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<!DOCTYPE html>
<!-- saved from url=(0071)http://localhost:8889/notebooks/GitHub/datalab/code/iching_intro.ipynb# -->
<html><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<meta charset="utf-8">
<title>iching_intro</title>
<link rel="shortcut icon" type="image/x-icon" href="http://localhost:8889/static/base/images/favicon.ico?v=30780f272ab4aac64aa073a841546240">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<link rel="stylesheet" href="./iching_intro_files/jquery-ui.min.css" type="text/css">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<script type="text/javascript" src="./iching_intro_files/MathJax.js" charset="utf-8"></script>
<script type="text/javascript">
// MathJax disabled, set as null to distingish from *missing* MathJax,
// where it will be undefined, and should prompt a dialog later.
window.mathjax_url = "https://cdn.mathjax.org/mathjax/latest/MathJax.js";
</script>
<link rel="stylesheet" href="./iching_intro_files/bootstrap-tour.min.css" type="text/css">
<link rel="stylesheet" href="http://localhost:8889/static/components/codemirror/lib/codemirror.css?v=1c26f7d1f30cbcc58982178f588906d5">
<link rel="stylesheet" href="./iching_intro_files/style.min.css" type="text/css">
<link rel="stylesheet" href="./iching_intro_files/override.css" type="text/css">
<link rel="stylesheet" href="" id="kernel-css" type="text/css">
<link rel="stylesheet" href="./iching_intro_files/custom.css" type="text/css">
<script src="./iching_intro_files/promise.min.js" type="text/javascript" charset="utf-8"></script>
<script src="./iching_intro_files/require.js" type="text/javascript" charset="utf-8"></script>
<script>
require.config({
urlArgs: "v=20150624215153",
baseUrl: '/static/',
paths: {
nbextensions : '/nbextensions',
kernelspecs : '/kernelspecs',
underscore : 'components/underscore/underscore-min',
backbone : 'components/backbone/backbone-min',
jquery: 'components/jquery/jquery.min',
bootstrap: 'components/bootstrap/js/bootstrap.min',
bootstraptour: 'components/bootstrap-tour/build/js/bootstrap-tour.min',
jqueryui: 'components/jquery-ui/ui/minified/jquery-ui.min',
moment: 'components/moment/moment',
codemirror: 'components/codemirror',
termjs: 'components/term.js/src/term',
},
shim: {
underscore: {
exports: '_'
},
backbone: {
deps: ["underscore", "jquery"],
exports: "Backbone"
},
bootstrap: {
deps: ["jquery"],
exports: "bootstrap"
},
bootstraptour: {
deps: ["bootstrap"],
exports: "Tour"
},
jqueryui: {
deps: ["jquery"],
exports: "$"
}
}
});
require.config({
map: {
'*':{
'contents': 'services/contents',
}
}
});
</script>
<script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="base/js/namespace" src="./iching_intro_files/namespace.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="jquery" src="./iching_intro_files/jquery.min.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/notebook" src="./iching_intro_files/notebook.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="services/contents" src="./iching_intro_files/contents.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="services/config" src="./iching_intro_files/config.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="base/js/utils" src="./iching_intro_files/utils.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="base/js/page" src="./iching_intro_files/page.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="base/js/events" src="./iching_intro_files/events.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="auth/js/loginwidget" src="./iching_intro_files/loginwidget.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/maintoolbar" src="./iching_intro_files/maintoolbar.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/pager" src="./iching_intro_files/pager.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/quickhelp" src="./iching_intro_files/quickhelp.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/menubar" src="./iching_intro_files/menubar.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/notificationarea" src="./iching_intro_files/notificationarea.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/savewidget" src="./iching_intro_files/savewidget.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/actions" src="./iching_intro_files/actions.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/keyboardmanager" src="./iching_intro_files/keyboardmanager.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/kernelselector" src="./iching_intro_files/kernelselector.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/lib/codemirror" src="./iching_intro_files/codemirror.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/about" src="./iching_intro_files/about.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="custom/custom" src="./iching_intro_files/custom.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="moment" src="./iching_intro_files/moment.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/mode/meta" src="./iching_intro_files/meta.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="base/js/dialog" src="./iching_intro_files/dialog.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/cell" src="./iching_intro_files/cell.