{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lecture 3: Python for Scientific Computing (1.5 Hours) #" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### ABSTRACT ###\n", "\n", "Now that we have learned a bit about Python itself, we will look at some specific packages that are useful for scientific applications. In this Lecture, we will learn about:\n", "\n", "- storing, representing, and manipulating tensors of numeric data with the **NumPy** and **SciPy** packages,\n", "- R-style data analysis with the **Pandas** package, \n", "- publication-quality plotting and with **Matplotlib**, and statistics plotting with **Seaborn**.\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Manipulating Tensors w/ NumPy and SciPy (50 Minutes) ##" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So far, we've seen that Python offers flexible structures such as ``list`` and ``dict`` for storing data, but this flexibility comes at a cost. Consider, for instance, representing a matrix as a ``list`` of ``list`` instances." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = [\n", " [0, 1],\n", " [1, 0]\n", "]" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[[0, 1], [1, 0]]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This \"works\" in the sense that it stores the data we're interested in, but fails to enforce that its entries are all numeric, that each \"row\" is the same length, and doesn't give us a terribly useful way of performing mathematical operations." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[[0, 1], [1, 0], [0, 1], [1, 0]]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Almost certainly not what we expect \"matrix\" addition to look like!\n", "x + x" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[[0, 1, 0], [1, 0]]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# \"Ragged\" structures are OK for lists, even though that doesn't\n", "# make sense for matrices.\n", "x = [\n", " [0, 1, 0],\n", " [1, 0]\n", "]\n", "x" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[['0', True], [1, None]]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Heterogeneous data types are also OK for lists,\n", "# but not what we want here.\n", "x = [\n", " [\"0\", True],\n", " [1, None]\n", "]\n", "x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### *Arrays* represent Tensors with NumPy ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "None of this indicates that ``list`` is bad, but rather that it's not the data structure we want to represent tensors of numbers, such as vectors or matrices. Thankfully, the NumPy library provides precisely such a tensor structure, called an *array*. This library is installed by default with Anaconda, so let's go on and import it now." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "x = np.array([\n", " [0, 1],\n", " [1, 0]\n", "])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[0, 1],\n", " [1, 0]])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[0, 2],\n", " [2, 0]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x + x" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[0, 2],\n", " [2, 0]])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2 * x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By contrast to ``list`` instances, arrays provide much more structure that we can use to represent numerical operations. The most basic operation allowed by arrays is that of *indexing*, wherein we access one or more elements of an array. This is similar to indexing lists, but much more powerful thanks to the additional assumptions that we can make about arrays. In particular, we can now index along multiple *dimensions* at once, each of which is also called an *axis* or an *index*." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2\n" ] } ], "source": [ "x = np.array([\n", " [1, 2, 3],\n", " [4, 5, 6]\n", "])\n", "print(x[0, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each of these index expressions can itself be a slice, as we saw earlier with lists. The special slice ``:`` selects everything along that axis." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1 4]\n", "[4 5 6]\n" ] } ], "source": [ "print(x[:, 0])\n", "print(x[1, :])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the example above, we note that indexing by a scalar removes that axis from the returned array, reducing the number of dimensions. This is represented in the array's *shape*, which describes the length of that array along each axis (this generalizes MATLAB's ``size`` concept to tensors of rank up to 63). Each shape is a ``tuple`` of integers, or the empty tuple for a scalar." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(2, 3)\n", "(2,)\n", "(3,)\n", "(2,)\n", "()\n" ] } ], "source": [ "print(x.shape)\n", "print(x[:, 0].shape)\n", "print(x[1, :].shape)\n", "print(x[1, :2].shape)\n", "print(x[0, 0].shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each array also has a ``dtype``, short for \"data type\", indicating the type of each of its elements. This is in contrast to ``list`` instances, which can contain arbitrary other types, and allows arrays to be much more efficient." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "int64\n", "float64\n", "complex128\n", "bool\n", " -3.0\n", " 0.0\n", " -10\n", " 1\n" ] } ], "source": [ "vec = np.array([-10, 0, 1])\n", "for reduction_fn in (np.mean, np.median, np.min, np.max):\n", " print(reduction_fn, reduction_fn(vec))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, we will often want to actually perform arithmetic operations on arrays. In NumPy, such operations are represented by *universal functions*, or *ufuncs* for short. Each ufunc describes an element-wise operation which NumPy can then act on arrays." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "a = np.array([[0, 1], [2, 3]])\n", "b = np.array([[0, 10], [20, 30]])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 11],\n", " [22, 33]])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a + b" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 10],\n", " [40, 90]])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a * b" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 1, 10],\n", " [ 400, 27000]])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "b ** a" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0, -1],\n", " [-2, -3]])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "-a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Other useful ufuncs include trigonometric functions, and special functions such as exp and log." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.25 0. 