwvSRhrtjivMFlu9B3YIFqu1oywYn8mjLBn/Yo2sapJTUWU4+XbL1jhsgoC0q8rOZsewP+2ilENKi\nnC7JZ3OcMKR//SLF0ZT46j6qqs3DaBPXWy1WSM9DNS1tXRFd2EFYGxqo68iPpiZ+wPdNjK/vAhp/\ne4QQwjww6gbfduiHEXt2xHZt8fYLl0nqgr++9zwLHyNxlBa6bJhkHU9ducHp4TFVJEEpnFrx5NY+\n1wZbXN3+dsrtVZzNZ3ypOn+d7f8JEXPtDWi6RxU/LKf+ZtfZffSjH+U3fuM3+LVf+7Xv+rrHnPpj\nvA7PHL1MGToQ+Zx1FdY6oRf3eM/OJRZtSf1NQ68ao6cOXReVpbSio9Waru3QjuRMJYzKkLqsWa8z\n/H5Euk7pupbZYoUdGKs8lkD6Ls0qpckLpq5GzBLCrQG6tinOpjRKY/cjkBZN1+H0Y1RVI32XcpEg\n0HijHkIIUwknDUXRzFeAoK0rvDhGei7lbIXlGDli2zS4YYgMXNqsQLoubW6045ZtI5SmynNs36OY\nLgj3tvBHA9qyRNUtQljGup9XuP2QrmuRtg0bOZ7qlGlU6kWorjPZLnWFDDzSO8fIwGS7d7V5SCit\nsT0XFUZ44z7r+yfoRpEfT7E8D9uzadYFXdPS370AWqFtaZIiy9o82FwXIS0TY6A0pYKireH6NZ5v\nl4wqwcANyOuURmmqtsReFuxcvMzJ7Iz9Kwe0XUenFBdFwM9dNRz5Ml2zzDP6fvBtUbnS2sQKbKC1\n5g1m6T+xOJxP+YfpPVqhmVge77/y9A/V0/ut6LqO5557jl/8xV/kV37lV6iqil/6pV/i93//9/E8\n759+gx8Ajzn1RxDf73k1TUMiDHe+0xsysj10VrHfubxr/yrbTmRKHjDKmF0vIggCrnkDLsdjmryg\nSTPCYY/Fcon0XK7t7POeyzcMTx64OP2QYHuIsM2Q0NmkKupO4Qxi2rpmdT6laGrOZ3MKYcKylOoe\nSABl5GN7jtl1Ow5O6FOXNV294f2FCerKTmZG/SEtgvGIOstpsgIZeSAsnDgiGA/RbUuTZATbY7Mu\nufZm6CmxbEm0t01XNUQHO4bftyVuFJqmoeMpxfkSuxciLEm9XFNtWn+cfkQw7lMnKeVqTXE2py1K\npG2j6xZ3GKPqFjv0kY6zKetY05YVWnVkx2d0VY3TCzeu146uqLFdG+k6ZiGvGqRnQsi8UZ9mnVMu\nE4qTcy4Mxlw7uEQvioknIzSQZBlfWR3iRQHb8ZB+a7FbWly9cpnOt1FNi+s4hH5Ah+IbyzO+fP8V\nbp8ecesfPs039JovrA65Nzt93bUzHozYbkx7ktaasGi5NNl58P8ni3OeO7nL7bOTh04Z/Kjvvwd1\ndpHJq098ixfODh/qMWazGW3b8ld/9Vf88R//Mbdu3eL555/nk5/85EM9zjfj8U79JwC2beMqw4/O\nlwvaruWJcMS7Nl2Lb9+/TDA9Ie0qht7gwU37Uxev0zu8x3F3wlLa2I3G7/VoF2vO0iWOsOjjUNQt\nWmjTMhQFlMsUYUv88YAqyUyTEJpgZ0x5OkMgYLNjjiZDmnVO13Q4jrPhzpVxjgpwQh83MnEAWimK\n2YpgMkAIC28QY9mm+Wd999gsooGPlJKmMLkq7sYQpNEEoyEITAFGkuLZEifyadY5WOaTgPQcIxv0\nXPytAdJ1EI6NykqE72F7rlGyhAHSsalWGVppI0VcZ6i2pckqnH5IcucYYQnCnQnR3jbFbEU5W2JZ\nguhgxxRcODZlnmB7LpZjAslU1yEcB9U0CClRStHkJfUqJer1sC1JUpecn52RhyHHxYr+ZMzcB7VO\nuXHtGqdyykmYUtkCS3Vo2yIrCjoU0yan51icOS1fPrq7oXjAch1ur+dcmrzW7iOE4L2XbnC+XNCq\njt2dyQMq5t75CV8t50jHQbUF2VH50Ps7f5TQWtMIzTfvy2vVPdRj+L4JpPvIRz7CZGJ0/h/96Ef5\n5Cc/ycc+9rGHeqxX8Tj75RHEG53XnekJr2RzAK5Go9fxpF3XMVCSz3/966jIYzwYMPc1R/Nz9sfG\n/v3NHGma5yyyhJ4fsr+1w/XmIvO64HAxpUgzZFEzT1bUecmOHbLWDsdNimoVbVnhb/cp52vqdY6w\njYMx3BrTFiV2P8b2PVOjFodU86WhLO6dmOFnFBDsjEBrspOZeVAEPv5wwOLle0jPRSuN9CVyow0X\nloW2BHWSEXguSIll20YS2Tpoy0I6DsKWFOdz4v1dnChEg9nBDmOqRUqbFRSzFes799l937uww4A2\nL6BuELZt1DC2Zerk2vaBC/XV2jl/ZIZ/+XSB0MI4XQcRqm5p0hzpOei6Ibp2gG5NUbVWitCx0Vlp\n3scSlPOVmQVIG7cf0awzvDhkfPUiQmmO7hwSjwaEjkepOrpAYtcVdqspPDhdzThenVPagNY4tovj\nSC52HneyOQNbsr1ZQArVcP3Sa4UMb+RTEEKwPRp/278fFylyEwdhSYvTPOOd3//l/B3xo77/3oo6\nu36/z+7uW1uR9zgU+ccAy3XC8+WcJnBoAocXqiXLtTEGaa35u3vfYBnbuLsjnMCjJz2k63KcL2nb\nlnJTeAxwniz57PkrPK/WfH55n5NkwQXlc+/shNKXqMijmcScTqekgcULds7R/fuosyWWMkYfx/cJ\ntob420MspREbE05dlFiOQ9e0Zkft2puFsWD01DWTixIG1KuUcrGmLU0qYpsXrA9PCQY9ege7OHFI\nMVs9+Lifny9okoxwd2J05kW5WdAbpG1TnS/JZwu6uiaYjEluH1EsVjTrHH88xAk3RRGOxPYcvFGf\ntqo3PaWuYW76EW4vwnJd01Fq22ht+H5VVoant0wZdFdWaKXoyoqurE3Nne9iCYE77pGdztBoLMuY\nf2zbJnR8RNXij3oIS+IP+3R1TT1PoOnwh30Tf8umfi+v2bt8QGDZdFmFyisuxSOSPGeaJiwWK/Ki\npPEdkrZErTLed+NtvGv7ItvjyYPF+4IXQ7XRo9cNT/S3vufrzv4WHYUjfvKWize7zg7gwx/+MH/6\np3/KfD4nSRL+5E/+hA9+8IMP/Tiv4ofeqd+8efMS8L8BOxhm85O3bt36n7/1dffu3eNRU798+tOf\n/pHvFt4I33pe6zLHcl/7kCgcm3WZM+z1KcuSpWxxhOnOJPBYlzlRFHG+WPCXdU5ZVyxnc1LVkDYV\n/TDiyavXsVyHl9MZe2GfQdyjcSWzekXaVrRS4zQlshegHYtmuWYQxRRokGBFxnzTao1OM7NTDT2a\n+Zre1T2EZVEv19B2WJ2i2bhErU2RcpOXOJGPZUksV9KczHB2xkbj3bY4ccDyG3cRrkOXV0QHO6i2\nQ9oOTV6YdEQUbVUS7W+THp9vqtsg3NsiuXNIuDUyipas2GjJLbRj47cDmnVOsy5AaFTVGAdrZ+YA\n68MzqnnywEXaFiVIiRAmwdEMdi2k57B65ZBobwe3ZxQ9UbhD8sohXV7QRSGy6Qg8D60bbMdhnebY\ngNV2TC4f4M5SlklCW9YQ+ZRJikaTthVFVlBYylTyuQ5nyYKL4YBSK9xhTBt5UDWMgphX9RFP7l6k\nOHyZ87bEFRb/4srb+eIXnuEdP/VueuOIXhR9z9fh01v7PHPyMplUuC28bevhftp+FO6/N7vODuB3\nfud3WC6X/Oqv/iqe5/GhD32I3/7t337Tjvcw6JcG+G9v3br1Dzdv3oyBv7958+Zf3rp162sP4b0f\nAxhFfcT5DO1tAsurmtGWoQJc16VMc46KNUVdUZUtAQHMU6rQxgs8TtI5RyLHHUV02ua0aVl9/R/Z\n399nV7l4kcSWkrRrUK6NZSl005CezrE9G7RAOg5l09ChEIFrTEFVTbhjih2cwKTMUnkAACAASURB\nVDNctpWTHU6xIx+BMDG2lmWakrZHVKt0s9PVoDVVVuBusl6ELSnPl/iTodGIB/7GfVphWRLVNnSN\nItweYzlmJ12czSnOFqb82fcQtsQG/EGP7PQcLwpRTYs3HtCkOW1R4vYipO8hPYdqlZK8dJ9ytsIb\n9qjTzEjbpESgsRyb3sVdmqI0WTLrjEYLU8gtJfHBLk2WE10YG2OQUkjfoUlyVN5waWsHWTVkrcZB\n4LUCyw+xACur2RtMkFHA+WJOkxU4vosbhcTS4/zuPZz9bULA6QTr5ZLJwSVaT+CqComFbVmMLY8r\nG2rIsix++tITr7t+fNdjf2uH74ZvnN7ntEyxhcXbxhcYxn2iIOAXrr6DsizxPO9x29EPCNu2+fjH\nP87HP/7xt+R4P/Rv6datWye3bt36h83fU+BrwLdtyR9z6t87vvW84jDkvcMDhrVgWAveOzwg3mhz\nLcuiqU2DDYCdN1wm4GcPruN4PnVZoVxJJ0xSiAZqpVirlqJrWBc5lye7vM0dUs0T6qahXqbUSUZ8\ncZvgwpbRqTcN2WxBcXxOOV3SZQVSWOQnM7AE7rBv5IirFOnYoDRVmmF5LlgWWJrkzjGqU8jAp2tb\ntBCEO2PsOMAOfNL7Z2CZBqSmqECw2S23lLMF7tBEx4pvShQUtoWwLZo8R6kOS1p0dU3XKYRSOP0I\nOwoo5iu0Np2fwrIedHsKIbDjgGK2oFwkIAT+1ojexR3sMDBSS1tiWQInDIj2d+hdvmAoGtcxg1Xb\npk4yutxIJG3Xxd8ZE+5NUK7NxAm4vHsBW2vqqqTCxAg/MdmjEgq/VhxcPCAc9TZl1ZrY9zkYbbM3\nHLM1HDMYD+n3+vhlR9e0BEISC5vYCxjZHje+C63yT13n92ZnvNytKXzJ2hP8/emd12oDhSAIgjdl\nQX9U778fdzzUQenNmzevAu8FPv8w3/efK/Ky4KX5CZ3W7McjfvZbdmBg5IzxsI8PHGZLvN0Jd/KS\n7WRBv4HU8xDrFtFqNJpWa4RWtHlBlqwZj7bJipx37l3lcHrKV1YzurImujDh/2fvTWIly847v985\ndx5ifvPLzMoqFkmREkstioPcVNsWWpJbMAwvjIRgwDsJkBYGDK8s72xopb0BrwzYgAEbKNuATQFy\nWwDZ7aZbnERRJCWSVawhX2a+Oea48xm8OFFZVWJxKNXALPL9Vxnx4t04L+PGd7/7nf9gtcEoQzwe\nsD45Y3TrEH21oG5bkp0xeJL6ldXjDliVNenehLCfI3wJsxVSCnTTkuxPUGVNtynZnF3ipQl+GKDr\nlmjYIxn1MdolJCEFYRY7Jea6ID/ap12s6OYrjNLbMYyH7TTWgh9HpIe7LF95RDIeOKZNGhEe7GDa\nzqUQFQX+eITcSvWDLHHiprpGSkk4GTqP9SxBeALTacTWS113HbrTJP0eXVU5TnmasH5wRu9oj/R4\nn9XFFL/vKI8CSdLPiYKQplX8YD4jbQJWUuH1M/wspRcmiEAyGY5QfsxZvUFKgWoaRNPRtEs+uf8s\n3ykWeFmCbhXHUZ//8OOf4kv3v4c+3qMqSka15dfvfJgs+ccLcFZthfReLwW1D3VdkyQ3LosfRLxr\nl9/t6OV/A/6Lbcf+Jtzw1H96fOlLX8IYw1dPX+bcU1z5mm8uTpmvftjTOgxDetbner1g01RcX1zS\ntQ2vlHM+ffwh+puOUW05NiHdoynqbIqZbujd3mMpDd944e/577/wef6XF77CxSikahvastp2rXIb\nrgxBlrK5mhEcjEn3d1g/Osd2yjFZEI7Z0svQxrj80KZzLoPWug3GsnFddKfJbx2QH+4S9FJkGDjm\ngdL4UeDEPp3zVa9mrnP2o8AlLfk+4SBj/fCC5f0zVvdPQditcCdg+PRtrNJ0q8IxZpTCCwPCQQ9h\nBe3azatVq2hWG6rpnKjfIzt0XW49X7k7idB1y13Z0JQVy5cfUp5fu32DMMRogzUaGYc0qw1oS6wt\nw4drgnlF5gd4W8aOsho/j6lsRxAERL5P0CgWVclZuaQrKo7CnNwL6G8UWWM4uHVMtjthf2fCv9e/\nw3Eh+WX6/N7HPkkUhvzTWx+Gh9cMGsMzB8c/saD/pPN8ECYY/brRV6xfp+K9l3hSv38fdHg/+SU/\nGffu3QuA/xP4P55//vn/8a1e8zu/8zv/zdXVFXfuOHrVl770JU5OTn6mj7/97W/z6U9/+olZzyuv\nvMJ4Z8L52TnffeH7vGo2DIfOSOnB2SNOX3yFj3/owz/0+4kVfOF7f0sVCmQSUeiO89NTFq88xByN\nySYjiqpErGt+49c+xaoqOD+/oJjOiXZHNMOY6WrJar0iP9pFhgFaK+rrBbZTFGdTVO02JGXg02wK\nulbRLtao1qlDrbFObNQpJ60Xgnq+euxFrrsO03ROrWit28AsaxCC6nJGs147nau1BGlMPV+RjPuY\nztEFs+M9zDav1CiFLmqM1niej24V3lZuL4IA6QlnxCXd8arpHNN2j2PtPN9DlRWe77s0JGNc2lHn\n2DRdUdJtCrqqIRn0iEYD/DRh9fAUrEVXDd2mIt0ZIcMA9eiaPMtJ0oSyquispmlbEOBpQeYFtNt1\np/0+XVHRNg2yaDma7PKx0QHLFx+w9Ay7T9/G93ya+YpHF+f8B899hg/tHHD6wkucnZ6ys7fL//73\nX+H7rHmwnrOxHQMZ8O1vfPNHnl8nJyecnJzw/RdfZB0Jztdz/varX+f89Iw7d+7QTzP+9q++xvX1\nNbf6E57bu8PXv/q1D8z3791UgP4s8cUvfvEt/74/+7M/+2/fznHesSD43r17AvifgOnzzz//X/6o\n1914v/x4PJxd8Z3VOdb3yDt4bnKLv5qd4CVOSlxUJb1Sczic8KGdQ+bFillTknshjda8oJb87fUJ\nIg5RTYt3XTCIEwZ7E/Z6zlfk/PKCs0enXKoSkwR4aUKQJ5i6xY8CmtmaZNin2KwRgTO68vMU22ma\n1RohpfMxiSK8wCNIYlTbua7eWKcUTSLn11K24An8xHm1hFnqirxWhLlL/DFKs3l4QTxx6UPl5ZQg\nd1Fr0aSPlE6x2q43xKMBXVUTpLFzOFys8ZKQYNtRGqVp1+WW9126Dr7u0F2HBfKjXVe4m4Z2VWKU\ncjTGPMMo5VSvVU12uOu8QKqGer4mGvfdHoEQLE/O8H3f8dUF6KbD9ySBAh9J1ssoPEsUhKwurmim\nK6wnCPoZumpchqo2+MLjuTvPsDNwToYHJuATh3f5y7/7a84jTSAkk7xPMV3QixMaYcnx+fWDp3lp\nds6/XT9ChG5cYjYVnxnf5tdv/fBo7o2om4b/7/wlTLwtgHXHv7P7FHn607NhnlTc+Km/Ge/GTP1z\nwH8GfOvevXt/s33uv37++ef/73fh2L8w+N7yAi91BaoO4MFmxq/09/je8pJNVbFsNqSHxzwSLd//\n+6+T7AzxggCrKsJ5SZdK50pYNxTXc7IsZ9nWdHWBJz3qpuG7lyd4w5R6WuB7zhbXWIsvPQIjaJWi\n7VpXoMPABSNLD2+QYK2zGajmK6IwAOshhHtPt9kYYZShvJgSDfskeyN05bxSrNKOLVLVRGEP1TS0\nm4JmWZDfOUCVNfV8TX58AAJ3kYkj51durAuDbtuteZdEgDP3CpyH+eOoOu1m8NGwT5DFYGH2/VdJ\nx06hatoOP44pLub07xw4y1ulsMaiyxo/i6mu5niJE0+pTUm6PwZj3SaskCQ7Q0znrHt11SJ8SZD6\nCOFUoDbwXBi2J/H2hoRx5O4srCUaD0ikRzNfP8771Eoxip0fy2FvyA+uX8X6kq6syLSHmcQEQAN8\n9/oRnhT4QvKa7tECofjJN9yz9fL1gg4QB1xv1j8XRf0Gb8Y7LurPP//8l/gpZvM3PPUfDWstyujH\ns7CTByfsHj3NrfEex6Nd/s0L36KME6qqIk1TrkXLoTVIa6jaBuPD8mqKMJq6rjBRgOjFDKKMzdWU\nsrWcruau6w4kBBJrDMWjC7KDCUZZ5hdXmFmB2OkR93LKZk6QuqSg13JAm4Uz4FLb3M1m61MufA8v\nCPBCSbepaOZLF91mnZimK2t006KVpp2viXZHeIFTU1pj0E2D1crlh0pJ17SIIKBbl46ZMls6yX0S\nOopkFCLbDqsNIB4bUHlpjLd1jsRCeTUjP9zFSyIXarEukJ6Ht3VNlIEb3VQXU4JBDpZt+HWDFB7R\nsOccH4WkWa3x82xr/SsxnaKeL4jGY6QfsVou0L5EVluTs7ImPdol9Dyq+RIvS1BdSxdEaE/QXMxY\npiW7Ycbx0S6L9YpT0XL34IiyqfGsQJbtm86TDsPtdML9asllW9EaxW7n8ZHdHx9g8aUvfYlP/Opz\n2MX09Q5fadI0fHdP5LeJJ+X79/OGG++XJwBCCA7CnAujHKe7bjhK3Sz9O6evcuZ3rIBFteTIGIR2\nfdrJcoryBWa5YRDH/NrOMfcfPuBSdiQywPc8ersTfpURndacJ4ZiU7rwYSnJjnapr+Z0yw29Z29j\njy2bsyvatoVW0XTKMUX6mUuaHw1oNxu8KHKFE6gfzUgPd1yAhNaEvZTyaobtFKZuqattqlCe4ymF\nTWLK6xl+GCF8ST1d4GcJ0bBPfTXDzxMwhuLU3blsTs7JjnYxdYsXu9DpME9oZiu8NKb1JdbYrUWu\nR3WxQOAhPMeKkUHg7AtE7Ob38yV4kvWDM8d1V5pw3EdKiVYKVdZu/NNzf7PoNGEWoXwfz5OOS97L\nkNYSpCmdhFgbPM/HGkvQT+g2NfVyTTIZ0PgeSEmzWBLfOULjUoJO6zW/+vRtGgvfevQyu3GP2io2\nVc3lck4lDOpqyX614u7tOxit2Q/77I8m/DPP47pcEwqPu3uHbyn9/4cY9Pp8uC54aX2NAe4mA/be\nwhrgBh983PipPyF4LSe0Nh17aZ9xf4C1lv/n5W8h84Sz5YzCKOKy43N7T/P1qxPmsUB0isNswPl8\nyoduPcVyteS8KwmtIAhD4kbxn3zk03zl1e/z1fKM8/WSbquKDHyXTq+NJpkM0W2HFdDMFkjpUZ9c\n4g0z8DzHgMlTkMJ5n3sSqzXl5czlfAaOT7565RHRzpCol2GUZv6D++SHuwiEozlaR3H0ogBV1iT7\nEzanl6S7Y+dy2ClnMxAFdOuKeGdr0mVBeBKkwCpHZTRti+4URrmxDNbixRHtck12tOc6/SzGKg0I\nNg/PIfSJshQvcnsP9WyJlILe7QNHlQxD6tmCrmiIhjlWG4a7E4rrGSJPMNtN1a4snb9Mq/BmBTaL\nyI/3XDBI11E+uiDu91ACRNNhViXhuIf1fXwLWZKyH6RIz6derfhEfsC39JwmkszbClt3HAyGqEbx\nXDTiw3u33uSeeIPXcTNTfzNuOvUnBEII7u4d/NBzQkhmmxVSeuwGER/tDfnI8V0qYbjfrCmDlgbD\nOEwZNJYs7iOu1ywDg193jKIef3N5wl5vyO/FOf9q/m3OQg/r+dvsTrC+9/jyLgPfcbL3hsjboJSm\nni3Ibh9gmhaEk8u3W6dG0ynKiylBmrixRRySjPro2rE94tEA4XmEeeYohVo5yb4Ujuc+W2K3EXAC\ngTKGerEiP9wjO95FNy3tsiQa9miWG8J+RrsuiCduhBMIN35xbooab0uLFFISDjLq2eoxG6d/94jN\n+TXRqO/GMFGAHwaopkP6vvOtaTtkEJDsp/hhiNWaVjuhlBcFtNcLyCDIM6QQaK3p9fvU0mCNQW3/\nFq0MSiuE7xMFATJO8fMeMvTQytBuKq57EhmE6Dzgr5oLwk6jNhrrG3zfwwtCPCE5Gu7eFPQPKD77\n2c++6U6qaRp+//d/nz/5kz95z97zxk/9CcQb1yXqhuuqYG1bXj65z/3rC148f8BxPuZyPWchNHPb\nUbUNH9+9hddqLnJoRymXquEk7JjJjm+Wl/z17IQm8fC1RVhLEDjL3uZqgaobtOooL6eEA5dEb3yJ\n9QT4zq9bGU1XVBQXU7qyckVauc7Vi0OsNcSDPhanBLWdRkjheOqNy+QsL+dUsyV4HtGg5wyxfM9t\nOnqCbGdE//YhYDFNu72w4WbvXYdqO6yBbuVsCqw2mE7jxyGm7ZCeM97q1oVTg0YBUkjSgx1k4JOM\n+9svmXXF3/McF38rShLbuxIvCFBNQ9jPaasasSgRVctgbwfbdNTXC4rTK+ymxU8iwkrB9RqzLAiV\nc3n0BpnzVJ/0aUxH3ChkZ/Cqlnq5oepa6qYhDyP8PMEkEZOsT+wHhFHsNqA7zW7600XK/TTn05OE\nJ3Vd7ya+8pWv8OUvf5kvf/nLfOELXyCKIn73d3/3PX3Pm079fcJ0tWBeFfTjlL3BTw7lfQ0ijrjr\nxfzg5GVsP+Fls8Y3BePzNeO0z7ooUEYz2dvlu6f3eaVd4ufudrTyLSGadVkwty2hL2najtYo6pMz\nsjgj8gPGe7tsLuaUmwJjDcmOAOOCoKNBvu1oQ/RSEU+GrtBKSTWdE477dHWN9DzCNEEGHt2qwE9j\ndNc5jnrTIrPEFdU8Jd4Zoooa3bqc0uLRJWSSJB8hPInwJH6QbKmMfRAV5fk10ahHM1+BMZhOOcuA\nwCOIY4zWRJMBumtpi4ooS9mcnFMtVgyevuWET0ZilKFdbQh6GaJzZl3p/pjqauFsevu583jpFKru\naBZLsNBLU/b9PqtO03WWrN/DTxK00XSeh+jFJNbD6Bbb1iQ7Q4QRWKOxnSUMIn7l1oc4X025KBp2\ndyfIMKIOJVYIIi2c8EkrjmWKKRRDa/jUwUeZ/ITQ5xu8M7zXcXav4S//8i+ZTCZ88pOffE/f52am\n/j7gwfSC72yumXUlTdNwl5Tf+viv/cQNrvP5Nf/q/ncpTMerxRwxyvEs9Fo4sBFrqdFZhBf4bIoN\n8sEcHfqsfY0OBE1ZMR4MGQQJl7ZmdXaFTSOiUR+UQi0LMi+gaxRd4qE9AVK4+Lf9Her50lnK+h5Y\ngWpqZ7SVJrTrkiCLXVdcVNjOKSdNpwCBFwaU13OiQU63rpz51/4Y2yn8NMEaQ1dWGKXACuzWS0X6\nLsvTOSbGWKVoVgV+EhKNBmweXhKPc4IkpSsr/Cxh9dJD+neP8SKfdl3iRSHdpkS+xtjxPJKdIVYb\nrHDK0TCNKc6uSHcnTmVaOYsDLDSLJUJ6qKYlzFPUasPTo31+7+4nqITmyycvUmYelVbY0EcvN/jI\nLU3UR/RTZvcf4u2N8XyJKRp6q5Zndg/p9fucLmfcOTrmYnrNyeIKPwgYWB8vCjkYjJlYn9+4+0s3\nBlo/Jd7JTP29jrN7I/7gD/6AT3/60/zxH//xW/78Zqb+AcKDYsF1u6GQFpH4vLhZs396/8emyDyY\nXvDV6xMWtuXBakpRbBiOevhSMrc1AYK2bilVhSc95sWaYBCguxbjCfw0w48CZudTutGAq4sLjCfp\nDScYrVFNS1uVqCQhzCLapkbKEM/zQTp2iPAk0bDnzK+MK3ZesOVnC7FNAaqdynS1wWBp5iu8KCTo\npSSjAaptkXFAlIRIKSAOMV0H0oUse0kI2hKOeui2o11uXMcaBWAhyBIQgmaxBrsCo5F+gJDOWmDz\n4BwLqKZ5nKpktHbc8NYJj1RZwZV1m7xx5Gb+befCnqXAAiIIqKYLsBBP+lhtnVjIl0RZSlcZPn77\naV68eIjXS0jjgOXVBfW6xRYNMgwJk5C409C1ZElKvSgou5aRF/HLH/0lIunzmcEx3xAeRggOdnbZ\nG0/wz+fMEslwNAQEG2u5f33O03u/mE3Q+4XHcXZ5QgCsgBcuH70n6U6np6d84xvf4E//9E/f9WP/\nQ9zM1N9lFFXFDy5OOblymY6rzYb1Zk2lusd8aikFS9382HW9Or/mUlWIQcZgZ0LU78Niw+r8imqx\npOlaWqWwgce82hAMMoQn0BKMJzFVgy89yCLq5YZoMsQYTb1c01UVplWkh3v4eUJnNeFkgFVO4o8x\nJLsjwl6O1RpV1DTLFUhJcXaBahuqqRtXRP3M8cU9wFoGTx+THe5QnV87O10pENaJhVTd0RU1uu1Y\nvvSQZrmiXRVEw9w5J8ahC7TeFnPpS0Cg65Zk10nywzyjXa5dLFzXEQ17DJ46RG/n634WO7+XXkaQ\nJQRxRLo7Qgaee43AMWW0IYgi/DTGT2KCOCIa9ty4xzimTZAl7neaDmktX37wAmfLGbtJD72p0Erj\nJTH+uIccZWgJqu/i847yMcfZgDsHh+wdH5LEMTIMKNqa53Zu4ZctelMybgW/+tRH6PX7vHbjLIRA\nm3cvD/RJnV3/rNf1WpzdG/Fux9m9hj//8z/nk5/85Pui1bnp1N9FbMqCL1++ik1CrLb83XdOkIOU\nKvaYnc3Jd0fIVrMb90jEj/+vr6oKmTkueB4nFFEJZUuYxIjQxwYhxaxENgIpBV3doIsKA3hRgAgD\nWqNo25YWS5z26KX7NPM1TVnjh8GW2+2KqSpq2qJGVA3dYk3vaI9242h7CBClT7epiEfO69wqTVfU\nbpMyjdGNE8o0qwK0Ib9zAErjJzEgHEMmTx8HQ0fj7UXEWpcZGkduFp9EWKsxbYcXR4/9yY3SBEmI\nCX3KyzmycF15fOCKYeR7rE/O6G0VpqpunaoUl4Nad5pmtUFVLWYywLQdYT9HAlbpreio3oqXIlRR\nYwIf0TqeurHw/97/HkZAmmZErTMy9vyApioJtipU0bZIXxJLj0FvyNQ0aKwzNmsU470+aZLwW2+Y\nk1tr6b16QZG4WDVRtRzu/3hB0Q3eOd6POLvX8PnPf54//MM/fE+O/Q9xM1N/F/G98wc8EK9Hx71w\n8YCnBrtEccxmveLq4Rl3Do6YpDnPHdwlCn+0ou/86pL/+YUv04UevoG7oz2u7z+iOhpghKVoGpbX\nU2dA1XUoo133PepTrQuiQQ+1KfEt+FmCFWBDD6st8x+cMPrwU6iywk9jrLG0ZUmQJBil2Dw6Jx4N\nXeH3JH4YuLl25GT5wvcc+2W5ITvcRXgSXTW06wJrQbcdyc4QVTdIKV2YxfUCLw5J98Y0s9WWE2+R\nVqCUwgtD/CSiW23w84Ty9NptZnouYei1EAwvi2mXG5r5ijBPyY52AVBNS3l27TZyt4wbo9SW3RI+\nfn8pPcqLa6wQmFaTHo4xZUO7KUkPJtiqQQQBcZZhFxviIKDtOpfQNMoRyvB0NmKzWfPq9QX+0YR2\nU+JlMWrjNmib6wW7vQGj0QgxLyhVyyQfsGdDxrs7SATPDvYY9fuPP2+lFPenF2hrOR6M35GV7i8a\n3slMXWvNC+cPaY3mIB+y/x4Isr75zW/yR3/0R3zxi1/8sWu9mak/gfihWZY2CCGpm5orVSMHGWEY\n8uzo4McWdICFqrl7cMy0LQFBuunY2dnhOvIAS9W1dE2DF8fE423e5aqgK2uiPMU2LVIKZBxhMFhl\n8bMYZTuygwnV5QwZ+TSXJbqsCYc5pnN87fxwDxmECAHVbIH2fYzW+CMXhAHOaFE3r0n1XSFXTUs8\n7GExFGdXxOMBwpM08xUy8Eh3J5i2pZmvSPYnBGm8VYnOUEWFVS5JSAY+qmwIBhm2ciMW03UYY9k8\nvCCZDBG+dJmo04WjHa5LdNdRXc1JdoY029l8POpRz9dopUj7Y6rpgnDUh04jJxH19dxx1RdrdBLT\nz3uIuiOsCiZpH6UVV1Ij8u0dkueCsD90dJuL0wtWp1eIOKSaLolGfXRVE4YBkfTJvJBLNefjTz/L\ncr3kB6rmoFszzHr89fwBn7K3yLMM3/fxfZ8P3XTn7zvejzi7z3/+8/z2b//2+yaSet869b/4i7+w\nn/3sZ9+vt/up8A+9J8q64mK1IPQ8jsa7P5X8+o3ouo6/evACVeLk57OHp8z6PpuuwTPw4cEuWd6j\n11h+485Hfuy6uDXh1W5NoVrWTQlVR902tFZjpcT6graoUaFExuHrxXVrNqXKyomGRkMkgkYrgtRR\n/4I8Zf3gDD9J8NMYsc3frK5mhL0cL3Th0cKTIATF6QUiDPEDn2R3tHU0bOg2JeHQeaZYY/FCHy8M\n0UrRLNY08xXRqO/cG0OnEBVS0DUt8ahPkMZI36NdbehWBcGwh/Q8rFIuLQloFmvSvTHtqiAeD1BF\n5bjqXYcqWrRWTt2ZJghfEmYpMgjotnYIqqpACPp3j9FtR3F2Re/WgaNFtgqjNLqu8aLQGYH5PkGt\nGBaWj37kI6ybku+c3wcpsb4kjmP2w5xnZY/7Zw95OWhoMY45JCRSKSIZcMtPwAt4uLjGaI22Fn/U\n4zjMubtzwOlyStQYhnmPj2Y7PLPv7mIfza4o24ZJ2mPcH7zdU/pHnk9PosfKu7WuG0Xpm3HTqW+x\nKQu+cvkqJgmxreHq4Zp/cvtDb+sYQRDwm3c/xmy1oK5r/u42RFXF/WWB108x2y63sz95M+ZqMWeZ\nWda6QgWSar4h6eWo2o1MvLoDC8VyTegP3EZjFFJez+kf7OIPegS9jG66ZHR8wOlL98n2d5wLotGY\nVhPuO/HNa+OKaNSnupgTTfpu1BEGdFWNDEOyo13Wr546IVHbkUwGeOO+2zx9eInfT/F8Z0kmEARp\njNXG8bUB4fu0yw26M/hxSJglWGsxncZ0GqU19f1z/DQmP9oBXN6n9CRdUeKnji6pmo6wn7F69aEr\n4NYnzJLHNr/uNQ26qp3RmOcTjnqU51NUUZLsjgnDEG001ljK82uEgN546Iy6tMGLQ/zKiaKGfs4k\nSCnoSJWkp0PyRcOLZsUm99CFJmgUgbWEnmMB7R8cgBeg0gAKDzHJ0ddLhLBcV2uGZUapOyb9EX4S\n80I15biZ8Mrsgvu2QHo+ryyXPKc7DkY/OqbuBjd4K7xvRf1Jzyh9sJpiEjcSEVJypkp+Ram3LUiQ\nUrIzHHM+vULg0+/3Oew6Fv5WQm40e+GPtzv9zd/8TT7/ra+wnF2yUS2t6hDKIFXrPFCKhiSM8AZD\niq5D1w1CepRnV0STIVoCTYMBrBSs2wZd1FTn1yAFSiv8yLkghv0M6Qcu0ASe7AAAIABJREFUCLoz\nRMOcerokO9xxm6+tck6OVUOyO3IdeRQS9nN02zm/lCSiW2wIs/R1K9u6BW2QnufueKQA38PzPMIs\noVmuEUJQXS+xWoHnkR3toJsO1XT4W7MtGYfUsxVBmgAWP0tdBF0QQNUggwCz7dCF5zlu+vyK7HiP\n+nrJYH8X4XvYOGVT1CRZSr1YI9PQBXwkIdIP6NqGbhucsdlU2FZwcnVOL4zRytColiDNSJTlYrNk\nfZBT6w7ZS/BUwScO7/LPDj7EMOtRty1fePnbyDijSAvWGPwoIK4d1ZJNzW6cEifbdKHAo+06HtUr\nZOr880UY8rBYvCtF/Uns0uHJXdcHHTed+muwvGkY9Zp/+NtFVddUdcUo7xOeXtGlATuTCcHFFU/3\ne+wFPW7vHLzl71pr+e7pCVddycvzc/K9Earc0FaGTmp03eC1mnA8ZHU+QwhIhzmin6KsxUsiF96M\noxBKzwMpWL30wIU7p7ErcGVJVzb4ScT60SV+FBDEEcLz3Oam57kO3lpEHIG2ICRCWqTvO6+VxRqE\noNu4lKDXZPZ+HKLq1o15+jn1YoXn+wgp8OMYtMFos52b10TD3EXWbbvssO9CMownMUaDMkTDPtXl\njOzWHp7vU1xOifoZgfQpZ3O60ilB/SQCBEEvRbVbCwFriEXgOuk0h0Zjhzld26LKhv6dQzZn12we\nXNC7tY8MfaJJn7JsqUzHo4trbOCxu7+P53kUVcuVKglNunW7BBtIskGfeVWwMxiR+z53h3uc+x2D\nMKGxNXEQMxwN2V1bfvtDz/HV6/uPP/deK8izDHkleONZ571/jOMb/Bzhhqe+xdPjfcKycyMBpXgm\nGb3tLv3k+oJ/ffEiXysv+crpS/zq5JhjE3JkQn7nmU8QBQH3iwVff/ADqqb+od//+5OX+U59zXfP\n75Pt7TB/eEaz3hDHMWm/RzrsI61FdorB/oTj8R7ZaIgtG2fOte2CddUAruB6cYjWhnh37PxcsAR5\nhg18NufXeEFANOjh9zJkFODFEeHAmWchBFZrV8Alznv8euHi7pTCdJpqtkKEIb1bB3h+gPB9kh1n\ngxD0E6rzqQuQrhtMVVNez+g2GxcIrTR+muCF/tbkyyUrIQT1zHHYddexfnhOvDdCFRXF+RRrodlU\nbKZz0tsH9G4fOD591WBax3ipzqdEUUTmBWRRhMhiAj9Etprq0TXV1Zx43KeZrxACwjzdMm1CwjRG\n5in7YUY/TrabmVsjM2vIghDbdFsv+I6wtRitycP48Tn1K0dPcctEfCyZ8NRGcMfPuV37/IuP/hMG\nWc6nJ7e5ZSPu2oTP3v4wQgh+abiPqRrnBFm2PDt+d+h1P2s++I/Ck7quDzpuOvUt4ijin976MNPV\ngigNGb3NTSprLd9dXeBlLoG9SSWnxYJfPnQ76987O+HUaxG+R4Xlb8/v8xtPffTx718sZnx9/oi6\nH7L0LUdSMhgNmBeFC4UwFj8MCUYTev0eotMcDyYUZw9orKBZFdRNQ9TP6JoWtAbPczxxX9JtSify\nCXzAEvczbC9DNa5j7+oWYS1+HGIRmK51BlcItO5Q8xXJaECQxnSlswWwwoVFZ4e7YC3RqEc9X2G1\nm1cvX3xAtLXO9cMQbVvCQU51OSdIG6LhAOlLDB7NYo2fRKhNRVsUCKQLpt5SKqNejhf6qKalup4j\nEESToeuWcQZi9WzlfNG1Iu8PibMYr1Es1ldIA1kYuDi6osJPI+rpAhmG+GGIlNLdqVQ1XpYiqoZ4\nJ6XXNVRVRe01NKZDXa/wtaGdrimqgiAO6Q12GJeWw+MdXtp+nlJKPn7kPvvPPf2xHzpfhnmfYd5/\n03OHox3GaY9NVTLY7b3nXiQ/LzDGfOAtFax998RmNzP1NyAIAg4mu//o4xnsm2599BtGOGvdIgLx\npsdvxKvrKUkSUyrFcDyi6QwHMqU1JYuyAk8i1iVHQUZUdAxHI8Io4unRDg8uz4g6j1cv57C1iLVS\nYpuWer4kHvbQTUM10wTbMUfQz2iWG1RRoQc9F3ohBNV04XzThUAKiQg8ksmYzdkVaO1UlFFIMhrS\nLNe0ywKBdd1707pueaOQvo+fpVuvGCdACrKE4mpO2E/pHe/TrkuXQS2E47hrAxbS/R2qqwXJZIhR\nmmjYotsW6bvM0iBxjB0r3JdBRs4yV1cVIo5IkgTRaYSBtVTYNMQKiU5TchmwI2AnyrhQFQuhsEmI\nkIJ2uaE4n0Kc8KmdOxTzObnw2Gwazs4eEUYxo8NdrAV/uWKyf8yzyZjxYEhVdW95Tr1dRFFEFEXv\n6Bj/EE/q7PrdWlfTNISvXZjfJmPtSYC1lqb50Qrzt4ubVuBdghCCw+D19CLbtBwPX79A5F7A3DaP\nT7rcC3k4vWTZVvR89yUeDoZ00ylV2xE2moPBDmd+i1cWoC226/jl8T6jLOfFxQXLdcEvj494VD9i\nLlqSgz2q+Yxo0HeblW2H0W4sE02GLo3IGMJRn3q6dAUyT9F1S6c6p8QsaoQU1Is16V6AVFBezEj3\nxui2cy6KgU+zWlNvxzKqbYmSGNNosJrekQuLaJZrZ6K1pVu2VYMqK7zIbUjH4wGqrqlnS8eYyVOk\n76OqGquU84FpnXWBUdrdIRiDMZZ4kNKuC3TT4AUhzXxFur+DaRReHKF0Rbo7Yn09c39zP8PzfUyr\neOrwFsXpFVGj0LIGXyB837lSpgm38xEf27/Nq6bgcjnlYT0neuqAwPe5XqxIBj2MAC8KuahWjAcD\n1D9yD+YG7xzvdlH8oOMd37Pcu3fvX9y7d+979+7de/HevXv/1Y963ZM+U3838Ku3nuFj/oC7NuEz\n49tvskz96P5tDlVAVCnkbEO33PC3m0tOZct31YKzi3NePD1hrmvmj875rbsfJ5SSymqyYZ9s0CeI\nYr569gO+tjrDxCHBqMdfnb3EA1ugAw+/F9N/+hg/TwiymGjUd3FtvQw/jgiyBNN0FOfX1LM5QS+l\nXZfIyLFfkp0x+a09dNUS9TO3bywEvWeOKc+vCPIELwxYn5xTXs9JxgN6dw5Yn16xfnRJtymdHW3T\nuU3PPMMoRXk1d/PxpnGReOuKZrVBV07qb63FCoGqavd81+FFITJ0dEQ/iaku51RXc9rlGlU1tPMV\naEN1NUdYSzwe4CcxqqmpigLjC6bTKUqAH/rEVtL3IvphyrRcs3P7mNu3jwnKDq/saC7nSARJErN3\ncMDXHr7A389OeaVa4B2OUdsIQZvF1KsNSRCiigoR+rRN+5jR9CTOiZ/ENcGTua4ncU1vF++oU793\n754H/HfAbwOPgK/du3fv/3r++ee/+24s7oMGIQR3dt+a2SKl5BO3nuZvTl7iaih5dTWlupwShgFt\n26ElPLt3i7pruFxX6E5Bq6nPp8hxjjTCzQ5HPXQWcNVULB+dURYVrTBIsWWrSI8gS2hXxeNg5XZd\n0CxWxOMhQS/FzJbIMABjGDx9zPLVh8TDvnNPFMK5LOYJYZ7Sbkrqqxm9pw6xFhDCKTZXa2edu9Tk\nu2PaTUXbtHhJ5PxdAh+LIRmPaFcbomEPu6UYGa2Qnke7KWnXG4IspSsbrLZI31Ezs1sH7rWdcmER\nWUw07CGsc2Rs1yXtpiDq53ieh0xd4bfakExyuk1FkMWUlzNEL0XXBqF9sILJYECcxKybEuH7znjM\nk6iiJEv7hMLjlXKNGO+iijXChti2Q1uBrzTF2RVmNMAvBd264Zd+6dnH4qEb3OBnjXc6fvkM8IPn\nn3/+VYB79+79r8B/DPxQUf8gzNTfayxWSy68Fk/6eEKyjiFQLTIQKN+j0x39NCe9+zRfv7xPf2/C\nzmrM1WpJoAzpeEDfi1gvVyy7iqKpqKsCPEkQBq6g1g20Hbp1G51hmhANXXLO+uQMGUcItgrQOEJ4\nknjkNjNV1WC71lEC1wV+EuNHIZtl4RwbrcEqg64bunVJtr+DaZWjT4bbuXbTYbqOtizx03S7AWRB\nCFTZ0BUlAoH1HAUziSN02xKPe24sYyzx4Q66qQmyIdL3aNYFUnq0i7VTqAYBNktI+znjrEdRVpSX\nZ9jAIx464ZSMAprZymWGVg2dVvzS0bP0kozFdmRdVCXx3pDQGHwJbVHSHw2ZlxtGcc5sXSJzF9YR\n9nq0ZcNOLcifuYuN3UXxIOi9aZb7JM6vn8Q1wZO5ridxTW8X73T8cgy8ca7ycPvcDd4Cb9zhHgQu\n3d5oQ+JFyKLh/vKaB8trLh+dkk4GXM2mhOM++f4EORmwnM5Z6Ybag0p1FNOFE89EAdVsQbPagDao\nusV2HdXZFcnukCBN8OKI/NY+XhTSu31AujNyhbyoCfsZ9fUS3/NcMtDS5Y/W0wVaa+cRs9oQ9jLC\nfoafxqS7Y7CWsJ+iO7dJGA16+Fu5vR/HWKtYPThjc3pFeTnDdB1WabwkxBpFu6kor66ppyussgRp\ngh9HhGmMbhXdpqS6XlCcXeMloRM/tR1CCOIoZhTnCM8j7WXE84Jo3EcrhTbmcXiHn8Sku0PMIOHl\n9YzYCGhajDHM1ysCz0MDqR+QCh+lOh5cnuP5HtV0jqcNURjhzTakWrAzGNDr9xjGKcM0R/ge6j2y\na73BDf4xeKdF/afm4fwizNR/Eob9ATudhzGGLEnorTs+lE846o8I44iw0vjKcH15hVGK2mg6rdGe\nIE0zwixF+QKpDZ4VRMM+yd6YMHchyd26BG2I04Qkywn7LoBZd8p11HGEFC5cwtqt5WzgoTuF7lrW\npxeoskFtSifdbztWL56gWkWQOJ/w8nLqaIQCjNKounX/7hTdusBaQzTskR3sIDSEaUzv1gGqbujK\nmmRnRNTLSSYjdFkRZBnxZEC9WD3e2O02tfOTwR23f2sfLwwwdYefxIj5hr712AiNCiVGacr9AfX1\nkmjcp1sXLF56gGkVybhPGITEg5wHq2uWVcGnhreIpgVJFCORpEGIsobQ97HG0N8ZYcc5gywjjSIO\nRxOeeuYuoyxnbzBGlo65ZIwhbA37vdf3Tp7EmeyTuCZ4Mtf1JK7p7eKdjl8eAW+cq9zGdes/hIuL\nizcZ+Lz2n/ezfPztb3/7fX//z33uc5xNr/iX//bfoDPJNK9ori7oOkXW73M42aMra66++QJXoSK8\nvUdoodE1bVWzd3yIKFtWbBC+xBqLDHyXQlQ2hHmKaTqMsHhJQnExJd0b05Wl2xT1JapqkL5HNV24\n6DY/JNvfIcgS/DCguJhRL5YkkyH+/gQhParZgmQ8IMgzF1m3tcS12lJfzemalvxwl6ifocqKdl25\n2DzAT2IS30d3LUiJ2Jp4JTsj/O0ISADrh+cEcUw0yLGqc2rVdcng7tHWpKzGU4anhnu88Og+/sEY\nrbV7vp8iOs3q1VP8NCYZ9PA6SygkPoKq68BqylHMi7NzvvXKC6yO+phWoVRLeT5jFGd4g4zewS7z\nqymTOKdbthjVMJ2e8bSK+OxHf4Ps4oS//u7fEVuPf/7v/y79LP+hYvAknN9P+uOfxffvJz1+DU/K\nev4x46B3ROq8d++eD3wf+OfAKfBV4D99q43SXwQ/9Z8WdV3zxYsXnWwe5w5ZLFfs7m8VhE3L53af\nQQjB105e4O82l/h+QN+LWKiKW5M9/vrl73PdFETDHs26cL7hCNqqwk8Tx7tel85TXEq00ZimBemR\n7Y4c710I6tkSYy3peLAV8giXjNR0JAcTdN2im5auqJBhgLCguw7Tuq5ZVQ1B34VfOKph7nI9u476\nck6yN3bGYGVFdTkj7OeEvWw7zkkBZxGgm4759++T7Y8J4hC/l2ONoTi9IMxzF4CtDbZsyJYt3Sil\n8kHEAapTFKeX5LcO0GWNnydEHfQ0aF8S+D74Hod+xv5kl9nlFaezK65tS74/QQjB5gcPuX10xLzY\nkI+HDMOE3XzAszLnmb2jDyT/+QY/H3hfXRqff/55de/evf8c+Je4QLP/4ReB+TJdLXhxcYnGcisZ\n8NSPYLy8hrZtabuOLE2d0EZ14HmPf57GCf2N5tHpKZ013EmHeJ5HFIb8ux95jk+WBSerKfPNmtt+\nhigM48qyjAIwFmMNNArt6Ck0yzVJv0e6O6KeL1FtR5DGREd7FI8ukXGIblo3jvF9dFU7K4HMhTlX\n10t6x7vYbnshsBYvDIjHA8rruQvKyFPCQY7p9Nb/pSQeDVxaEQK0k9BvLqYkwx4y8MmO9qjma+oH\nZ6imw7aKeG+EVdqFXvQThJT4aQKdwhOC2Aj8PKW+ntMVFZ7nodIMPw9pZwtE66OUdtYAl1N03ZJp\nwyAfspdmXM3nBEbhxxE7d8asq4JpV2JHGQkx1eUUiaR3uMPOYESaZWyu59w53mPHxDxzcFPQb/DB\nwo2f+tu8vWnbln99+gIkjkJhuo5f6x2yNxi95etfvjzj+8UVBB79TvKZW8/i+z5/9er32CQe1hrK\nxYq0BXngjnHy4IRf23+KT95+9vFxTmfXfKe4QoQ+xhi++Td/wzz3aE1HtdyQP3WE2EbD1Ys1YRxh\njaXZlAghSQ8n1NdzmlVBtjfBT11UXHW1IBrmGKWpp0tUVRONBvhxiPQ9gvx1kY8xlupiQTTJScdD\nvCRy1MRVyeb0Eqs1+e0Dp1jNErqiQncdqqjIj/YAt1ncLtbgS1RRY4UliGOk7yNDn/Urp+S39hFS\nEFQd4yjjSpVoIQiHPcrpggCB0ppwkGONpSsKwl4PtMKPIrJSg5SEScR+PqD2YDGbk0mfTAaMRmMa\n0/FqtaDbVKT49CdDnh7uIYRAbUp+9+6vcP/6nNYa9rMBo17/LT/fd+Oceq/xJK4Jnsx1PYlruvFT\nf4+x2Kywcfj4aiiDgFVVvmVRV0rxQnHlOk+gDOCV6TkfObjNZ25/mO+dnvDt6SPSYZ9Xmimjwmec\nOfrhvCn58v3vU1nF0ItQ1iIi93FJKRn1+yzrJeEox0iJaZyJl26ch0vXtOS7Y+ecmCWsTk7p33az\naWsNxcU1nudjhaXdlPhJRDTI6d3axxrjnkszjNLbIAlFuj8mHvWpruZYwGpL1zbUswXGWPJbe84/\nJomcMZrWhFkKSmOtxQt8tNLutbsT9KClna8RvuPWq6omv+2cEvW8AM/jqimQvRQpBUYpwiwm6vfo\niop6tkQKSCZDukdT0mFOFvlMjvdYLVcQ+0ybkv6gz3h3wq4OCDqNCTxMp9jzUoh89oIMkeWPO/JM\nBnzjwQ+YxwIhBCfzFZ+2t98UP3eDGzypeN9ccH5eeOrDvI+oX/dtMV1H/0fkSSqlMP/g1l1tCUO+\n74Mv2Tk6IE1TPAOPVlOatuH2rdtcrResY4lKQq4Cw/ly+qbjjAdD1NWCYjqn21SYzhVOGQZU0xWm\nU2zOrrcz7JR0MqZbbRBCIj2PZDIimgxId8fo2o1ihJTIwEf4vku0b1rn/43FiwKArbhnQHU5p7yY\nUl5Oadcl/Vt7hGmKiEKa5RpdNUS9DOl7aK1p1yUIQXk1Ix7l7thbDxqzDaBGCrpNBa0mHQ0IdoaI\nPKGpSkcdLCo3LlLOOiDdGSEQtLMVx4dHPDXaZ5z1Eb5HGEXQaVphHNOnbMl6PWIrOb++ZtnWNKbj\ndjLgP3rus9wVGUHVkdeGXx4fcWVet3QQUchpMf+pzo8nrcuDJ3NN8GSu60lc09vFTaf+NhGGIb82\nvsUL8wsMluNk9CNHL3EcM7EBy21aua1bjiav26nabb1/eHHGha5oNhWvtobn+geMewOMcRJ6z/MY\nZ3102bGWGq/9/9s71yhJzru8/+peXX3vnvvsXPai3dVqJRlblmXZRhjbxMeACSEVQsIh4Jx8gHDL\nIQRsTpIP+RA4BEJCPhEwB58ACUU4gE98ABtw4gu+yJKslVaXvc/sXLpnuqdv1V33yodqzc5Ks7sz\n2tVMS67fftB2T3XVo+rad9566v8+/xDbdTAWphE1Caffv5GLEoRIukLkeog5A1GVk2oVEu9djAUi\nN0CRs8RhRNBLOik5my0kVUkG1zgijELCXn+4mEfH7/SHuejicPYeJMv4cwaiKBG4LnEco2QzqPks\nXrtHLIK31SOwbSRVpXVhiSgK8HUNvVpClJI+o/31TYKBS+AHKLKUVLPEIMli8iB4pU9/Y4vI85Bz\nBrg+RBGh75MpFYk8n81Wg5ncJHJWZit2KQkKmWyOtc06sugyUagg+yFZI8+x8RKB7yMNnydEUcSD\nR45ufy9RFCFu3lytKx2cU5mSclekeeqvg7FCiccXTvHehdMcnZi+7bbvXDjJcSHLXKzzrrH5m+JW\n5/JV7OYWa16PSBQQZZmuEPDMhRfwBg7PX7/C82vXuLa2wpie432L9/OByft4fOp40m5OlpM+oq/Y\nGxmdzFiZ7EQVJAm30cK3BwSOl/QndX38noPX7uN0OskinkoR4pjI9VEMg95KHXutQeyH+L0BTqNF\nHIX4zoDA94mikOZLV1AK2SR9URAIHJc4SpbaO5st3HYPzx7gbrQwxsuUTh5FUiSysxOouTx+f4DX\n7uL3HfyOTXZ2nMLiDPmZ8SRdElCyBk6ni9PuAcmFqhoZJNtFi0AWRPytHgQhUlYnPzdFraKSFxVO\nZ8eYrk5Q1DP8wKl38mhhFqnroPugDCNalWGqnxILr4ltFUWR04UJgv6AwPfI9H2Oj93+e36FUaxz\nHkVNMJq6RlHTfkln6m8woijeskt8KZfnuFHhYrOGp0CmUiQGtto2l9ubdEWfUBTwHAdZEHE9j7XO\nFjIC44JGXVbpddpJXrmuJZG5QOAHhK5HZiIpSRQ1hcFmC0GSUA0VIZdh0OoQGz5BGKEX83i2h3O9\nhlzKkhmvEPkBcRjhNFo49RaZ8WRG7LS6lI7PIUgiXsdGyWUozE0ThgGh4yJndNz6RhKOVS1BHCMI\noBULBPYAo1rEabSQdY0oDJNMmDCCKE5KIXt9FE3D29wCXUm6O42XGaxvkjNyZIs5KkaBVrdNc6OL\nGIRoikoUx4RCxFrQ50cXHqXV7WBoOgPf4wWpgTpRZgD0ewNytkRbCFEEkbOVGRzXpTewKeUKKEpi\nMy2OTzNbGsP1vO2qpZSUNwMHdqWmderQ7LSp9dsoiBybmEEURRqdFn9+/knWckmruNgPmIxVLm+u\nb1eMhJ7P6YFCZWICT5NxPCeZQQchVzbX2SrIOJ6LXi0n1Rt9h35ji8L8NHEQAgL9WoNMIYcQxuiV\nAu1hSzghJhmg15uouobtDNAnyiCKhAMXr75FrEro4xW8np3E4wpikm+uKjgbLYypKsIrfrgAQbOL\n6AWoU1WCMERUE58eL4kT6K7U0MfLSaPseoP8/AzESZhX93oNTZERkZCyOjICoRAT9ByIY8qVMnkt\nw1Ss8tjkcf74/FfoVjNIkowsCKgbPX768Y9sD84X11e4IvRptdv0fBcxhg+MH2NmfBJBEFjd2uT5\nXg1UFWng8ejkUfLG7XvIpqQcJPutfnlztwt5E7HZafFka4ULXpun7TpfuvQ8ANVCiffNnaTsihR8\ngfuMKkU9e5MlIIoim/0eL3XqvLCxzHPrS6wrEXE2Q35yjJymI8sKkR8kK0vtPpI4tGWiGL8/wO8P\ncNYaiLJEMNwmCkJERcbt2vT7fbaurxMGIaKqIKlKkk0jQBiE9Nc3icMIWVUIHIfA9ZIadikZzOMw\nCe1yGy3wwyQIa+CgFLOEfoCzuUUQhoSDQdI0WhCSmvSsQb+2idex6V5fx2/3UMslNF2jkM1iZA2y\n2RySJKLns+C49Jtt1ut17IHN4+NH0Xs+ihsgdl2mJybY7LS2z11O1WlttdiIBngZiYEKL3c2tkO4\nXmrXEDQNQRCIDI0LjfUDvzZSUu4lqad+QKzZLVqBw6rbpSl4fLNXo95qAnBidp7vP/YwD+YnGZd0\nuFLjSKaAEsTIQUwhlnBDj27o0XJs3KzCenOTTq+LXC6QE1QUP8Zv9XCXNyjFKlNKjtgLCD0PSVfJ\nV8sY1SL21XU6tQ1ESWTQ7tBaXsPp2uQWpsnMTxGGPvZKnf5qHW+rg++6ZMZKZCarRJ5P47lLyQNR\nI8Ngs03Qdwk9N4mjDQNkXUfMZwiJUXUNf6uDMPwT9Pp4Aw+9WkTWkybReiGHEESw3qCKxkx5jClB\n5eHJBcYjDa83INjqovgxYhDR8F3qscOy6vMHS89wcdBkoTDGUaPCybFpKoUSqqxsn/epSpVCKKAI\nIpIfManlcOSkMgng1a0tYuHu2oqNoic7ippgNHWNoqb9knrqd8lWp0O930YXFeaHt/S7ISPS8gcI\nSrKSVJCSTPWJUgWAqfIYU+UxAL54vcn7Tp3hC0sv4RFRROZqNaQthfiCRGD3UUWBARGq6zFZKOEq\n0G13yYoaeUlFymfYuHAJaaaCRIRczIMA4UaTyPERJBCiiNzsxFChQOB6KBkdY3IMURKTkshiHjWf\n2BHiRCVJRI8h6DuopSzhwEfWdYyJKkHfIRZFiGL8XhIroGWTxMXYcRFikUwphxsESKJIFEVJCZDt\nMT02yQP3nYLOALFgoOo6lWKJsZqGnNFYatSpqRFyKBFHEW6rB7kMfQVKfkA+n4c4Yh6DarF007k/\nPjZNr7NO13Po9HpURQ1puKL3iF7gWmgjSjKx63Mkf2+aPaekHBapp34XbHRaPN1aRdAUoihiMpB5\n29zxXbf1fJ9PPfN53JwOfsC4nudYpsQjO1aN3oqvLF/gsttixe3ixiFOq0NR0clKCg/np7g6aLPu\n9zBkjUHoJbG3vs9Gv4ft9lFzWQRNIQ5D7NUNlGIOOZthsLmFKEnDq0Ag9PwkpGuYkR72BkSSQHZm\nfNjqbpAsACrmiLwAQRKTzkOiiKTKSTPoUrIwyGt3wfGTh6CigGxk0BGpTE+y2W0D4PYHhLaDMVlF\niGNmujE//eF/yPVGnVWnixCEHCuO03Btvrx2iWtOm443QNTVxMIB9C2bJxbO8J4jJ5NqnmGezk6a\nnTafvvosA1VAEgQmQ5XvPvX27YF9tblB3/OoGvl0gVHKyJGuKD1fxXOLAAAa/klEQVRAVnpbCMNF\nOaIosu71iIc16a9GVRS+a/FBvtlaRS1mkfyA48WJ12y3G0IMmqwQtFw8AiQv4tjkJIHtkMlmUdoN\nstUyggCdjR5R30dRZSJNJmoMGIQRoiITdG3yizO4XRviGK2YIxy4IIhIukowGOA1B2THq0kk78Aj\n6PVwWz0kTcHt2UnnJC/JD/ftPn53gCAJCLksakbDbfdwOz2y45UkytbxMfI5XNelvVrHrdcQdZWg\nZRP4PpmZcZAEJEWh7tn8xYtP4YQ+K81N4qzGc906Z/LjPDFzkq+3r/P1lctIqpr0JpVlAlWm6fbp\n++5N7QN30uz3mJm8kc8TRRHNTpvxcnKXNFO50Us2jmMu11fphR5lJXPLTlYpKaNK6qm/Drp9m69e\ne5kX6ys0eu3t92Xh9t3M58en+PapE5xVSzw+eeyWs8JX6zpeHKPWbFCplCnLOiU9w7W162TLRRpK\nxAYucatHGAT4tkMUBvT6Nl7gIVdKiLKMJEnouSxut5/E9coSROAPnCRhceCiZQxKx+aQVSWxTMKA\n/FiZwB7QW6mjqBpCBIHjMNhsEg48jOkq2ZlxFEGAgY8kieTGK8iaShyDrCgEcUS/00GeKCGXckQC\n+FGAmM8QRyFIEk6ri9PvU/Ntnq9fZ0V2aUkhtgLXIhsEeM/YUY6JOTJ+jCYpyEFERdIpj4+x0mvt\nei4BMrJCtLORheeT0zO7bvvc6lUuRj3qUsAL/haXaiu33O9evrtRYBQ1wWjqGkVN+yWdqb8Onqpd\nxTNUCtUyS40ahDElVeNs6c6zumK+QHGP4VDbnzFyTGcKrK03iUWfWnsLOaNx7voVjlUmMEpFcpGE\nKmv01Ay9wMP3XNDVpKF0MUe/1kDWNey1OnJGT/qRIkCcWBKFXA7f8YhFEYmkI5Oez2FUimhRRL/V\nBlkmdD3UUp7Q9dAKOQRRxG31UGUZURJxHQ81rxARE3oOQQRSHBFGMXrOSBY6RRFquYCc0ZAUGb/T\nJ/R9cmMlLjfrDKQQUc1ghx5ePwTPx9HHOD45yz95xxN8ae0iF50t7F6PubHEA7/d7GR2bILWSp/r\ngw6yIHK6ME4ms/ugvun3ETNqsk9Jpu7Z7G6opaSMJqmnvk/CMOQvl55HGYZ0RVFEoRfwyOLJ7dro\nve6n0W6R0TTy2dwdt/+zZ77Mak6g0WwwkCIQRHIZg6jR5sHpo2S8iEiTWWlssCn5dISQMI5xO11U\nIwNbNkEcEqhSEmXbbIMkQgRRr09+okokgKbpVCMZZzCg6fbRpirEYYTb72NvthA1hcgPUXMGYeAn\nGexRhCzJ5CartNc3kFSVoGOTMQyi7gCikCCjoo0Vt1vNecP2eJIg4La6xHGMKsgEioCoyHjdPmox\nhxDFTMgZnqge5dHj9wNJ/vz55SsseV2y5RK6G/CumRPomvb6vtQdfOnai/T1G7HIFU/kHbd4TpKS\nchCknvobjCRJZJG4EekVM12s7mtAd1yXr65exM0oxHbAiV6J48Nu9FEU8ezKZZqBiy5KPDg+R97I\ncnRsir7bpBmEGLkcQRgkPT9liTNamRPHFwB4UnqZZ90GOD0CSUBXfHpbXQpahoHrIRo67ZUaipFB\nlCTkjAq5DAQRGUWDgUs78tio1xEKBn6rjZo18No2mcmkdV4cRvRWN0AQUHM6ajbpttS5soacz+Bs\nbmFks4wXS/T9mMXqJJftLdprG4iVIl6nj1bOIQCiIKFICoImo2gqfqtDEIbJw1pJRBIFMrFIJN+c\nP//IfWc46zj0nQGhEXN5q4YmSDc1tGh0Wix1mwgInChPkNvDoqKzY7M8VVtiEAcUJJX7pxb3/L2m\npIwCqaf+Onj75CJFDzJOyCIGixP7e5h2ubmOZ6gIgoCoKlzobWw3pX6ptsyT61cJDRVbl3hy9RIX\n1q/TdwbkYpkpo4gQx6ixQMXIs6CXOTYzR6vX4W8vP8fKoI29toERiuQ6HmogMD8+gVTMIcoivuOj\nFXNkxsvow1gCURLRRJkxPUuxWMQe9BAMDVVXiQcuTqNF4DjoWWO4QhXkjIaiqkkaYhQThQGCLqNr\nGsW5GWLXp766hlQt0MupzBhFZowyY1KGmfFxyqhItoe60qKczaHlDSIBMuNlwq0uejGHrmpMFytI\n1QKe3X/NeXzyyScJiHmqs8aK4HIptvnG0kUAOnaPp1orbMohG3LA12pX8YYNsl+h7wx4YX2JF9aX\nsAcDAIrZPO8/9gAfPvog7128H+MW3vutGEVPdhQ1wWjqGkVN+yWdqb8O8kaWR437Xvfno1f1645E\ngSiKkCSJQRRszzSDIOBSc501XLw4xGu0OVmaQtpcg4xGwRF5fOEkoihyvrFKkNUwshqnSkX8+hZC\nPk87I6IKEqtBD1VVaTz3AsbiNJHnI2U0JFUmWGtSnZqlKGtc6rfwJBHJUHHtAaHjUj46h9dLWtpJ\n2QxEEbHjEcUxolrG69oEro+aT0od5faAUqlIplrGF8ELfcSiwWI2y6RoUFcCwjjC32hjnC5TiwYE\nTo8oiJHDiPF8Eb1YIi8o6KKCLsjMVXevH1/rtxG1xAMXBIGNsE8cx2z0OjB8HyDIKDQ7LaaqSaWL\n63l8df0ywdA/X1u/zOM7LJxXh3ylpLxZSD31Q6DV6/D1zWXIqERhxGR4o779Um2FS1EPQRRpt1qs\nOB20XBZBAMf3YG2LE0ePUYpkHj1yYtv2+fzV8/iZGxZQzo2Z0nNciHrYzoBa0Ke5sUGtsYlUKSBK\nYpKwuNnmR469k9nJKc6tLfGF+kXcok4sScRxjH29htR1qEyMs765gZzTkQQRQVWBiNB2iCURTVMp\nT03iE+HUm2T0DPlSkYAYMYoxVI2FDlTHx2l2O0yqOb7t+Eku1Fe40lhno9+l5vfJKzqzk1Osb9aZ\nGp9A13S0vs+7j9y3q8V1fvUaK9IOM6w34LuOP8R6s8E3nTqilMxbYs/j3ZWF7ecX1zdrvBB2btrX\nKTGfljCmjBypp/4moJQr8Ji4SK3bRlclZqs36tWPTcwQ1a7T8By0WKUpKcRCslCn3tlCiSJc36ef\n17m4ucr904mXPq4YXI9cRFEkCgMmtAILY1OsXXuJWNOI6zVERSY3PY5vJ001RD/kkewkbz/9wPbx\nn+6tEUk3Ml80RePEffPYvsvsmRPYnkvsBQjE0HehWCCQBIysQb9nI2kKchBTLZZpd9qUKhW67Q5u\nu891RQMpQBsv0QgC6u0tTk/Pc3p6HoBrG+tc7jUggg8duR9pGMM7feTWzyxOjM/QXL5ARw6Rgpiz\n5SQid6pSpbVms2S3EQWBk7mxmx5I67JK6AZIcvJPIAoDVHXvz0VSUkaVuxrUTdP8VeB7AA+4BPyY\nZVnt3bZdXl5m1Gbqh9mPMG9kCaOQht2jttVkqlIFEguhdvHatq6tZ77E1U6Ptu8gaSpGXmfd6yEP\nZALtxiB0ZmaBTH2VXuhTUvLMjU1ybuUK3cjD3XI5pVfpFRXqnS3qokIkwEwn4gff/cHtfUyWqxxX\nijzjNpEUCU1SKMkZsnqGpmujiDqqJBOIEUG7x9jEGIEXQhgRxQKCqmC4MYtzx2j5LvlYQlxvMVcp\nY5QyrMd9VjtNynoOXVFoewOmgUa7xcBzmSyU79jEeyevfH/vOXo/juOgqur2KlEg+YVxi8+OlcrM\n2x2u9pPLdU7NM1Wu7vnYd9I0SoyiJhhNXaOoab/c7Uz9r4BfsCwrMk3zl4GPA79497Le+tRbTZ5p\nryHoKuGgzdE1m1PT8wRBgDvsIiQIAh8+807+8tzXuJ5RcEIPTcsgyRJ2p8vMYjLDjeOY86vXqPs2\nqiBxJFdmaaPGmuQj5gwyOYNeu4McxixMzLBATGy7vPf0idfMgL/7gXeSv/gs57dqiIQ8OHMMXxZY\n8WvkFR3BD0FUqFanse0+2UyGXN5gq9+j37fRBRndMDgqFjk+eR/rbpe+JhKFEe76Bm1ZIEYh7HWZ\n1zVeXl/mSthLGk+vN3h0fGHf0beCINyy7vx2nJld4OQw2EuW05vWlLcG98xTN03z+4EfsCzrh3f7\neeqp38w3rl+kqdx4YCr0XU7lx3m+VyOWJAqBuO2Zd3pdvrK1BIrCVr+L7/k8lp/hxGwyqF+pr/Fy\n0El8ckC0XcYkna+3V/CIUJGYyBU5o5bYwkeI4Xhx4jUrWteam3Q9h6KWYbJcTdq6iSL2YMA3Vy6x\n1G9T0gwqokZIRFbP4Po+T7VWCGURNRaJZJGo2ebvnXgbR6ePcKF2ncthF1GSefn6VVzfI5fNk5dU\n5o0S19qbRFmNjKxQyGSZCmUenDlKSkpKwmF66h8D/vAe7u8tjYgI7Fi6HkWcb68jDbsX9VW43Fjn\n1NQchVye+90xLnUbTAg68+Xp7bp2ADv0tgd0AEeMqNsdAl1BkkVCoLXV5Ni3PXjLqo5LtRUuBt2k\nUbTd4XTgsTie+NPZTIbHT5zlcaC+1eTPrzxDIEuojsiimudUaYr10GbVs5FlEaNc5ILbYtod577J\nI2gbayxvbTDmS1SOntw+5upKjabooogyvcAntCOm9N37vaakpOyNOw7qpml+FtjN6PyEZVmfHm7z\nS4BnWdYf3Go/qad+M8fLE2xtXCPQFfACThYmeL5bRwSWlpeYn5vHj2+kfc9VJ29Z1lfWDFYGgyTP\nBcjFEoKhMCXIdH0HEZgujSGKItcbddYGHWRETlanyQ5ti1Wng6gnl4OkKKwMOixyoy/nK+fqq8sX\nCEsGAuADV7sdFh2D5WCLMKvSd2z0WAVdpWN3kSWJ5V6LXk5DIk9tfY3JqWlwffSMRikW6QYh4tBS\nWpw6dcdz5/