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/textcell" src="./iching_intro_files/textcell.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/codecell" src="./iching_intro_files/codecell.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="services/sessions/session" src="./iching_intro_files/session.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/celltoolbar" src="./iching_intro_files/celltoolbar.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="components/marked/lib/marked" src="./iching_intro_files/marked.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/addon/runmode/runmode" src="./iching_intro_files/runmode.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/mathjaxutils" src="./iching_intro_files/mathjaxutils.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="base/js/keyboard" src="./iching_intro_files/keyboard.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/tooltip" src="./iching_intro_files/tooltip.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/celltoolbarpresets/default" src="./iching_intro_files/default.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/celltoolbarpresets/rawcell" src="./iching_intro_files/rawcell.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/celltoolbarpresets/slideshow" src="./iching_intro_files/slideshow.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/scrollmanager" src="./iching_intro_files/scrollmanager.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/toolbar" src="./iching_intro_files/toolbar.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/tour" src="./iching_intro_files/tour.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="base/js/notificationarea" src="./iching_intro_files/notificationarea(1).js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="jqueryui" src="./iching_intro_files/jquery-ui.min.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="bootstrap" src="./iching_intro_files/bootstrap.min.js"></script><style id="style-1-cropbar-clipper">/* Copyright 2014 Evernote Corporation. All rights reserved. */
.en-markup-crop-options {
top: 18px !important;
left: 50% !important;
margin-left: -100px !important;
width: 200px !important;
border: 2px rgba(255,255,255,.38) solid !important;
border-radius: 4px !important;
}
.en-markup-crop-options div div:first-of-type {
margin-left: 0px !important;
}
</style><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/addon/edit/matchbrackets" src="./iching_intro_files/matchbrackets.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/addon/edit/closebrackets" src="./iching_intro_files/closebrackets.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/addon/comment/comment" src="./iching_intro_files/comment.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="base/js/security" src="./iching_intro_files/security.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/mode/gfm/gfm" src="./iching_intro_files/gfm.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/codemirror-ipythongfm" src="./iching_intro_files/codemirror-ipythongfm.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/outputarea" src="./iching_intro_files/outputarea.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/completer" src="./iching_intro_files/completer.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/mode/python/python" src="./iching_intro_files/python.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/codemirror-ipython" src="./iching_intro_files/codemirror-ipython.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="services/kernels/kernel" src="./iching_intro_files/kernel.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="base/js/notificationwidget" src="./iching_intro_files/notificationwidget.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="underscore" src="./iching_intro_files/underscore-min.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="bootstraptour" src="./iching_intro_files/bootstrap-tour.min.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="components/google-caja/html-css-sanitizer-minified" src="./iching_intro_files/html-css-sanitizer-minified.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/mode/markdown/markdown" src="./iching_intro_files/markdown.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/addon/mode/overlay" src="./iching_intro_files/overlay.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/addon/mode/multiplex" src="./iching_intro_files/multiplex.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/mode/stex/stex" src="./iching_intro_files/stex.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="notebook/js/contexthint" src="./iching_intro_files/contexthint.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="services/kernels/comm" src="./iching_intro_files/comm.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="services/kernels/serialize" src="./iching_intro_files/serialize.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/init" src="./iching_intro_files/init.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="codemirror/mode/xml/xml" src="./iching_intro_files/xml.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/manager" src="./iching_intro_files/manager.