diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..87620ac --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +.ipynb_checkpoints/ diff --git a/Notebook Basics.ipynb b/Notebook Basics.ipynb new file mode 100644 index 0000000..c8fe53d --- /dev/null +++ b/Notebook Basics.ipynb @@ -0,0 +1,254 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Notebook Basics" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Notebook dashboard" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When you first start the notebook server, your browser will open to the notebook dashboard. The dashboard serves as a home page for the notebook. Its main purpose is to display the notebooks and files in the current directory. For example, here is a screenshot of the dashboard page for the `examples` directory in the Jupyter repository:\n", + "\n", + "![Jupyter dashboard showing files tab](images/dashboard_files_tab.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The top of the notebook list displays clickable breadcrumbs of the current directory. By clicking on these breadcrumbs or on sub-directories in the notebook list, you can navigate your file system.\n", + "\n", + "To create a new notebook, click on the \"New\" button at the top of the list and select a kernel from the dropdown (as seen below). Which kernels are listed depend on what's installed on the server. Some of the kernels in the screenshot below may not exist as an option to you.\n", + "\n", + "![Jupyter \"New\" menu](images/dashboard_files_tab_new.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notebooks and files can be uploaded to the current directory by dragging a notebook file onto the notebook list or by the \"click here\" text above the list.\n", + "\n", + "The notebook list shows green \"Running\" text and a green notebook icon next to running notebooks (as seen below). Notebooks remain running until you explicitly shut them down; closing the notebook's page is not sufficient.\n", + "\n", + "\n", + "![Jupyter dashboard showing one notebook with a running kernel](images/dashboard_files_tab_run.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To shutdown, delete, duplicate, or rename a notebook check the checkbox next to it and an array of controls will appear at the top of the notebook list (as seen below). You can also use the same operations on directories and files when applicable.\n", + "\n", + "![Buttons: Duplicate, rename, shutdown, delete, new, refresh](images/dashboard_files_tab_btns.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To see all of your running notebooks along with their directories, click on the \"Running\" tab:\n", + "\n", + "![Jupyter dashboard running tab](images/dashboard_running_tab.png)\n", + "\n", + "This view provides a convenient way to track notebooks that you start as you navigate the file system in a long running notebook server." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Overview of the Notebook UI" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you create a new notebook or open an existing one, you will be taken to the notebook user interface (UI). This UI allows you to run code and author notebook documents interactively. The notebook UI has the following main areas:\n", + "\n", + "* Menu\n", + "* Toolbar\n", + "* Notebook area and cells\n", + "\n", + "The notebook has an interactive tour of these elements that can be started in the \"Help:User Interface Tour\" menu item." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Modal editor" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The Jupyter Notebook has a modal user interface. This means that the keyboard does different things depending on which mode the Notebook is in. There are two modes: edit mode and command mode." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Edit mode" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Edit mode is indicated by a green cell border and a prompt showing in the editor area:\n", + "\n", + "![Jupyter cell with green border](images/edit_mode.png)\n", + "\n", + "When a cell is in edit mode, you can type into the cell, like a normal text editor." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "Enter edit mode by pressing `Enter` or using the mouse to click on a cell's editor area.\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Command mode" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Command mode is indicated by a grey cell border with a blue left margin:\n", + "\n", + "![Jupyter cell with blue & grey border](images/command_mode.png)\n", + "\n", + "When you are in command mode, you are able to edit the notebook as a whole, but not type into individual cells. Most importantly, in command mode, the keyboard is mapped to a set of shortcuts that let you perform notebook and cell actions efficiently. For example, if you are in command mode and you press `c`, you will copy the current cell - no modifier is needed." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "Don't try to type into a cell in command mode; unexpected things will happen!\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "Enter command mode by pressing `Esc` or using the mouse to click *outside* a cell's editor area.\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Mouse navigation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "All navigation and actions in the Notebook are available using the mouse through the menubar and toolbar, which are both above the main Notebook area:\n", + "\n", + "![Jupyter notebook menus and toolbar](images/menubar_toolbar.