k+z61f45svv8hDJ0/z4NQC6j4Wf72RjKInO4qaYDR1jaKm/XLHQd2yrA/d7uemaf4o\n8BHgA7fbrlar3XTCXinyP8zX586dO7TjP/v0MwiBz0MPniVXMHjmqafZtJtMPXwa4phnnzvHJS8m\nDEPun5zja1/96i33N1sZ52t/9SRdKeTMydPcP3WUT/+/v6FX0VmYXyCOY+rPvsxnrqwhn5pDUGWW\nlq/w1AvP8bEPfi+CIHD54kWCosH8XGLpXH75AvHSxvbxzp07B0BQVIjjmE43KQcsxgpqPoNwpUu/\nHVMdHwNV5doLL6MIWTKz45x3mjSXmxhIzM3McsxXuXJxiZrfJb8wTaZr0+p00AaQf1v2jufv+fUl\nnq5do+50OaLGPLd+jf619UO/nnYyCtf3qL8+zH9/b7bvbz/cladumuaHgV8DnrAsa/N226ae+p2J\noojL9VUuba7Rz8jkckkJXtmDR+b2t9gpjmNeWl+mF3rkJJVTU3O8WFvmuuBubxN4Hu+rLJLLZml2\n2jzVWCbQZGQ34B1j85R3CR57evkS5wab9GIfIYo4EWepFko0lIhma4uO76K4AR+97+2Ioshnlp6n\nO4w4Dx2PWS3H+yeTmvO/vXqeFQZ4UUjBDvkHDzy2fedwO7547UUGO/JZdCfgfQv37+v8pKS8WTho\nT/03ARX4rGmaAH9nWdZP3OU+v2URRZETU0do+APEG4shaQfurT90CwRB2K7/fgVDVInDQRLCBYh+\nSGbYVKJSKPIdRpaubZOfyL6mGqTT6+IFAQ9MziFvSHR8h4Ks8cDMArYzoFW7QilfpOR5PDw7TaVQ\n5Fp9nVKxQK+3RaxIiJqK3PXIH8txsbaCUsqzSJ44jgjzAWEY7On/LS+pDHY8j8jvPFkpKd/i3NWg\nblnWnqePqae+d6688BLVh294y1nx7v3iKIqYKVfp1R3WnR4yIqcrR26q65ZlmXKx+JrPvri2xBcu\nn2f+2FGyWyHvetXqzryR5Yn5+2l3O+TGsqhqMsgWMway2+BIrkzXHYDn894TDyQxCDvmHoIgQgyS\nKL360LvywNQ8wvoST790nredOsOZqbnXeVbuPaN4TY2iJhhNXaOoab+kxbkjyLSep+CJtEMXQ5Q5\nOzl/5w/dhqsba7zYqROLImOCyvsXzuw522QwGHDFbSNqCqIoMjBErjXrnJicvWk7SZKolG6uXCnl\nC5zxxrnaa1KUshyfGqOYywOwUJlkbfllHEMhjkKOiAZZw9iTJlmWeejIMTpXV3n4yLE9fSYl5VuF\nNPvlLY7nefzNyktIRmKzxHHMCTHHsYm9fRedXpcvtZawHYctJ0lKPKuVe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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gallery" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import IFrame\n", "IFrame('http://matplotlib.org/gallery.html#lines_bars_and_markers', width='100%', height=550)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Further Reading\n", "* [Tutorial 1](http://www.loria.fr/~rougier/teaching/matplotlib)\n", "\n", "\n", "* [Tutorial 2](http://scipy-lectures.github.io/matplotlib/matplotlib.html)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# MPLD3\n", "\n", "The mpld3 project brings together Matplotlib, and D3js, the popular Javascript library for creating interactive data visualizations for the web. The result is a simple API for exporting your matplotlib graphics to HTML code which can be used within the browser, within standard web pages, blogs, or tools such as the IPython notebook." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import mpld3\n", "mpld3.enable_notebook()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "np.random.seed(0)\n", "\n", "P = np.random.random(size=10)\n", "A = np.random.random(size=10)\n", "\n", "x = np.linspace(0, 10, 100)\n", "data = np.array([[x, Ai * np.sin(x / Pi)]\n", " for (Ai, Pi) in zip(A, P)])\n", "\n", "fig, ax = plt.subplots(2)\n", "\n", "points = ax[1].scatter(P, A, c=P + A,\n", " s=200, alpha=0.5)\n", "ax[1].set_xlabel('Period')\n", "ax[1].set_ylabel('Amplitude')\n", "\n", "colors = plt.cm.ScalarMappable().to_rgba(P + A)\n", "\n", "for (x, l), c in zip(data, colors):\n", " ax[0].plot(x, l, c=c, alpha=0.5, lw=3)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", "\n", "
\n", "" ], "metadata": {}, "output_type": "display_data", "png": 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mF3jGaZQcQskRlBxDiTF8OYAvcig5jCe7yFn7mA7/J7LWn/BkN5qZsZxvLkYO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L1nznD+5ZcZaGkZ94mi4Np6ctYqIkWFmDn5WLHbiNpXhKMDw0AFAb2NjXTUv4cofxYv1oo70E+s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\nPYtasx34BrCNcEFgI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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "mpld3.disable_notebook()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Further Reading\n", "\n", "- http://jakevdp.github.io/blog/2014/01/10/d3-plugins-truly-interactive/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Bokeh\n", "\n", "Bokeh is a Python interactive visualization library that targets modern web browsers for presentation. Its goal is to provide elegant, concise construction of novel graphics in the style of D3.js, but also deliver this capability with high-performance interactivity over very large or streaming datasets. Bokeh can help anyone who would like to quickly and easily create interactive plots, dashboards, and data applications." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import bokeh\n", "try:\n", " from bokeh.sampledata import us_counties, unemployment\n", "except:\n", " bokeh.sampledata.download()\n", " from bokeh.sampledata import us_counties, unemployment" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "from bokeh.plotting import *\n", "colors = [\"#F1EEF6\", \"#D4B9DA\", \"#C994C7\", \"#DF65B0\", \"#DD1C77\", \"#980043\"]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "county_xs=[\n", " us_counties.data[code]['lons'] for code in us_counties.data\n", " if us_counties.data[code]['state'] == 'tx'\n", "]\n", "county_ys=[\n", " us_counties.data[code]['lats'] for code in us_counties.data\n", " if us_counties.data[code]['state'] == 'tx'\n", "]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "county_colors = []\n", "for county_id in us_counties.data:\n", " if us_counties.data[county_id]['state'] != 'tx':\n", " continue\n", " try:\n", " rate = unemployment.data[county_id]\n", " idx = min(int(rate/2), 5)\n", " county_colors.append(colors[idx])\n", " except KeyError:\n", " county_colors.append(\"black\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "output_notebook()\n", "patches(county_xs, county_ys, fill_color=county_colors, fill_alpha=0.7,\n", " line_color=\"white\", line_width=0.5, title=\"Texas Unemployment 2009\")\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ " \n", " \n", " \n", "
\n", " \n", " BokehJS successfully loaded.\n", "
" ], "metadata": {}, "output_type": "display_data" }, { "html": [ "\n", "
\n", "\n" ], "metadata": {}, "output_type": "display_data" } ], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gallery" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import IFrame\n", "IFrame('http://bokeh.pydata.org/docs/gallery.html', width='100%', height=550)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 41, "text": [ "" ] } ], "prompt_number": 41 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# IPython Interact and Widgets" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.html.widgets import interact, RadioButtonsWidget, IntSliderWidget, TextWidget" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 1" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_sine(freq):\n", " x = np.linspace(-np.pi, np.pi, num=1000)\n", " plt.plot(x, np.sin(2*np.pi*freq*x))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "interact(plot_sine, freq=(1, 10, 0.5))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 44, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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x+UAmU796zdoIw2dprOFcKJCOFpCNmSmykMsEYfzoY8tLjF/rgx+HBl9pQlAL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"text": [ "" ] } ], "prompt_number": 44 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 2" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_sine2(amplitude, color, title):\n", " fig, ax = plt.subplots(figsize=(4, 3),\n", " subplot_kw={'axisbg':'#EEEEEE',\n", " 'axisbelow':True})\n", " ax.grid(color='w', linewidth=2, linestyle='solid')\n", " x = np.linspace(0, 10, 1000)\n", " ax.plot(x, amplitude * np.sin(x), color=color,\n", " lw=5, alpha=0.4)\n", " ax.set_xlim(0, 10)\n", " ax.set_ylim(-10.1, 10.1)\n", " ax.set_title(title)\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "interact(plot_sine2,\n", " amplitude=IntSliderWidget(min=0, max=10, step=1,value=1),\n", " color=RadioButtonsWidget(values=['blue', 'green', 'red']),\n", " title=TextWidget(value=\"Advertise here\"))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 46, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Inspiring Plots from Plotly" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import IFrame\n", "IFrame('https://plot.ly/feed', width='100%', height=550)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 47, "text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Pandas\n", "\n", "pandas is a library for data manipulation and analysis:\n", "\n", "- Data structures: TimeSeries and DataFrame\n", "\n", "\n", "- An integrated group by engine for aggregating and transforming data sets\n", "\n", "\n", "- Input/Output tools: loading tabular data from flat files (CSV, delimited, Excel 2003), and saving and loading pandas objects from the fast and efficient PyTables/HDF5 format.