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget_link" src="./iching_intro_files/widget_link.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget_bool" src="./iching_intro_files/widget_bool.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget_button" src="./iching_intro_files/widget_button.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget_box" src="./iching_intro_files/widget_box.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget_float" src="./iching_intro_files/widget_float.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget_image" src="./iching_intro_files/widget_image.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget_int" src="./iching_intro_files/widget_int.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget_output" src="./iching_intro_files/widget_output.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget_selection" src="./iching_intro_files/widget_selection.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget_selectioncontainer" src="./iching_intro_files/widget_selectioncontainer.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget_string" src="./iching_intro_files/widget_string.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="widgets/js/widget" src="./iching_intro_files/widget.js"></script><script type="text/javascript" charset="utf-8" async="" data-requirecontext="_" data-requiremodule="backbone" src="./iching_intro_files/backbone-min.js"></script><style type="text/css">.MathJax_Hover_Frame {border-radius: .25em; -webkit-border-radius: .25em; -moz-border-radius: .25em; -khtml-border-radius: .25em; box-shadow: 0px 0px 15px #83A; -webkit-box-shadow: 0px 0px 15px #83A; -moz-box-shadow: 0px 0px 15px #83A; -khtml-box-shadow: 0px 0px 15px #83A; border: 1px solid #A6D ! important; display: inline-block; position: absolute}
.MathJax_Hover_Arrow {position: absolute; width: 15px; height: 11px; cursor: pointer}
</style><style type="text/css">#MathJax_About {position: fixed; left: 50%; width: auto; text-align: center; border: 3px outset; padding: 1em 2em; background-color: #DDDDDD; color: black; cursor: default; font-family: message-box; font-size: 120%; font-style: normal; text-indent: 0; text-transform: none; line-height: normal; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; z-index: 201; border-radius: 15px; -webkit-border-radius: 15px; -moz-border-radius: 15px; -khtml-border-radius: 15px; box-shadow: 0px 10px 20px #808080; -webkit-box-shadow: 0px 10px 20px #808080; -moz-box-shadow: 0px 10px 20px #808080; -khtml-box-shadow: 0px 10px 20px #808080; filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')}
.MathJax_Menu {position: absolute; background-color: white; color: black; width: auto; padding: 5px 0px; border: 1px solid #CCCCCC; margin: 0; cursor: default; font: menu; text-align: left; text-indent: 0; text-transform: none; line-height: normal; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; z-index: 201; border-radius: 5px; -webkit-border-radius: 5px; -moz-border-radius: 5px; -khtml-border-radius: 5px; box-shadow: 0px 10px 20px #808080; -webkit-box-shadow: 0px 10px 20px #808080; -moz-box-shadow: 0px 10px 20px #808080; -khtml-box-shadow: 0px 10px 20px #808080; filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')}
.MathJax_MenuItem {padding: 1px 2em; background: transparent}
.MathJax_MenuArrow {position: absolute; right: .5em; color: #666666}
.MathJax_MenuActive .MathJax_MenuArrow {color: white}
.MathJax_MenuArrow.RTL {left: .5em; right: auto}
.MathJax_MenuCheck {position: absolute; left: .7em}
.MathJax_MenuCheck.RTL {right: .7em; left: auto}
.MathJax_MenuRadioCheck {position: absolute; left: .7em}
.MathJax_MenuRadioCheck.RTL {right: .7em; left: auto}
.MathJax_MenuLabel {padding: 1px 2em 3px 1.33em; font-style: italic}
.MathJax_MenuRule {border-top: 1px solid #DDDDDD; margin: 4px 3px}
.MathJax_MenuDisabled {color: GrayText}
.MathJax_MenuActive {background-color: #606872; color: white}
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<div id="notebook" tabindex="-1"><div class="container" id="notebook-container"><div class="cell text_cell rendered selected" tabindex="2"><div class="prompt input_prompt"></div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 141.09375px; left: 249.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true" style=""><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; margin-bottom: 0px; border-right-width: 30px; min-height: 402px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre>x</pre></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 244px; top: 135.5px; height: 17.5px;"> </div></div><div class="CodeMirror-code"><pre class=""><span style="padding-right: 0.1px;"><span class="cm-tag">![]</span><span class="cm-string">(https://upload.wikimedia.org/wikipedia/commons/thumb/3/35/I_Ching_Song_Dynasty_print.jpg/440px-I_Ching_Song_Dynasty_print.jpg)</span></span></pre><pre class=""><span style="padding-right: 0.1px;"><span></span></span></pre><pre><span style="padding-right: 0.1px;">iching is a packge developed by Cheng-Jun Wang. It employs the method of Shicao prediction to reproce the prediction of I Ching--the Book of Exchanges. The