0.5 0. ]\n", "[ 7.3890561 2.71828183 2.71828183 1. ]\n" ] } ], "source": [ "ys = np.array([1, 0, 1, 0])\n", "xs = np.array([1, 1, 0, 0])\n", "\n", "print(np.arctan2(ys, xs) / np.pi)\n", "print(np.exp(xs + ys))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A ufunc can be applied to two or more arrays if their shapes match exactly, or if one can be *broadcast* to each other. Before we explain what broadcasting is in detail, let's jump right into an example: adding a scalar to a 2-axis array:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[1, 2],\n", " [3, 4]])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a + 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reshaping and Broadcasting *Arrays* ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we see that NumPy knew to \"repeat\" the scalar 1 such that it can then properly match the shape ``(2, 2)`` of ``a``. This holds even for higher-rank arrays. We can quickly make an example of a higher-rank array by using ``np.arange`` (short for \"array range\") to generate an array of integers equivalent to ``np.array(range(...))``, and then using ``reshape``. The ``reshape`` method returns the same array, but viewed as having a different shape, given by a tuple of the lengths along each axis of the new view." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([0, 1, 2, 3, 4, 5])" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = np.arange(6)\n", "a" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[[0],\n", " [1],\n", " [2]],\n", "\n", " [[3],\n", " [4],\n", " [5]]])" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "b = a.reshape((2, 3, 1))\n", "b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that because ``reshape`` returns a different view of the same array, modifying this view affects the original array and vice versa." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([1000, 1, 2, 3, 4, 5])" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "b[0, 0, 0] = 1000\n", "a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This behavior can be avoided by using the ``copy`` method. If we had used ``c = b`` then that would have just created a new name ``c`` that would point to the array ``b`` was also pointing too. " ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([1000, 1, 2, 3, 4, 5])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c = b.copy()\n", "c[0, 0, 0] = -1\n", "a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At any rate, returning to our earlier example, NumPy knows to \"repeat\" scalars even for higher-rank tensors." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[[0],\n", " [1],\n", " [2]],\n", "\n", " [[3],\n", " [4],\n", " [5]]])" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = np.arange(6).reshape((2, 3, 1))\n", "a" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[[ 0],\n", " [ 1],\n", " [ 4]],\n", "\n", " [[ 9],\n", " [16],\n", " [25]]])" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a ** 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Essentially, broadcasting consists of a formal list of rules for determining when and how to repeat lower-rank arrays to properly match shapes for element-wise computation. First, the arrays being operated on by a ufunc have different numbers of axes, singleton dimensions (axes of length 1) are added to the left of each array until they have the same length shapes.\n", "For instance, if ``a`` is a ``(1, 2)``-shape array, and ``b`` is a ``(2,)``-shape array, then ``a`` and ``b`` are treated as having the same shape for the purpose of broadcasting.\n", "\n", "Next, for each axis, the lengths along that axis must match for each array, or any non-matching arrays must have length 1. Thus, an array of shape ``(1, 2)`` and an array of shape ``(3, 1)`` can be broadcast with each other, but ``(2, 2)`` does not broadcast with ``(3, 1)``.\n", "\n", "As a more applied example, we can use broadcasting together with ``np.newaxis`` to quickly define generalized outer products:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 4 5]\n", " [ 8 10]\n", " [12 15]]\n", "[[5 6]\n", " [6 7]\n", " [7 8]]\n", "[[ 1 1]\n", " [ 16 32]\n", " [ 81 243]]\n", "[[1 1]\n", " [2 2]\n", " [3 3]]\n" ] } ], "source": [ "a = np.array([1, 2, 3])\n", "b = np.array([4, 5])\n", "\n", "print(a[:, np.newaxis] * b)\n", "print(a[:, np.newaxis] + b)\n", "print(a[:, np.newaxis] ** b)\n", "print(a[:, np.newaxis] % b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This works because ``np.newaxis`` adds a new singleton axis at that location in the indexing operation. In the example above, ``a[:, np.newaxis]`` has shape ``(3, 1)``, which broadcasts with ``b`` (shape ``(2,)``) to return a shape ``(3, 2)`` array. Broadcasting thus gives us a very powerful tool for quickly performing index gymnastics, even on high-rank tensors." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(2, 3, 5)\n" ] } ], "source": [ "a = np.arange(2 * 3 * 1).reshape((2, 3, 1))\n", "b = np.arange(2 * 1 * 5).reshape((2, 1, 5))\n", "\n", "print((a * b).shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This covers element-wise multiplication, but what about matrix multiplication? Let's take a step back and first phrase matrix multiplication in a slightly different way. In particular, let $A_{ij}$ and $B_{k \\ell}$ be matrices. Their product is then given by\n", "$$\n", " (AB)_{ik} = \\sum_j A_{ij} B_{jk}.\n", "$$\n", "Using Einstein summation convention, we can simplify this as $(AB)_{ik} = A_{ij} B_{jk}$, where the repeated index $j$ indicates a *tensor contraction*; that is, a sum over particular values of the repeated index.\n", "\n", "This particular tensor contraction is implemented in NumPy as the function ``np.dot``. For arrays ``a`` and ``b``, ``np.dot(a, b)`` returns the tensor contraction of the last axis of ``a`` with the second-to-last axis of ``b``. For two-axis arrays, this is identical to matrix multiplication." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.+1.j 0.+0.j]\n", " [ 0.+0.j 0.-1.j]]\n" ] } ], "source": [ "a = np.array([[0, 1], [1, 0]])\n", "b = np.array([[0, -1j], [1j, 0]])\n", "\n", "print(np.dot(a, b))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we are interested in multiplying several matrices together, this can get a bit ugly, with expressions like ``np.dot(a, np.dot(b, c))`` instead of ``A * B * C``. To help with this, we can use ``functools.reduce`` to simplify notation a bit:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[118, 131],\n", " [518, 575]])" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from functools import reduce\n", "a, b, c = np.arange(3 * 2 * 2).reshape((3, 2, 2))\n", "reduce(np.dot, (a, b, c))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This reduction is done automatically by the ``np.linalg.multi_dot`` function, which chooses an efficient order to perform the tensor contractions:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[118, 131],\n", " [518, 575]])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.linalg.multi_dot([a, b, c])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The optimization performed by ``multi_dot`` is especially helpful for larger matrices." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10 loops, best of 3: 22.9 ms per loop\n", "1000 loops, best of 3: 856 µs per loop\n" ] } ], "source": [ "big_dimension = 131\n", "small_dimension = 2\n", "\n", "a = np.arange(big_dimension * small_dimension).reshape((big_dimension, small_dimension))\n", "b = np.arange(small_dimension * big_dimension).reshape((small_dimension, big_dimension))\n", "c = np.arange(big_dimension * big_dimension).reshape((big_dimension, big_dimension))\n", "%timeit reduce(np.dot, (a, b, c))\n", "%timeit np.linalg.multi_dot([a, b, c])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NB: Python 3.5 also adds the `@*` operator for matrix multiplication, but using this operator prevents 2.7 or 3.4 users from running your code." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "More generally, NumPy offers the ``np.tensordot`` function for computing arbitrary tensor contractions. For arrays ``a`` and ``b`` and an integer ``k``, ``np.tensordot(a, b, k)`` contracts the ``k`` rightmost axes of ``a`` with the ``k`` leftmost axes of ``b``. Alternatively, the third argument of ``np.tensordot`` can be a tuple of two lists, specifying corresponding axes of ``a`` and ``b`` to contract over." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(2, 3, 11, 13)\n" ] } ], "source": [ "a = np.arange(2 * 3 * 5 * 7).reshape((2, 3, 5, 7))\n", "b = np.arange(5 * 11 * 7 * 13).reshape((5, 11, 7, 13))\n", "\n", "print(np.tensordot(a, b, ([2, 3], [0, 2])).shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Put differently, we can think of NumPy as an efficient library for manipulating and contracting high-rank tensors. Of course, we will often be interested in the special case of rank-2 tensors (matrices); NumPy is helpful in this special case as well." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [], "source": [ "eigenvalues, eigenvectors = np.linalg.eig([[0, 1], [1, 0]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Pandas (5 Minutes) ##" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition to NumPy's representation of tensors, we can use the Pandas library to manage data in an R- or Excel-like fashion with the ``DataFrame`` class. Pandas is extremely powerful, and we'll barely scratch the surface here. That note aside, let's jump in by importing Pandas and making our first ``DataFrame``. Since apparently patents are important, we'll use as an example data set the [number of patents filed in Melbourne](https://data.melbourne.vic.gov.au/Economy/Standard-And-Innovation-Patents-by-Postcode-In-Mel/9usq-v437) as a function of year and, er, postal code." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " 2010 2011 2012 2013 2014\n", "Postcode \n", "3000 55 72 86 56 54\n", "3001 0 0 0 0 3\n", "3002 1 1 4 1 1\n", "3003 0 2 3 2 1\n", "3004 4 10 7 12 9\n", "3005 0 1 0 0 0\n", "3006 3 13 5 7 7\n", "3010 3 6 1 5 5\n", "3031 0 0 1 2 0\n", "3050 2 0 3 1 3\n", "3051 3 2 2 3 1\n", "3052 8 12 13 9 8\n", "3053 1 1 0 1 1\n", "3054 0 0 1 0 1\n", "3141 2 4 8 8 4\n", "3207 6 9 16 13 8" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv(\n", " \"https://data.melbourne.vic.gov.au/api/views/9usq-v437/rows.csv?accessType=DOWNLOAD\",\n", " index_col='Postcode'\n", ")\n", "df " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we can load data directly from the web! Here, we've loaded a data set represented as a *comma-separated values* (CSV) file, but we could have also loaded data from Excel, HDF5, JSON, or several other formats. We can also construct ``DataFrame`` instances from NumPy arrays, dictionaries, or other Python data structures. Since CSV doesn't provide any metadata to say what each \"column\" represents, we need to give Pandas a little bit of a hint with the ``index_col`` keyword argument." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In any case, once we have a data set loaded, we can manipulate it in a variety of ways, such as indexing individual \"columns.\"" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Postcode\n", "3000 128\n", "3001 0\n", "3002 2\n", "3003 4\n", "3004 22\n", "3005 1\n", "3006 20\n", "3010 11\n", "3031 2\n", "3050 1\n", "3051 5\n", "3052 21\n", "3053 2\n", "3054 0\n", "3141 12\n", "3207 22\n", "dtype: int64" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df['2011'] + df['2013']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For instance, using ``groupby``, we can easily discover amazing facts, such as that even postcodes are far more innovative than odd postcodes. (\"Remember kids, being odd means you aren't innovating hard enough.\") The lambda function used to sort the postcodes is simply using the arithmetic mod operator (%), so the output row labeled with 0 is even postcodes and 1 is odd postcodes." ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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20102011201220132014
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" ], "text/plain": [ " 2010 2011 2012 2013 2014\n", "0 9.5 14.250 15.00 11.375 11.00\n", "1 1.5 2.375 3.75 3.625 2.25" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.groupby(lambda postcode: postcode % 2).mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, this conclusion could simply be very silly, so let's check the standard deviation as well as the mean." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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20102011201220132014
meanstdmeanstdmeanstdmeanstdmeanstd
09.518.53953314.25023.93294215.0028.94823011.37518.52363411.0017.639242
11.52.1380902.3752.9730943.755.6251983.6254.5650072.252.712405