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The first idea of mouse based navigation is that **cells can be selected by clicking on them.** The currently selected cell gets a grey or green border depending on whether the notebook is in edit or command mode. If you click inside a cell's editor area, you will enter edit mode. If you click on the prompt or output area of a cell you will enter command mode.\n", + "\n", + "If you are running this notebook in a live session (not on http://nbviewer.jupyter.org) try selecting different cells and going between edit and command mode. Try typing into a cell." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The second idea of mouse based navigation is that **cell actions usually apply to the currently selected cell**. Thus if you want to run the code in a cell, you would select it and click the button in the toolbar or the \"Cell:Run\" menu item. Similarly, to copy a cell you would select it and click the button in the toolbar or the \"Edit:Copy\" menu item. With this simple pattern, you should be able to do most everything you need with the mouse.\n", + "\n", + "Markdown cells have one other state that can be modified with the mouse. These cells can either be rendered or unrendered. When they are rendered, you will see a nice formatted representation of the cell's contents. When they are unrendered, you will see the raw text source of the cell. To render the selected cell with the mouse, click the button in the toolbar or the \"Cell:Run\" menu item. To unrender the selected cell, double click on the cell." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Keyboard Navigation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The modal user interface of the Jupyter Notebook has been optimized for efficient keyboard usage. This is made possible by having two different sets of keyboard shortcuts: one set that is active in edit mode and another in command mode.\n", + "\n", + "The most important keyboard shortcuts are `Enter`, which enters edit mode, and `Esc`, which enters command mode.\n", + "\n", + "In edit mode, most of the keyboard is dedicated to typing into the cell's editor. Thus, in edit mode there are relatively few shortcuts. In command mode, the entire keyboard is available for shortcuts, so there are many more. The `Help`->`Keyboard Shortcuts` dialog lists the available shortcuts." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We recommend learning the command mode shortcuts in the following rough order:\n", + "\n", + "1. Basic navigation: `enter`, `shift-enter`, `up/k`, `down/j`\n", + "2. Saving the notebook: `s`\n", + "2. Change Cell types: `y`, `m`, `1-6`, `t`\n", + "3. Cell creation: `a`, `b`\n", + "4. Cell editing: `x`, `c`, `v`, `d`, `z`\n", + "5. Kernel operations: `i`, `0` (press twice)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "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 +} diff --git a/Running Code.ipynb b/Running Code.ipynb new file mode 100644 index 0000000..a076b49 --- /dev/null +++ b/Running Code.ipynb @@ -0,0 +1,877 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Running Code" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First and foremost, the Jupyter Notebook is an interactive environment for writing and running code. The notebook is capable of running code in a wide range of languages. However, each notebook is associated with a single kernel. This notebook is associated with the IPython kernel, therefor runs Python code." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Code cells allow you to enter and run code" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Run a code cell using `Shift-Enter` or pressing the button in the toolbar above:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "a = 10" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10\n" + ] + } + ], + "source": [ + "print(a)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are two other keyboard shortcuts for running code:\n", + "\n", + "* `Alt-Enter` runs the current cell and inserts a new one below.\n", + "* `Ctrl-Enter` run the current cell and enters command mode." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Managing the Kernel" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Code is run in a separate process called the Kernel. The Kernel can be interrupted or restarted. Try running the following cell and then hit the button in the toolbar above." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import time\n", + "time.sleep(10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If the Kernel dies you will be prompted to restart it. Here we call the low-level system libc.time routine with the wrong argument via\n", + "ctypes to segfault the Python interpreter:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "from ctypes import CDLL\n", + "# This will crash a Linux or Mac system\n", + "# equivalent calls can be made on Windows\n", + "\n", + "# Uncomment these lines if you would like to see the segfault\n", + "\n", + "# dll = 'dylib' if sys.platform == 'darwin' else 'so.6'\n", + "# libc = CDLL(\"libc.%s\" % dll) \n", + "# libc.time(-1) # BOOM!!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

**IPython** is the kernel that comes with Jupyter, for running Python code. You can install other kernels to run code in other languages, like R or Julia. [Many kernels](https://github.com/jupyter/jupyter/wiki/Jupyter-kernels) are available, though some of them work better than others.

\n", + "\n", + "

You can see which kernel is running in the top right of the Notebook interface.

" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Cell menu" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The \"Cell\" menu has a number of menu items for running code in different ways. These includes:\n", + "\n", + "* Run and Select Below\n", + "* Run and Insert Below\n", + "* Run All\n", + "* Run All Above\n", + "* Run All Below" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Restarting the kernels" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The kernel maintains the state of a notebook's computations. You can reset this state by restarting the kernel. This is done by clicking on the in the toolbar above." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## sys.stdout and sys.stderr" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The stdout and stderr streams are displayed as text in the output area." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "hi, stdout\n" + ] + } + ], + "source": [ + "print(\"hi, stdout\")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "hi, stderr\n" + ] + } + ], + "source": [ + "from __future__ import print_function\n", + "print('hi, stderr', file=sys.stderr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Output is asynchronous" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "All output is displayed asynchronously as it is generated in the Kernel. If you execute the next cell, you will see the output one piece at a time, not all at the end." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n", + "1\n", + "2\n", + "3\n", + "4\n", + "5\n", + "6\n", + "7\n" + ] + } + ], + "source": [ + "import time, sys\n", + "for i in range(8):\n", + " print(i)\n", + " time.sleep(0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Large outputs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To better handle large outputs, the output area can be collapsed. Run the following cell and then single- or double- click on the active area to the left of the output:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n", + "1\n", + "2\n", + "3\n", + "4\n", + "5\n", + "6\n", + "7\n", + "8\n", + "9\n", + "10\n", + "11\n", + "12\n", + "13\n", + "14\n", + "15\n", + "16\n", + "17\n", + "18\n", + "19\n", + "20\n", + "21\n", + "22\n", + "23\n", + "24\n", + "25\n", + "26\n", + "27\n", + "28\n", + "29\n", + "30\n", + "31\n", + "32\n", + "33\n", + "34\n", + "35\n", + "36\n", + "37\n", + "38\n", + "39\n", + "40\n", + "41\n", + "42\n", + "43\n", + "44\n", + "45\n", + "46\n", + "47\n", + "48\n", + "49\n" + ] + } + ], + "source": [ + "for i in range(50):\n", + " print(i)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Beyond a certain point, output will scroll automatically:" + ] + }, + { + "cell_type": "code", + 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"1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794687\n" + ] + } + ], + "source": [ + "for i in range(500):\n", + " print(2**i - 1)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "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 +} diff --git a/Typesetting Equations.ipynb b/Typesetting Equations.ipynb new file mode 100644 index 0000000..4d8f5f9 --- /dev/null +++ b/Typesetting Equations.ipynb @@ -0,0 +1,280 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The Markdown parser included in the Jupyter Notebook is MathJax-aware. This means that you can freely mix in mathematical expressions using the [MathJax subset of Tex and LaTeX](http://docs.mathjax.org/en/latest/tex.html#tex-support). [Some examples from the MathJax site](https://www.mathjax.org/demos/tex-samples/) are reproduced below, as well as the Markdown+TeX source." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Motivating Examples\n", + "\n", + "## The Lorenz Equations\n", + "### Source\n", + "```\n", + "\\begin{align}\n", + "\\dot{x} & = \\sigma(y-x) \\\\\n", + "\\dot{y} & = \\rho x - y - xz \\\\\n", + "\\dot{z} & = -\\beta z + xy\n", + "\\end{align}\n", + "```\n", + "### Display\n", + "\n", + "$\\begin{align}\n", + "\\dot{x} & = \\sigma(y-x) \\\\\n", + "\\dot{y} & = \\rho x - y - xz \\\\\n", + "\\dot{z} & = -\\beta z + xy\n", + "\\end{align}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Cauchy-Schwarz Inequality\n", + "### Source\n", + "```\n", + "\\begin{equation*}\n", + "\\left( \\sum_{k=1}^n a_k b_k \\right)^2 \\leq \\left( \\sum_{k=1}^n a_k^2 \\right) \\left( \\sum_{k=1}^n b_k^2 \\right)\n", + "\\end{equation*}\n", + "```\n", + "### Display\n", + "\n", + "$\\begin{equation*}\n", + "\\left( \\sum_{k=1}^n a_k b_k \\right)^2 \\leq \\left( \\sum_{k=1}^n a_k^2 \\right) \\left( \\sum_{k=1}^n b_k^2 \\right)\n", + "\\end{equation*}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## A Cross Product Formula\n", + "### Source\n", + "```\n", + "\\begin{equation*}\n", + "\\mathbf{V}_1 \\times \\mathbf{V}_2 = \\begin{vmatrix}\n", + "\\mathbf{i} & \\mathbf{j} & \\mathbf{k} \\\\\n", + "\\frac{\\partial X}{\\partial u} & \\frac{\\partial Y}{\\partial u} & 0 \\\\\n", + "\\frac{\\partial X}{\\partial v} & \\frac{\\partial Y}{\\partial v} & 0\n", + "\\end{vmatrix} \n", + "\\end{equation*}\n", + "```\n", + "### Display\n", + "\n", + "$\\begin{equation*}\n", + "\\mathbf{V}_1 \\times \\mathbf{V}_2 = \\begin{vmatrix}\n", + "\\mathbf{i} & \\mathbf{j} & \\mathbf{k} \\\\\n", + "\\frac{\\partial X}{\\partial u} & \\frac{\\partial Y}{\\partial u} & 0 \\\\\n", + "\\frac{\\partial X}{\\partial v} & \\frac{\\partial Y}{\\partial v} & 0\n", + "\\end{vmatrix} \n", + "\\end{equation*}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The probability of getting \\(k\\) heads when flipping \\(n\\) coins is\n", + "### Source\n", + "```\n", + "\\begin{equation*}\n", + "P(E) = {n \\choose k} p^k (1-p)^{ n-k} \n", + "\\end{equation*}\n", + "```\n", + "### Display\n", + "\n", + "$\\begin{equation*}\n", + "P(E) = {n \\choose k} p^k (1-p)^{ n-k} \n", + "\\end{equation*}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## An Identity of Ramanujan\n", + "### Source\n", + "```\n", + "\\begin{equation*}\n", + "\\frac{1}{\\Bigl(\\sqrt{\\phi \\sqrt{5}}-\\phi\\Bigr) e^{\\frac25 \\pi}} =\n", + "1+\\frac{e^{-2\\pi}} {1+\\frac{e^{-4\\pi}} {1+\\frac{e^{-6\\pi}}\n", + "{1+\\frac{e^{-8\\pi}} {1+\\ldots} } } } \n", + "\\end{equation*}\n", + "```\n", + "### Display\n", + "$\\begin{equation*}\n", + "\\frac{1}{\\Bigl(\\sqrt{\\phi \\sqrt{5}}-\\phi\\Bigr) e^{\\frac25 \\pi}} =\n", + "1+\\frac{e^{-2\\pi}} {1+\\frac{e^{-4\\pi}} {1+\\frac{e^{-6\\pi}}\n", + "{1+\\frac{e^{-8\\pi}} {1+\\ldots} } } } \n", + "\\end{equation*}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## A Rogers-Ramanujan Identity\n", + "### Source\n", + "```\n", + "\\begin{equation*}\n", + "1 + \\frac{q^2}{(1-q)}+\\frac{q^6}{(1-q)(1-q^2)}+\\cdots =\n", + "\\prod_{j=0}^{\\infty}\\frac{1}{(1-q^{5j+2})(1-q^{5j+3})},\n", + "\\quad\\quad \\text{for $|q|<1$}. \n", + "\\end{equation*}\n", + "```\n", + "### Display\n", + "\n", + "$$\\begin{equation*}\n", + "1 + \\frac{q^2}{(1-q)}+\\frac{q^6}{(1-q)(1-q^2)}+\\cdots =\n", + "\\prod_{j=0}^{\\infty}\\frac{1}{(1-q^{5j+2})(1-q^{5j+3})},\n", + "\\quad\\quad \\text{for $|q|<1$}. \n", + "\\end{equation*}$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Maxwell's Equations\n", + "### Source\n", + "```\n", + "\\begin{align}\n", + "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\ \\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}\n", + "```\n", + "### Display\n", + "\n", + "$\\begin{align}\n", + "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\ \\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n", + "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n", + "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n", + "\\end{align}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Equation Numbering and References\n", + "\n", + "Equation numbering and referencing will be available in a future version of the Jupyter notebook." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Inline Typesetting (Mixing Markdown and TeX)\n", + "\n", + "While display equations look good for a page of samples, the ability to mix math and *formatted* **text** in a paragraph is also important.\n", + "\n", + "### Source\n", + "```\n", + "This expression $\\sqrt{3x-1}+(1+x)^2$ is an example of a TeX inline equation in a [Markdown-formatted](https://daringfireball.net/projects/markdown/) sentence. \n", + "```\n", + "\n", + "### Display\n", + "This expression $\\sqrt{3x-1}+(1+x)^2$ is an example of a TeX inline equation in a [Markdown-formatted](https://daringfireball.net/projects/markdown/) sentence. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Other Syntax\n", + "\n", + "You will notice in other places on the web that `$$` are needed explicitly to begin and end MathJax typesetting. This is **not** required if you will be using TeX environments, but the Jupyter notebook will accept this syntax on legacy notebooks. \n", + "\n", + "## Source\n", + "\n", + "```\n", + "$$\n", + "\\begin{array}{c}\n", + "y_1 \\\\\\\n", + "y_2 \\mathtt{t}_i \\\\\\\n", + "z_{3,4}\n", + "\\end{array}\n", + "$$\n", + "```\n", + "\n", + "```\n", + "$$\n", + "\\begin{array}{c}\n", + "y_1 \\cr\n", + "y_2 \\mathtt{t}_i \\cr\n", + "y_{3}\n", + "\\end{array}\n", + "$$\n", + "```\n", + "\n", + "```\n", + "$$\\begin{eqnarray} \n", + "x' &=& &x \\sin\\phi &+& z \\cos\\phi \\\\\n", + "z' &=& - &x \\cos\\phi &+& z \\sin\\phi \\\\\n", + "\\end{eqnarray}$$\n", + "```\n", + "\n", + "```\n", + "$$\n", + "x=4\n", + "$$\n", + "```\n", + "\n", + "## Display\n", + "\n", + "$$\n", + "\\begin{array}{c}\n", + "y_1 \\\\\\\n", + "y_2 \\mathtt{t}_i \\\\\\\n", + "z_{3,4}\n", + "\\end{array}\n", + "$$\n", + "\n", + "$$\n", + "\\begin{array}{c}\n", + "y_1 \\cr\n", + "y_2 \\mathtt{t}_i \\cr\n", + "y_{3}\n", + "\\end{array}\n", + "$$\n", + "\n", + "$$\\begin{eqnarray} \n", + "x' &=& &x \\sin\\phi &+& z \\cos\\phi \\\\\n", + "z' &=& - &x \\cos\\phi &+& z \\sin\\phi \\\\\n", + "\\end{eqnarray}$$\n", + "\n", + "$$\n", + "x=4\n", + "$$" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Working With Markdown Cells.ipynb b/Working With Markdown Cells.ipynb new file mode 100644 index 0000000..9df9240 --- /dev/null +++ b/Working With Markdown Cells.ipynb @@ -0,0 +1,326 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Markdown Cells" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Text can be added to Jupyter Notebooks using Markdown cells. Markdown is a popular markup language that is a superset of HTML. Its specification can be found here:\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Markdown basics" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can make text *italic* or **bold**." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can build nested itemized or enumerated lists:\n", + "\n", + "* One\n", + " - Sublist\n", + " - This\n", + " - Sublist\n", + " - That\n", + " - The other thing\n", + "* Two\n", + " - Sublist\n", + "* Three\n", + " - Sublist\n", + "\n", + "Now another list:\n", + "\n", + "1. Here we go\n", + " 1. Sublist\n", + " 2. Sublist\n", + "2. There we go\n", + "3. Now this" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can add horizontal rules:\n", + "\n", + "---" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here is a blockquote:\n", + "\n", + "> Beautiful is better than ugly.\n", + "> Explicit is better than implicit.\n", + "> Simple is better than complex.\n", + "> Complex is better than complicated.\n", + "> Flat is better than nested.\n", + "> Sparse is better than dense.\n", + "> Readability counts.\n", + "> Special cases aren't special enough to break the rules.\n", + "> Although practicality beats purity.\n", + "> Errors should never pass silently.\n", + "> Unless explicitly silenced.\n", + "> In the face of ambiguity, refuse the temptation to guess.\n", + "> There should be one-- and preferably only one --obvious way to do it.\n", + "> Although that way may not be obvious at first unless you're Dutch.\n", + "> Now is better than never.\n", + "> Although never is often better than *right* now.\n", + "> If the implementation is hard to explain, it's a bad idea.\n", + "> If the implementation is easy to explain, it may be a good idea.\n", + "> Namespaces are one honking great idea -- let's do more of those!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And shorthand for links:\n", + "\n", + "[Jupyter's website](http://jupyter.org)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Headings" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can add headings by starting a line with one (or multiple) `#` followed by a space, as in the following example:\n", + "\n", + "```\n", + "# Heading 1\n", + "# Heading 2\n", + "## Heading 2.1\n", + "## Heading 2.2\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Embedded code" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can embed code meant for illustration instead of execution in Python:\n", + "\n", + " def f(x):\n", + " \"\"\"a docstring\"\"\"\n", + " return x**2\n", + "\n", + "or other languages:\n", + "\n", + " if (i=0; i\n", + "\n", + "Header 1\n", + "Header 2\n", + "\n", + "\n", + "row 1, cell 1\n", + "row 1, cell 2\n", + "\n", + "\n", + "row 2, cell 1\n", + "row 2, cell 2\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Local files" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you have local files in your Notebook directory, you can refer to these files in Markdown cells directly:\n", + "\n", + " [subdirectory/]\n", + "\n", + "For example, in the images folder, we have the Python logo:\n", + "\n", + " \n", + "\n", + "\n", + "\n", + "and a video with the HTML5 video tag:\n", + "\n", + "