I Ching ([î tɕíŋ]; Chinese: 易經; pinyin: Yìjīng), also known as the Classic of Changes or Book of Changes in English, is an ancient divination text and the oldest of the Chinese classics. </span></pre><pre class=""><span style="padding-right: 0.1px;"><span></span></span></pre><pre><span style="padding-right: 0.1px;"><span class="cm-tag">![]</span><span class="cm-string">(https://upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Yarrow_stalks_for_I_Ching.JPG/440px-Yarrow_stalks_for_I_Ching.JPG)</span></span></pre><pre class=""><span style="padding-right: 0.1px;"><span></span></span></pre><pre><span style="padding-right: 0.1px;">Fifty yarrow Achillea millefolium subsp. m. var. millefolium stalks, used for I Ching divination.The Zhou yi provided a guide to cleromancy that used the stalks of the yarrow plant, but it is not known how the yarrow stalks became numbers, or how specific lines were chosen from the line readings.[22] In the hexagrams, broken lines were used as shorthand for the numbers 6 (六) and 8 (八), and solid lines were shorthand for values of 7 (七) and 9 (九). The Great Commentary contains a late classic description of a process where various numerological operations are performed on a bundle of 50 stalks, leaving remainders of 6 to 9.</span></pre><pre class=""><span style="padding-right: 0.1px;"><span></span></span></pre><pre><span style="padding-right: 0.1px;">大衍之数五十，其用四十有九。分而为二以象两，挂一以象三，揲之以四以象四时，归奇于扐以象闰。五岁再闰，故再扐而后挂。天一，地二；天三，地四；天五，地六；天七，地八；天九，地十。天数五，地数五。五位相得而各有合，天数二十有五，地数三十，凡天地之数五十有五，此所以成变化而行鬼神也。乾之策二百一十有六，坤之策百四十有四，凡三百六十，当期之日。二篇之策，万有一千五百二十，当万物之数也。是故四营而成《易》，十有八变而成卦，八卦而小成。引而伸之，触类而长之，天下之能事毕矣。显道神德行，是故可与酬酢，可与祐神矣。子曰：“知变化之道者，其知神之所为乎。”</span></pre><pre class=""><span style="padding-right: 0.1px;"><span></span></span></pre><pre class=""><span style="padding-right: 0.1px;"><span></span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 402px;"></div><div class="CodeMirror-gutters" style="display: none; height: 432px;"></div></div></div></div><div class="text_cell_render rendered_html" tabindex="-1"><p><img src="./iching_intro_files/440px-I_Ching_Song_Dynasty_print.jpg" alt=""></p>
<p>iching is a packge developed by Cheng-Jun Wang. It employs the method of Shicao prediction to reproce the prediction of I Ching--the Book of Exchanges. The I Ching ([î tɕíŋ]; Chinese: 易經; pinyin: Yìjīng), also known as the Classic of Changes or Book of Changes in English, is an ancient divination text and the oldest of the Chinese classics. </p>
<p><img src="./iching_intro_files/440px-Yarrow_stalks_for_I_Ching.JPG" alt=""></p>
<p>Fifty yarrow Achillea millefolium subsp. m. var. millefolium stalks, used for I Ching divination.The Zhou yi provided a guide to cleromancy that used the stalks of the yarrow plant, but it is not known how the yarrow stalks became numbers, or how specific lines were chosen from the line readings.[22] In the hexagrams, broken lines were used as shorthand for the numbers 6 (六) and 8 (八), and solid lines were shorthand for values of 7 (七) and 9 (九). The Great Commentary contains a late classic description of a process where various numerological operations are performed on a bundle of 50 stalks, leaving remainders of 6 to 9.</p>
<p>大衍之数五十，其用四十有九。分而为二以象两，挂一以象三，揲之以四以象四时，归奇于扐以象闰。五岁再闰，故再扐而后挂。天一，地二；天三，地四；天五，地六；天七，地八；天九，地十。天数五，地数五。五位相得而各有合，天数二十有五，地数三十，凡天地之数五十有五，此所以成变化而行鬼神也。乾之策二百一十有六，坤之策百四十有四，凡三百六十，当期之日。二篇之策，万有一千五百二十，当万物之数也。是故四营而成《易》，十有八变而成卦，八卦而小成。引而伸之，触类而长之，天下之能事毕矣。显道神德行，是故可与酬酢，可与祐神矣。子曰：“知变化之道者，其知神之所为乎。”</p>
</div></div></div><div class="cell text_cell rendered unselected" tabindex="2"><div class="prompt input_prompt"></div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 94.546875px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true" style=""><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; margin-bottom: 0px; border-right-width: 30px; min-height: 33px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 88.953125px; top: 0px; height: 22px;"> </div></div><div class="CodeMirror-code"><pre class=""><span style="padding-right: 0.1px;"><span class="cm-header cm-header-1">#Install</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 33px;"></div><div class="CodeMirror-gutters" style="display: none; height: 63px;"></div></div></div></div><div class="text_cell_render rendered_html" tabindex="-1"><h1 id="Install">Install<a class="anchor-link" href="http://localhost:8889/notebooks/GitHub/datalab/code/iching_intro.ipynb#Install">¶</a></h1>
</div></div></div><div class="cell text_cell rendered unselected" tabindex="2"><div class="prompt input_prompt"></div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 39.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px; bottom: 0px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true" style=""><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; margin-bottom: 0px; border-right-width: 30px; min-height: 29px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre><span>xxxxxxxxxx</span></pre></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors" style="visibility: hidden;"><div class="CodeMirror-cursor" style="left: 34px; top: 0px; height: 18px;"> </div></div><div class="CodeMirror-code"><pre><span style="padding-right: 0.1px;"><span class="cm-header cm-header-4">#### pip install iching</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 29px;"></div><div class="CodeMirror-gutters" style="display: none; height: 60px;"></div></div></div></div><div class="text_cell_render rendered_html" tabindex="-1"><h4 id="pip-install-iching">pip install iching<a class="anchor-link" href="http://localhost:8889/notebooks/GitHub/datalab/code/iching_intro.ipynb#pip-install-iching">¶</a></h4>