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" ], "text/plain": [ " 2010 2011 2012 2013 \\\n", " mean std mean std mean std mean std \n", "0 9.5 18.539533 14.250 23.932942 15.00 28.948230 11.375 18.523634 \n", "1 1.5 2.138090 2.375 2.973094 3.75 5.625198 3.625 4.565007 \n", "\n", " 2014 \n", " mean std \n", "0 11.00 17.639242 \n", "1 2.25 2.712405 " ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.groupby(lambda postcode: postcode % 2).agg([\"mean\", \"std\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In general, Pandas provides a very useful tool for representing heterogeneous tables of data, and for interacting with different data storage formats." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Plotting with Matplotlib and Seaborn (35 Minutes) ##" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can make plots using the Matplotlib library for Python, so let's jump right in by importing that now." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we've only imported ``pyplot`` from Matplotlib; this is the MATLAB-like interface for Matplotlib. As usual, we've given the package a short name (``plt``) to make it easier to refer to Matplotlib functions. Having imported Matplotlib, we now tell Jupyter Notebook to place plots into the notebook itself, rather than displaying them in a separate window." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We're now ready to plot things. The first plotting function that we'll consider is given the thankfully unimaginative name of ``plot``." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jQqG2mk1PmxuDLlQtg6losLQUqKryJ4IxmfUB/IoGTdenVFfToYU+2ZO1yeSL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\nQeo34PvDEVfnwhAcNCAebSaT5PT6bs+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xs = np.linspace(0, 10 * np.pi, 401)\n", "plt.plot(xs, np.sin(xs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Labeling and Styling Plots ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can decorate our plot and its axes using functions like ``xlabel`` and ``title``. In calling these functions, mathematical expressions between \\$ signs is typeset as LaTeX. Since LaTeX uses a lot of backslashes, which indicate special characters in Python, we can use *raw string* notation to help. When a string literal is prefaced by ``r``, backslashes inside that string do not indicate special characters. For instance, ``\"\\n\"`` is a newline, but ``r\"\\n\"`` is a two-character string containing a backslash and the letter \"n.\"\n", "\n", "*NB: when using ``%matplotlib inline``, we can't modify figures after their cell has completed. Thus, we'll first make a function for our figure then call it to avoid repetition.*" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def sinusoid_figure():\n", " xs = np.linspace(0, 10 * np.pi, 401)\n", "\n", " plt.plot(xs, np.sin(xs))\n", " \n", " # xlabel and ylabel do what they say on the tin, namely\n", " # labelling the x and y axes.\n", " plt.xlabel('$x$')\n", " plt.ylabel(r'$\\sin(x)$')\n", " \n", " # xticks lets us set where tick marks are placed,\n", " # and what they should be labeled as.\n", " plt.xticks(\n", " np.arange(11) * (np.pi),\n", " ['0'] + [r'${} \\pi$'.format(k) for k in range(1, 11)]\n", " )\n", " \n", " # xlim and ylim let us control the limits of plots.\n", " plt.xlim(0, 10 * np.pi)\n", " plt.ylim(-1.01, 1.01)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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57fEngU8Wte8VK2DyZDh8sGnzOmjmTFi1Cnbtip+3oCzKPJ4yj6fM4ynzeqn9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\n0knFtKubKfN4yjyeMo/XzZmrgJF+nXx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sinusoid_figure()\n", "plt.title('A Sinusoid That is Somewhat Prettier')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As the title says, though, this figure still looks awfully, well, plain. We can use Matplotlib's stylesheets to make our figures a bit nicer looking. Below, we repeat the sinusoid plot for each different stylesheet. You may have other styles available, depending on what packages you have installed.\n", "\n", "To temporarily apply a style for one figure, we'll use the ``plt.style.context`` function. This function is a *context manager*, which means that we can use it with the **`with`** keyword. This ensures that no matter what happens in the ``with`` block, the context manager will get a chance to clean up after itself. Matplotlib defines the cleanup for ``context`` to restore whatever style we had before, such that it's very easy to use a style for only one figure." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/skaiser/anaconda3/lib/python3.5/site-packages/matplotlib/pyplot.py:516: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", " max_open_warning, RuntimeWarning)\n" ] }, { "data": { "image/png": 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0l3oSqor5893JgOUlQk1VZu2CYDXPlkLVPCyKNmiKyGUi8qGItIjIchE5Ls2xXxKRroRP\np4h0n2XYx/Tp0wFQ1WhiGtE/szGaHl4VR4FGX0a47rrrMraRLX7buZQcID4DJ5Z68ue7o9eIAeVp\npydLxGqeHYWqeVgUZdAUkWnAXcCPgM8BK4FnRGR4mtMUmAiMdj9jVLU+3XUmTpwIOL2ZrW4b1fAs\nqluQ0E7ly0xHH310VnaywW87l4b9xGMTG/fz4XtzW2d0vZxsAg9YzbOlUDUPi6IMmsDVwH2q+qiq\nrgEuBSLAhT2c16Cq9d4n04s15NhG5Rzfu4379b6qYqoZuJPRv18p1eUl3WzkC79WI7IIPGA1z5VC\n1twkRRc0RaQcOBZY5m1TVQX+Anw+3anAWyKyWUT+JCJfyPSa233VjWyfwP4eyN5ITF7AF5zJbrPB\nyzgNzW04EuePuPGCWT6orOa5Uciam6TogiYwHCgFtiVs34ZT7U7GFuAS4Fzg68AG4DkR+Wy6Cy1d\nuhSIHzOXbfU81di7hQsXZmUnG/y2vbaxodXlPc7pmIjne3unsmtfR1L7pvFs1+fYmQJW82wpVM3D\nIvPuryJGVdcC/imkl4vIwTjV/BnJz4J169YBidXzbEuayRv3V61alZWdbPBst3V2saOlw/Uju2Cf\neE7D3naGVJXH2Q8Dz3ZDju2CicdbzXumUDUPi2IsaW4HOoFRCdtHAVuzsPMqcEi6A0SE448/np9f\n/z3WPXQD6x66gVuu/g6nn346S5YsiTu2rq6O2trabjZ+MmcWO15zSqxetWXlypVs2rSp2xi2W2+9\ntdsEBxs3bqS2trbbsgH3339/tzWlI5EItbW1nHvuuUCsWaHxzTreePgn3Xy78MIL096HPyPcdMMP\no6WGuXPnRu+jtrbW6H3MnTuXSCTCz6//Hns+XO344T6oFi9ezGWXXdbjfdRUldG87nXWPXRDXFVx\n7ty5XHPNNd1KPybuY+LEicyZMyeuKWdIWSe1tbUsX7487th097HlrReiv+v3tkX/H57mHibvw7Nd\n39zGtpeeZMPT98WVHL10le4+aqrKKHdnHHnqruui/w/Pdqr8kcl9LF68mNraWo477jhOPPFEamtr\nmTlzJnV1dd3smUDy3S6SD0RkOfCKql7l/hZgPTBfVeemPTlm40/AblX9RrL9y5YtOwZYcfjhh3Pj\nc5t4c/NeAJ644MiM3yX2mPG/f2PLnjb69yvlyelHZXVuEN7avIdr//AeAN84ciQXn7BfVuf/Zd0O\n7nj+YwAuPXE/vv6ZtCO0jPL9p9exequj+VMzjqKqPPOxsWA1z4VC0jwSibBmzRqAY6dMmfKGSdvF\nWNIEuBv4johMF5HDgXuBauBhABG5VUQe8Q4WkatE5J9E5GAR+bSI/CdwKnBPJhfzD2zvn8XAdg+v\nxOYf0pEPgvT6Q2JVMb+N+57vAytKs868YDXPhULV3DRF2aapqovcMZk34VTL3wLOUNUG95DRwP6+\nU/rhjOscizM0aRUwRVVfoAdUNRo0h1eXZzWw3cOfebY3t9G/X1XWNnIhSK9/4jn5nEBCVaMDpLPt\nffawmmdHIWtummItaaKqP1PVCapapaqfV9XXfftmqupk3++5qjpRVfur6ghVzShgzp49m0h7Z3QK\n/+E5ZAKAYb5EuCPidBIka98xhWfbv6rhsBxKPUPj/I7ZCtv33a2d0Ylwc/EbrObZUKiah0XRBs18\nMHXqVHZGYsM+cqluQXxG8DLVRRddFMy5NHi2/ZluWA6lh4qyEgZWONU0fzAI2/egfoPVPBsKVfOw\nsEEzAJMmTYobK5ftWxIe/ie3l5gmT56c6vDAeLZ3+AL+kCwmX/DjZYTGSHt0sHXYvvuDxdCqHEs9\nVvOMKVTNw8IGzYDsbIllgmwHtkfPq44FW3/iDBvvWoMry7IeZO3htW+1dWp0He+w2RGwigtW82wp\nZM1NY4NmQHa1+Bv2g7f15CsxqWo0IwzNscQDveO7kVKP1TwrClXzMLBBMwAvvfQSTftiT/pc23qG\n+NaO9nooEweVm2TJkiXs8TXsD83Rb4i/5+158t1f6snVd6t55hSq5mFhg2YA6urqaPK1aeaamPqV\nljDYndnaewIvXrw4uIMpWLx4cXwvbpAM7Ctd78ib7zHNc/Xdap45hap5WNigGYDZs2fT1OokplIh\nmiByYVh1LDGpKg8++KARH5Px4IMPGik5JJ7rZYR8+u4vvWSL1TwzClXzsLBBMyC73ZLmkKrsZrJO\nxMsIHV3K7tbwG/eNlXp6sX1tUEUp/XLsTAGreTYUquZhYINmQPa4QTPXHkWPuIyQhzc9drSYKfXk\n229VjfoexG+wmmdKIWseBjZoBsSb7iTXHkWPfJceGpv9bbG5V7eSVRXDZE9rZ3T5W6MZ2GqekkLW\nPAxs0AyAfzquIJkAuiemZFODmeKyyy6LK/UEqSqWlUh0eVYvE4Tp+xVXXB79HsTvxPOt5qkpVM3D\nwgbNABx77LHR74ETU8LbEmG/4RHXKRG0lOz6viPSTpdqqL4fefxJ0e+BSz1W84woVM3DwgbNAPj/\n4aarLd5EwWFw7rnnRksoAytK6VcWLBl4vncqNO3rCNX3o0/5x27XzRWreWYUquZhYYOmIQqprSfu\nzZSAfkPi7DXh+u5/d9t0k0iYWM0diqFNM/B8miLyGeBM4LPAwcBgoA1oADYDrwNLVPX9oNfqywR9\nAg+pKkdwOpbCzgR72zppcxv2g/qdaKMx0s7BwwKbTImpYTtgNc+UQtU8LHIuaYrI2SLyPHALzuqP\n/wNcBUwFzgfmAL/BWR3yXhH5i4h8KbjLfYfVq1dHvwctPZSWSHTWm8bm9m7rrZhk2QsvRb+bKPXE\n9eaG7PvqFa8mvW4uWM0zo1A1D4usg6aI9BeR+3EWHfsnVZ2qqrep6lJVfUVV16rqO6r6V1X9narO\nUdUv46zqeKaI3C0i2c+V3wdZtGgRACVCtDczCNHG/ZZ25s2bH9heKh74+X/Hrhlg4giP4QmN+/Pn\nh+f7X594OPp9WMDOFLCaZ0Khah4WuZQ0ZwM3qeqdqtqU6UmquklVfwg8Alybw3X7HNdffz3grLRX\nWpL720AeXtWnS+HOe34e2F4qvnfjT6PfTbevNUbaWbBgQWCbqfjMzB8BZjpTwGqeCYWqeVhk/chz\nA1/OqOpKYGUQG32FyspKIPjwEQ9/RoioGZvJaO6K/dvDaF+rrq4ObDMZqsrujlJAreZW817D9p4b\nwEQmSLQTZs+iyYZ9cCYq8QraYfrd3NZJq6E3Uzys5ukpZM3DwkjQFJFaEXlcRIb5th1mwnYhEEZi\n2h7ie7mmZtvxKC2RaCkkzPeJd8RNT2ZmIVWreXoKWfOwMFXSnASMw1kC12OCiNwuIvlbzT7P3Hff\nfYC5kqY/Mz30n7casZmMPz54d9JrBsGzs2tfB7NnzzFiM5HGlnY2PH1f3PWCYjVPTyFrHhamguZe\n4DRVjY7BUdVngBuAKwxdo88xcqTzPAijpNmvJrxnjQwaDsCAfqVUGGjYh/jG/aGjxhixmUhjczv9\nhoyMu15QrObpKWTNw8JU0HwEWO0OJ/q6V7pU1XZiEwEVHeeccw4QTknzkMnfMGIzEVVl8Alnd7te\nUPxvipx1/gxjdv3saGln1EnnuNezmlvNewdTQfMW4Amct4FuAbaIyPsishwYaugafZagr5Z5+Bv3\n/TPimCTS3kVrRxdgro3KsRX+a32mO1PAat4Thap5mJj6D65Q1eg8aSIyAjgZ+Apwv6Fr9FlMJSbn\nbYlyGiPtofUqNhrukEhmKyzfTXemgNW8JwpV8zAxVdIUEZng/VDVBlVdDFwJFN40Jhmyfv16BOd9\nWlN4pdYtH39AZ5f5lo0dkXZa6tc71zLqd8zWO2veNWbXz45IR8z3EKq5VvPuFKrmYWIqaN4NTBWR\n73kbRORUYAfQK0OPROQyEflQRFpEZLmIHNfD8aeIyAoR2Scia0Wkx0aiBx54gAEVZt4G8vBKreuf\nvp9dvpUuTdEYaWfjEqfwH3SJDj/+0vZv7r3TmF0/nu/9+5VSaagzBazm6ShUzcPEiAqq2qGq81T1\nZ77NLwJXA/9h4hrZICLTgLuAHwGfw3kD6RkRGZ7i+AnA08Ay4GhgHrBARL6c7jqXX345gw28R+zH\ne5qPP/uKUNqpdkTaGX+2M6AhrFLP56f/wJhdD29qtfFnX8FQq7ljy2reK2QVNEXkpJ6PcnAD6b2q\n+naCjVOzuWaOXA3cp6qPquoa4FIgAlyY4vjvAh+o6rWq+q6q/jfODE1Xp7vIqFGjGFxhNjF5T+CK\nIaNCSUyNkXYqhoxyrmWw1FPja9xvr076bApEpL2LfR1dVAwZZdRvsJqnopA1D5NsS5ol7oD1gdle\nSEQqReRWIMSZ/0BEyoFjcUqNAKiqAn8BPp/itBPd/X6eSXN8lEGVZidsCrtx3+SSC35KS4Saqvh1\na0wSlt9gNU9FIWseJlkVk1T1RRHZAvxCROqBhTg950kbJUSkBKe6+w3gKOBGVX09oM89MRxnfs9t\nCdu3kbp9dXSK4weJSIWqtqa6mIkp4fz4E2c4VUVzs3AnMrSqnB2RDna2tNPZpUbbesPoxY3as5on\npZA1f+mjXaGVzrJu01TV91T1POCXwOXAOhF5VUSeFpFfup8l7hjN94HrgBdU9Wt5CJh55fHHH2eQ\n4aDpVYO2PPurUJ7AjZF2tjz7K6rLS6gqN1tK9qpcm+p+RZPhxn1Piy3P/srYEC8Pq3lyClnzP6zZ\nbtymR84dQar6sqpeoKoHArXAXOBJ4CmcTpiZwEGqer77SmW+2A50AqMSto8CtqY4Z2uK43enK2W+\n+OKLXPXNL1NbWxv3Of3001myZEncsXV1ddTW1nazcc0117Bw4cLo72FV5TRvXMv21/7Ipq3x//hb\nb72VefPmxW3buHEjtbW1rF27Nm77/fffz5w58e8jRyIRXvyva9nXsCGu5LB48eKkS6leeOGFWd3H\nxy89DUBXeys7Iu2sXLmS2tpaGhsbA9+HVxrpam+lf0kHtbW13Wb9zvU+vIl1u9pbeeKeW+L+H0Dg\n+9jR0s6e91ey+Q/xQ5YjkUjg+9j57muse+iGqOYeiekql/u46V+/Q0v9erraW6PpJVW6yvY+3nj+\nz4CXVjoyzh/J7mPx4sXU1tZy3HHHceKJJ1JbW8sz82ZRV1fXzZ4JxGnuKy7cUu4rqnqV+1uA9cB8\n/yB83/G3AWeq6tG+bY8BNar6j4nHAyxbtuwYYMXw/Q9i/IgaY753dilnPfQWXQqHDq/mnrPNjdiK\ntHVy9qOrADh6zADmnjXRmG2AR1ds4X/edJ5LN59+ECeMH2zM9n3LN7L47QYA7jxrIkeNGWDMttU8\nOYWq+e59HVy5eBVXHgHAsVOmTHnDmHHyMJ+miIQ3pXRq7ga+IyLTReRw4F6gGnjY9elWEXnEd/y9\nwEFuJ9dh7njTb7h20jK8fz+jjpeWSLSd1HRbj/+VNdNtVIk2zftufooyD6t5cgpV87A7lowo4fam\nXwpMTLApOAutXWTiOpmiqovcMZk34VSz3wLOUNUG95DRwP6+4z8SkbOAn+K8xbQR+LaqJvao54Wh\n1eXsaOlgR0s7XaqUiJnGfX/iNN1GlWizscVs+1qYnRKeTat5PMWgeRiYKmk+hvOeeQVOoPR/egVV\n/ZmqTlDVKlX9vL8TSlVnqurkhONfUNVj3eMnqurC7lbjaWrKeImkrBhWXU57cxNdCk0GM4L3BG5v\nbgolE3gZuL25iR2GJ5f1fC9v3WO8MwWs5skoVM3DngTEVNB8W1WnqOoMNyB5n2/hDBIvSu68M5xX\n14ZWl/PRIqfp1WQCaHSHvny0aK7x6hbEhtN8tGgujYYTrld6+PDX3ZqkjWA1706har4zEu5rmaaC\n5u40++al2VfQTJ8+PRS7w6rLGftlx7bJ9hkvE4z98vRQqopDqsoR177JKlJLeyeRdmdqtRO+ebEx\nu36s5vEUsuamHx6JmAqaz4jIv4rIfkn2FW3QnDjRbE+ox9DqcvqPOxSIlVRM4CXM/uMODaWq6L2h\n0n/coaEEHoBDP3WkMbt+rObxFLLmYbdpmqovPI4z2fBdYqgx95OM/60RkwkgzNfionary9nZ0sHO\niLnG/cZFGLKhAAAblUlEQVS4xb3C8ttq7qewNQ+3em4qaHYC3wZ2JWwvAeYbusYnhrCWOPVsVZWX\nUN3PfMM+OL6/39hCp0LTvg4jc43GTeJreLYdD6t5PIWs+c4CqZ7frKpPqerzCZ9ngcJbbi5Dli5d\nGordodXlNLz6ByCcUs+eN8J7QWtolXnf/Xbe/POTRmwmYjWPpxg0DwtT82k+lmb3yyau0RdZt25d\nKHaHVJXTssmxbeoJ7G/Y37c5HL/Beac4Yth3v53N779jxGYiVvN4ikHzsMgpaIpIPxHJ9FWY+3K5\nRiFw5ZVXhmK3rEQ46p+/D5gsOcTaeb763X83YjMZQ6vKOOCcq7pdMwh+DW76ye1GbCZiNY+nGDQP\ni1xLmquA6GBxEdkoIp1JPl3AFCOefsLwelp3tnTQZWB+AP+T3PSrn37CeK0vjBURk2E1j1EMmodF\nrkHzSffjsQE4ATgo4XMw8FoQBz+peAm1o0vZbWDKr7BWREwkjMZ9z051iJ0pYDX3Uwyah0VO3WKq\nOith06xUc2WKyI25XOOTTvxwjA5qAvaI5rvkAOY7JcIMPI59q3minULWPCxM9Z6fKCJzRORUd1mL\nX4vINhF5BnjP0DX6HLNnzw7N9m9viy1PZCIh+DPTXddcEtheKoZWl7PuoRsAM35H2mIN+8Oqy5PO\nuWgKq7lDsWgeFqaC5n7AUuB54BacNXeOwFnz/Htpzitopk6dGprtM8+7IPrdxHu525vbot9nzPx2\nYHupKCsRDjzFWerehN+JpbWLLgpvwiyruUMha15IJc13VPU1Ve3CmcX9HlXdoap7gS2GrtHnmDRp\nUmi2Tz4ltminiaen/w2Pr37ltMD20nHosc56dDsiHQSd5DoxA0+ePDnN0cGwmjsUsubbDc/0lAxT\nQbMVQEQ+hTN/5Qu+fZWGrvGJwnTjfvQd6H6loUzz5Weov3G/tTOQrbgMbHgZ2USs5g7FoHmYepsK\nmmNF5CrgfpxlJl4WkfHuMhJtPZxrScIwg437qhpNTGF2SHiY9D1fnSmJ9q3m3e2GQViaDza84KEf\nU0HzJ8AO4NfAV0SkCvgW0ILzXnpR8tJLL4Vm++Vn/xT9HvQJHGnvorXDa9gv67Y4l2k2vRmraAT1\nPTEDh+m71bz7+YWqeU1lHy9pqmqnqi5U1Xmq2qSqLap6k6remGwhs2IhrNXuAJ568ono0zLoWw6N\nzfGZYPHixYHs9cTfX/xj9HvQ0sOOPPpuNXfPLwLNC6Gk+YkkzCFHDz74YHR2mR2R9kCN+4klhwcf\nfDCwf+m4Ye5/J712LiQOEA/Td6t59/MLVXMbND+heI3w7V3KngCN+/l6M8XD33lgqn1tYEUpFWXh\nJ1ereXFoboPmJxT/pLVBSg/57A2FRL9zr3L5G/bzEXjAal4smg8OaQ5QsEGzT2NqOEY+e0MBhhia\nkXtvWydtnU51LR9+J17Hal64mtuSZh9l7tzw+rguu+wyY+8UJ2bgyy67LJBvPXH1lVcwqKK027Wz\nJVngCdN3q3nxaG6DZh/l2GOPDc325MmT4xJToIzQHN++FuYbHhDve5DG/cQeaM92WFjNi0dzGzT7\nKGEmpnPPPTdh4G/u7VT+Ab/9Sks499xzA/uXDr/vQRr34+ejLI/aDgurefFoXl4aXmizQbMPEzdt\nVo6TGahqtMozrDq8p28icVWuHH3Pdw+0cx2reTJ7YVJomtug2YeJq7bkOBHB7tZO2ru0m72wGWbA\n93x3poDV3GreMzZoBmD16tWh2V6+fDn9SksY6Dbu51xySNJGtXz58uAOpmH58uVmSj159t1qXlya\nh0XRBU0RGSIivxSRJhHZKSILRKR/D+c8JCJdCZ8/9HStRYsWmXM8gfnzneXivYzQmGPjfrKSg2c7\nLObPnx9X5cq1cT9ZVTFM363mxaV5WBRd0AQew5kAeQpwFnAyma2IuRRnWrvR7uefezrh+uuvz93L\nHliwYAEQSwDtnbk17ifLBJ7tsFiwYEFCVTG3xn1/w35ZiURth4XVvLg0D4v8tVLnARE5HDgDOFZV\n33S3XQEsEZEfqOrWNKe3qmpDNterrAxvqtDq6moARvjeJtne3M6gLIdSNPhmDx/hrojo2Q6L6upq\nRnTFruufwTxTOrtib6b4NQjTd6t5cWkeFsVW0vw8sNMLmC5/ARRntcx0nOKua7RGRH4mIkND8zIL\n/AmgPoeMUL83ds7IAfntlHALKjn53Rhpx23XZ8SAcDNBIlZzq3k6ii1ojgbq/RtUtRNnrs/Rac5b\nCkwHJgPXAl8C/iAiEpKfGeNPvA17s09MDb4G8rCfwH5KSyRaTWrYm337mr/kMDKPfoPVHKzm6SiI\noCkitybpqPF/OkXk0Fztq+oiVX1aVf+mqr8DvgocD5yS7rxLLrmE448/ntra2rjP6aef3m3i1rq6\nuqSr+l1zzTUsXLgwbtvKlSs55phjaGxsZKSv2rLw5z9l3rx5ccdu3LiR2tpa1q5dG7f9/vvvZ86c\nOdEncGVZCaWdrdTW1nZbKGvx4sVJX5W78MILc7qPOXPmAFDa8AHrHrqBhsbG6OSwALfeemuP91Hv\nZvptLz3JCwv/M3rcnDlziEQi1NbWduvVDXofc+bM4ZprrmHFM09Et9U3t7Ny5Upqa2tpbGyMOz7V\nffzu9qtpqV9PZVmsV3jq1KlRXTxM3odn2wt2K391Fw898mjcsT3dR70v0JY1N0T/H36/vXRl6j48\nW+tXvhxdUbPeFwBT5Q//fSxevJjf3X41q++Ywd/unMmlF05n5syZoc13K0EXYcoHIjIMGNbDYR8A\nFwB3qmr0WBEpBfYB31DVp7K4Zj1wvao+kGz/smXLjnnyySdXzJo1K5Q2n/vvv5+LL76YDbv28e3f\nvAPAqQcPYdapEzK2oar808Mrae1UxtdUsuAbR8TZDgvP/k/qPuS5D3YB8NA3j2C/wZm3AS9auY0F\nr20G4PrJE/jSQUPibIeB1bx4NI9EIqxZswbg2ClTprxh0ueC6AhS1UagsafjRORloEZEPudr15wC\nCPBKptcTkXE4QTrtSprnnHNOpiazxkukQaotu1s7aXVnrPE3tIeZef3249qp9rZnlYHrUzTsh+m7\n1by4NA+LgqieZ4qqrgGeAR4QkeNE5CTgv4Bf+XvO3c6eqe73/iJyh4icICIHiMgU4LfAWtdWr1JZ\nVhKdvSbbBvL4xvH8tlElXjOY7/nrTAGruWPHap6KogqaLrXAGpxe86dxlhO+JOGYicBg93sncBTw\nFPAu8ADwGnCyqgabAtsQXkLY3txOZ1fmzSlxwzB6OQNnW3rwGvZLBYZU5TcDg9Xcap6aoguaqrpL\nVf+fqg5W1SGq+h1VjSQcU6qqj7rf96nqV1R1tKpWqupBqvrdTMZsrl+/PqzbiOvY8RJCl2b3mpm/\nYd/foZTYaWQaz76/tFKfZW+uV3oY3r8fpSWxQQxh+m41Ly7Nw6LogmY+eeCBpH1ERvjxj38c/T4y\nrp0q89KD/1j/E9hvOww8+7mOvWtp74y+FTIioZoYpu9W8+LSPCxs0AzA5ZdfHprtO+64I/p9RI6l\nB3/1zJ8g/bbDwLPvX5grm0z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HxGjWxGSa/s4CS7s9caqMn8BTRf+0trjMDnBEmzS5YuOCpnlq5FXz0JjTDMD28eqAZlfB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\n0VuAx4HXqmplj3q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V/p+BHPBxEQlkUjmFQikgdHVteBDmzkus8wCi0tGTm8MbHs4nM1e9gGp+KpnW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\nrLXlRxj/GmGamzGvvRr35U/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c6Jg6daozm0Nhmp/gjaB5WDeXXNykuV5EZgGPAU/j3dF+1IHd04ba2lrOOOMM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\nO0Rkd9rnOw7tzxSRT/n/Tz8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M5SBVtXBJg8+r6iPQPT9jf2CRB9uOGrq7bnjsHNXSDmOGQ9+El09rGgnPLPdX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\nf08HtnoqdzTwKVy3lUlAM/A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GdOd3/zkReRhjpG8D8Lr+lwJfy3DZ/cCbUtLe6KVnZevWrZx33nnFVzgNXS1H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\nqubOQEacuupKzulu4YEXh4/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mFS8vevl5a+3dsHt/xvHAHz3Ytt8Qx9SNKOk+bpy3Kkdk1qyAFSv83Q+jgY74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\n/Z7LgVOAK6y1HfV8TinaxR6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5WB5KUf4INVX2n4FtDHjqRlun/WkbEJt4D8b2ts5+RKB+pv10ttM8MVHWPCiy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\nRU5ErkJggg==\n", 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99zaze7d7/dRTOTZvznHZZek+WVXz5Emj5pkOkNUiIkuBNuCeaJu1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\ngg==\n", 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5h4N8Txl6O8PpNk0mU853lMmkr6uZ1GKa+YVl2lrc/YIH3bAwDY1pfiJx1nwi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\n70fDLKdXGE/Mc/+jI1yy8/R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OvrdnaHH25Xv2jfLiZ6+utWkFueJZq5nJLPBfP3E3/S33DNGxqp4L\nzqpNRFAspnn1iaPm8ZgOuXqsAxQ4nrP9eLAvtrz2sjV8994hvv6jfg4enWJFYx0/d2Fnrc0qyNrV\njVx6Xju7v3+MDd1N3HLPIL96xdpYzSaTD9O8+sRN89hFkCLyURFZWOYzLyJn19rOanNm7wpec2k3\nn//2EW69b5h3vGo9K5vj2dUkl197xXomZxa47m8fpbezide+YE2tTSoK07z6xE3zOEaQfwl8scAx\nj5VZ9jFAgLWcHEWuBe5b5rxmgGuvvZbW1pOrKVdddRUvf/nLyzTHkU6n2bNnT8HjntOrtDxnnJbm\nerpTT7BnzxNeyy+HYst+14syHDgyxXlbWtj70ANeyy4H07yyssvBl+Y333wzt9xyy0nbxsbGwl/9\nDthW1cR/gKuBoSKPPQLszPreBkwBv7LMOW/EVc3tYx/7xPvzRp++JY4RZNGIyCagE9gC1InIs4Jd\nj6rqRHDMXuADqvr1YN9fAX8oIo8CjwN/DDwJfJ383AK8KTi+8OIZhmFUm2ZgK+5Z9YbkDklKEiLy\nRVw3nVxerKq3B8fMA9eo6pezzvswrh9kB/DfwPtU9dHoLTYMI0kk2kEahmFESexasQ3DMOKCOUjD\nMIw8mIMsgIi8T0QOisiUiNwpIs+ttU1G8YjI80Rkk4ikRGS9iFxca5uM5GAOchlE5A3AJ4APARcA\nD+AmtuiuoMyVIvIvIrLRk5lhuc8Tkd8SkQ+JyM0icrnHsl8kIjtE5BoR+WcRudBX2Utc62MicpnH\nIt8DPAFkgH8DBj2WjYj8WjCr1FtF5BqP5T4uIsM5n096LH+riLwn+J/+nog822PZzxWRT4rIO0Xk\n4z5my1rquRGR54jIrkD7z4nI1kqvcwq17sMY5w9wJ/CprO+C6xJ0XZnlXYNztvPAZo92rgD+LOv7\nL+FmKer1VP4A8Jbg998CDkek9wtxnfkv91jmB3EDAdZHYO87gY8Gv58FDHsqdw3wm7huK1uAzcBn\ngDaPtn8s5/tXPJXbAfQBHcH3dcAPKyzzlOcGaAQOAt3B90uA23z/jy2CzIOINAAXcfLEFgp8jzIn\ntlDVL6rqR3CO1idnAR8QkTOD77fgnKavSOxFwNeyvnsf+yUircD5wE99F62qx1X1iNdC3fR4HwVu\nAFDXTexZy55UQvHAl1T1cVV9AngB8GV1E6v44nUicn7W9/xLCpbGS4BpVR0BUNVjwBkisqHcAvM8\nN5cDaVUdCL7fBVwiIl7HVJqDzE83zhFEPrGFiHxKRB4UkWMi8lMRORr8vLGY81X1QeAyVQ2HYG7B\njSp4pNKyg/IfUtXwAfp54DofdudwLfC3ZD0EnspfKSJXBymCL4jIOZ7KvhQXLW0TkTeIyJ8AvT7K\nVtU+VR0OytoIbFPVuzxqAi4ivUdEPiEiHwQ+7an8UVx0l00LcL7n+2UrsDhJtqouAGPAeZ7+jsWC\n7bN0WN8LLAAX52z/OHBHhWUvcKKq8FbgmbiX1W/gHMTvVVj+l3G507f4Kht4LvCR4O9v8mk38Grg\n6cHvt+GiAy+2A8/N+v1K4GEfZQM7cFW+FwTfV+LSL940D8r9ErDF970C9AT3yT7gKeDFPsrHBRV3\nAVuD7y/AOU0fmmc/N78HfDtn/yHcvK7edEr0UMOIGcA9AGtztq/F5cm8oMEIHxF5OXA/8AzcDVUW\nQUPBUVX9QNa2istW1buBu0XkXbjRR1eo6mSlZYtIL7BaVU+qWqvqP3iyPXt2hEeB7cADqvpghWWn\ng593B/ZOiEgK6PdQNgAishan8xPBNbzcKyKyCvgsbo6BBeD/Av8KPFtVn6ikfFWdF5ErgTeKyDBO\n8yngkC9dAtKcmqpaBQyo6r+Dn/veqth5UNUMcC8u6gBARCT4/qMILnl1UO4ZlJmjFJFXAClV/YCI\nNInIlkrLFpGLg2pKWNYPgOcA4RRGldp9FbBeRK4TtxzG2biH6yoftgMjcmI5jVZc6iFc0aoS2+8L\nysrOx2Z/r/j/idN4YIntlZb9UuAHqjqtqrPq8nufwdUSKi5fVcdU9XOqehMuqq4D7vBke8heXBQM\nLOaEW3E9FkIqvpZFkMvzSeBGEbkXV23Yicun3OjzIiKyDVipqhkRacZVD0ot43Lc0hHfEpF1wMXA\nseDGqaTsOeB/cbMgATwN52Ae8GG3qt6Y83e8G/iqqt4ubt7PSsp/EvhzVQ0d4mXAj1R1b6Vlq+pR\nEfmvoMzvBo0DC8D3Pdgdch5w0jqoPjTHRXU/n7OtHvixp3vxGC4nfgB4N/CnqjrrUReA24EeEVmv\nrgHuCuAuVT0c2OBDJ3OQy6GqN4nr83g9rmp9P3CVqvaXU56I/Couv6bAx0TkdlX9LPAG4J+Dwx7G\ndR8ppdwzgG/iqhjg3pYKtOO6i5RdtqreKyJ/D/y6iCjOIbxKVQ+IyB9WUnbO37ABeD9O598WkRZc\npFqJ7U+JyH0i8tu4KGYb8IvB7td7sP1twIdF5OnAmcCrVXVKRHyUDa5auD9nW0X3CrhGPRH5joj8\nBe4l0gR8V1UPe/qf/iXwMhHpACZVdVewvSxd8j03InI18Aci8uNg/5uyTqtYJ7DJKgzDMPJiOUjD\nMIw8mIM0DMPIgzlIwzCMPJiDNAzDyIM5SMMwjDyYgzQMw8iDOUjDMIw8mIM0DMPIgzlIwzCMPJiD\nNAzDyIM5SMMwjDyYgzQMw8iDOUjDMIw8mIM0DMPIg80HaZxWiMglwDm4dc5vxc0/+fPAtaraV0vb\njPhhDtI4bRCRNuAsVb1RRMZxkwlfSbBUaU2NM2KJTZhrnDYEU+9ngoWl/hx4UlU/XWu7jPhiOUjj\ntCFYpGo++PpSXBU7jCwN4xTMQRqnDSLyahHZKSJn4qraDwUrVb6l1rYZ8cSq2MZpg4i8Ddc48zCw\nGpgAMsBuVR2poWlGTDEHaRiGkQerYhuGYeTBHKRhGEYezEEahmHkwRykYRhGHsxBGoZh5MEcpGEY\nRh7MQRqGYeTBHKRhGEYezEEahmHkwRykYRhGHsxBGoZh5MEcpGEYRh7+P8O+jeEerAKyAAAAAElF\nTkSuQmCC\n", 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SLHWb5/70xKUezxcvXsyCBW1AG8uWuWOwtbXVq77cJcEY/A64UESGiMh44HRc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\nxpKgYRiDmv8Pejt7OPoLmSQAAAAASUVORK5CYII=\n", 