\n", "\n", "\n", "- Memory-efficent \u201csparse\u201d versions of the standard data structures for storing data that is mostly missing or mostly constant (some fixed value)\n", "\n", "\n", "- Moving window statistics (rolling mean, rolling standard deviation, etc.)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas as pd\n", "from pandas import Series, DataFrame" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 48 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Time Series" ] }, { "cell_type": "code", "collapsed": false, "input": [ "labels = ['a', 'b', 'c', 'd', 'e']\n", "s = Series([1, 2, 3, 4, 5], index=labels)\n", "s" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 49, "text": [ "a 1\n", "b 2\n", "c 3\n", "d 4\n", "e 5\n", "dtype: int64" ] } ], "prompt_number": 49 }, { "cell_type": "code", "collapsed": false, "input": [ "print(\"'b' in s = {}\".format('b' in s))\n", "print(\" s['b'] = {}\".format(s['b']))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "'b' in s = True\n", " s['b'] = 2\n" ] } ], "prompt_number": 50 }, { "cell_type": "code", "collapsed": false, "input": [ "mapping = s.to_dict()\n", "mapping" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 51, "text": [ "{'a': 1, 'b': 2, 'c': 3, 'd': 4, 'e': 5}" ] } ], "prompt_number": 51 }, { "cell_type": "code", "collapsed": false, "input": [ "Series(mapping)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 52, "text": [ "a 1\n", "b 2\n", "c 3\n", "d 4\n", "e 5\n", "dtype: int64" ] } ], "prompt_number": 52 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###DataFrame" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas.io.data\n", "import datetime\n", "aapl = pd.io.data.get_data_yahoo('AAPL', \n", " start=datetime.datetime(2006, 10, 1), \n", " end=datetime.datetime(2012, 1, 1))\n", "aapl.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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OpenHighLowCloseVolumeAdj Close
Date
2006-10-02 75.10 75.87 74.30 74.86 178159800 10.17
2006-10-03 74.45 74.95 73.19 74.08 197677200 10.07
2006-10-04 74.10 75.46 73.16 75.38 207270700 10.24
2006-10-05 74.53 76.16 74.13 74.83 170970800 10.17
2006-10-06 74.42 75.04 73.81 74.22 116739700 10.08
\n", "

5 rows \u00d7 6 columns

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" ], "metadata": {}, "output_type": "pyout", "prompt_number": 53, "text": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2006-10-02 75.10 75.87 74.30 74.86 178159800 10.17\n", "2006-10-03 74.45 74.95 73.19 74.08 197677200 10.07\n", "2006-10-04 74.10 75.46 73.16 75.38 207270700 10.24\n", "2006-10-05 74.53 76.16 74.13 74.83 170970800 10.17\n", "2006-10-06 74.42 75.04 73.81 74.22 116739700 10.08\n", "\n", "[5 rows x 6 columns]" ] } ], "prompt_number": 53 }, { "cell_type": "markdown", "metadata": {}, "source": [ "####CSV\n", "\n", "writing to csv file.\n", "\n", "**Notice** how I mixed python with bash." ] }, { "cell_type": "code", "collapsed": false, "input": [ "aapl.to_csv('aapl_ohlc.csv')\n", "!head aapl_ohlc.csv" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Date,Open,High,Low,Close,Volume,Adj Close\r\n", "2006-10-02,75.1,75.87,74.3,74.86,178159800,10.17\r\n", "2006-10-03,74.45,74.95,73.19,74.08,197677200,10.07\r\n", "2006-10-04,74.1,75.46,73.16,75.38,207270700,10.24\r\n", "2006-10-05,74.53,76.16,74.13,74.83,170970800,10.17\r\n", "2006-10-06,74.42,75.04,73.81,74.22,116739700,10.08\r\n", "2006-10-09,73.8,75.08,73.53,74.63,109555600,10.14\r\n", "2006-10-10,74.54,74.58,73.08,73.81,132897100,10.03\r\n", "2006-10-11,73.42,73.98,72.6,73.23,142963800,9.95\r\n", "2006-10-12,73.61,75.39,73.6,75.26,148213800,10.23\r\n" ] } ], "prompt_number": 54 }, { "cell_type": "markdown", "metadata": {}, "source": [ "reading a csv file." ] }, { "cell_type": "code", "collapsed": false, "input": [ "df = pd.read_csv('aapl_ohlc.csv', index_col='Date', parse_dates=True)\n", "df.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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OpenHighLowCloseVolumeAdj Close
Date
2006-10-02 75.10 75.87 74.30 74.86 178159800 10.17
2006-10-03 74.45 74.95 73.19 74.08 197677200 10.07
2006-10-04 74.10 75.46 73.16 75.38 207270700 10.24
2006-10-05 74.53 76.16 74.13 74.83 170970800 10.17
2006-10-06 74.42 75.04 73.81 74.22 116739700 10.08
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5 rows \u00d7 6 columns

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" ], "metadata": {}, "output_type": "pyout", "prompt_number": 55, "text": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2006-10-02 75.10 75.87 74.30 74.86 178159800 10.17\n", "2006-10-03 74.45 74.95 73.19 74.08 197677200 10.07\n", "2006-10-04 74.10 75.46 73.16 75.38 207270700 10.24\n", "2006-10-05 74.53 76.16 74.13 74.83 170970800 10.17\n", "2006-10-06 74.42 75.04 73.81 74.22 116739700 10.08\n", "\n", "[5 rows x 6 columns]" ] } ], "prompt_number": 55 }, { "cell_type": "code", "collapsed": false, "input": [ "df.index" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 56, "text": [ "\n", "[2006-10-02, ..., 2011-12-30]\n", "Length: 1323, Freq: None, Timezone: None" ] } ], "prompt_number": 56 }, { "cell_type": "code", "collapsed": false, "input": [ "df[['Open', 'Close']].head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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OpenClose
Date
2006-10-02 75.10 74.86
2006-10-03 74.45 74.08
2006-10-04 74.10 75.38
2006-10-05 74.53 74.83
2006-10-06 74.42 74.22
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5 rows \u00d7 2 columns

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" ], "metadata": {}, "output_type": "pyout", "prompt_number": 57, "text": [ " Open Close\n", "Date \n", "2006-10-02 75.10 74.86\n", "2006-10-03 74.45 74.08\n", "2006-10-04 74.10 75.38\n", "2006-10-05 74.53 74.83\n", "2006-10-06 74.42 74.22\n", "\n", "[5 rows x 2 columns]" ] } ], "prompt_number": 57 }, { "cell_type": "code", "collapsed": false, "input": [ "print(type(df['Open']))\n", "print(type(df[['Open', 'Close']]))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "\n" ] } ], "prompt_number": 58 }, { "cell_type": "code", "collapsed": false, "input": [ "df['diff'] = df.Open - df.Close\n", "df.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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OpenHighLowCloseVolumeAdj Closediff
Date
2006-10-02 75.10 75.87 74.30 74.86 178159800 10.17 0.24
2006-10-03 74.45 74.95 73.19 74.08 197677200 10.07 0.37
2006-10-04 74.10 75.46 73.16 75.38 207270700 10.24-1.28
2006-10-05 74.53 76.16 74.13 74.83 170970800 10.17-0.30
2006-10-06 74.42 75.04 73.81 74.22 116739700 10.08 0.20
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5 rows \u00d7 7 columns