</div></div></div><div class="cell text_cell rendered unselected" tabindex="2"><div class="prompt input_prompt"></div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 19.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true" style=""><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; margin-bottom: 0px; border-right-width: 30px; min-height: 33px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 14px; top: 0px; height: 22px;"> </div></div><div class="CodeMirror-code"><pre class=""><span style="padding-right: 0.1px;"><span class="cm-header cm-header-1">#Import and Use</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 33px;"></div><div class="CodeMirror-gutters" style="display: none; height: 63px;"></div></div></div></div><div class="text_cell_render rendered_html" tabindex="-1"><h1 id="Import-and-Use">Import and Use<a class="anchor-link" href="http://localhost:8889/notebooks/GitHub/datalab/code/iching_intro.ipynb#Import-and-Use">¶</a></h1>
</div></div></div><div class="cell code_cell rendered unselected" tabindex="2"><div class="input"><div class="prompt input_prompt">In [5]:</div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-ipython"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 5.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; min-width: 213px; margin-bottom: 0px; border-right-width: 30px; min-height: 28px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors" style=""><div class="CodeMirror-cursor" style="left: 0px; top: 0px; height: 17px;"> </div></div><div class="CodeMirror-code"><pre class=""><span style="padding-right: 0.1px;"><span class="cm-keyword">from</span> <span class="cm-variable">iching</span> <span class="cm-keyword">import</span> <span class="cm-variable">iching</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 28px;"></div><div class="CodeMirror-gutters" style="display: none; height: 58px;"></div></div></div></div></div></div><div class="widget-area" style="display: none;"><div class="prompt"><button class="close">×</button></div><div class="widget-subarea"></div></div><div class="output_wrapper"><div class="out_prompt_overlay prompt" title="click to scroll output; double click to hide" style="display: none;"></div><div class="output" style="display: none;"></div><div class="btn btn-default output_collapsed" title="click to expand output" style="display: none;">. . .</div></div></div><div class="cell text_cell rendered unselected" tabindex="2"><div class="prompt input_prompt"></div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 128.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true" style=""><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; margin-bottom: 0px; border-right-width: 30px; min-height: 30px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre><span>xxxxxxxxxx</span></pre></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors" style="visibility: hidden;"><div class="CodeMirror-cursor" style="left: 123px; top: 0px; height: 19px;"> </div></div><div class="CodeMirror-code"><pre><span style="padding-right: 0.1px;"><span class="cm-header cm-header-3">###Predicting Six Yao</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 30px;"></div><div class="CodeMirror-gutters" style="display: none; height: 61px;"></div></div></div></div><div class="text_cell_render rendered_html" tabindex="-1"><h3 id="Predicting-Six-Yao">Predicting Six Yao<a class="anchor-link" href="http://localhost:8889/notebooks/GitHub/datalab/code/iching_intro.ipynb#Predicting-Six-Yao">¶</a></h3>
</div></div></div><div class="cell code_cell rendered unselected" tabindex="2"><div class="input"><div class="prompt input_prompt">In [6]:</div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-ipython"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 5.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; min-width: 162.625px; margin-bottom: 0px; border-right-width: 30px; min-height: 28px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors" style=""><div class="CodeMirror-cursor" style="left: 0px; top: 0px; height: 17px;"> </div></div><div class="CodeMirror-code"><pre class=""><span style="padding-right: 0.1px;"><span class="cm-variable">iching</span>.<span class="cm-variable">getPredict</span>()</span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 28px;"></div><div class="CodeMirror-gutters" style="display: none; height: 58px;"></div></div></div></div></div></div><div class="widget-area" style="display: none;"><div class="prompt"><button class="close">×</button></div><div class="widget-subarea"></div></div><div class="output_wrapper"><div class="out_prompt_overlay prompt" title="click to scroll output; double click to hide" style=""></div><div class="output" style=""><div class="output_area"><div class="prompt output_prompt">Out[6]:</div><div class="output_subarea output_text output_result"><pre>('100001', None)</pre></div></div></div><div class="btn btn-default output_collapsed" title="click to expand output" style="display: none;">. . .