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BhzCWrOjevdHJsPJzK55vb3cYKFx03ocnQvOtFVzzzqiq5rFwA9km7RjI/p5QWYrct2No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\nd0py3EsIv0TTPEn3AuCQ2GU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5K8iyiWaTX0J4G6q6TFWvV9WPA5N9no9nWKdRhTwu/Lwmr2QdTcY7ztavh5Ur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\nT+NG4C4ROUxV1zepd/C9R/p6pmVhE1V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N5o4y2zxPZxykVUhE9setQTElhLyMOBOYjYuGjwaWApfipmz7KG5Mcm2i6q9E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\npNNuzOb5UwabmzNunEm45oi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FCdPcsz1onhUhAmiXiHwAP+vR/SIyE5gawK6RIHTHQF4lCgjbMVCaDi6vzAym\nuWlemRAB9Gf4pTxOAKYApwEFW1uv/Qn9lkaemTlkx0BeHTHJa5jmW2xmTdE0b7ppVVWfxa/LXuKS\nZm0a2xK6Y6CvDw49NIytWnR2wp8DvZuWZ2Y2zT3bg+YLFoSxV4519hSE3Xf3DeGhqmXPPJNvaSik\n3x0d2bZrlTDNPaZ5ZSyAFoSQHQObNvm3M/JsjwvVMdDX53uxsxqWksQ095jmlbEAWiBCdQw8+6zv\nWc0zM0dRmLVp8mxHBNMcTPNqWAAtEKE6BvJs00peJ5TveWZm09w0r4YF0AIR6smcd2YudQyE8r2I\npSHTvH6KpLkF0AIR8sk8ZEg+nQKwpWMglO95vFJYwjQ3zathAbRAdHb6dp1mJ4Ytre/dkdOvP2SI\n74RoNlNs3Oi/f96lIdPcNK+EBdACEapjIO8qGYSpli1d6r9/3pnZNDfNK2EBtECE6hhoRWYOUS3L\nux0xeS3TvHl/6qVImlsALRChOgaKWhpqRWY2zf2naT44FkALxB57+PacIjyZywlVGho2zK+dkxem\nuWleDQugBSJEx8CGDf4NlVaUhprtGMi7IwZMc9O8OhZAC0az1bLSNGGtyMybN/sMnZZWlOLANDfN\nK5PD263ZISK7At8HTgE2A78BPqmqa6qccyVwdtnuW1T1LZk5GpBmq2WtaNNKXq+ZiXlblZlN83A+\n1UtRNC96CfTnwP7ALOBk4BjgijrOuxkYj58EegJwRlYOhmbiRD/DTFpK57YqMzfre6sys2meL0XR\nvLABVET2A04EPqiqD6rqfcDHgXeLSK1VoF9S1WWq+mz893zmDgdi8mTo7U1/fk8PjBgBY8eG86ke\nxo/3nRHN+h5qlclGMM3D+VQvRdG8yFX4o4DnVPXhxL7bgQg4EvhtlXOPE5GlwHPAncDnVXVlZp4G\npKvLN46vWwc77dT4+YsX+5vTufC+VaOjAyZN8jd2Gp5/Hlav9r7njWke1q96KIrmhS2B4qveWzWP\nq+oAsDI+VombgfcBbwQuAo4FbhKRnG/vdJRu5sWL053fqhIFeN/TZubS921VaSjpQ6OY5o1TFM3b\nrgQqIpcCF1dJEuHbPVOhqtcmNp8QkceBBcBxwB+q+HUGldtKx69dm89CpKWboqcHpk9v/PyeHpg5\nM6xP9dLVBYsWpTu3FARakZlN83D+1EtGmo8UkeurnDZbVWc3cp22C6DAN4Ara6RZCCwBtppnRUSG\nAGPjY3XmUibVAAAPzElEQVShqotEZDmwD1UCaCzsoOKKyMIRI0bsXe81m2HSJP+ZtlTR0wOnnBLO\nn0bo6oK77053bk+PHx9YekslT0zzsD7VQ0aar1HVU5twaxvaLoCq6gpgRa10InI/MEZEDk20g84C\nHDCn3uuJyCRgNyDQMlbZMny4X/IgTdXmpZf8BA2taNMCn5n7+vzA7kaXh1i82E+pNmRINr5VwzTP\nxrdqFEXztgug9aKq80XkVuDHInIesAPwPXwx/OUSqIjMBy5W1d+KyEjgC/jxokvwpc6vAk8Bt+b9\nHdLS1ZXuyVzq1WxVe1xXl19fvL+/8Zu7le2IYJq3giJoXuROJID3APPxve83APcAHylLsy8wOv5/\nAJiJ76FX4MfAA8Axqhpg+a18SNsx0Mo2LdiSgdP63srMbJrnTxE0L2wJFEBVVwFn1kgzJPH/euCk\nrP3Kmq4uuPHGxs8r3Vil9qW8SXYMHH10Y+f29MBRR4X3qV5M8/wpguZFL4G+Iunq8m1DUdTYeYsX\n+6Ue0oyrC8GoUTB6dOPtWgMD/s2SVlcnTfN8KYLmFkALSFeXH2C8omZX29a0ukoG6dq1li71S0u0\nOjOb5vlSBM0tgBaQtO1a7ZCZ07RrtbodEUzzVlAEzS2AFpBku1Yj9PS0bjhNiTSloVL6VvpumudP\nETS3AFpAdt/dj5NrpF0rinz6VpeGSu1ajbB4Mey8M4wZk41P9WCa508RNLcAWkA6OvwTtru7/nOe\new5efLE9MvPKlfDCC/Wf8/TT/ry8J+NIYprnTxE0twBaUKZOhYUL60+/YMGW81pJ6fqN+t5qv8E0\nbwXtrrkF0IIybdqWm6UeSmmnTcvGn3opXb9R31vtN5jmraDdNbcAWlCmTfNP5nrHyC1Y4CeXbWWb\nFvh2rZ13rj9TDAz42YTaJTOb5vnS7ppbAC0o06bBmjV+vF49tEuJwrnGShXPPONXWGwH303z/Gl3\nzS2AFpRGq2XtkpmhsczcLtXgpA+meX60u+YWQAtKqZG8XW+sajSamZ2DKVMydakuTPP8aXfNLYAW\nlJEj/XyJ9dxY69b5alk7ZeaeHv+qYC0WLPBDWYYPz96vWpjm+dPumlsALTBTp9Z3Y5WWdGiXzDx1\nqu+oePrp2mnbqRQHpnkraGfNLYAWGBF46qna6Upp0qwtkwUi/rNe39vFbzDNW0E7a24BtMDMmAHz\n5tUe4jFvnh/aMX58Pn7VYvJkP6xm3rzq6QYGYP58OOCAfPyqB9M8f9pZcwugBWbGDD/Eo9a7wk88\nAfvv39rX8pI45/2plZkXLvTr2+yfeg3W8Jjm+dPOmlsALTAzZvjPWpli3rwtaduFUqmiGqXj7eS7\naZ4/7ay5BdAC09UFI0ZUv7FKVbJ2yhBQX7Vs3jw/m3orltWthGmeP+2suQXQAtPRUbta1t0N69e3\nZ2Z+4QU/7KQSpRJFu1SDwTRvBe2suQXQgjNjhm/7qUQ7Vslgiz+1fG83v8E0bwXtqrkF0IIzcyY8\n/rivwgzGww/DrrvCnnvm61ctpkyBXXaBRx4Z/PiGDT7DHHRQrm7VhWmeP+2quQXQgnPEEb6HslL1\nZu5cn6adqmTgq2WHHeb9G4zHHvO9wUcema9f9WCa50+7am4BtOC8+tU+Y8yZs+2xKPI3VjtmCPB+\nDeY3eL+HDYNDDsnXp3owzfOnXTW3AFpwRo6EAw8cvFTR3Q3LlvkncztyxBG+Q2OwTo05c+Dgg2HH\nHfP3qxamef60q+YWQLcDKpUqSjdbu2bmUolhsEzRzqU4MM1bQTtqbgF0O+DII+Gvf4Xnn996/333\nwd57+xnJ25GJE2HSJO9nkhUr/Ji+dg1CYJq3gnbUvNABVET+RUT+JCJrRGRlA+ddIiJ9IrJWRH4v\nIvtk6WfWvPGNsHkz3Hnn1vtvuw3e9KbW+FQvs2Z5P5PcfvuWY+2KaZ4/7ah5oQMoMAy4Fri83hNE\n5GLgY8CHgSOANcCtIrJDJh7mwN57+xlobrxxy76FC32J4sQTW+dXPZx4ou/9Tb7nfOONvr2r3YYB\nJTHN86cdNS90AFXVL6nqd4DHGzjtk8B/qOoNqvpX4H3AROC0LHzMi3e8A37zGz8MBWD2bN/wftJJ\nrfWrFief7Cfu/cUv/Pa6dXDddf77tDumef60m+aFDqCNIiJ7AxOAO0r7VHU1MAc4qlV+heCss2DV\nKvjZz/yA6B/9CN7+dn9ztTOjRsE//ANcfrmfLf2aa+DFF+HMM1vtWW1M8/xpN82HtuayLWMCEAHl\na/wtjY8Vlv328zfS5z4HN98Mvb1w8cWt9qo+PvtZOPRQnznuuAPe/e72mhG9EqZ5/rSb5i6qd8Hl\nnBCRS4FqkkTA/qr68hzVInI28G1VHVvD9lHAvcBEVV2a2P9LYLOqnlHl3DOASsdP7ujo6Jg4cWK1\ny2fOwAAsWeKfzLvt5ksaRWH1at8TvMMOfiagjoLUjUzz/EmjeX9/PwMDAxuBW6okm62qsxvxpR1L\noN8ArqyRZmFK20sAB4xn61LoeODhaifGwg4qrois2rx584je3t7elH7Vw0h8h1dNhg3zmWP16vC2\nU9CQ31EEfX3hbafENG/Cdkqy0rwTX0g6tQnftiWKosL/TZ8+/ezp06evrDNt3/Tp0y9MbI+aPn36\nuunTp7+zSR+uz/g7ZmbfbG9fvhfVdhF9b8cSaN2IyGRgLLAXMEREDo4P/V1V18Rp5gMXq+pv42P/\nBXxeRP4OdAP/AfQCv8UwDKMBCh1AgUvww5BK/CX+fANwT/z/vsDoUgJV/ZqIjACuAMYAfwTerKob\nsnfXMIztiUIHUFU9BzinRpohg+z7IvDFbLwyDOOVQkH63QzDMNoPC6CGYRgpsQBqGIaREgug4Who\nAG6b2Tfb+ds32/nbD2677d5EMgzDKApWAjUMw0iJBVDDMIyUWAA1DMNIiQVQwzCMlFgANQzDSIkF\nUMMwjJQU+l34dkFELgA+g5/V/lHg46r6QGu9MupBRI4A+oFn8L/fZFUdZPVxw9gWC6BNIiLvAr6J\nX+VzLnAhfpXP6aq6PIW9kcBVwIWqGmyC5jhQvA7YBb/+01dU9Z7qZzVk/1j84nw7AicBX1XVv1Q/\nK9V1/hP4nar+KZDJ84Cz8SsdPAi8N5BdAETkg/gJu3uBIapaa7LwRmx3k5hpLOZKVf1UANtTgDcD\n6/H+36KqjzRrN7Z9OH51h/nANODHqvr3Jm1uk29E5DD87/kwcDRwqap2N3OdcqwK3zwXAleo6jWq\nOh/4KLAW+ECjhkTkHHxJ9nQC/jYishNwmqp+S1W/BPwYuFlEOkNdA/gNMDQOEHPIYH5VEXk98H5g\nmxm2mmARfrbyyap6ZLMZOYmIfBjYR1W/AtwHfCug7d3xc9seChwCHAz8jHCzjH1UVS9X1StV9T/x\n92XTiMgY4EbgElX9EfBt4OombW6Tb+Jlyn8FfFlVr8GvchHs4VXCAmgTiMgw4NVsvcpnBNxOilU+\n45v1S/hlR0KyD3CxiEyNt28FdsI/lUNxLPDrxHbIIIeI7ALMBOaFtAs4VV2qqvUvalEHcQa+FLgM\nIA7MB1c9qTEccLWqdqvq0/j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1J5bcTGtr/JUV/OeVom5YXPkwUM3zybLmaW9BThWRPwJP4abcAJwL3O/B9gGB\n+2b1b7etDc6OMROcuym8iD+7USUaOTLu1ox/u6p5ceLUPI7HgMFPC/JduGevuwGT86OUyejR/r9Z\nu7uT6e5BPK2ZOAc6QDXPJ6uad3XB+vUwYoRfuxE+WpD/x1p7b+4BEXncg90DhtGju7zfOBs3uqR7\nnAMGgwfDoEHdtLX5zdTEPdABqnk+WdV8wwb3xRRXF9vHaj73Fji8qVa7BxKjRu1h61bYssWfzehG\njLM1A65V4LvbFHcrDFTzfLKueapykCLyEeCv1to2Efky0JBX5C24VXOUMogS421tMGSIH5tRBRo3\nDnb1+gBlbYwa5b9V0NoKRx3l12Y+qvneZFXz3AD50kt+bOZSbQvyQuCE8Pf34AJtbv4xe8t21JFo\n7UCfrYLoxolj6apcstqaUc33JuuapyoHaa09Keftf1prH4BX12ccACzw4NsBQzT3zGerwC3aCv36\n+bNZiNGj97z6/LEPooGO8eP92SyEat7D/qB5XINLPgZpPiwiU3DTeh7GjWjf58HuAcPgwQGDB/v9\nZl23Lv6kO/ifurFhA+zeHb/vqnkPWda8tTVev30Mhd1vrf018O/AXdba93qye0Dhe1P4uG+ciCjx\nvnWrH3u5eby4Uc0dqnlxfASyaGbpqbjNsCCutYf2Y3zveZxUZY2e3fXle5KVVTV3ZFnzuFvtPgLk\nRBH5OG7VnMdE5Fhgqge7BxS+9zxOsjUTXc8Hra1uEYa4BzpANY9QzYvjI0Deittq4WxgMvAOYKcH\nuwcUPrse0b4oSVZWn62ZMWPiW98vF9XcoZoXp2ZJrLUduH2pI66o1eaByLhx/r5ZOzvdzZNEZR08\nOGDQIL+tmST8BtU8Iquad3S4Efi0tyAVDzQ2uicMfCTek8wpGeO3VZBkZVXNHap5cTRApgSfS9In\nWVmj62S1NQOquWpeHA2QKcHnKi2trXDQQW4CbRJkuTUDqrlqXhwNkCnB542zbh2MHQued6gtiq/K\numePW7oqi5VVNS8P3wEybs01QKaEoUPdxvA+uk1JtgjAX3dv/fr4k+65qOaqeSk0QKYEn4n3pCtr\nYyNs3gzbttVmJ+k8nmqumpdCA2SK8NUqqEdrBmq/6ZOurNG1VHPVvBgaIFNElr5Zc/GVV2ptdfmk\nuPYXKYRqrpr3hgbIFOHjMazdu90E2npU1lp9j3YEPCjBu1I1V817QwNkivDxIH97u3uNe22/XIYN\ng4YGP63uxGCiAAAR50lEQVSZJP0G1Vw17x0NkCmisRE2bYLtNayFVI+ckq/Ee9LdVFDNVfPe0QCZ\nInwk3utRWaPr+eju1cNvUM2TxIfm69btbSsuNECmCB+J93Xr3PLzce3RUQwfrZmkVuTORTXPpuat\nrclonsACR/EhIsOBnwHnAt3A74AvWmuLzg4TkRuB8/MO32+tfUtsjpaJj8R71CIwxo9P5dLYCM89\nV/35u3a5faXrVVlV8+TIkuaZDpDAbcAY4CygH3ATcD3w4RLn3Qd8FLcDI0CMm3SWzyGHwIABtd84\nce9OV4hau3tJ7Smdj2qumvdGZgOkiBwBnAPMstYuCo99AfiTiFxirW3v5fRd1trOJPysBGPgsMNg\n7drqbbS0wIQJ/nwql8MOc4n3rVth8ODKz29pca9J+66aq+a9keUc5CnAS1FwDPkrEABzSpx7pois\nF5FlInKtiBwam5cVMnFiz41bDS0tzkbSRNes1vd6VVZQzVXz4mQ5QI4FOnIPWGu7gBfDz4pxH3Ae\n