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" ], "metadata": {}, "output_type": "pyout", "prompt_number": 59, "text": [ " Open High Low Close Volume Adj Close diff\n", "Date \n", "2006-10-02 75.10 75.87 74.30 74.86 178159800 10.17 0.24\n", "2006-10-03 74.45 74.95 73.19 74.08 197677200 10.07 0.37\n", "2006-10-04 74.10 75.46 73.16 75.38 207270700 10.24 -1.28\n", "2006-10-05 74.53 76.16 74.13 74.83 170970800 10.17 -0.30\n", "2006-10-06 74.42 75.04 73.81 74.22 116739700 10.08 0.20\n", "\n", "[5 rows x 7 columns]" ] } ], "prompt_number": 59 }, { "cell_type": "code", "collapsed": false, "input": [ "close_px = df['Adj Close']\n", "mavg = pd.rolling_mean(close_px, 40)\n", "close_px.plot(label='AAPL')\n", "mavg.plot(label='mavg')\n", "plt.legend(loc='best')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 60, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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t0cq/zjeQGRWALMtse/040fEhLFuThUI59JJI/j7/feEThlsgEFw9FruTGfHB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\nlmWMFjvlBjMXG1wr7YZ2G4nuF4ufbDu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"text": [ "" ] } ], "prompt_number": 60 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Covariance Analysis" ] }, { "cell_type": "code", "collapsed": false, "input": [ "df = pd.io.data.get_data_yahoo(['AAPL', 'Googl', 'GE', 'IBM', 'KO', 'MSFT', 'PEP'], \n", " start=datetime.datetime(2010, 1, 1), \n", " end=datetime.datetime(2013, 1, 1))['Adj Close']\n", "rets = df.pct_change()\n", "df.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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AAPLGEGooglIBMKOMSFTPEP
Date
2010-01-04 29.08 13.33 313.69 121.19 25.02 27.31 53.54
2010-01-05 29.13 13.40 312.31 119.73 24.72 27.32 54.19
2010-01-06 28.66 13.33 304.43 118.95 24.71 27.15 53.64
2010-01-07 28.61 14.02 297.35 118.54 24.65 26.87 53.30
2010-01-08 28.80 14.32 301.31 119.73 24.19 27.05 53.13
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5 rows \u00d7 7 columns

\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 61, "text": [ " AAPL GE Googl IBM KO MSFT PEP\n", "Date \n", "2010-01-04 29.08 13.33 313.69 121.19 25.02 27.31 53.54\n", "2010-01-05 29.13 13.40 312.31 119.73 24.72 27.32 54.19\n", "2010-01-06 28.66 13.33 304.43 118.95 24.71 27.15 53.64\n", "2010-01-07 28.61 14.02 297.35 118.54 24.65 26.87 53.30\n", "2010-01-08 28.80 14.32 301.31 119.73 24.19 27.05 53.13\n", "\n", "[5 rows x 7 columns]" ] } ], "prompt_number": 61 }, { "cell_type": "code", "collapsed": false, "input": [ "_ = pd.scatter_matrix(rets, diagonal='kde', figsize=(10, 10))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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CE8cN8ywkAY6Mp7BWT3tnF1tEVYlSy2Y8rVMxPTwh4Hg+ytnlFstNi2pbZCCh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\nOdwW5oOJMmFFYqZscKQ9ujJR+/m1Ir/6eAfP9MaR8RhI67i+zoW5K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kGc8O+O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\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c6JLXJXKaTNNJAaV+lDDXn2HLClhpe3xtssS7S22OrdtkFIlEgKfG8lQyahqF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\nvFEkUeDZvgjP9n3wImlZFmdGs/y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"text": [ "" ] } ], "prompt_number": 62 }, { "cell_type": "code", "collapsed": false, "input": [ "corr = rets.corr()\n", "plt.imshow(corr, cmap='hot', interpolation='none')\n", "plt.colorbar()\n", "plt.xticks(range(len(corr)), corr.columns)\n", "plt.yticks(range(len(corr)), corr.columns);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 63 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# NLTK\n", "\n", "A library to deal with English language. It provides easy-to-use interfaces to over 50 corpora and lexical resources such as WordNet, along with a suite of text processing libraries for classification, tokenization, stemming, tagging, parsing, and semantic reasoning, and an active discussion forum." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import nltk" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 64 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tokenization\n", "\n", "identifies sentence and word boundaries." ] }, { "cell_type": "code", "collapsed": false, "input": [ "nltk.download(\"punkt\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[nltk_data] Downloading package 'punkt' to /home/rmyeid/nltk_data...\n", "[nltk_data] Package punkt is already up-to-date!" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "/usr/local/lib/python2.7/dist-packages/nltk/__init__.py:682: DeprecationWarning: object() takes no parameters\n", "/usr/local/lib/python2.7/dist-packages/nltk/__init__.py:682: DeprecationWarning: object() takes no parameters\n", "/usr/local/lib/python2.7/dist-packages/nltk/__init__.py:682: DeprecationWarning: object() takes no parameters\n", "/usr/local/lib/python2.7/dist-packages/nltk/__init__.py:682: DeprecationWarning: object() takes no parameters\n", "/usr/local/lib/python2.7/dist-packages/nltk/__init__.py:682: DeprecationWarning: object() takes no parameters\n", "/usr/local/lib/python2.7/dist-packages/nltk/__init__.py:682: DeprecationWarning: object() takes no parameters\n", "/usr/local/lib/python2.7/dist-packages/nltk/__init__.py:682: DeprecationWarning: object() takes no parameters\n", "/usr/local/lib/python2.7/dist-packages/nltk/__init__.py:682: DeprecationWarning: object() takes no parameters\n", "/usr/local/lib/python2.7/dist-packages/nltk/__init__.py:682: 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"/usr/local/lib/python2.7/dist-packages/nltk/__init__.py:682: DeprecationWarning: object() takes no parameters\n", "/usr/local/lib/python2.7/dist-packages/nltk/__init__.py:682: DeprecationWarning: object() takes no parameters\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 65, "text": [ "True" ] } ], "prompt_number": 65 }, { "cell_type": "code", "collapsed": false, "input": [ "sentences = \"\"\"This is Rami. At eight o'clock on Thursday morning James Arthur didn't feel very good.\"\"\"\n", "sents = nltk.sent_tokenize(sentences)\n", "sents" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 66, "text": [ "['This is Rami.',\n", " \"At eight o'clock on Thursday morning James Arthur didn't feel very good.\"]" ] } ], "prompt_number": 66 }, { "cell_type": "code", "collapsed": false, "input": [ "words = nltk.word_tokenize(sents[1])\n", "words" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 67, "text": [ "['At',\n", " 'eight',\n", " \"o'clock\",\n", " 'on',\n", " 'Thursday',\n", " 'morning',\n", " 'James',\n", " 'Arthur',\n", " 'did',\n", " \"n't\",\n", " 'feel',\n", " 'very',\n", " 'good',\n", " '.']" ] } ], "prompt_number": 67 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###POS Tagging\n", "\n", "classifies words to several categories as nouns(NN), verbs(VB), and adjectives (ADJ)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "nltk.download(\"maxent_treebank_pos_tagger\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[nltk_data] Downloading package 'maxent_treebank_pos_tagger' to\n", "[nltk_data] /home/rmyeid/nltk_data...\n", "[nltk_data] Package maxent_treebank_pos_tagger is already up-to-\n", "[nltk_data] date!\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 68, "text": [ "True" ] } ], "prompt_number": 68 }, { "cell_type": "code", "collapsed": false, "input": [ "tagged = nltk.pos_tag(words)\n", "tagged" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 69, "text": [ "[('At', 'IN'),\n", " ('eight', 'CD'),\n", " (\"o'clock\", 'JJ'),\n", " ('on', 'IN'),\n", " ('Thursday', 'NNP'),\n", " ('morning', 'NN'),\n", " ('James', 'NNP'),\n", " ('Arthur', 'NNP'),\n", " ('did', 'VBD'),\n", " (\"n't\", 'RB'),\n", " ('feel', 'VB'),\n", " ('very', 'RB'),\n", " ('good', 'JJ'),\n", " ('.', '.')]" ] } ], "prompt_number": 69 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Named Entity Chunking\n", "\n", "identifies phrases in text that refers to persons, locations and organizations." ] }, { "cell_type": "code", "collapsed": false, "input": [ "nltk.download(\"maxent_ne_chunker\")\n", "nltk.download(\"words\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[nltk_data] Downloading package 'maxent_ne_chunker' to\n", "[nltk_data] /home/rmyeid/nltk_data...\n", "[nltk_data] Package maxent_ne_chunker is already up-to-date!