</div></div></div><div class="cell text_cell rendered unselected" tabindex="2"><div class="prompt input_prompt"></div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 35.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true" style=""><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; margin-bottom: 0px; border-right-width: 30px; min-height: 30px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre><span>xxxxxxxxxx</span></pre></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors" style="visibility: hidden;"><div class="CodeMirror-cursor" style="left: 30px; top: 0px; height: 19px;"> </div></div><div class="CodeMirror-code"><pre><span style="padding-right: 0.1px;"><span class="cm-header cm-header-3">###Get the iching name</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 30px;"></div><div class="CodeMirror-gutters" style="display: none; height: 61px;"></div></div></div></div><div class="text_cell_render rendered_html" tabindex="-1"><h3 id="Get-the-iching-name">Get the iching name<a class="anchor-link" href="http://localhost:8889/notebooks/GitHub/datalab/code/iching_intro.ipynb#Get-the-iching-name">¶</a></h3>
</div></div></div><div class="cell code_cell rendered unselected" tabindex="2"><div class="input"><div class="prompt input_prompt">In [9]:</div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-ipython"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 13.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1" draggable="false"><div class="CodeMirror-sizer" style="margin-left: 0px; min-width: 389px; margin-bottom: 0px; border-right-width: 30px; min-height: 45px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors" style=""><div class="CodeMirror-cursor" style="left: 8px; top: 0px; height: 17px;"> </div></div><div class="CodeMirror-code"><pre class=""><span style="padding-right: 0.1px;"><span class="cm-variable">fixPred</span>, <span class="cm-variable">changePred</span> = <span class="cm-variable">iching</span>.<span class="cm-variable">getPredict</span>()</span></pre><pre class=""><span style="padding-right: 0.1px;"><span class="cm-variable">iching</span>.<span class="cm-variable">interpretPredict</span>(<span class="cm-variable">fixPred</span>, <span class="cm-variable">changePred</span> )</span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 45px;"></div><div class="CodeMirror-gutters" style="display: none; height: 75px;"></div></div></div></div></div></div><div class="widget-area" style="display: none;"><div class="prompt"><button class="close">×</button></div><div class="widget-subarea"></div></div><div class="output_wrapper"><div class="out_prompt_overlay prompt" title="click to scroll output; double click to hide" style=""></div><div class="output" style=""><div class="output_area"><div class="prompt"></div><div class="output_subarea output_text output_stream output_stdout"><pre>坤
</pre></div></div></div><div class="btn btn-default output_collapsed" title="click to expand output" style="display: none;">. . .</div></div></div><div class="cell code_cell rendered unselected" tabindex="2"><div class="input"><div class="prompt input_prompt">In [11]:</div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-ipython"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 22.59375px; left: 391.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; min-width: 389.462890625px; margin-bottom: 0px; border-right-width: 30px; min-height: 45px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors" style=""><div class="CodeMirror-cursor" style="left: 386px; top: 17px; height: 17px;"> </div></div><div class="CodeMirror-code"><pre class=""><span style="padding-right: 0.1px;"><span class="cm-variable">fixPred</span>, <span class="cm-variable">changePred</span> = <span class="cm-variable">iching</span>.<span class="cm-variable">getPredict</span>()</span></pre><pre><span style="padding-right: 0.1px;"><span class="cm-variable">iching</span>.<span class="cm-variable">interpretPredict</span>(<span class="cm-variable">fixPred</span>, <span class="cm-variable">changePred</span> )</span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 45px;"></div><div class="CodeMirror-gutters" style="display: none; height: 75px;"></div></div></div></div></div></div><div class="widget-area" style="display: none;"><div class="prompt"><button class="close">×</button></div><div class="widget-subarea"></div></div><div class="output_wrapper"><div class="out_prompt_overlay prompt" title="click to scroll output; double click to hide" style=""></div><div class="output" style=""><div class="output_area"><div class="prompt"></div><div class="output_subarea output_text output_stream output_stdout"><pre>there is a changing predict! Also run changePredict()
there is a changing predict! Also run changePredict()
大过 & 蹇
</pre></div></div></div><div class="btn btn-default output_collapsed" title="click to expand output" style="display: none;">. . .</div></div></div><div class="cell text_cell rendered unselected" tabindex="2"><div class="prompt input_prompt"></div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 35.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true" style=""><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; margin-bottom: 0px; border-right-width: 30px; min-height: 30px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre><span>xxxxxxxxxx</span></pre></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 30px; top: 0px; height: 19px;"> </div></div><div class="CodeMirror-code"><pre><span style="padding-right: 0.1px;"><span class="cm-header cm-header-3">###First Change</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 30px;"></div><div class="CodeMirror-gutters" style="display: none; height: 61px;"></div></div></div></div><div class="text_cell_render rendered_html" tabindex="-1"><h3 id="First-Change">First Change<a class="anchor-link" href="http://localhost:8889/notebooks/GitHub/datalab/code/iching_intro.ipynb#First-Change">¶</a></h3>
</div></div></div><div class="cell code_cell rendered unselected" tabindex="2"><div class="input"><div class="prompt input_prompt">In [13]:</div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-ipython"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 5.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; min-width: 456.673828125px; margin-bottom: 0px; border-right-width: 30px; min-height: 62px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors" style="visibility: hidden;"><div class="CodeMirror-cursor" style="left: 0px; top: 0px; height: 17px;"> </div></div><div class="CodeMirror-code"><pre class=""><span style="padding-right: 0.1px;"><span class="cm-variable">data</span> = <span class="cm-number">50</span> <span class="cm-operator">-</span> <span class="cm-number">1</span></span></pre><pre class=""><span style="padding-right: 0.1px;"><span class="cm-variable">sky</span>, <span class="cm-variable">earth</span>, <span class="cm-variable">firstChange</span>, <span class="cm-variable">data</span> = <span class="cm-variable">iching</span>.<span class="cm-variable">getChange</span>(<span class="cm-variable">data</span>)</span></pre><pre class=""><span style="padding-right: 0.1px;"><span class="cm-keyword">print</span> <span class="cm-variable">sky</span>, <span class="cm-string">'\n'</span>, <span class="cm-variable">earth</span>, <span class="cm-string">'\n'</span>,<span class="cm-variable">firstChange</span>, <span class="cm-string">'\n'</span>, <span class="cm-variable">data</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 62px;"></div><div class="CodeMirror-gutters" style="display: none; height: 92px;"></div></div></div></div></div></div><div class="widget-area" style="display: none;"><div class="prompt"><button class="close">×</button></div><div class="widget-subarea"></div></div><div class="output_wrapper"><div class="out_prompt_overlay prompt" title="click to scroll output; double click to hide" style=""></div><div class="output" style=""><div class="output_area"><div class="prompt"></div><div class="output_subarea output_text output_stream output_stdout"><pre>33
15
5
44
</pre></div></div></div><div class="btn btn-default output_collapsed" title="click to expand output" style="display: none;">. . .</div></div></div><div class="cell text_cell rendered unselected" tabindex="2"><div class="prompt input_prompt"></div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 35.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true" style=""><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; margin-bottom: 0px; border-right-width: 30px; min-height: 30px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre><span>xxxxxxxxxx</span></pre></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 30px; top: 0px; height: 19px;"> </div></div><div class="CodeMirror-code"><pre><span style="padding-right: 0.1px;"><span class="cm-header cm-header-3">###Second Change</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 30px;"></div><div class="CodeMirror-gutters" style="display: none; height: 61px;"></div></div></div></div><div class="text_cell_render rendered_html" tabindex="-1"><h3 id="Second-Change">Second Change<a class="anchor-link" href="http://localhost:8889/notebooks/GitHub/datalab/code/iching_intro.ipynb#Second-Change">¶</a></h3>
