{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

\n", "The IPython Notebook is a front-end to the IPython interpreter that is meant to be a modern scientific notebook.\n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can\n", "\n", "- write __rich__ _formatted_ `notes`\n", "- display equations and derivations $\\alpha^2 = 15x$, \n", "- embed plots, images, and video, TODO:\n", "- then share it or render it into Latex, HTML, or a number of other output formats. \n", "\n", "It's a great place for data exploration and logging your research progress. Let's learn about some of the features in detail." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Cells" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The front-end relies on __cells__, which are just text boxes that can be designated as _text_ or _code_. To edit a cell, you just double click on the text for that cell. To create a new cell, use the `Insert` menu at the top of the page to insert a cell above or below the currently selected cell.\n", "\n", "You can change the cell type using the drop-down menu to the left of the words `Cell Toolbar` in the icon bar above. The cell type can be __Code__, __Markdown__, __Raw Text__, or a heading." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Code cells" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Code cells allow you to write and execute Python code in blocks. This is a bit nicer than the standard interpreter, where you have to do it line-by-line. This is especially helpful when you have to re-run some code -- you can just re-run the whole cell, instead of running each line independently. To run the code, use:\n", "\n", "* Shift + Enter : Runs cell and moved to next cell\n", "* Ctrl + Enter : Runs cell, stays in cell\n", "\n", "In the backend, code cells use the IPython interpreter, and thus has all of the same magic functions, tab complete, and extra help features that we have already seen." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print 8*11 + 16\n", "print \"demitri\"" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "print \"spam\"*10" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All the fancy IPython stuff is available here too:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ls" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "int?" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "%timeit range(1000)" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Markdown cells" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Markdown is a human-readable markup format, similar to HTML but much more user-friendly. Markdown cells allow rich text formatting but will also display plain-text as expected." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Markdown basics: lists, markup and code\n", "\n", "* list item \n", "* list item\n", " * nested list item\n", "\n", "\n", "* _italics_\n", "* __bold__\n", "* `fixed-width font`\n", "\n", "Code examples:\n", "\n", " def hello_ipython():\n", " print \"Hello IPython!\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I can also render equations __in-line__ by enclosing latex in \\$'s:\n", "\n", "$\\alpha * \\beta + \\gamma^3$\n", "\n", "$\\int^6_0 x^2 dx$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Rich media" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can include images and video, and even write HTML directly in the notebook:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image(url='http://o.onionstatic.com/images/7/7954/original/700.hq.jpg', width=300)" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('xEhaVhta7sI')" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import HTML\n", "HTML(\"\"\n", " \"Everyone loves comic sans!\"\n", " \"\")" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Misc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* To save a notebook, use __Cmd + s__ (mac) or __Ctrl + s__ (other). For now, you can use the toolbar above to add new cells, and change the type, but there are keyboard bindings for most commands. To see what key-bindings are available, do __Ctrl + m__, __h__." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "nbconvert" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(Comes with IPython version >1.0)\n", "\n", "A tool that converts the notebook file into another format, e.g., HTML, Latex, Markdown.\n", "\n", "It's a command-line tool, so you run with:\n", "\n", " ipython nbconvert --to FORMAT notebook-name.ipynb\n", " \n", "Where `FORMAT` can be html, latex, markdown, rtf, or slides." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "[NBViewer](http://nbviewer.ipython.org/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A web service that lets you enter a link to a notebook (you __can't__ upload the file, it has to be hosted somewhere), and it will render it as an HTML page at a permanent link for anyone to view!\n", "\n", "For example: [check this out](http://nbviewer.ipython.org/github/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/blob/master/Chapter1_Introduction/Chapter1_Introduction.ipynb)" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you started with --pylab=inline, you're fine. If not, run this command:\n", "\n", " %pylab inline" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.random(size=(100)))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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UKsjn81oPUrVaRa1WQywWM9b5kDwwxWJROQCQezQ8PIz777+/6e+0/g/A8z0BCAMg3yWa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\n9uwBMOcVfP3rX8fb3vY2w6cdIkSIECHcImLZOLd33303fvzjHyMSiSA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