\n", "[nltk_data] Downloading package 'words' to /home/rmyeid/nltk_data...\n", "[nltk_data] Package words is already up-to-date!\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 70, "text": [ "True" ] } ], "prompt_number": 70 }, { "cell_type": "code", "collapsed": false, "input": [ "entities = nltk.chunk.ne_chunk(tagged)\n", "list(entities.subtrees(filter=lambda x: x.node == 'PERSON'))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 71, "text": [ "[Tree('PERSON', [('James', 'NNP'), ('Arthur', 'NNP')])]" ] } ], "prompt_number": 71 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Stemming\n", "\n", "removes suffixes and prefixes to reduce sparsity of language vocabulary usage." ] }, { "cell_type": "code", "collapsed": false, "input": [ "stemmer = nltk.stem.LancasterStemmer()\n", "words = u\"Stemming is funnier than a bummer says the sushi loving computer scientist\".split()\n", "[stemmer.stem(w) for w in words]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 72, "text": [ "[u'stem',\n", " u'is',\n", " u'funny',\n", " u'than',\n", " u'a',\n", " u'bum',\n", " u'say',\n", " u'the',\n", " u'sush',\n", " u'lov',\n", " u'comput',\n", " u'sci']" ] } ], "prompt_number": 72 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Data Mining" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Before You Scrape\n", "\n", "Check if the data is available through an API or just downloadable! Here are some pointers:\n", "\n", "- [Programmable Web API index](http://www.programmableweb.com/apis/directory)\n", "\n", "\n", "- [Government API](https://www.data.gov/developers/apis)\n", "\n", "\n", "- [Google Dataset Search Engine](https://www.google.com/cse/publicurl?cx=002720237717066476899:v2wv26idk7m)\n", "\n", "\n", "- [Quandl Dataset Collection](http://www.quandl.com/c/collections)\n", "\n", "\n", "- [Academic Torrents](http://academictorrents.com/)\n", "\n", "\n", "- [R Datasets](http://vincentarelbundock.github.io/Rdatasets/datasets.html)\n", "\n", "\n", "- [Amazon AWS datasets](https://aws.amazon.com/datasets)\n", "\n", "\n", "- [KDD datasets](http://www.kdnuggets.com/datasets/index.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Scraping Websites\n", "\n", "### requests + LXML\n", "\n", "Extracting prices and buyers" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from lxml import html\n", "import requests" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 73 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import IFrame\n", "IFrame('http://econpy.pythonanywhere.com/ex/001.html', width='100%', height=250)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 74, "text": [ "" ] } ], "prompt_number": 74 }, { "cell_type": "code", "collapsed": false, "input": [ "page = requests.get('http://econpy.pythonanywhere.com/ex/001.html')\n", "tree = html.fromstring(page.text)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 75 }, { "cell_type": "code", "collapsed": false, "input": [ "#This will create a list of buyers:\n", "buyers = tree.xpath('//div[@title=\"buyer-name\"]/text()')\n", "#This will create a list of prices\n", "prices = tree.xpath('//span[@class=\"item-price\"]/text()')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 76 }, { "cell_type": "code", "collapsed": false, "input": [ "print('Buyers: ', buyers)\n", "print()\n", "print('Prices: ', prices)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Buyers: ['Carson Busses', 'Earl E. Byrd', 'Patty Cakes', 'Derri Anne Connecticut', 'Moe Dess', 'Leda Doggslife', 'Dan Druff', 'Al Fresco', 'Ido Hoe', 'Howie Kisses', 'Len Lease', 'Phil Meup', 'Ira Pent', 'Ben D. Rules', 'Ave Sectomy', 'Gary Shattire', 'Bobbi Soks', 'Sheila Takya', 'Rose Tattoo', 'Moe Tell']\n", "\n", "Prices: ['$29.95', '$8.37', '$15.26', '$19.25', '$19.25', '$13.99', '$31.57', '$8.49', '$14.47', '$15.86', '$11.11', '$15.98', '$16.27', '$7.50', '$50.85', '$14.26', '$5.68', '$15.00', '$114.07', '$10.09']\n" ] } ], "prompt_number": 77 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### BeautifulSoup\n", "\n", "Extracting hyperlinks from Google homepage." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from bs4 import BeautifulSoup" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 78 }, { "cell_type": "code", "collapsed": false, "input": [ "r = requests.get(\"http://www.google.com\")\n", "data = r.text\n", "soup = BeautifulSoup(data)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 79 }, { "cell_type": "code", "collapsed": false, "input": [ "for link in soup.find_all('a'):\n", " print(link.get('href'))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "http://www.google.com/imghp?hl=en&tab=wi\n", "http://maps.google.com/maps?hl=en&tab=wl\n", "https://play.google.com/?hl=en&tab=w8\n", "http://www.youtube.com/?tab=w1\n", "http://news.google.com/nwshp?hl=en&tab=wn\n", "https://mail.google.com/mail/?tab=wm\n", "https://drive.google.com/?tab=wo\n", "http://www.google.com/intl/en/options/\n", "http://www.google.com/history/optout?hl=en\n", "/preferences?hl=en\n", "https://accounts.google.com/ServiceLogin?hl=en&continue=http://www.google.com/\n", "/chrome/index.html?hl=en&brand=CHNG&utm_source=en-hpp&utm_medium=hpp&utm_campaign=en\n", "/advanced_search?hl=en&authuser=0\n", "/language_tools?hl=en&authuser=0\n", "/intl/en/ads/\n", "/services/\n", "https://plus.google.com/116899029375914044550\n", "/intl/en/about.html\n", "/intl/en/policies/\n" ] } ], "prompt_number": 80 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Further Reading\n", "1. [Mining the Social Web IPython notebooks](http://nbviewer.ipython.org/github/ptwobrussell/Mining-the-Social-Web/tree/master/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##NetworkX (Graph Library)\n", "\n", "A library to construct, manipulate and visualize graphs, it contains:\n", "\n", "\n", "- Data structures for graphs, digraphs, and multigraphs.\n", "\n", "\n", "- Nodes and edges can hold arbitrary data\n", "\n", "\n", "- Generators for classic graphs, random graphs, and synthetic networks\n", "\n", "\n", "- Standard graph algorithms and Network analysis measures" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import networkx as nx" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 81 }, { "cell_type": "code", "collapsed": false, "input": [ "G = nx.karate_club_graph()\n", "nx.draw_spring(G)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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G7u7utGrVqlLZMHnyZJo3b16p8ihvOI6joUOH0pAhQypEXG7evEktWrSgpk2b0tWrV0n0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\nylJzfvjwI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"text": [ "" ] } ], "prompt_number": 82 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Colaboratory" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is an interactive, collaborative analytics tool that integrates:\n", "- Google Docs\n", "- Chrome,\n", "- IPython.\n", "\n", "You can open a notebook from Google Drive. You can share notebooks like you would share a Google Doc.\n", "You can comment and edit collaboratively, in realtime. There is zero setup, because all the computation happens in Chrome.\n", "You can even quickly and easily package your analytics pipeline into a GUI for folks that don't want to program.\n", "In effect, you can go from zero to analytics with little impedance." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Further Reading\n", "- [Official website](https://colaboratory.jupyter.org/welcome/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# References\n", "\n", "- [Scientific Python Lectures](https://github.com/jrjohansson/scientific-python-lectures)\n", "\n", "\n", "- [Scipy Lecture Notes](https://scipy-lectures.github.io)\n", "\n", "\n", "- [Financial Analysis Python Tutorial](http://nbviewer.ipython.org/github/twiecki/financial-analysis-python-tutorial/tree/master/)" ] } ], "metadata": {} } ] }