</div></div></div><div class="cell code_cell rendered unselected" tabindex="2"><div class="input"><div class="prompt input_prompt">In [15]:</div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-ipython"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 22.59375px; left: 114.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; min-width: 465.0751953125px; margin-bottom: 0px; border-right-width: 30px; min-height: 45px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors" style=""><div class="CodeMirror-cursor" style="left: 109px; top: 17px; height: 17px;"> </div></div><div class="CodeMirror-code"><pre class=""><span style="padding-right: 0.1px;"><span class="cm-variable">sky</span>, <span class="cm-variable">earth</span>, <span class="cm-variable">secondChange</span>, <span class="cm-variable">data</span> = <span class="cm-variable">iching</span>.<span class="cm-variable">getChange</span>(<span class="cm-variable">data</span>)</span></pre><pre class=""><span style="padding-right: 0.1px;"><span class="cm-keyword">print</span> <span class="cm-variable">sky</span>, <span class="cm-string">'\n'</span>, <span class="cm-variable">earth</span>, <span class="cm-string">'\n'</span>,<span class="cm-variable">secondChange</span>, <span class="cm-string">'\n'</span>, <span class="cm-variable">data</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 45px;"></div><div class="CodeMirror-gutters" style="display: none; height: 75px;"></div></div></div></div></div></div><div class="widget-area" style="display: none;"><div class="prompt"><button class="close">×</button></div><div class="widget-subarea"></div></div><div class="output_wrapper"><div class="out_prompt_overlay prompt" title="click to scroll output; double click to hide" style=""></div><div class="output" style=""><div class="output_area"><div class="prompt"></div><div class="output_subarea output_text output_stream output_stdout"><pre>19
24
8
36
</pre></div></div></div><div class="btn btn-default output_collapsed" title="click to expand output" style="display: none;">. . .</div></div></div><div class="cell text_cell rendered unselected" tabindex="2"><div class="prompt input_prompt"></div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 35.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true" style=""><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; margin-bottom: 0px; border-right-width: 30px; min-height: 30px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre><span>xxxxxxxxxx</span></pre></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors" style="visibility: hidden;"><div class="CodeMirror-cursor" style="left: 30px; top: 0px; height: 19px;"> </div></div><div class="CodeMirror-code"><pre><span style="padding-right: 0.1px;"><span class="cm-header cm-header-3">###Third Change</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 30px;"></div><div class="CodeMirror-gutters" style="display: none; height: 61px;"></div></div></div></div><div class="text_cell_render rendered_html" tabindex="-1"><h3 id="Third-Change">Third Change<a class="anchor-link" href="http://localhost:8889/notebooks/GitHub/datalab/code/iching_intro.ipynb#Third-Change">¶</a></h3>
</div></div></div><div class="cell code_cell rendered unselected" tabindex="2"><div class="input"><div class="prompt input_prompt">In [16]:</div><div class="inner_cell"><div class="ctb_hideshow"><div class="celltoolbar"></div></div><div class="input_area"><div class="CodeMirror cm-s-ipython"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 5.59375px; left: 114.59375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" not-content="true" style="min-width: 18px;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" not-content="true"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" not-content="true"></div><div class="CodeMirror-gutter-filler" not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 0px; min-width: 456.673828125px; margin-bottom: 0px; border-right-width: 30px; min-height: 45px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines"><div style="position: relative; outline: none;"><div class="CodeMirror-measure"></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors" style=""><div class="CodeMirror-cursor" style="left: 109px; top: 0px; height: 17px;"> </div></div><div class="CodeMirror-code"><pre class=""><span style="padding-right: 0.1px;"><span class="cm-variable">sky</span>, <span class="cm-variable">earth</span>, <span class="cm-variable">thirdChange</span>, <span class="cm-variable">data</span> = <span class="cm-variable">iching</span>.<span class="cm-variable">getChange</span>(<span class="cm-variable">data</span>)</span></pre><pre class=""><span style="padding-right: 0.1px;"><span class="cm-keyword">print</span> <span class="cm-variable">sky</span>, <span class="cm-string">'\n'</span>, <span class="cm-variable">earth</span>, <span class="cm-string">'\n'</span>,<span class="cm-variable">thirdChange</span>, <span class="cm-string">'\n'</span>, <span class="cm-variable">data</span></span></pre></div></div></div></div></div><div style="position: absolute; height: 30px; width: 1px; top: 45px;"></div><div class="CodeMirror-gutters" style="display: none; height: 75px;"></div></div></div></div></div></div><div class="widget-area" style="display: none;"><div class="prompt"><button class="close">×</button></div><div class="widget-subarea"></div></div><div class="output_wrapper"><div class="out_prompt_overlay prompt" title="click to scroll output; double click to hide" style=""></div><div class="output" style=""><div class="output_area"><div class="prompt"></div><div class="output_subarea output_text output_stream output_stdout"><pre>30
5
4
32
</pre></div></div></div><div class="btn btn-default output_collapsed" title="click to expand output" style="display: none;">. . .</div></div></div></div><div class="end_space"></div></div>
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