8HrgUuAM4F4RSTiDVJiJE2HNmurODQJ3bj0ra7W+r1kDw4fDkCH+fCoX1dyfT+WSFc1T18UWkSuB\ny3opEgBHVmvfWntHztvnReRZYAVwJvBQb+e2tLTQJ4a1lbZt20ZzczMAgwYdyqpVQ2luXl2xnY0b\n+7Br1xT69m2jublnnCrXvm8i27t3gzHTePLJTqZN21yxnWefHcWYMQNobu5pViThN6jm+4PmXV1d\nPl19ldQFSOAHwI0lyqwE2oG9lsoUkT7AoeFnZWGtXSUiG4AmSgTICRMmMHDgwHJNl01zczNNTU0A\nHHccXHstTJzYRL9+ldl5+WX3OmdOI6G5fez7Jtf2uHGwc+dompoqX8F00yZoamIvP5PyWzXPvubb\nt29n6dKlHr11pC5AWms3AhtLlRORx4BDROT4nDzkWbiR6fnlXk9EDgNGAB53662eiRNdF6K1FSZP\nruzcKKdTj+5edN1a8mGnnebXn3JRzZMnK5qnLkCWi7V2mYjMBX4lIp/FTfP5KXB77gi2iCwDLrPW\n/kFEBgGX4+ZLtuNajVcBy4G5Sf8NhcjNK1V646xZ46ZPjBzp3a2yqCWvVK88Hqjm9SArmmd5kAbg\ng8Ay3Oj1PcA84N/yykwHhoW/dwHHAn8ALPAr4AngdGvt7iQcLkU0oljNTb9mjTs/6QnLERMmVOf3\n5s2u21SP0VRQzetBVjTPbAsSwFr7MiUmhVtr++T8vhN4U9x+1cKgQXDoodXfOPVqEUBPd6+7u7Ll\ns+rdTVXNkycrmme9BblfUm1eqV7z8SImToRXXoHOCqfg17uyRtdWzZMlC5prgEwh1eaV0tCaifyo\nhDVrXOsn6WeCc1HNkycLmmuATCHV5JV27XLP1tYrpwTV55XWrHEVtW8dEz6qefJkQXMNkCmkmm/W\naH28erZmRoxwq1xXU1nr6Teo5vUgC5prgEwhEye6UcZNm8o/J7rR6nnTG1PdTZ+WyqqaJ0sWNNcA\nmUKqySvVc+GBXKqprPVaDScX1Tx5sqC5BsgUEk2cXbWq/HNWroTRoyGGJyErYvLkyvzes8dVkClT\nYnOpLFTz5MmC5hogU0hjo8srrVhR/jkrVsC0afH5VC7TpjlfgqC88mvWuApbb99V8+TJguYaIFOI\nMTB1arpvnGJMm+byShtLPk3viP7GevuumidPFjTXAJlSolZBuaSpskL5vq9YAX361H/AAFTzepB2\nzTVAppRKbpytW2H9+uxW1kmT3A519UY1T560a64BMqVMmwarV0M564CuXNlzTr0ZOtStslJJZU2D\n36Ca14O0a64BMqVMmwa7d5f3rGpackoRlbQK0lZZVfNkSbvmGiBTSiXdphUr3OoooytfVDoWyq2s\nQZC+ygqqeZKkXXMNkCll0iSXSH/hhdJlX3jBLZ1frzUJ82lqKs/v9nbYtg1iWuG/YlTz5Em75hog\nU0q/fjB9OpSzzcbSpTBjRvw+lcuMGS6Z/uKLvZeL/ra0+K6aJ0/aNdcAmWJmzIAlS3ovEwTw/PPp\nueGhx5dSN/2SJa6CTJ0av0/loponT5o11wCZYsq5cTo7XashTZX18MPdWoOlfF+yBETqu+RWPqp5\n8qRZcw2QKWbGDLfrW7TNZSGiGytNlbV/f5crKqeypslvUM3rQZo11wCZYsrpNi1Z4ib8pmVUMqKc\nVkFaKyuo5kmSZs01QKaYcrpNS5a4cml4KiKXUpW1s9P9pK2yqubJk2bNNUCmmIYG9435zDPFyzz7\nLBx1VHI+lctRR8HatcVHVZ97rqdcmlDNkyfNmmuATDknnQRPPFH4sz174MknXZm0Efn05JOFP1+w\nAIYMca2CtKGaJ09aNdcAmXJmz4annnJbe+azZAls3+7KpI2mJjjkEJg/v/Dn8+fDiSe6ScJpQzVP\nnrRqrgEy5cye7XZye/bZfT9bsMDlbk44IXm/SmGM833BgsKfL1iQziADqnk9SKvmGiBTzvHHuzlr\nhVoF8+fD0UfD4MHJ+1UOc+Y4H/NXul63zv3MmVMfv0qhmidPWjXXAJlyBgyAmTPh8cf3/Wz+/PS2\nCMD51tm5754jUSVIq++qefKkVfNMB0gR+U8R+YeIbBOREk+h7nXeFSLSKiLbReQvIpKSR/cLc/rp\n8OCDe7cK1q933ZHXvrZ+fpXi1FNd1+jBB/c+/sADbsOo8ePr41c5qObJk0bNMx0ggYOBO4BflHuC\niFwGfB74NDAb2AbMFZF+sXjogXPOcd2j55/vOfaXv/R8llaGD3ff/Pff33MsCGDuXHjTm+rnVzmo\n5smTRs0zHSCttd+w1v4EKJDaLcoXgW9aa++x1j4HnAeMA94Rh48+OOMMt2r0nXf2HLvjDpdPGjOm\nfn6Vw9veBvfd55bLB1i0yK3r97a31devUqjmyZNGzTMdICtFRKYAY4EHomPW2s3AfOCUevlVigED\n4N3vhptvdqsvr1vnKsCHPlRvz0rzwQ+6KRq//a17f8MNbsHTN7yhvn6VQjVPnjRqnqI1PRJhLBAA\n6/OOrw8/Sy1f/CLceCNccw0sXuxG9M47r95elWbSJHjnO+Fb33ITlG+4Ab7ylXStJlMM1Tx50qZ5\n6iQTkSuBy3opEgBHWmuXJ+RSKpg5Ey68EC65xL3/zW9g2LD6+lQu3/++ewrijDPcc8AXXVRvj8pD\nNU+etGlugvwJU3VGREYAI0oUW2mt3ZNzzvnA1dbaQ0vYngKsAI6z1j6Tc/xhYJG19uJC5y1cuPA1\nwD8aGhroE8NjCDt27KChoaFkue5uWLhwAIMHd3PkkQUeOajRfjWUa7uzsw9LlvRj1qydDB5c3j2X\nBr9Vc3/EqXlXVxc7duwAOHXWrFmP1uZpD6lrQVprNwIbY7K9SkTagbOAZwBEZCgwB/h5L6dOBqJ/\nQCxsjTLqJTjyyK1h+XjsV0M5thsaYNasqLxf29Wimldvu1ri1hxXV/ffAFkJIjIBOBSYBPQRkZnh\nR83W2m1hmWXAZdbaP4Sf/Rj4qog0A6uBbwJrgT9QnLnAh8LyOz3/GYqi1M4AXHCc69NopgMkcAVu\nmk7EU+Hr64B54e/TgVezGNb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for style in sorted(plt.style.available):\n", " plt.figure(figsize=(3, 2))\n", " with plt.style.context(style):\n", " sinusoid_figure()\n", " \n", " # We force the title to be black so we can read it, even on a white background.\n", " plt.title(style, color='black')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "My own preference is for ``\"ggplot\"``, so I'll turn it on now using ``plt.style.use``." ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ixYqI91m7dq0uH4Wxe/du/PnPf0Z1dXXEr4dW4B47dmyPnyuSrv6sffTRRxEnjqEjLKHr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\ndKUdfxJwsA7YtbXD+6lvvgAGHwetV4rQyOyLzeW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.style.use('ggplot')\n", "sinusoid_figure()\n", "plt.title(\"A Much Prettier Sinusoid\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib offers a wide range of different plotting functions in addition to just ``plot``; here, we'll show just a few. Please visit [matplotlib.org](http://matplotlib.org) for much more complete documentation." ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xs = np.array([0, 10, 4, 21])\n", "plt.bar(np.arange(len(xs)), xs, width=1)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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06KHY2FhJUtOmTZWRkaHMzEybJ7NHbGysey2qsnPnTg0ZMkTdu3eXJE2aNEnJ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\nAABg9P8B/7JNHSh/5i8AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import itertools as it\n", "die_rolls = list(map(np.sum, it.product(range(1, 7), range(1, 7), range(1, 5))))\n", "plt.hist(die_rolls, bins=range(3, 6 + 6 + 4 + 1))\n", "plt.xlim(xmin=3, xmax=16)\n", "plt.title('2d6 + 1d4')" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Z3jEYsktZ7C9erzjf3elkRUVJAPDgg0HhxtefDItSrJgcTJDHTeQVh4MFy8oX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\nqakJdXV1X3o/+5Ocn/TnzDo3Nzes47yxsrICl8uF5+dnqNV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xs, ys = np.random.randn(2, 400)\n", "plt.scatter(xs, ys)\n", "plt.xlim(-4, 4)\n", "plt.ylim(-4, 4)\n", "# Here, gca() stands for \"get current axis.\"\n", "plt.gca().set_aspect('equal')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Statistical Plotting with Seaborn ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Though we won't go into very much detail here, we also suggest the [Seaborn](http://seaborn.pydata.org/) library for more statistically-minded plotting. For instance, Seaborn makes it easy to plot joint distributions given samples." ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import seaborn as sbs" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Dbrfjc+lmOw3Uha/KTadV2uve1ZZax6fDmuWrbvdty/HY3PAGAydrXVtP6keh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p4mcCgXpDavvlfBmBuv/jf/1djEc5Lhct/uf/7cdoe43JKMfRwZ6XobBs6Bkf71UIk/n24Tju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aDr6b37kh2J5MEoajuFJ+c1jLHoeo0HZytoQ9g7v7YI55lhjLIEvadRRF7OUZEEoPPGj3lj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\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M5Un/vjvbvvR8at3fxmP0oXw15SvZGP3zP/8zmBl/+qd/im9/+9v4p3/6J/zx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\nX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o7GxuQcO0rp0rqj7L65CH+UsiPpg87PjqZ8u/HkTfn2QsdHl65X+sk40A9knmC4turb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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = np.random.randn(100000, 2)\n", "sbs.jointplot(data[:, 0], data[:, 1], kind='hex')" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }